diff --git a/doc/source/example.rst b/doc/source/example.rst index 2aaeb93..640c84f 100644 --- a/doc/source/example.rst +++ b/doc/source/example.rst @@ -20,10 +20,22 @@ Example Gallery examples/Sklearn_Mixin.ipynb examples/Multiclass_Classification.ipynb examples/NMF.ipynb -new_examples_FEI + examples/Smooth_SVM_new.ipynb examples/MonotonicSVM.ipynb - + examples/SVM_new.ipynb + examples/Squared_SVM_new.ipynb + examples/QR_new.ipynb + examples/QR_eps_new.ipynb + examples/Huber_new.ipynb + examples/SVR_new.ipynb + examples/MAE_new.ipynb + examples/MSE_new.ipynb + examples/FairSVM_new.ipynb + examples/CustomQR.ipynb + examples/GridSearchCV_SVM_losses.ipynb + examples/GridSearchCV_reg_losses.ipynb + examples/ElasticNet.ipynb main @@ -45,9 +57,21 @@ List of Examples examples/Sklearn_Mixin.ipynb examples/Multiclass_Classification.ipynb examples/NMF.ipynb -new_examples_FEI + examples/Smooth_SVM_new.ipynb examples/MonotonicSVM.ipynb + examples/SVM_new.ipynb + examples/Squared_SVM_new.ipynb + examples/QR_new.ipynb + examples/QR_eps_new.ipynb + examples/Huber_new.ipynb + examples/SVR_new.ipynb + examples/MAE_new.ipynb + examples/MSE_new.ipynb + examples/FairSVM_new.ipynb + examples/CustomQR.ipynb + examples/GridSearchCV_SVM_losses.ipynb + examples/GridSearchCV_reg_losses.ipynb examples/ElasticNet.ipynb main diff --git a/doc/source/examples/CustomQR.ipynb b/doc/source/examples/CustomQR.ipynb new file mode 100644 index 0000000..ff9ab9b --- /dev/null +++ b/doc/source/examples/CustomQR.ipynb @@ -0,0 +1,1137 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# Custom QR\n", + "\n", + "The Custom QR solves the following optimization problem:\n", + "\n", + "$$\n", + "\\min_{\\mathbf{\\beta} \\in \\mathbb{R}^d}\n", + "C\\sum_{i=1}^n \\rho_{\\kappa}(y_i-\\mathbf{x}_i^\\top\\mathbf{\\beta})\n", + "+\\frac{1}{2}\\|\\mathbf{\\beta}\\|_2^2,\n", + "$$\n", + "\n", + "$$\n", + "\\text{subject to} \\quad A\\mathbf{\\beta}+b \\ge 0,\n", + "$$\n", + "\n", + "where:\n", + "\n", + "* $\\mathbf{x}_i \\in \\mathbb{R}^d$ is a feature vector\n", + "* $y_i \\in \\mathbb{R}$ is a continuous response variable\n", + "* $\\rho_{\\kappa}(u)=u\\big(\\kappa-\\mathbf{1}(u<0)\\big)$ is the quantile (check) loss\n", + "* $A \\in \\mathbb{R}^{K \\times d}$ and $b \\in \\mathbb{R}^{K}$ define custom linear constraints\n", + "\n", + "The custom constraints allow arbitrary prior knowledge (e.g. sign, ordering, budget, or linear relation constraints) to be incorporated into quantile regression.\n", + "\n", + "> **Note.** Since the check loss is a plq function and the constraints are linear ($A\\beta+b\\ge0$), we can optimize it using `rehline.plq_Ridge_Regressor`." + ], + "metadata": { + "id": "VMY5iF-Wgfm9" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "350gRKl8oZO8" + }, + "outputs": [], + "source": [ + "## install rehline\n", + "%pip install rehline -q" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "MbOVhGJWC1bM" + }, + "outputs": [], + "source": [ + "## simulate data\n", + "from sklearn.datasets import make_regression\n", + "from sklearn.preprocessing import StandardScaler\n", + "import numpy as np\n", + "\n", + "scaler = StandardScaler()\n", + "\n", + "n, d = 10000, 5\n", + "X, y = make_regression(n_samples=n, n_features=d, noise=1.0, random_state=42)\n", + "X = scaler.fit_transform(X)\n", + "y = y / y.std()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "FGHO9F1QZK5M" + }, + "outputs": [], + "source": [ + "# Example: beta_0 + beta_1 >= 3\n", + "A = np.zeros((1, d))\n", + "A[0, 0] = 1\n", + "A[0, 1] = 1\n", + "b = np.array([-3.0])" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "jAQHQ9HRcbzd" + }, + "source": [ + "## QR as baseline" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 80 + }, + "id": "F4kiv_VqJF6t", + "outputId": "1af75ee7-5a23-4909-8541-6ac79ad14768" + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "plq_Ridge_Regressor(fit_intercept=False, max_iter=10000)" + ], + "text/html": [ + "
plq_Ridge_Regressor(fit_intercept=False, max_iter=10000)
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On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" + ] + }, + "metadata": {}, + "execution_count": 4 + } + ], + "source": [ + "## we first run a QR\n", + "from rehline import plq_Ridge_Regressor\n", + "\n", + "clf = plq_Ridge_Regressor(\n", + " loss={'name': 'QR', 'qt': 0.5},\n", + " C=1.0,\n", + " max_iter=10000,\n", + " fit_intercept=False\n", + ")\n", + "clf.fit(X=X, y=y)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NHjMQ-vnclTL" + }, + "source": [ + "## Custom Constraint" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 114 + }, + "id": "beKf5mp-R3_5", + "outputId": "d2b0afc2-95c6-4492-ae2b-61d6826c0ba7" + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "plq_Ridge_Regressor(constraint=[{'A': array([[1., 1., 0., 0., 0.]]),\n", + " 'b': array([-3.]), 'name': 'custom'}],\n", + " fit_intercept=False, max_iter=10000)" + ], + "text/html": [ + "
plq_Ridge_Regressor(constraint=[{'A': array([[1., 1., 0., 0., 0.]]),\n",
+              "                                 'b': array([-3.]), 'name': 'custom'}],\n",
+              "                    fit_intercept=False, max_iter=10000)
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" + ] + }, + "metadata": {}, + "execution_count": 5 + } + ], + "source": [ + "## solve custom via `plq_Ridge_Regressor` by adding `constraint`\n", + "from rehline import plq_Ridge_Regressor\n", + "\n", + "cclf = plq_Ridge_Regressor(\n", + " loss={'name': 'QR', 'qt': 0.5},\n", + " constraint=[{'name': 'custom', 'A': A, 'b': b}],\n", + " C=1.0,\n", + " max_iter=10000,\n", + " fit_intercept=False\n", + ")\n", + "cclf.fit(X=X, y=y)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "zQOfvMjRR6Fn", + "outputId": "0f4461a4-6b1e-4119-d3b7-cee46823d8f0" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + " Model Train MSE\n", + " QR 0.000097\n", + "Custom QR 1.352705\n", + "\n", + "coef_0 + coef_1 = 3.00000008 >= 3: True\n" + ] + } + ], + "source": [ + "import pandas as pd\n", + "## score\n", + "score = clf.predict(X)\n", + "cscore = cclf.predict(X)\n", + "\n", + "qr_perf = np.mean((y - score)**2)\n", + "cqr_perf = np.mean((y - cscore)**2)\n", + "\n", + "# Create a pandas DataFrame to store the results\n", + "results = pd.DataFrame({\n", + " 'Model': ['QR', 'Custom QR'],\n", + " 'Train MSE': [qr_perf, cqr_perf]\n", + "})\n", + "\n", + "# Print the results as a table\n", + "print(results.to_string(index=False))\n", + "#Print the results of custom constraint\n", + "lhs = cclf.coef_[0] + cclf.coef_[1]\n", + "print(f\"\\ncoef_0 + coef_1 = {lhs:.8f} >= 3: {lhs >= 3}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 884 + }, + "id": "zWGh56JmZ00l", + "outputId": "a1b5a1a3-4635-4968-e6df-57ac88e9b7b6" + }, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" 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\n" + }, + "metadata": {} + } + ], + "source": [ + "import seaborn as sns\n", + "import pandas as pd\n", + "import warnings\n", + "import matplotlib.pyplot as plt\n", + "warnings.filterwarnings(\"ignore\", \"is_categorical_dtype\")\n", + "warnings.filterwarnings(\"ignore\", \"use_inf_as_na\")\n", + "\n", + "n_sample = 50\n", + "X_sample, y_sample = X[:n_sample], y[:n_sample]\n", + "qr_sample = clf.predict(X_sample)\n", + "cqr_sample = cclf.predict(X_sample)\n", + "\n", + "df = pd.DataFrame({\n", + " 'x0': X_sample[:, 0],\n", + " 'real_y': y_sample,\n", + " 'QR': qr_sample,\n", + " 'Custom_QR': cqr_sample\n", + "})\n", + "\n", + "df1 = df[['x0', 'real_y', 'QR']].melt(id_vars='x0')\n", + "sns.scatterplot(data=df1, x='x0', y='value', hue='variable').set_title(\"QR\")\n", + "plt.show()\n", + "df2 = df[['x0', 'real_y', 'Custom_QR']].melt(id_vars='x0')\n", + "sns.scatterplot(data=df2, x='x0', y='value', hue='variable').set_title(\"Custom QR\")\n", + "plt.show()" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "name": "python" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} \ No newline at end of file diff --git a/doc/source/examples/FairSVM_new.ipynb b/doc/source/examples/FairSVM_new.ipynb new file mode 100644 index 0000000..b260db8 --- /dev/null +++ b/doc/source/examples/FairSVM_new.ipynb @@ -0,0 +1,1126 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# FairSVM\n", + "\n", + "[![Slides](https://img.shields.io/badge/🦌-ReHLine-blueviolet)](https://rehline-python.readthedocs.io/en/latest//)\n", + "\n", + "The FairSVM solves the following optimization problem:\n", + "\n", + "$$\n", + "\\begin{aligned}\n", + "\\min_{\\beta \\in \\mathbb{R}^d}\\quad &\n", + "\\frac{C}{n}\\sum_{i=1}^n (1-y_i\\beta^\\top x_i)_+ + \\frac{1}{2}\\|\\beta\\|_2^2, \\\\[1ex]\n", + "\\text{subject to}\\quad &\n", + "\\frac{1}{n}\\sum_{i=1}^n z_i\\,\\beta^\\top x_i \\le \\rho,\\quad\n", + "\\frac{1}{n}\\sum_{i=1}^n z_i\\,\\beta^\\top x_i \\ge -\\rho.\n", + "\\end{aligned}\n", + "$$\n", + "\n", + "where:\n", + "\n", + "- $x_i \\in \\mathbb{R}^d$ is a feature vector\n", + "- $y_i \\in \\{-1,1\\}$ is a binary label\n", + "- $z_i$ is a collection of **centered sensitive features**, such as gender and/or race, satisfying\n", + " $$\n", + " \\sum_{i=1}^n z_{ij}=0\n", + " $$\n", + "- $z_i \\in \\mathbb{R}^{d_0}$ is a $d_0$-length sensitive feature vector\n", + "- $\\rho \\in \\mathbb{R}_+^{d_0}$ is a vector of constants that trade off predictive accuracy and fairness\n", + "\n", + "The constraints limit the correlation between the sensitive features and the decision function, helping ensure fairness in predictions.\n", + "\n", + "> **Note.** Since the hinge loss is a plq function and the fairness constraints are linear, we can optimize this model using `rehline.plq_Ridge_Classifier`." + ], + "metadata": { + "id": "4l2AItnCizvk" + } + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "CdpIoLwYNrOE" + }, + "outputs": [], + "source": [ + "## install rehline\n", + "%pip install rehline -q" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "FcaI-p84K6m4" + }, + "outputs": [], + "source": [ + "## simulate data\n", + "from sklearn.datasets import make_classification\n", + "from sklearn.preprocessing import StandardScaler\n", + "import numpy as np\n", + "\n", + "scaler = StandardScaler()\n", + "\n", + "n, d = 10000, 5\n", + "X, y = make_classification(n_samples=n, n_features=d, n_redundant=2, random_state=42)\n", + "y = 2*y - 1\n", + "X = scaler.fit_transform(X)\n", + "\n", + "## we take the first column of X as sensitive features, and tol is 0.1\n", + "sen_idx = [0]\n", + "tol_sen = 0.1" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "VEQKzCdrM3ii" + }, + "source": [ + "## SVM as baseline" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 80 + }, + "id": "uUMv2d0ZM1X5", + "outputId": "26300c19-6800-4537-ee51-455d2415c54d" + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "plq_Ridge_Classifier(loss={'name': 'svm'}, max_iter=50000)" + ], + "text/html": [ + "
plq_Ridge_Classifier(loss={'name': 'svm'}, max_iter=50000)
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" + ] + }, + "metadata": {}, + "execution_count": 3 + } + ], + "source": [ + "## we first run a SVM\n", + "from rehline import plq_Ridge_Classifier\n", + "\n", + "clf = plq_Ridge_Classifier(loss={'name': 'svm'}, C=1.0, max_iter=50000)\n", + "clf.fit(X=X, y=y)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "4S9GFijHNPCC" + }, + "source": [ + "## FairSVM" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 114 + }, + "id": "F17oa5oUNGed", + "outputId": "e162d128-0ba8-4b7b-96f6-b6a7c7ba58ae" + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "plq_Ridge_Classifier(constraint=[{'name': 'fair', 'sen_idx': [0],\n", + " 'tol_sen': 0.1}],\n", + " loss={'name': 'svm'}, max_iter=50000)" + ], + "text/html": [ + "
plq_Ridge_Classifier(constraint=[{'name': 'fair', 'sen_idx': [0],\n",
+              "                                  'tol_sen': 0.1}],\n",
+              "                     loss={'name': 'svm'}, max_iter=50000)
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On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" + ] + }, + "metadata": {}, + "execution_count": 4 + } + ], + "source": [ + "## solve FairSVM via `plq_Ridge_Classifier` by adding `constraint`\n", + "import warnings\n", + "warnings.filterwarnings(\"ignore\")\n", + "fclf = plq_Ridge_Classifier(loss={'name': 'svm'},\n", + " constraint=[{'name': 'fair',\n", + " 'sen_idx': sen_idx,\n", + " 'tol_sen': tol_sen}],\n", + " C=1.0,\n", + " max_iter=50000)\n", + "fclf.fit(X=X, y=y)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "4PsZ5ASPO2lN" + }, + "source": [ + "## Results" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "WNhi1tI_NJc_", + "outputId": "6be1b2f1-b860-4756-d686-1d527e48e6b3" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + " Model Train Performance Correlation with Sensitive Features\n", + " SVM 0.8927 2.417714\n", + "FairSVM 0.5278 0.100728\n" + ] + } + ], + "source": [ + "import pandas as pd\n", + "\n", + "## sensitive features\n", + "X_sen = X[:, sen_idx]\n", + "\n", + "## score\n", + "score = clf.decision_function(X)\n", + "fscore = fclf.decision_function(X)\n", + "\n", + "svm_perf = len(y[score*y > 0])/n\n", + "fsvm_perf = len(y[fscore*y > 0])/n\n", + "\n", + "svm_corr = score.dot(X_sen) / n\n", + "fsvm_corr = fscore.dot(X_sen) / n\n", + "\n", + "# Create a pandas DataFrame to store the results\n", + "results = pd.DataFrame({\n", + " 'Model': ['SVM', 'FairSVM'],\n", + " 'Train Performance': [svm_perf, fsvm_perf],\n", + " 'Correlation with Sensitive Features': [svm_corr[0], fsvm_corr[0]]\n", + "})\n", + "\n", + "# Print the results as a table\n", + "print(results.to_string(index=False))" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 885 + }, + "id": "rKNP993vNMAo", + "outputId": "1ca8ba1f-60f9-446f-99a2-61fbfe039f65" + }, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" 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\n" + }, + "metadata": {} + } + ], + "source": [ + "import seaborn as sns\n", + "import pandas as pd\n", + "import warnings\n", + "import matplotlib.pyplot as plt\n", + "warnings.filterwarnings(\"ignore\", \"is_categorical_dtype\")\n", + "warnings.filterwarnings(\"ignore\", \"use_inf_as_na\")\n", + "\n", + "df = pd.DataFrame({'score': score, 'fscore': fscore, 'y': y})\n", + "\n", + "sns.histplot(df, x=\"score\", hue=\"y\").set_title(\"SVM\")\n", + "plt.show()\n", + "sns.histplot(df, x=\"fscore\", hue=\"y\").set_title(\"FairSVM\")\n", + "plt.show()" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "name": "python" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} \ No newline at end of file diff --git a/doc/source/examples/GridSearchCV_SVM_losses.ipynb b/doc/source/examples/GridSearchCV_SVM_losses.ipynb new file mode 100644 index 0000000..8da617d --- /dev/null +++ b/doc/source/examples/GridSearchCV_SVM_losses.ipynb @@ -0,0 +1,716 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# Compare SVM Losses with GridSearchCV\n", + "\n", + "Due to its compatibility with the scikit-learn API, `GridSearchCV` can be used to compare `SVM`, `Smooth SVM`, and `Squared SVM` losses under a unified pipeline, identify the best loss, and select its optimal hyperparameter." + ], + "metadata": { + "id": "LS0oNHbfk_fh" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "WaRThRkBIA5j" + }, + "outputs": [], + "source": [ + "## install rehline\n", + "%pip install rehline -q" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "O76jxeIHIALp" + }, + "outputs": [], + "source": [ + "## set up plotting style\n", + "import seaborn as sns\n", + "import matplotlib.pyplot as plt\n", + "custom_palette = ['#FFE4E1', '#3D325C']\n", + "sns.set_palette(custom_palette)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "IDityv5qCrQv" + }, + "outputs": [], + "source": [ + "## simulate data\n", + "from sklearn.datasets import make_classification\n", + "import numpy as np\n", + "\n", + "n, d = 10000, 5\n", + "X, y = make_classification(n_samples=n, n_features=d, random_state=42)\n", + "y = 2*y - 1" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 188 + }, + "id": "JKowJ-3KHCrF", + "outputId": "7ac2550b-91a4-4fec-e5f8-8bb406882c19" + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "GridSearchCV(cv=5,\n", + " estimator=Pipeline(steps=[('scaler', StandardScaler()),\n", + " ('clf',\n", + " plq_Ridge_Classifier(loss={'name': 'svm'}))]),\n", + " param_grid={'clf__C': [0.1, 1.0, 10.0],\n", + " 'clf__loss': [{'name': 'svm'}, {'name': 'sSVM'},\n", + " {'name': 'squared SVM'}]})" + ], + "text/html": [ + "
GridSearchCV(cv=5,\n",
+              "             estimator=Pipeline(steps=[('scaler', StandardScaler()),\n",
+              "                                       ('clf',\n",
+              "                                        plq_Ridge_Classifier(loss={'name': 'svm'}))]),\n",
+              "             param_grid={'clf__C': [0.1, 1.0, 10.0],\n",
+              "                         'clf__loss': [{'name': 'svm'}, {'name': 'sSVM'},\n",
+              "                                       {'name': 'squared SVM'}]})
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
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" + ] + }, + "metadata": {}, + "execution_count": 4 + } + ], + "source": [ + "## compare SVM losses via GridSearchCV\n", + "from sklearn.pipeline import Pipeline\n", + "from sklearn.preprocessing import StandardScaler\n", + "from rehline import plq_Ridge_Classifier\n", + "from sklearn.model_selection import GridSearchCV\n", + "import warnings\n", + "warnings.filterwarnings(\"ignore\")\n", + "\n", + "pipe = Pipeline([\n", + " ('scaler', StandardScaler()),\n", + " ('clf', plq_Ridge_Classifier(loss={'name': 'svm'}))\n", + "])\n", + "\n", + "# Define the parameter grid to search\n", + "param_grid = {\n", + " 'clf__C': [0.1, 1.0, 10.0],\n", + " 'clf__loss': [{'name': 'svm'}, {'name': 'sSVM'}, {'name': 'squared SVM'}]\n", + "}\n", + "\n", + "# Create the GridSearchCV object\n", + "grid_search = GridSearchCV(pipe, param_grid, cv=5)\n", + "grid_search.fit(X, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "C5_7b71QM9XK", + "outputId": "5da96c54-c66c-4887-a03c-1ad75c5006e0" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Overall Best Params: {'clf__C': 0.1, 'clf__loss': {'name': 'svm'}}\n", + "Overall Best Score: 0.8922\n" + ] + } + ], + "source": [ + "# Print the best loss function and score\n", + "print(f\"Overall Best Params: {grid_search.best_params_}\")\n", + "print(f\"Overall Best Score: {grid_search.best_score_:.4f}\")" + ] + }, + { + "cell_type": "code", + "source": [ + "import seaborn as sns\n", + "import pandas as pd\n", + "import warnings\n", + "import matplotlib.pyplot as plt\n", + "warnings.filterwarnings(\"ignore\", \"is_categorical_dtype\")\n", + "warnings.filterwarnings(\"ignore\", \"use_inf_as_na\")\n", + "\n", + "score = grid_search.decision_function(X)\n", + "df = pd.DataFrame({'score': score, 'y': y})\n", + "sns.histplot(data=df, x=\"score\", hue=\"y\").set_title(\"SVM (C=0.1)\")\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 451 + }, + "id": "w9S0zkTZk6MW", + "outputId": "eed0cc38-eeaf-4cb6-91d4-b241560fccb1" + }, + "execution_count": 6, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "TxnC0FjziZvD" + }, + "source": [ + "## Compare SVM & Smooth SVM & Squared SVM" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "eiqipAokiYf5", + "outputId": "cbbe18de-d2c8-4f41-a50c-c2617af16171" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + " Loss Best C CV Score\n", + " svm 0.1 0.8922\n", + " sSVM 0.1 0.8920\n", + "squared SVM 0.1 0.8913\n" + ] + } + ], + "source": [ + "## print best results per loss\n", + "import pandas as pd\n", + "df = pd.DataFrame(grid_search.cv_results_)\n", + "df['Loss'] = df['param_clf__loss'].apply(lambda x: x['name'])\n", + "df = df.sort_values('mean_test_score', ascending=False)\n", + "best = df.drop_duplicates(subset=['Loss'])\n", + "table = best[['Loss', 'param_clf__C', 'mean_test_score']].rename(\n", + " columns={'param_clf__C': 'Best C', 'mean_test_score': 'CV Score'}\n", + ")\n", + "\n", + "print(table.to_string(index=False))" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 160 + }, + "id": "27SVRgNeIp7G", + "outputId": "1f58cb0f-400d-4fcf-fc88-ac6da0685ebf" + }, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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+ }, + "metadata": {} + } + ], + "source": [ + "## plot score distributions for best models\n", + "import seaborn as sns\n", + "import warnings\n", + "import matplotlib.pyplot as plt\n", + "warnings.filterwarnings(\"ignore\", \"is_categorical_dtype\")\n", + "warnings.filterwarnings(\"ignore\", \"use_inf_as_na\")\n", + "\n", + "fig, axes = plt.subplots(1, 3, figsize=(15, 4))\n", + "for i in range(len(best)):\n", + " loss = best['Loss'].iloc[i]\n", + " c = best['param_clf__C'].iloc[i]\n", + "\n", + " pipe = Pipeline([\n", + " ('scaler', StandardScaler()),\n", + " ('clf', plq_Ridge_Classifier(loss={'name': loss}, C=c))\n", + " ])\n", + " pipe.fit(X, y)\n", + "\n", + " score = pipe.decision_function(X)\n", + " df = pd.DataFrame({'score': score, 'y': y})\n", + " sns.histplot(df, x=\"score\", hue=\"y\", ax=axes[i]).set_title(loss)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "name": "python" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} \ No newline at end of file diff --git a/doc/source/examples/GridSearchCV_reg_losses.ipynb b/doc/source/examples/GridSearchCV_reg_losses.ipynb new file mode 100644 index 0000000..b8d68c1 --- /dev/null +++ b/doc/source/examples/GridSearchCV_reg_losses.ipynb @@ -0,0 +1,712 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# Compare Regression Losses with GridSearchCV\n", + "\n", + "Due to its compatibility with the scikit-learn API, `GridSearchCV` can be used to compare `Huber`, `MAE`, and `MSE` losses under a unified pipeline, identify the best loss, and select its optimal hyperparameter." + ], + "metadata": { + "id": "_NvZXRY3oIW6" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "O_SFIipUcSyD" + }, + "outputs": [], + "source": [ + "## install rehline\n", + "%pip install rehline -q" + ] + }, + { + "cell_type": "code", + "source": [ + "## simulate data\n", + "from sklearn.datasets import make_regression\n", + "\n", + "X, y = make_regression(n_samples=10000, n_features=5, noise=30.0, random_state=42)\n", + "y = y / y.std()\n", + "y[-40:] += 20" + ], + "metadata": { + "id": "mLPT_rZskyrr" + }, + "execution_count": 2, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "## compare Huber, MAE and MSE via GridSearchCV\n", + "from sklearn.pipeline import Pipeline\n", + "from sklearn.preprocessing import StandardScaler\n", + "from rehline import plq_Ridge_Regressor\n", + "from sklearn.model_selection import GridSearchCV\n", + "import warnings\n", + "warnings.filterwarnings(\"ignore\")\n", + "\n", + "pipe = Pipeline([\n", + " ('scaler', StandardScaler()),\n", + " ('reg', plq_Ridge_Regressor(loss={'name': 'mse'}))\n", + "])\n", + "\n", + "# Define the parameter grid to search\n", + "param_grid = {\n", + " 'reg__C': [0.1, 1.0, 10.0],\n", + " 'reg__loss': [{'name': 'huber', 'tau': 1.0}, {'name': 'mae'}, {'name': 'mse'}]\n", + "}\n", + "\n", + "# Create the GridSearchCV object\n", + "grid_search = GridSearchCV(pipe, param_grid, cv=5)\n", + "grid_search.fit(X, y)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 188 + }, + "id": "cd-YVK8UpDD0", + "outputId": "d3d158df-1329-42a3-e402-1ab30ce693e9" + }, + "execution_count": 3, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "GridSearchCV(cv=5,\n", + " estimator=Pipeline(steps=[('scaler', StandardScaler()),\n", + " ('reg',\n", + " plq_Ridge_Regressor(loss={'name': 'mse'}))]),\n", + " param_grid={'reg__C': [0.1, 1.0, 10.0],\n", + " 'reg__loss': [{'name': 'huber', 'tau': 1.0},\n", + " {'name': 'mae'}, {'name': 'mse'}]})" + ], + "text/html": [ + "
GridSearchCV(cv=5,\n",
+              "             estimator=Pipeline(steps=[('scaler', StandardScaler()),\n",
+              "                                       ('reg',\n",
+              "                                        plq_Ridge_Regressor(loss={'name': 'mse'}))]),\n",
+              "             param_grid={'reg__C': [0.1, 1.0, 10.0],\n",
+              "                         'reg__loss': [{'name': 'huber', 'tau': 1.0},\n",
+              "                                       {'name': 'mae'}, {'name': 'mse'}]})
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" + ] + }, + "metadata": {}, + "execution_count": 3 + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Print the best loss function and score\n", + "print(f\"Overall Best Params: {grid_search.best_params_}\")\n", + "print(f\"Overall Best Score: {grid_search.best_score_:.5f}\")" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "cHQEgKt8pMKr", + "outputId": "79033a37-e379-45e9-8717-0c28369fb346" + }, + "execution_count": 4, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Overall Best Params: {'reg__C': 1.0, 'reg__loss': {'name': 'mae'}}\n", + "Overall Best Score: 0.77874\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "## Plot the best model\n", + "import pandas as pd\n", + "import seaborn as sns\n", + "import warnings\n", + "import matplotlib.pyplot as plt\n", + "\n", + "warnings.filterwarnings(\"ignore\", \"is_categorical_dtype\")\n", + "warnings.filterwarnings(\"ignore\", \"use_inf_as_na\")\n", + "\n", + "n_sample = 50\n", + "X_sample, y_sample = X[:n_sample], y[:n_sample]\n", + "grid_sample = grid_search.predict(X_sample)\n", + "\n", + "df = pd.DataFrame({'x0': X_sample[:, 0], 'real_y': y_sample, 'mae': grid_sample})\n", + "df = df.melt(id_vars='x0')\n", + "\n", + "sns.scatterplot(data=df, x='x0', y='value', hue='variable').set_title(\"MAE(C=1.0)\")\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 445 + }, + "id": "M9d0eBU0o_bu", + "outputId": "3b48f730-18d1-4aee-d496-ea57e4533698" + }, + "execution_count": 5, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## Compare Huber & MAE & MSE" + ], + "metadata": { + "id": "bhsLjyUNpxHd" + } + }, + { + "cell_type": "code", + "source": [ + "# Print best results per loss\n", + "import pandas as pd\n", + "df = pd.DataFrame(grid_search.cv_results_)\n", + "df['Loss'] = df['param_reg__loss'].apply(lambda x: x['name'])\n", + "df = df.sort_values('mean_test_score', ascending=False)\n", + "best = df.drop_duplicates(subset=['Loss'])\n", + "table = best[['Loss', 'param_reg__C', 'mean_test_score']].rename(\n", + " columns={'param_reg__C': 'Best C', 'mean_test_score': 'CV Score'}\n", + ")\n", + "\n", + "print(table.to_string(index=False))" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "IgxOOM3_pIwW", + "outputId": "3e8366b7-3018-432d-e9f6-eebb76ea9c56" + }, + "execution_count": 6, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + " Loss Best C CV Score\n", + " mae 1.0 0.778740\n", + "huber 0.1 0.778691\n", + " mse 0.1 0.769240\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import seaborn as sns\n", + "import warnings\n", + "import matplotlib.pyplot as plt\n", + "warnings.filterwarnings(\"ignore\", \"is_categorical_dtype\")\n", + "warnings.filterwarnings(\"ignore\", \"use_inf_as_na\")\n", + "\n", + "fig, axes = plt.subplots(1, 3, figsize=(15, 4))\n", + "n_sample = 50\n", + "X_sample, y_sample = X[:n_sample], y[:n_sample]\n", + "\n", + "for i in range(len(best)):\n", + " loss = best['Loss'].iloc[i]\n", + " c = best['param_reg__C'].iloc[i]\n", + "\n", + " pipe = Pipeline([\n", + " ('scaler', StandardScaler()),\n", + " ('reg', plq_Ridge_Regressor(loss={'name': loss}, C=c))\n", + " ])\n", + " pipe.fit(X, y)\n", + "\n", + " pred_y = pipe.predict(X_sample)\n", + " df = pd.DataFrame({'x0': X_sample[:,0], 'real_y': y_sample, 'pred': pred_y})\n", + " df = df.melt(id_vars='x0')\n", + "\n", + " sns.scatterplot(data=df, x='x0', y='value', hue='variable', ax=axes[i], alpha=0.8).set_title(f\"{loss} (C={c})\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 160 + }, + "id": "SrjMX-b9pVus", + "outputId": "3d99d719-1408-4e72-946f-8f4da9f67723" + }, + "execution_count": 7, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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+ }, + "metadata": {} + } + ] + } + ] +} \ No newline at end of file diff --git a/doc/source/examples/Huber_new.ipynb b/doc/source/examples/Huber_new.ipynb new file mode 100644 index 0000000..1c69df1 --- /dev/null +++ b/doc/source/examples/Huber_new.ipynb @@ -0,0 +1,1243 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "l4fAl3V0MysB" + }, + "source": [ + "# Huber Regression\n", + "\n", + "[![Slides](https://img.shields.io/badge/🦌-ReHLine-blueviolet)](https://rehline-python.readthedocs.io/en/latest/)\n", + "\n", + "The regularized Huber regression solves the following optimization problem:\n", + "\n", + "$$\n", + "\\min_{\\beta \\in \\mathbb{R}^d}\n", + "C \\sum_{i=1}^n H_{\\tau}(y_i - x_i^\\top \\beta)\n", + "+ \\frac{\\lambda}{2}\\|\\beta\\|_2^2,\n", + "$$\n", + "\n", + "where $H_{\\tau}(\\cdot)$ is the Huber loss with parameter $\\tau$:\n", + "\n", + "$$\n", + "H_{\\tau}(z)=\n", + "\\begin{cases}\n", + "\\frac{z^2}{2}, & |z| \\le \\tau, \\\\\n", + "\\tau\\left(|z|-\\frac{\\tau}{2}\\right), & |z| > \\tau.\n", + "\\end{cases}\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "0zndTa8DOfT6" + }, + "source": [ + "> **Note.** Since the Huber loss is a plq function, we can optimize it using `rehline.plq_Ridge_Regressor`.\n", + "> Moreover, this wrapper adapts the `plqERM_Ridge` into a regressor, compatible with the scikit-learn API." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "8MeXCyHX0hSB" + }, + "outputs": [], + "source": [ + "## install rehline\n", + "%pip install rehline -q" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "l1yoptXqUxlc" + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "import seaborn as sns\n", + "import warnings\n", + "from sklearn.datasets import make_regression\n", + "from sklearn.preprocessing import StandardScaler" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "96X3ttm4Em6O" + }, + "outputs": [], + "source": [ + "## simulate data\n", + "np.random.seed(42)\n", + "scaler_huber = StandardScaler()\n", + "\n", + "n, d = 10000, 5\n", + "X, y = make_regression(n_samples=n, n_features=d, noise=10.0)\n", + "X = scaler_huber.fit_transform(X)\n", + "y = y / y.std()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 80 + }, + "id": "vSCgN97C0ei6", + "outputId": "6acc8a4d-52b5-4017-b6b7-1d7356c2318a" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
plq_Ridge_Regressor(C=0.001, loss={'name': 'huber', 'tau': 5.0})
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
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" + ], + "text/plain": [ + "plq_Ridge_Regressor(C=0.001, loss={'name': 'huber', 'tau': 5.0})" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "## solve Huber Regression with different `tau` via `plq_Ridge_Regressor`\n", + "from rehline import plq_Ridge_Regressor\n", + "\n", + "clf_tau01 = plq_Ridge_Regressor(loss={'name': 'huber', 'tau': 0.1}, C=10.0/n)\n", + "clf_tau01.fit(X=X, y=y)\n", + "clf_tau5 = plq_Ridge_Regressor(loss={'name': 'huber', 'tau': 5.0}, C=10.0/n)\n", + "clf_tau5.fit(X=X, y=y)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 424 + }, + "id": "-lHj744W0gFS", + "outputId": "f54a7a46-b2fc-46c7-9e5d-73912a8db40b" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "## plot Huber Regression results\n", + "warnings.filterwarnings(\"ignore\", \"is_categorical_dtype\")\n", + "\n", + "n_sample = 50\n", + "X_sample, y_sample = X[:n_sample], y[:n_sample]\n", + "tau01_sample = clf_tau01.predict(X_sample)\n", + "tau5_sample = clf_tau5.predict(X_sample)\n", + "\n", + "df = pd.DataFrame({'x0': X_sample[:,0], 'real_y': y_sample,'tau0.1': tau01_sample, 'tau5.0': tau5_sample})\n", + "df = df.melt(id_vars='x0')\n", + "\n", + "sns.scatterplot(data=df, x='x0', y='value', hue='variable')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "sluWAu-_MBxY" + }, + "source": [ + "## With Pipeline\n", + "`plq_Ridge_Regressor` can be integrated into a scikit-learn Pipeline to streamline preprocessing including scaling." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "id": "HsIykQjgXxJ8" + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "import seaborn as sns\n", + "import warnings\n", + "from sklearn.datasets import make_regression\n", + "from sklearn.preprocessing import StandardScaler\n", + "from sklearn.pipeline import Pipeline" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "id": "XgGUDZnNEDnU" + }, + "outputs": [], + "source": [ + "## simulate data\n", + "np.random.seed(42)\n", + "\n", + "n, d = 10000, 5\n", + "X, y = make_regression(n_samples=n, n_features=d, noise=10.0)\n", + "y = y / y.std()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 155 + }, + "id": "dsos8G2nEQqX", + "outputId": "2eb58d33-aab2-4f4f-b01a-ab46c52354db" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
Pipeline(steps=[('scaler', StandardScaler()),\n",
+              "                ('reg',\n",
+              "                 plq_Ridge_Regressor(C=0.001,\n",
+              "                                     loss={'name': 'huber', 'tau': 5.0}))])
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" + ], + "text/plain": [ + "Pipeline(steps=[('scaler', StandardScaler()),\n", + " ('reg',\n", + " plq_Ridge_Regressor(C=0.001,\n", + " loss={'name': 'huber', 'tau': 5.0}))])" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "## solve Huber Regression with different 'tau' via 'plq_Ridge_Regressor'\n", + "from rehline import plq_Ridge_Regressor\n", + "\n", + "pipe_tau01 = Pipeline([\n", + " ('scaler', StandardScaler()),\n", + " ('reg', plq_Ridge_Regressor(loss={'name': 'huber', 'tau': 0.1}, C=10.0/n))\n", + "])\n", + "pipe_tau01.fit(X, y)\n", + "\n", + "pipe_tau5 = Pipeline([\n", + " ('scaler', StandardScaler()),\n", + " ('reg', plq_Ridge_Regressor(loss={'name': 'huber', 'tau': 5.0}, C=10.0/n))\n", + "])\n", + "pipe_tau5.fit(X, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 424 + }, + "id": "jSJn1AaSEVfg", + "outputId": "ad872f94-0b63-4763-f634-b3c987683d8e" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "## plot Huber Regression results\n", + "warnings.filterwarnings(\"ignore\", \"is_categorical_dtype\")\n", + "\n", + "n_sample = 50\n", + "X_sample, y_sample = X[:n_sample], y[:n_sample]\n", + "tau01_sample = pipe_tau01.predict(X_sample)\n", + "tau5_sample = pipe_tau5.predict(X_sample)\n", + "\n", + "df = pd.DataFrame({'x0': X_sample[:,0], 'real_y': y_sample, 'tau0.1': tau01_sample, 'tau5.0': tau5_sample})\n", + "df = df.melt(id_vars='x0')\n", + "\n", + "sns.scatterplot(data=df, x='x0', y='value', hue='variable')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "A4gZ5oAWMFGf" + }, + "source": [ + "## Hyperparameter Tuning with GridSearchCV\n", + "\n", + "Due to its compatibility with the scikit-learn API, `GridSearchCV` can be applied to determine the optimal hyperparameters for the ReHLine model." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "R4quF91YMH-W", + "outputId": "15b30639-ee35-4846-c7a7-d2a686326057" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best Parameters (tau=0.1): {'reg__C': 0.01}\n", + "Best CV Score (tau=0.1): 0.0057\n", + "Best Parameters (tau=5.0): {'reg__C': 0.01}\n", + "Best CV Score (tau=5.0): 0.0056\n" + ] + } + ], + "source": [ + "from sklearn.model_selection import GridSearchCV\n", + "from sklearn.metrics import make_scorer, mean_squared_error\n", + "import warnings\n", + "warnings.filterwarnings(\"ignore\")\n", + "\n", + "# Define the parameter grid to search\n", + "param_grid = {'reg__C': [1.0/n, 10.0/n, 100.0/n]}\n", + "\n", + "# Use mse to evaluate the performances\n", + "mse_scorer = make_scorer(mean_squared_error, greater_is_better=False)\n", + "\n", + "# Create the GridSearchCV objects\n", + "grid_tau01 = GridSearchCV(pipe_tau01, param_grid, cv=5, scoring=mse_scorer)\n", + "grid_tau5 = GridSearchCV(pipe_tau5, param_grid, cv=5, scoring=mse_scorer)\n", + "\n", + "grid_tau01.fit(X, y)\n", + "grid_tau5.fit(X, y)\n", + "\n", + "# Print the best parameters and scores\n", + "print(f\"Best Parameters (tau=0.1): {grid_tau01.best_params_}\")\n", + "print(f\"Best CV Score (tau=0.1): {-grid_tau01.best_score_:.4f}\")\n", + "\n", + "print(f\"Best Parameters (tau=5.0): {grid_tau5.best_params_}\")\n", + "print(f\"Best CV Score (tau=5.0): {-grid_tau5.best_score_:.4f}\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 445 + }, + "id": "ETVczzhqMurc", + "outputId": "9494e16a-a4cc-4973-9ea3-bd41003cfbc1" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "## plot Huber Regression results\n", + "warnings.filterwarnings(\"ignore\", \"is_categorical_dtype\")\n", + "\n", + "n_sample = 50\n", + "X_sample, y_sample = X[:n_sample], y[:n_sample]\n", + "tau01_sample = grid_tau01.predict(X_sample)\n", + "tau5_sample = grid_tau5.predict(X_sample)\n", + "\n", + "df = pd.DataFrame({'x0': X_sample[:,0], 'real_y': y_sample, 'tau0.1':tau01_sample, 'tau5.0':tau5_sample})\n", + "df = df.melt(id_vars='x0')\n", + "\n", + "sns.scatterplot(data=df, x='x0', y='value', hue='variable').set_title(f\"Huber Regression(C tau0.1=100.0/n, C tau5.0=100.0/n)\")\n", + "plt.show()" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "name": "python" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/doc/source/examples/MAE_new.ipynb b/doc/source/examples/MAE_new.ipynb new file mode 100644 index 0000000..6838e32 --- /dev/null +++ b/doc/source/examples/MAE_new.ipynb @@ -0,0 +1,1208 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "Hin-2xH6bNex" + }, + "source": [ + "# MAE\n", + "[![Slides](https://img.shields.io/badge/🦌-ReHLine-blueviolet)](https://rehline-python.readthedocs.io/en/latest/)\n", + "\n", + "The regularized MAE regression solves the following optimization problem:\n", + "\n", + "$$\n", + "\\min_{\\mathbf{\\beta} \\in \\mathbb{R}^d}\n", + "C \\sum_{i=1}^n |y_i - \\mathbf{x}_i^\\top \\mathbf{\\beta}|\n", + "+ \\frac{1}{2}\\|\\mathbf{\\beta}\\|_2^2,\n", + "$$\n", + "\n", + "where $\\mathbf{x}_i \\in \\mathbb{R}^d$ is a feature vector, and $y_i \\in \\mathbb{R}$ is the response variable." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "> **Note.** Since the absolute loss is a plq function, we can optimize it using `rehline.plq_Ridge_Regressor`. \n", + "> Moreover, this wrapper adapts the `plqERM_Ridge` into a regressor, compatible with the scikit-learn API." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "D62H7LVT-hpG" + }, + "outputs": [], + "source": [ + "## install rehline\n", + "%pip install rehline -q" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "tHPsW2Eq6lN9" + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "import seaborn as sns\n", + "import warnings\n", + "from sklearn.datasets import make_regression\n", + "from sklearn.preprocessing import StandardScaler" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "M8dZ_mRK9YDK" + }, + "outputs": [], + "source": [ + "# Simulate data\n", + "np.random.seed(42)\n", + "scaler_mae = StandardScaler()\n", + "\n", + "n, d = 10000, 5\n", + "X, y = make_regression(n_samples=n, n_features=d, noise=1.0)\n", + "X = scaler_mae.fit_transform(X)\n", + "y = y / y.std()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 80 + }, + "id": "9JP5VwfV9aCY", + "outputId": "be0e31b9-a9f4-42db-e409-7794fc50bbe9" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
plq_Ridge_Regressor(loss={'name': 'mae'})
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" + ], + "text/plain": [ + "plq_Ridge_Regressor(loss={'name': 'mae'})" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "## solve MAE Regression via `plq_Ridge_Regressor`\n", + "from rehline import plq_Ridge_Regressor\n", + "import warnings\n", + "warnings.filterwarnings(\"ignore\")\n", + "\n", + "clf = plq_Ridge_Regressor(loss={'name': 'mae'}, C=1.0)\n", + "clf.fit(X=X, y=y)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 433 + }, + "id": "JC3sBscd9bWU", + "outputId": "25d1c2cf-347a-46df-f4e0-67883c07bd24" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "## plot MAE results\n", + "warnings.filterwarnings(\"ignore\", \"is_categorical_dtype\")\n", + "\n", + "n_sample = 200\n", + "X_sample, y_sample = X[:n_sample], y[:n_sample]\n", + "mae_sample = clf.predict(X_sample)\n", + "\n", + "df = pd.DataFrame({'x0': X_sample[:,0], 'real_y': y_sample, 'mae': mae_sample})\n", + "df = df.melt(id_vars='x0')\n", + "\n", + "sns.scatterplot(data=df, x='x0', y='value', hue='variable')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "jncslkFzacmJ" + }, + "source": [ + "## With Pipeline\n", + "`plq_Ridge_Regressor` can be integrated into a scikit-learn Pipeline to streamline preprocessing including scaling." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "id": "Y-nBBodB6xEB" + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "import seaborn as sns\n", + "import warnings\n", + "from sklearn.datasets import make_regression\n", + "from sklearn.preprocessing import StandardScaler\n", + "from sklearn.pipeline import Pipeline" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "id": "wbCrxMoaD6zd" + }, + "outputs": [], + "source": [ + "# Simulate data\n", + "np.random.seed(42)\n", + "\n", + "n, d = 10000, 5\n", + "X, y = make_regression(n_samples=n, n_features=d, noise=1.0)\n", + "y = y / y.std()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 155 + }, + "id": "W8QLXxxOD8AO", + "outputId": "2aca0c56-6e39-46e4-dc14-45bb30a8214b" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
Pipeline(steps=[('scaler', StandardScaler()),\n",
+              "                ('reg', plq_Ridge_Regressor(loss={'name': 'mae'}))])
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" + ], + "text/plain": [ + "Pipeline(steps=[('scaler', StandardScaler()),\n", + " ('reg', plq_Ridge_Regressor(loss={'name': 'mae'}))])" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "## solve MAE Regression via `plq_Ridge_Regressor`\n", + "from rehline import plq_Ridge_Regressor\n", + "\n", + "pipe = Pipeline([\n", + " ('scaler', StandardScaler()),\n", + " ('reg', plq_Ridge_Regressor(loss={'name': 'mae'}, C=1.0))\n", + "])\n", + "pipe.fit(X=X, y=y)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 433 + }, + "id": "f-I1H7joD9Mm", + "outputId": "20d280f6-f29a-40ac-b6c3-9351d0a963bc" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "## plot MAE results\n", + "warnings.filterwarnings(\"ignore\", \"is_categorical_dtype\")\n", + "\n", + "n_sample = 200\n", + "X_sample, y_sample = X[:n_sample], y[:n_sample]\n", + "mae_sample = pipe.predict(X_sample)\n", + "\n", + "df = pd.DataFrame({'x0': X_sample[:,0], 'real_y': y_sample, 'mae': mae_sample})\n", + "df = df.melt(id_vars='x0')\n", + "\n", + "sns.scatterplot(data=df, x='x0', y='value', hue='variable')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "DtRbz-jQahoi" + }, + "source": [ + "## Hyperparameter Tuning with GridSearchCV\n", + "\n", + "Due to its compatibility with the scikit-learn API, `GridSearchCV` can be applied to determine the optimal hyperparameters for the ReHLine model." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "q88jOVj9akJO", + "outputId": "666d460a-4e6e-4166-a7f6-cf794dce4bbd" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best params:{'reg__C': 0.1}\n", + "Best CV Score: 0.0059\n" + ] + } + ], + "source": [ + "from sklearn.model_selection import GridSearchCV\n", + "from sklearn.metrics import make_scorer, mean_absolute_error\n", + "import warnings\n", + "warnings.filterwarnings(\"ignore\")\n", + "\n", + "# Define the parameter grid to search\n", + "param_grid = {'reg__C': [0.1, 1.0, 10.0]}\n", + "\n", + "# Use mae to evaluate the performances\n", + "mae_scorer = make_scorer(mean_absolute_error, greater_is_better=False)\n", + "\n", + "# Create the GridSearchCV objects\n", + "grid_mae = GridSearchCV(pipe, param_grid, cv=5, scoring=mae_scorer)\n", + "\n", + "grid_mae.fit(X, y)\n", + "\n", + "# Print the best parameters and scores\n", + "print(f\"Best params:{grid_mae.best_params_}\")\n", + "print(f\"Best CV Score: {-grid_mae.best_score_:.4f}\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 455 + }, + "id": "pAMIglM1a8zx", + "outputId": "7ec7fe65-ff86-46ac-9e51-34d58e779080" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "## plot MAE results\n", + "n_sample = 200\n", + "X_sample, y_sample = X[:n_sample], y[:n_sample]\n", + "mae_sample = grid_mae.predict(X_sample)\n", + "\n", + "df = pd.DataFrame({'x0': X_sample[:, 0], 'real_y': y_sample, 'mae': mae_sample})\n", + "df = df.melt(id_vars='x0')\n", + "\n", + "sns.scatterplot(data=df, x='x0', y='value', hue='variable').set_title(\"MAE(C=0.1)\")\n", + "plt.show()" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "name": "python" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/doc/source/examples/MSE_new.ipynb b/doc/source/examples/MSE_new.ipynb new file mode 100644 index 0000000..daf6dac --- /dev/null +++ b/doc/source/examples/MSE_new.ipynb @@ -0,0 +1,1201 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "k8JuVt-Lddja" + }, + "source": [ + "# MSE\n", + "[![Slides](https://img.shields.io/badge/🦌-ReHLine-blueviolet)](https://rehline-python.readthedocs.io/en/latest/)\n", + "\n", + "The regularized MSE regression solves the following optimization problem:\n", + "\n", + "$$\n", + "\\min_{\\mathbf{\\beta} \\in \\mathbb{R}^d}\n", + "C \\sum_{i=1}^n (y_i - \\mathbf{x}_i^\\top \\mathbf{\\beta})^2\n", + "+ \\frac{1}{2}\\|\\mathbf{\\beta}\\|_2^2,\n", + "$$\n", + "\n", + "where $\\mathbf{x}_i \\in \\mathbb{R}^d$ is a feature vector, and $y_i \\in \\mathbb{R}$ is the response variable.\n", + "\n", + "> **Note.** Since the squared loss is a plq function, we can optimize it using `rehline.plq_Ridge_Regressor`. \n", + "> Moreover, this wrapper adapts the `plqERM_Ridge` into a regressor, compatible with the scikit-learn API." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "cY_04uxlIp6C" + }, + "outputs": [], + "source": [ + "## install rehline\n", + "%pip install rehline -q" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "6A65T6tzF3Lj" + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "import seaborn as sns\n", + "import warnings\n", + "from sklearn.datasets import make_regression\n", + "from sklearn.preprocessing import StandardScaler" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "iH3AockWGKbl" + }, + "outputs": [], + "source": [ + "# Simulate data\n", + "np.random.seed(42)\n", + "scaler_mse = StandardScaler()\n", + "\n", + "n, d = 10000, 5\n", + "X, y = make_regression(n_samples=n, n_features=d, noise=5.0)\n", + "X = scaler_mse.fit_transform(X)\n", + "y = y / y.std()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 80 + }, + "id": "1OGXUMlKGL3U", + "outputId": "be99ca6b-ec7a-41ac-d252-fa24ea46f411" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
plq_Ridge_Regressor(loss={'name': 'mse'})
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
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" + ], + "text/plain": [ + "plq_Ridge_Regressor(loss={'name': 'mse'})" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "## solve MSE Regression via `plq_Ridge_Regressor`\n", + "from rehline import plq_Ridge_Regressor\n", + "\n", + "clf = plq_Ridge_Regressor(loss={'name': 'mse'}, C=1.0)\n", + "clf.fit(X=X, y=y)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 433 + }, + "id": "EPp4wl_8GNA7", + "outputId": "1193f1d0-5b02-4aeb-ab03-d20bf277d7b4" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "## plot MSE results\n", + "warnings.filterwarnings(\"ignore\", \"is_categorical_dtype\")\n", + "\n", + "n_sample = 200\n", + "X_sample, y_sample = X[:n_sample], y[:n_sample]\n", + "mse_sample = clf.predict(X_sample)\n", + "\n", + "df = pd.DataFrame({'x0': X_sample[:,0], 'real_y': y_sample, 'mse': mse_sample})\n", + "df = df.melt(id_vars='x0')\n", + "\n", + "sns.scatterplot(data=df, x='x0', y='value', hue='variable')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "E8DWsUeJdvs6" + }, + "source": [ + "## With Pipeline\n", + "`plq_Ridge_Regressor` can be integrated into a scikit-learn Pipeline to streamline preprocessing including scaling." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "id": "Vb4eJISeAU5O" + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "import seaborn as sns\n", + "import warnings\n", + "from sklearn.datasets import make_regression" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "id": "Uy9loVbWCw8A" + }, + "outputs": [], + "source": [ + "# Simulate data\n", + "np.random.seed(42)\n", + "\n", + "n, d = 10000, 5\n", + "X, y = make_regression(n_samples=n, n_features=d, noise=5.0)\n", + "y = y / y.std()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 155 + }, + "id": "3oUouDgWC3ao", + "outputId": "d220bcb9-f95f-494a-a487-52bf267f51e7" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
Pipeline(steps=[('scaler', StandardScaler()),\n",
+              "                ('reg', plq_Ridge_Regressor(loss={'name': 'mse'}))])
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" + ], + "text/plain": [ + "Pipeline(steps=[('scaler', StandardScaler()),\n", + " ('reg', plq_Ridge_Regressor(loss={'name': 'mse'}))])" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "## solve MSE Regression via `plq_Ridge_Regressor`\n", + "from sklearn.pipeline import Pipeline\n", + "from sklearn.preprocessing import StandardScaler\n", + "from rehline import plq_Ridge_Regressor\n", + "\n", + "pipe = Pipeline([\n", + " ('scaler', StandardScaler()),\n", + " ('reg', plq_Ridge_Regressor(loss={'name': 'mse'}, C=1.0))\n", + "])\n", + "pipe.fit(X, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 433 + }, + "id": "JjNnypf6DI9L", + "outputId": "d1bc822b-46a8-4842-d035-12dd10e75274" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "## plot MSE results\n", + "warnings.filterwarnings(\"ignore\", \"is_categorical_dtype\")\n", + "\n", + "n_sample = 200\n", + "X_sample, y_sample = X[:n_sample], y[:n_sample]\n", + "mse_sample = pipe.predict(X_sample)\n", + "\n", + "df = pd.DataFrame({'x0': X_sample[:,0], 'real_y': y_sample, 'mse': mse_sample})\n", + "df = df.melt(id_vars='x0')\n", + "\n", + "sns.scatterplot(data=df, x='x0', y='value', hue='variable')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "kq2Ko61cdz2R" + }, + "source": [ + "## Hyperparameter Tuning with GridSearchCV\n", + "\n", + "Due to its compatibility with the scikit-learn API, `GridSearchCV` can be applied to determine the optimal hyperparameters for the ReHLine model." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "S3oYy6JOd3j5", + "outputId": "8468d1b4-5716-4d0e-8b11-109cf3929242" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best params:{'reg__C': 1.0}\n", + "Best CV Score: 0.0014\n" + ] + } + ], + "source": [ + "from sklearn.model_selection import GridSearchCV\n", + "from sklearn.metrics import make_scorer, mean_squared_error\n", + "import warnings\n", + "warnings.filterwarnings(\"ignore\")\n", + "\n", + "# Define the parameter grid to search\n", + "param_grid = {'reg__C': [0.1, 1.0, 10.0]}\n", + "\n", + "# Use mse to evaluate the performances\n", + "mse_scorer = make_scorer(mean_squared_error, greater_is_better=False)\n", + "\n", + "# Create the GridSearchCV objects\n", + "grid_mse = GridSearchCV(pipe, param_grid, cv=5, scoring=mse_scorer)\n", + "\n", + "grid_mse.fit(X,y)\n", + "\n", + "# Print the best parameters and scores\n", + "print(f\"Best params:{grid_mse.best_params_}\")\n", + "print(f\"Best CV Score: {-grid_mse.best_score_:.4f}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 455 + }, + "id": "obGMZc_yeB6N", + "outputId": "11dfbc45-0774-4ef3-957e-cde7ece033a1" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "## plot MSE results\n", + "n_sample = 200\n", + "X_sample, y_sample = X[:n_sample], y[:n_sample]\n", + "mae_sample = grid_mse.predict(X_sample)\n", + "\n", + "df = pd.DataFrame({'x0': X_sample[:, 0], 'real_y': y_sample, 'mse': mse_sample})\n", + "df = df.melt(id_vars='x0')\n", + "\n", + "sns.scatterplot(data=df, x='x0', y='value', hue='variable').set_title(\"MSE(C=1.0)\")\n", + "plt.show()" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "name": "python" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/doc/source/examples/MonotonicSVM.ipynb b/doc/source/examples/MonotonicSVM.ipynb index ee005f1..1e7f3d8 100644 --- a/doc/source/examples/MonotonicSVM.ipynb +++ b/doc/source/examples/MonotonicSVM.ipynb @@ -10,9 +10,8 @@ "The Monotonic SVM solves the following optimization problem:\n", "\n", "$$\n", - " \\min_{\\mathbf{\\beta} \\in \\mathbb{R}^d} \\frac{C}{n} \\sum_{i=1}^n (1 - y_i \\mathbf{\\beta}^\\intercal \\mathbf{x}_i)_+ + \\frac{1}{2} \\|\\mathbf{\\beta}\\|_2^2,\n", + " \\min_{\\mathbf{\\beta} \\in \\mathbb{R}^d} C\\sum_{i=1}^n (1 - y_i \\mathbf{\\beta}^\\intercal \\mathbf{x}_i)_+ + \\frac{1}{2} \\|\\mathbf{\\beta}\\|_2^2,\n", "$$\n", - "\n", "$$\n", " \\text{subject to} \\quad \\beta_j \\le \\beta_{j+1} \\quad \\forall j \\in \\{1, \\dots, d-1\\} \\quad (\\text{Increasing})\n", "$$\n", @@ -75,11 +74,445 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": { - "id": "Uk31Pe_cg702" + "colab": { + "base_uri": "https://localhost:8080/", + "height": 80 + }, + "id": "Uk31Pe_cg702", + "outputId": "9e177265-dad9-4780-e074-700f022680e7" }, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "
plq_Ridge_Classifier(C=0.001, loss={'name': 'svm'}, max_iter=10000)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" + ], + "text/plain": [ + "plq_Ridge_Classifier(C=0.001, loss={'name': 'svm'}, max_iter=10000)" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "## we first run a SVM\n", "from rehline import plq_Ridge_Classifier\n", @@ -99,11 +532,451 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": { - "id": "APrF6OYJl1_t" + "colab": { + "base_uri": "https://localhost:8080/", + "height": 114 + }, + "id": "APrF6OYJl1_t", + "outputId": "0afd698a-564b-45c0-e81f-ca36b5f01f0e" }, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "
plq_Ridge_Classifier(C=0.001,\n",
+              "                     constraint=[{'decreasing': True, 'name': 'monotonic'}],\n",
+              "                     loss={'name': 'svm'}, max_iter=10000)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
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" + ], + "text/plain": [ + "plq_Ridge_Classifier(C=0.001,\n", + " constraint=[{'decreasing': True, 'name': 'monotonic'}],\n", + " loss={'name': 'svm'}, max_iter=10000)" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "## solve SVM with Monotonicity Constraint via `plq_Ridge_Classifier`\n", "from rehline import plq_Ridge_Classifier\n", @@ -137,8 +1010,8 @@ }, "outputs": [ { - "output_type": "stream", "name": "stdout", + "output_type": "stream", "text": [ " Model Performance\n", " Standard SVM 0.8870\n", @@ -179,18 +1052,18 @@ }, "outputs": [ { - "output_type": "display_data", "data": { + "image/png": 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+ ] }, - "metadata": {} + "metadata": {}, + "output_type": "display_data" }, { - "output_type": "stream", "name": "stdout", + "output_type": "stream", "text": [ "\n", "Coefficients (monotonic decreasing):\n", @@ -244,24 +1117,24 @@ }, "outputs": [ { - "output_type": "display_data", "data": { + "image/png": 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", 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lZWWpUaNGunr1qluOFxwcrMOHD99V4Hnvvfe0aNEi7d27V7m5ufr666/VokUL5zVZAsIOAAA+6MKFC7p69aqWvDpPDe6916XHyjh2TGMm/E4XLly4q7BTUFCgjh07atCgQRo7dqwTOywdYQcAAB/W4N571bLZ/Z5u42cZPny4JPc/nZkJygAAwNQIOwAAwNQIOwAAwOlWrFihKlWq2D6ffvqpx3rxaNhZuHChmjVrppCQEIWEhCg+Pl4fffSRrX7t2jUlJyerevXqqlKlipKSknTu3Dm7fWRlZal3794KDg5WZGSkJk+erBs3brh7KAAA4D88/PDD2rdvn+3TunVrj/Xi0QnKtWrV0p///Gfde++9MgxDb775pvr27auvv/5aTZo00ZNPPqkPPvhAq1atUmhoqCZMmKD+/fvr888/lyRZrVb17t1b0dHR2rlzp86ePasRI0YoICBAL774oieHBgBAuVa1alVVrVrV021I8nDY6dOnj93yCy+8oIULF2r37t2qVauWlixZovT0dHXt2lWSlJaWpkaNGmn37t1q3769Nm7cqEOHDmnz5s2KiopSixYt9Pzzz+uZZ57R9OnTFRgY6IlhAYBHHD12VO3bxjusRURGaN36tW7uCLCXm5urrKwsnTlzRpKUkZEhSYqOjlZ0dLTLjus1t55brVatWrVKBQUFio+P1969e1VUVKSEhATbNg0bNlRsbKx27dql9u3ba9euXbr//vsVFRVl26Z79+4aP368Dh48qJYtWzo8VmFhoQoLC23L+fn5rhsYANyBPg89rPM550usHzt+rMSa9YZVI4aMc1hb9vbrd90bvFPGsZL/m/C2Y6xdu1ajRo2yLQ8ePFiSNG3aNE2fPt0px3DE42Hn22+/VXx8vK5du6YqVapo9erVaty4sfbt26fAwECFhYXZbR8VFaXs7GxJUnZ2tl3QuVm/WSvJ7NmzNWPGDOcOBACc4HzO+RIDiySlTn3Sjd3Am9WoUUPBwcEaM+F3bjlecHCwatSocVf7eOyxx/TYY485p6E74PGw06BBA+3bt0+XLl3Su+++q5EjR2r79u0uPWZqaqpSUlJsy/n5+apdu7ZLjwkAgDPFxsbq8OHDvBvrZ/B42AkMDNQ999wjSWrVqpW+/PJL/f3vf9f//M//6Pr168rLy7M7u3Pu3Dnbdb3o6Gh98cUXdvu7ebdWadf+goKCFBQU5OSRAADgXrGxsT4bQNzJ42HnvxUXF6uwsFCtWrVSQECAtmzZoqSkJEk/TWTKyspSfPxPE/Di4+P1wgsvKCcnR5GRkZKkTZs2KSQkRI0bN/bYGAB4l4EDBijvYq7DWli1cK169103dwTAnTwadlJTU9WzZ0/Fxsbq8uXLSk9P17Zt2/Txxx8rNDRUY8aMUUpKisLDwxUSEqKJEycqPj5e7du3lyQlJiaqcePGGj58uF566SVlZ2frueeeU3JyMmduANjkXczVmhXLHdb6Dhvu5m4AuJtHw05OTo5GjBihs2fPKjQ0VM2aNdPHH3+sX//615KkOXPmyM/PT0lJSSosLFT37t312muv2b7v7++v9evXa/z48YqPj1flypU1cuRIzZw501NDAoDbKu2Oq9LutgJQNh4NO0uWLCm1XrFiRS1YsEALFiwocZu4uDh9+OGHzm4NgAeUl8tNpd1xxd1WgPN53ZwdAOUXl5sAuAJhB4BTlXZ2RjLXGRoAvoGwA8CpSjs7I3GGBoD7EXYAAPBRWVlZPFTwZyDsAPAJGRlH9etuXR3WuDSG8igrK0sNGzbUjz/+6JbjVapUSUeOHLmjwLNjxw799a9/1d69e3X27FmtXr1a/fr1c12TJSDsAPARBpOXgf9w4cIF/fjjjxo5bKyio2Jceqzsc2f05op/6MKFC3cUdgoKCtS8eXONHj1a/fv3d2GHpSPsAADgw6KjYhRbK87TbTjUs2dP9ezZ09NtEHYA+L7SLnFJUmZmphu7AeBtCDsATKDkS1yS1LB1Wzf2AsDb+Hm6AQAAAFci7AAAAFPjMhYAuAAv+wS8B2EHAFyAl30C0pUrV3T8+HHb8okTJ7Rv3z6Fh4e79QGFhB0AAHxY9rkzXnuMr776Sl26dLEtp6SkSJJGjhyppUuXOqO1n4WwAwCAD6pRo4YqVaqkN1f8wy3Hq1SpkmrUqHFH3+ncubMMw3BRRz8fYQcAAB8UGxurI0eO8G6sn4GwAwCAj4qNjfXZAOJO3HoOAABMjbADAABMjbADAIAP8IaJvp7gjHETdgAA8GIBAQGSpKtXr3q4E8+4Oe6bP4eyYIIyAABezN/fX2FhYcrJyZEkBQcHy2KxeLgr1zMMQ1evXlVOTo7CwsLk7+9f5n0RdgAA8HLR0dGSZAs85UlYWJht/GVF2AGAMijt3VcS77+Cc1ksFtWsWVORkZEqKirydDtuExAQcFdndG4i7ABAGZT27iuJ91/BNfz9/Z3yl395wwRlAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgajxUEEC5lpFxVL/u1tVhLaxauFa9+66bOwLgbIQdAOWcoTUrljus9B023M29AHAFLmMBAABTI+wAAABTI+wAAABTI+wAAABTI+wAAABTI+wAAABTI+wAAABTI+wAAABT82jYmT17ttq0aaOqVasqMjJS/fr1U0ZGht02nTt3lsVisfs88cQTdttkZWWpd+/eCg4OVmRkpCZPnqwbN264cygAAMBLefQJytu3b1dycrLatGmjGzdu6Nlnn1ViYqIOHTqkypUr27YbO3asZs6caVsODg62/dpqtap3796Kjo7Wzp07dfbsWY0YMUIBAQF68cUX3ToeALdX2usZMjMz3dwNgPLAo2Fnw4YNdstLly5VZGSk9u7dq06dOtnWBwcHKzo62uE+Nm7cqEOHDmnz5s2KiopSixYt9Pzzz+uZZ57R9OnTFRgY6NIxALhTJb+eoWHrtm7uBUB54FXvxrp06ZIkKTw83G79ihUr9NZbbyk6Olp9+vTRlClTbGd3du3apfvvv19RUVG27bt3767x48fr4MGDatmy5S3HKSwsVGFhoW05Pz/fFcMBTGvggAHKu5jrsMbZGQDexmvCTnFxsSZNmqQOHTqoadOmtvVDhw5VXFycYmJi9M033+iZZ55RRkaG3nvvPUlSdna2XdCRZFvOzs52eKzZs2drxowZLhoJYH55F3M5OwPAZ3hN2ElOTtaBAwf02Wef2a0fN26c7df333+/atasqW7duikzM1P169cv07FSU1OVkpJiW87Pz1ft2rXL1jgAAPBqXnHr+YQJE7R+/Xpt3bpVtWrVKnXbdu3aSZKOHz8uSYqOjta5c+fstrm5XNI8n6CgIIWEhNh9AACAOXk07BiGoQkTJmj16tX65JNPVLdu3dt+Z9++fZKkmjVrSpLi4+P17bffKicnx7bNpk2bFBISosaNG7ukbwAA4Ds8ehkrOTlZ6enpWrNmjapWrWqbYxMaGqpKlSopMzNT6enp6tWrl6pXr65vvvlGTz75pDp16qRmzZpJkhITE9W4cWMNHz5cL730krKzs/Xcc88pOTlZQUFBnhweAADwAh49s7Nw4UJdunRJnTt3Vs2aNW2fd955R5IUGBiozZs3KzExUQ0bNtRTTz2lpKQkrVu3zrYPf39/rV+/Xv7+/oqPj9ejjz6qESNG2D2XBwAAlF8ePbNjGEap9dq1a2v79u233U9cXJw+/PBDZ7UFAABMxCsmKAMAALgKYQcAAJgaYQcAAJgaYQcAAJia1zxBGQDgOkePHVX7tvEOaxGREVq3fq2bOwLch7ADAOWA9YZVI4aMc1hb9vbrbu4GcC8uYwEAAFMj7AAAAFMj7AAAAFMj7AAAAFMj7AAAAFPjbiwADg0cMEB5F3Md1jIzM93cDVyptNvSJW5Nh+8j7ABwKO9irtasWO6w1rB1Wzd3A1cq7bZ0iVvT4fu4jAUAAEyNsAMAAEyNy1gAUIKMjKP6dbeuDmtZ3590bzMAyoywAwAlMkqct3TfA23c3AuAsuIyFgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDUeKgjA9AoLC7Xkn0tKrAEwN8IOANMzDEPNm7YqsQbA3LiMBQAATI2wAwAATI2wAwAATI2wAwAATI0JygCAMuvz0MM6n3PeYS0iMkLr1q91c0fArQg7AIAyO59zXiOGjHNYW/b2627uBnCMy1gAAMDUCDsAAMDUCDsAAMDUCDsAAMDUmKAMAGVw9cerWrxkbol1Q1b3NQOgVIQdAOVacbFR4ktCf7z6Y4k1P4uf5s96scT9PjLqUaf0B+DuEXYAlHOlvCS0lJrEC0QBX8GcHQAAYGqEHQAAYGqEHQAAYGoeDTuzZ89WmzZtVLVqVUVGRqpfv37KyMiw2+batWtKTk5W9erVVaVKFSUlJencuXN222RlZal3794KDg5WZGSkJk+erBs3brhzKAAAwEt5NOxs375dycnJ2r17tzZt2qSioiIlJiaqoKDAts2TTz6pdevWadWqVdq+fbvOnDmj/v372+pWq1W9e/fW9evXtXPnTr355ptaunSppk6d6okhAQAAL+PRu7E2bNhgt7x06VJFRkZq79696tSpky5duqQlS5YoPT1dXbt2lSSlpaWpUaNG2r17t9q3b6+NGzfq0KFD2rx5s6KiotSiRQs9//zzeuaZZzR9+nQFBgZ6YmgAAMBLeNWcnUuXLkmSwsPDJUl79+5VUVGREhISbNs0bNhQsbGx2rVrlyRp165duv/++xUVFWXbpnv37srPz9fBgwcdHqewsFD5+fl2HwAAYE5eE3aKi4s1adIkdejQQU2bNpUkZWdnKzAwUGFhYXbbRkVFKTs727bNfwadm/WbNUdmz56t0NBQ26d27dpOHg0AAPAWXhN2kpOTdeDAAa1cudLlx0pNTdWlS5dsn++//97lxwQAAJ7hFU9QnjBhgtavX68dO3aoVq1atvXR0dG6fv268vLy7M7unDt3TtHR0bZtvvjiC7v93bxb6+Y2/y0oKEhBQUFOHgXgWwYOGKC8i7kl1jMzM93YDQC4jkfDjmEYmjhxolavXq1t27apbt26dvVWrVopICBAW7ZsUVJSkiQpIyNDWVlZio+PlyTFx8frhRdeUE5OjiIjIyVJmzZtUkhIiBo3buzeAQE+JO9irtasWF5ivWHrtm7sBgBcx6NhJzk5Wenp6VqzZo2qVq1qm2MTGhqqSpUqKTQ0VGPGjFFKSorCw8MVEhKiiRMnKj4+Xu3bt5ckJSYmqnHjxho+fLheeuklZWdn67nnnlNycjJnbwDACY4eO6r2beMd1o4dP+bmboA759Gws3DhQklS586d7danpaXpsccekyTNmTNHfn5+SkpKUmFhobp3767XXnvNtq2/v7/Wr1+v8ePHKz4+XpUrV9bIkSM1c+ZMdw0DAEzNesOqEUPGOaylTn3Szd0Ad87jl7Fup2LFilqwYIEWLFhQ4jZxcXH68MMPndkaAAAwCa+5GwsAAMAVCDsAAMDUCDsAAMDUCDsAAMDUCDsAAMDUCDsAAMDUCDsAAMDUyhR26tWrpx9++OGW9Xl5eapXr95dNwUAAOAsZQo7J0+elNVqvWV9YWGhTp8+fddNAQAAOMsdPUF57dq1tl9//PHHCg0NtS1brVZt2bJFderUcVpzAADfVdo7tSIiI7Ru/VqHNcDZ7ijs9OvXT5JksVg0cuRIu1pAQIDq1Kmjv/3tb05rDgDgu0p7p9ayt193czcoz+4o7BQXF0uS6tatqy+//FI1atRwSVMAAADOUqYXgZ44ccLZfQAAALhEmd96vmXLFm3ZskU5OTm2Mz43vfHGG3fdGAAAgDOUKezMmDFDM2fOVOvWrVWzZk1ZLBZn9wUAAOAUZQo7ixYt0tKlSzV8+HBn9wMAAOBUZQo7169f14MPPujsXgCgXDBk1eIlc0usAXCuMoWd3/zmN0pPT9eUKVOc3Q8AmF5AhQqaP+tFh7VHRj3q5m4A8ytT2Ll27Zpef/11bd68Wc2aNVNAQIBd/ZVXXnFKcwDwcxQWFmrJP5eUWC8uNtzYDQBvU6aw880336hFixaSpAMHDtjVmKwMwN0Mw1Dzpq1K28JtvQDwPmUKO1u3bnV2HwAAAC5RpheBAgAA+Ioyndnp0qVLqZerPvnkkzI3BAAA4ExlCjs35+vcVFRUpH379unAgQO3vCAUAADAk8oUdubMmeNw/fTp03XlypW7aggAAMCZnDpn59FHH+W9WAAAwKs4Nezs2rVLFStWdOYuAQAA7kqZLmP179/fbtkwDJ09e1ZfffUVT1UGAABepUxhJzQ01G7Zz89PDRo00MyZM5WYmOiUxgAAAJyhTGEnLS3N2X0AAAC4RJnCzk179+7V4cOHJUlNmjRRy5YtndIUAPg6q7XkN5sDcK8yhZ2cnBwNHjxY27ZtU1hYmCQpLy9PXbp00cqVKxUREeHMHgHA51So4F/im837j+bN5oA7lelurIkTJ+ry5cs6ePCgcnNzlZubqwMHDig/P1+/+93vnN0jAABAmZXpzM6GDRu0efNmNWrUyLaucePGWrBgAROUAQCAVynTmZ3i4mIFBATcsj4gIEDFxcV33RQAAICzlCnsdO3aVb///e915swZ27rTp0/rySefVLdu3ZzWHAAAwN0qU9h59dVXlZ+frzp16qh+/fqqX7++6tatq/z8fM2fP9/ZPQIAAJRZmebs1K5dW//+97+1efNmHTlyRJLUqFEjJSQkOLU5AACAu3VHZ3Y++eQTNW7cWPn5+bJYLPr1r3+tiRMnauLEiWrTpo2aNGmiTz/91FW9AgAA3LE7OrMzd+5cjR07ViEhIbfUQkND9fjjj+uVV17RL3/5S6c1CKDsBg4YoLyLuQ5rmZmZbu4GADzjjsLO/v379Ze//KXEemJiol5++eW7bgqAc+RdzNWaFcsd1hq2buvmbgDAM+7oMta5c+cc3nJ+U4UKFXT+/Pm7bgoAAMBZ7ijs/OIXv9CBAwdKrH/zzTeqWbPmXTcFAADgLHcUdnr16qUpU6bo2rVrt9R+/PFHTZs2TQ899NDP3t+OHTvUp08fxcTEyGKx6P3337erP/bYY7JYLHafHj162G2Tm5urYcOGKSQkRGFhYRozZoyuXLlyJ8MCAAAmdkdzdp577jm99957uu+++zRhwgQ1aNBAknTkyBEtWLBAVqtVf/rTn372/goKCtS8eXONHj1a/fv3d7hNjx49lJaWZlsOCgqyqw8bNkxnz57Vpk2bVFRUpFGjRmncuHFKT0+/k6EBAACTuqOwExUVpZ07d2r8+PFKTU2VYRiSJIvFou7du2vBggWKior62fvr2bOnevbsWeo2QUFBio6Odlg7fPiwNmzYoC+//FKtW7eWJM2fP1+9evXSyy+/rJiYmJ/dCwAAMKc7fqhgXFycPvzwQ128eFHHjx+XYRi69957Va1aNVf0p23btikyMlLVqlVT165dNWvWLFWvXl2StGvXLoWFhdmCjiQlJCTIz89Pe/bs0SOPPOJwn4WFhSosLLQt5+fnu6R3AADgeWV6grIkVatWTW3atHFmL7fo0aOH+vfvr7p16yozM1PPPvusevbsqV27dsnf31/Z2dmKjIy0+06FChUUHh6u7OzsEvc7e/ZszZgxw6W9A3CuwsJCLfnnEoe14mLDzd0A8CVlDjvuMHjwYNuv77//fjVr1kz169fXtm3b7uqFo6mpqUpJSbEt5+fnq3bt2nfVKwDXMgxDzZu2Kqnq1l4A+BavDjv/rV69eqpRo4aOHz+ubt26KTo6Wjk5OXbb3LhxQ7m5uSXO85F+mgf03xOdAV/FU5IBoHQ+FXZOnTqlH374wfYsn/j4eOXl5Wnv3r1q1eqnf/F98sknKi4uVrt27TzZKuA2PCUZAErn0bBz5coVHT9+3LZ84sQJ7du3T+Hh4QoPD9eMGTOUlJSk6OhoZWZm6umnn9Y999yj7t27S/rpTes9evTQ2LFjtWjRIhUVFWnChAkaPHgwd2IBAABJd/hQQWf76quv1LJlS7Vs2VKSlJKSopYtW2rq1Kny9/fXN998o4cfflj33XefxowZo1atWunTTz+1uwS1YsUKNWzYUN26dVOvXr3UsWNHvf76654aEgAA8DIePbPTuXNn27N6HPn4449vu4/w8HAeIAjANKxWqxYvmVti3ZDVfc0AJuFTc3YAwOwqVPDX/Fkvllh/ZNSjbuzGdY4eO6r2beNLrEdERmjd+rVu7AhmRtgBALid9YZVI4aMK7G+7G2mI8B5PDpnBwAAwNUIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQqeLoBALc3cMAA5V3MdVjLzMx0czcA4FsIO4APyLuYqzUrljusNWzd1s3dAIBv4TIWAAAwNc7sAPAahYWFWvLPJQ5rxcWGm7sBYBaEHQBewzAMNW/aqqSqW3sBYB5cxgIAAKZG2AEAAKbGZSwAgNc5euyo2reNd1iLiIzQuvVr3dwRfBlhBwDgdaw3rBoxZJzD2rK3X3dzN/B1XMYCAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmxlvPAcAkDFm1eMncEmtAeUXYAQCTCKhQQfNnveiw9sioR93cDeA9uIwFAABMjbADAABMjbADAABMzaNhZ8eOHerTp49iYmJksVj0/vvv29UNw9DUqVNVs2ZNVapUSQkJCTp27JjdNrm5uRo2bJhCQkIUFhamMWPG6MqVK24cBQAA8GYenaBcUFCg5s2ba/To0erfv/8t9Zdeeknz5s3Tm2++qbp162rKlCnq3r27Dh06pIoVK0qShg0bprNnz2rTpk0qKirSqFGjNG7cOKWnp7t7OADgclZryXdcAXDMo2GnZ8+e6tmzp8OaYRiaO3eunnvuOfXt21eStGzZMkVFRen999/X4MGDdfjwYW3YsEFffvmlWrduLUmaP3++evXqpZdfflkxMTFuGwsAuEOFCv4l3nHVfzR3XAGOeO2cnRMnTig7O1sJCQm2daGhoWrXrp127dolSdq1a5fCwsJsQUeSEhIS5Ofnpz179pS478LCQuXn59t9AACAOXlt2MnOzpYkRUVF2a2Pioqy1bKzsxUZGWlXr1ChgsLDw23bODJ79myFhobaPrVr13Zy9wAAwFuUy4cKpqamKiUlxbacn59P4IFHDRwwQHkXc0usZ2ZmurEbADAXrw070dHRkqRz586pZs2atvXnzp1TixYtbNvk5OTYfe/GjRvKzc21fd+RoKAgBQUFOb9poIzyLuZqzYrlJdYbtm7rxm4AwFy89jJW3bp1FR0drS1bttjW5efna8+ePYqPj5ckxcfHKy8vT3v37rVt88knn6i4uFjt2rVze88AAMD7ePTMzpUrV3T8+HHb8okTJ7Rv3z6Fh4crNjZWkyZN0qxZs3Tvvffabj2PiYlRv379JEmNGjVSjx49NHbsWC1atEhFRUWaMGGCBg8ezJ1Y8DqlXariMhUAuI5Hw85XX32lLl262JZvzqMZOXKkli5dqqeffloFBQUaN26c8vLy1LFjR23YsMH2jB1JWrFihSZMmKBu3brJz89PSUlJmjdvntvHAtxOaZequEwFAK7j0bDTuXNnGYZRYt1isWjmzJmaOXNmiduEh4fzAEEAAFAir52gDACAI0ePHVX7tvEOaxGREVq3fq2bO4K3I+wAAHyK9YZVI4aMc1hb9vbrbu4GvsBr78YCAABwBsIOAAAwNcIOAAAwNcIOAAAwNSYoAwBMo7Q7tSTu1iqvCDsAANMo7U4tibu1yisuYwEAAFMj7AAAAFMj7AAAAFMj7AAAAFMj7AAAAFMj7AAAAFPj1nMAblVYWKgl/1zisFZcbLi5GwDlAWEHgFsZhqHmTVuVVHVrLwDKBy5jAQAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAU+M5O4ATDRwwQHkXcx3WMjMz3dwNAEAi7ABOlXcxV2tWLHdYa9i6rZu7AQBIhB0AKBesVqsWL5nrsGbI6t5mADcj7ABwqtLefSXx/itPqVDBX/Nnveiw9sioR93cDeBehB0ATlX6u68k3n8FwN0IOwDuGG8uh686euyo2reNd1iLiIzQuvVr3dwR3IGwA+CO8eZy+CrrDatGDBnnsLbs7dfd3A3chefsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAU+NFoMAdGjhggPIu5jqsZWZmurkbAMDteHXYmT59umbMmGG3rkGDBjpy5Igk6dq1a3rqqae0cuVKFRYWqnv37nrttdcUFRXliXZRTuRdzNWaFcsd1hq2buvmbgAAt+P1l7GaNGmis2fP2j6fffaZrfbkk09q3bp1WrVqlbZv364zZ86of//+HuwWAAB4G68+syNJFSpUUHR09C3rL126pCVLlig9PV1du3aVJKWlpalRo0bavXu32rdv7+5WAcCUDFm1eMncEmuAt/P6sHPs2DHFxMSoYsWKio+P1+zZsxUbG6u9e/eqqKhICQkJtm0bNmyo2NhY7dq1i7AD3EZhYaGW/HNJqXVAkgIqVND8WS86rD0y6lE3dwPcOa8OO+3atdPSpUvVoEEDnT17VjNmzNAvf/lLHThwQNnZ2QoMDFRYWJjdd6KiopSdnV3qfgsLC+3+IM/Pz3dF+4BXMwxDzZu2KrUOAGbg1WGnZ8+etl83a9ZM7dq1U1xcnP71r3+pUqVKZd7v7Nmzb5n4DAAAzMnrJyj/p7CwMN133306fvy4oqOjdf36deXl5dltc+7cOYdzfP5TamqqLl26ZPt8//33LuwaAAB4klef2flvV65cUWZmpoYPH65WrVopICBAW7ZsUVJSkiQpIyNDWVlZio+PL3U/QUFBCgoKckfL8EGlPUdH4lk6AOBrvDrs/OEPf1CfPn0UFxenM2fOaNq0afL399eQIUMUGhqqMWPGKCUlReHh4QoJCdHEiRMVHx/P5GTcldKeoyPxLB0A8DVeHXZOnTqlIUOG6IcfflBERIQ6duyo3bt3KyIiQpI0Z84c+fn5KSkpye6hggDuXnGxUeLdWsXFTF4G4Du8OuysXLmy1HrFihW1YMECLViwwE0dAeVJaXdrEXYA+A6fmqAMAABwpwg7AADA1Ag7AADA1Ag7AADA1Lx6gjIAwPWs1pJf9AmYAWEHAMq5ChX8S3zRpyT1H83LPuHbuIwFAABMjbADAABMjctYMK3S3nEVVi1cq959180dAQA8gbAD0yrtHVd9hw13czcAvN3RY0fVvq3jF0lHREZo3fq1bu4IzkLYAQBAkvWGVSOGjHNYW/b2627uBs5E2EG5lJFxVL/u1tVhLTMz083dAABcibCDcsoo8RJXw9Zt3dwLAG/HJS7fRtgBAOA2uMTl2wg7AACXMFTyk5kNWd3bDMo1wg4AwCUCKlQo8cnMj4ziqcxwHx4qCAAATI2wAwAATI3LWACAMuON6fAFhB0AQJmV9sZ03pYOb8FlLAAAYGqc2YHPKu1FnxJPQgYA/ISwA59V2os+JZ6ELEmFhYVa8s8lDmvFxYabuwEAzyDsACZmGIaaN21VUtWtvQCApzBnBwAAmBphBwAAmBphBwAAmBpzdgAAuAtHjx1V+7bxJda/y/pOcbFxDmsRkRFat36tq1rD/4+wAwDAXbDesGrEkHEl1lOnPllifdnbr7uqLfwHwg7g47i9HABKR9gBfBy3lwNA6Qg78GqlPSW5PD0hmbM3MJvbvUDUkNV9zcD0CDvwaqU9Jbk8PSGZszcwm9JeICpJj4ziJaJwHm49BwAApkbYAQAApkbYAQAApkbYAQAApsYEZcALlHa3lcQdV0B51Oehh3U+57zDGk9evjOEHbhFabeQh1UL16p333VzR96l9LutJO64Asqf8znnefKykxB24Bal3ULed9hwN3fjGTwrB/j5SnsOD8/gwZ0i7ABuwrNygJ+vtOfw8Awe3CnCDuBEnL0BvJsh7zpjVNob048dP+bmbsyLsAOPy8g4ql936+qw5muvhODsDeDdAipU8KozRqW9MT116pMlfq+0kCQxgfm/mSbsLFiwQH/961+VnZ2t5s2ba/78+Wrbtvy8TsC3GbwSAoBTlHbmxlPHdMUZo9JCklT6BObyeJeXKcLOO++8o5SUFC1atEjt2rXT3Llz1b17d2VkZCgyMtLT7ZULpd1tJfneGRoA3qu0yculnbmRpP6jy3b2prRAc7tjeuKM0e0ujz0/5a8Oa8/N/EOZzxh5c4gyRdh55ZVXNHbsWI0aNUqStGjRIn3wwQd644039Mc//tHD3ZUPpd1tJXGGBoDzlDZ5uaxh5nZKCzSuOubdKOvlsbs5Y+TNt8r7fNi5fv269u7dq9TUVNs6Pz8/JSQkaNeuXR7szDeVl+fhlDaRuLCwsMzfZRIyAHgfnw87Fy5ckNVqVVRUlN36qKgoHTlyxOF3CgsL7f5Cu3TpkiQpPz/f6f2NGD5cl/IuOqyFhlXTsuUlnw3xhAvnc/T2Px0n8CG/GVfiz+jGjRvKv3y5xP0WFxeXWC9r7ccff9Srry4o8ZgFBVdLrBfdsOqeeo0c1qzWko95s17Sd4uNYhVcvVpCzShT7W6+623HdNV+y8sxXbXf8nLM29Vv3Lih117/m8OacRfHNAxDP1770W21n3oqeSzFxo0y7zfjaIZat2rjsPa//5tZ4ndvWG+45O/Ym/s0jNv8Q9PwcadPnzYkGTt37rRbP3nyZKNt27YOvzNt2jRDP90aw4cPHz58+PDx8c/3339falbw+TM7NWrUkL+/v86dO2e3/ty5c4qOjnb4ndTUVKWkpNiWi4uLlZubq+rVq8tisTitt/z8fNWuXVvff/+9QkJCnLZfb1bexlzexisx5vIw5vI2Xokx++qYDcPQ5cuXFRMTU+p2Ph92AgMD1apVK23ZskX9+vWT9FN42bJliyZMmODwO0FBQQoKCrJbFxYW5rIeQ0JCfPY/pLIqb2Mub+OVGHN5UN7GKzFmXxQaGnrbbXw+7EhSSkqKRo4cqdatW6tt27aaO3euCgoKbHdnAQCA8ssUYed//ud/dP78eU2dOlXZ2dlq0aKFNmzYcMukZQAAUP6YIuxI0oQJE0q8bOUpQUFBmjZt2i2XzMysvI25vI1XYszlQXkbr8SYzc5iGLe7XwsAAMB3+Xm6AQAAAFci7AAAAFMj7AAAAFMj7AAAAFMj7LhZYWGhWrRoIYvFon379nm6HZd6+OGHFRsbq4oVK6pmzZoaPny4zpw54+m2XObkyZMaM2aM6tatq0qVKql+/fqaNm2arl+/7unWXOaFF17Qgw8+qODgYJc+mNOTFixYoDp16qhixYpq166dvvjiC0+35DI7duxQnz59FBMTI4vFovfff9/TLbnc7Nmz1aZNG1WtWlWRkZHq16+fMjIyPN2WyyxcuFDNmjWzPUgwPj5eH330kafbcjnCjps9/fTTt32stVl06dJF//rXv5SRkaH/9//+nzIzMzVgwABPt+UyR44cUXFxsRYvXqyDBw9qzpw5WrRokZ599llPt+Yy169f18CBAzV+/HhPt+IS77zzjlJSUjRt2jT9+9//VvPmzdW9e3fl5OR4ujWXKCgoUPPmzbVgQckv2DWb7du3Kzk5Wbt379amTZtUVFSkxMREFRQUeLo1l6hVq5b+/Oc/a+/evfrqq6/UtWtX9e3bVwcPHvR0a67lnNdx4uf48MMPjYYNGxoHDx40JBlff/21p1tyqzVr1hgWi8W4fv26p1txm5deesmoW7eup9twubS0NCM0NNTTbThd27ZtjeTkZNuy1Wo1YmJijNmzZ3uwK/eQZKxevdrTbbhdTk6OIcnYvn27p1txm2rVqhn//Oc/Pd2GS3Fmx03OnTunsWPHavny5QoODvZ0O26Xm5urFStW6MEHH1RAQICn23GbS5cuKTw83NNtoAyuX7+uvXv3KiEhwbbOz89PCQkJ2rVrlwc7gytdunRJksrF/7dWq1UrV65UQUGB4uPjPd2OSxF23MAwDD322GN64okn1Lp1a0+341bPPPOMKleurOrVqysrK0tr1qzxdEtuc/z4cc2fP1+PP/64p1tBGVy4cEFWq/WW185ERUUpOzvbQ13BlYqLizVp0iR16NBBTZs29XQ7LvPtt9+qSpUqCgoK0hNPPKHVq1ercePGnm7LpQg7d+GPf/yjLBZLqZ8jR45o/vz5unz5slJTUz3d8l37uWO+afLkyfr666+1ceNG+fv7a8SIETJ87KHddzpmSTp9+rR69OihgQMHauzYsR7qvGzKMl7ADJKTk3XgwAGtXLnS0624VIMGDbRv3z7t2bNH48eP18iRI3Xo0CFPt+VSvC7iLpw/f14//PBDqdvUq1dPgwYN0rp162SxWGzrrVar/P39NWzYML355puubtVpfu6YAwMDb1l/6tQp1a5dWzt37vSpU6Z3OuYzZ86oc+fOat++vZYuXSo/P9/6N0VZfo+XLl2qSZMmKS8vz8Xduc/169cVHBysd999V/369bOtHzlypPLy8kx/ltJisWj16tV2YzezCRMmaM2aNdqxY4fq1q3r6XbcKiEhQfXr19fixYs93YrLmOZFoJ4QERGhiIiI2243b948zZo1y7Z85swZde/eXe+8847atWvnyhad7ueO2ZHi4mJJP91+70vuZMynT59Wly5d1KpVK6Wlpflc0JHu7vfYTAIDA9WqVStt2bLF9hd+cXGxtmzZ4nUvHUbZGYahiRMnavXq1dq2bVu5CzrST/9d+9qfy3eKsOMGsbGxdstVqlSRJNWvX1+1atXyREsut2fPHn355Zfq2LGjqlWrpszMTE2ZMkX169f3qbM6d+L06dPq3Lmz4uLi9PLLL+v8+fO2WnR0tAc7c52srCzl5uYqKytLVqvV9uyoe+65x/bfuS9LSUnRyJEj1bp1a7Vt21Zz585VQUGBRo0a5enWXOLKlSs6fvy4bfnEiRPat2+fwsPDb/lzzCySk5OVnp6uNWvWqGrVqrb5WKGhoapUqZKHu3O+1NRU9ezZU7Gxsbp8+bLS09O1bds2ffzxx55uzbU8ei9YOXXixAnT33r+zTffGF26dDHCw8ONoKAgo06dOsYTTzxhnDp1ytOtuUxaWpohyeHHrEaOHOlwvFu3bvV0a04zf/58IzY21ggMDDTatm1r7N6929MtuczWrVsd/n6OHDnS0625TEn/z6alpXm6NZcYPXq0ERcXZwQGBhoRERFGt27djI0bN3q6LZdjzg4AADA135tQAAAAcAcIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwBwG0VFRZ5uAcBdIOwA8LjOnTtr4sSJmjRpkqpVq6aoqCj94x//sL10s2rVqrrnnnv00UcfSZIuXryoYcOGKSIiQpUqVdK9996rtLQ02/5OnTqlIUOGKDw8XJUrV1br1q21Z88eW33hwoWqX7++AgMD1aBBAy1fvtyuH4vFooULF+rhhx9W5cqV9cILL0iS1qxZowceeEAVK1ZUvXr1NGPGDN24ccMNPyEAd4OwA8ArvPnmm6pRo4a++OILTZw4UePHj9fAgQP14IMP6t///rcSExM1fPhwXb16VVOmTNGhQ4f00Ucf6fDhw1q4cKFq1Kgh6ac3d//qV7/S6dOntXbtWu3fv19PP/20iouLJUmrV6/W73//ez311FM6cOCAHn/8cY0aNUpbt26162f69Ol65JFH9O2332r06NH69NNPNWLECP3+97/XoUOHtHjxYi1dutQWhAB4L14ECsDjOnfuLKvVqk8//VSSZLVaFRoaqv79+2vZsmWSpOzsbNWsWVO7du3Siy++qBo1auiNN964ZV+vv/66/vCHP+jkyZMKDw+/pd6hQwc1adJEr7/+um3doEGDVFBQoA8++EDST2d2Jk2apDlz5ti2SUhIULdu3ZSammpb99Zbb+npp5/WmTNnnPODAOASnNkB4BWaNWtm+7W/v7+qV6+u+++/37YuKipKkpSTk6Px48dr5cqVatGihZ5++mnt3LnTtt2+ffvUsmVLh0FHkg4fPqwOHTrYrevQoYMOHz5st65169Z2y/v379fMmTNVpUoV22fs2LE6e/asrl69WrZBA3CLCp5uAAAkKSAgwG7ZYrHYrbNYLJKk4uJi9ezZU999950+/PBDbdq0Sd26dVNycrJefvllVapUySn9VK5c2W75ypUrmjFjhvr373/LthUrVnTKMQG4Bmd2APikiIgIjRw5Um+99Zbmzp1ruyzVrFkz7du3T7m5uQ6/16hRI33++ed26z7//HM1bty41OM98MADysjI0D333HPLx8+PP0oBb8aZHQA+Z+rUqWrVqpWaNGmiwsJCrV+/Xo0aNZIkDRkyRC+++KL69eun2bNnq2bNmvr6668VExOj+Ph4TZ48WYMGDVLLli2VkJCgdevW6b333tPmzZtve8yHHnpIsbGxGjBggPz8/LR//34dOHBAs2bNcsewAZQR/xwB4HMCAwOVmpqqZs2aqVOnTvL399fKlStttY0bNyoyMlK9evXS/fffrz//+c/y9/eXJPXr109///vf9fLLL6tJkyZavHix0tLS1Llz51KP2b17d61fv14bN25UmzZt1L59e82ZM0dxcXGuHi6Au8TdWAAAwNQ4swMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEzt/wP8DVxdkqR68wAAAABJRU5ErkJggg==", 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\n" + ] }, - "metadata": {} + "metadata": {}, + "output_type": "display_data" } ], "source": [ @@ -292,4 +1165,4 @@ }, "nbformat": 4, "nbformat_minor": 0 -} \ No newline at end of file +} diff --git a/doc/source/examples/QR_eps_new.ipynb b/doc/source/examples/QR_eps_new.ipynb new file mode 100644 index 0000000..d914855 --- /dev/null +++ b/doc/source/examples/QR_eps_new.ipynb @@ -0,0 +1,1783 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "GgZvzYp0_ltO" + }, + "source": [ + "# Quantile Regression with ε-tolerance\n", + "[![Slides](https://img.shields.io/badge/🦌-ReHLine-blueviolet)](https://rehline-python.readthedocs.io/en/latest/)\n", + "\n", + "Quantile Regression with ε-tolerance solves the following optimization problem:\n", + "\n", + "$$\n", + "\\min_{\\beta \\in \\mathbb{R}^d}\n", + "\\sum_{i=1}^n\n", + "\\left(\\rho_{\\kappa}\\!\\left(y_i - \\mathbf{x}_i^\\top \\beta\\right)-\\epsilon\\right)_+\n", + "+ \\frac{\\lambda}{2}\\|\\beta\\|^2\n", + "$$\n", + "\n", + "where\n", + "\n", + "- $\\rho_{\\kappa}(r)=r\\cdot\\big(\\kappa-\\mathbf{1}(r<0)\\big)$ is the check loss (quantile loss),\n", + "- $\\mathbf{x}_i\\in\\mathbb{R}^d$ is a feature vector,\n", + "- $y_i\\in\\mathbb{R}$ is a continuous response variable,\n", + "- $\\kappa\\in(0,1)$ is the quantile level,\n", + "- $\\epsilon\\ge 0$ is the tolerance parameter.\n", + "\n", + "> **Note.** Since the check loss is a plq function, we can optimize it using `rehline.plq_Ridge_Regressor`. \n", + "> Moreover, this wrapper adapts the `plqERM_Ridge` into a regressor, compatible with the scikit-learn API." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "OYf6ieCxG5Is" + }, + "outputs": [], + "source": [ + "## install rehline\n", + "%pip install rehline -q" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "54zIQq6-Bqm8" + }, + "outputs": [], + "source": [ + "# Simulate Data\n", + "import numpy as np\n", + "\n", + "np.random.seed(42)\n", + "n = 2000\n", + "x = np.random.randn(n)\n", + "noise = np.random.randn(n) * (0.3 + 0.5 * np.abs(x))\n", + "y = 2 * x + noise\n", + "X = x.reshape(-1, 1)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 97 + }, + "id": "LpdGRLz3CKFM", + "outputId": "1ebabd56-fe21-4cfc-9a09-109e5cf577e6" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
plq_Ridge_Regressor(C=0.005,\n",
+              "                    loss={'epsilon': 0.1, 'name': 'check_eps', 'qt': 0.9})
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
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" + ], + "text/plain": [ + "plq_Ridge_Regressor(C=0.005,\n", + " loss={'epsilon': 0.1, 'name': 'check_eps', 'qt': 0.9})" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from rehline import plq_Ridge_Regressor\n", + "\n", + "# Check Loss with epsilon-tolerance\n", + "clf = plq_Ridge_Regressor(loss={'name': 'check_eps', 'qt': 0.9, 'epsilon': 0.1}, C=10.0/n)\n", + "clf.fit(X=X, y=y)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 429 + }, + "id": "fdFQpu9gCOlT", + "outputId": "8803bcd5-b411-4a57-ad07-dce4ab446aa5" + }, + "outputs": [ + { + "data": { + "image/png": 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njCvg4v6G+1m0ehHz/zifP3z8h6gQMjt/Nv/v4v9H2w/beOibD3HetPNSKoSAjIikHE3TWLZsGUajkeeff56MjAz++7//myVLlvD5559js9kGr62pqeHf//3fB/+cljZ8WhZCCJE4IyndPnTnzFDeQPioO2c2tm2kvqGeR7c+ijPgjGqzGqxcPedqaqtq+dKUL6Vc8BhKgkgSuN1uvvOd7/DMM8+Qnp7OP/3TP/Hiiy+yYMEC/vEf/5EPP/yQbdu2MXv2bADuu+8+ioqKeOyxx7j11lsHXyctLY2ioqJkvQ0hhBDHMNLS7UfunLGbDVGhQdM02h0+5pZmUpplZcA/wGNbH6OuoY6G9oaYe84vnE9tdS3Xz72eTEtmIt/uSZlwQeSMujPocHUk/L5F9iI+qf1kRNf+6Ec/4t133+X555+noKCAn/zkJzQ0NLBgwQL8fj9A1Am3Op0Os9nM+++/HxVEHnnkER5++GGKioq4/PLL+dnPfiajIkIIkWSjLd2+dE4hbQ4vu7oiVVatJj3eQJh2h4/sNCMFefuoefFuHv/scTxBT9S9bEYb1829jpqqGs4oOSPlRz+OZsIFkQ5XB63O1mR345hcLhf3338/Dz/8MBdeeCEAa9euZcqUKQDMmjWLqVOnctddd/GnP/0Jm83G7373O/bv3097e/vg61x33XVMmzaNkpISPv30U/7lX/6FHTt28MwzzyTlfQkhhIgYTen2spw0KgvSufmc6YPTOJ0DPjTFwwH+wjttz3D31m0x9zij5Axqq2q5Zs41pJvH96F4Ey6IFNmTM1Ux0vvu3r2bQCDAokWLBj+Xk5PDqaeeCoDRaOSZZ55h1apV5OTkoNfrWbJkCZdccgmadniRU21t7eD/nzt3LsXFxVx44YXs3r2bGTNmjNG7EkIIMVqHS7cfvRCZ1aSnc8AXtQC1siCd8vNtPP/F26zbej+v7XkOXyj6jJkMcwbXz72emqoaFhYvjOt7SKQJF0RGOj2Syqqrq9m8eTMOh4NAIEB+fj6LFi3ijDPOOObXHAo2jY2NEkSEECKJRrsA9YDnAOu2rGP1ptV83v15zPVfnvJlaqpquGr2VdhMtpj28W7CBZFUN2PGDIxGIx999BFTp04FoK+vj507d3L++edHXZuZGVlstGvXLj755BN+9atfHfN1N2/eDEBxcXF8Oi6EEGJERrIAdU5JBrv6P+Jf3q7n6S+eJhAORL1GliWLFfNWUFNdw5yCOYl+CwklQSTB7HY7q1at4kc/+hG5ubkUFBTw05/+FJ3ucEmXP//5z+Tn5zN16lS2bt3K97//fZYtW8ZFF10ERKZ3Hn30US699FJyc3P59NNP+cEPfsB5553HvHnzkvXWhBBCwLALUPccaKPF/yqvffoiTX9tjPnac6eeS01VDd8+/dtYjSd/xsx4IEEkCe655x5cLheXX3456enp/PCHP8ThOFyApr29nTvvvJPOzk6Ki4tZsWIFP/vZzwbbTSYTf/nLX7j33ntxu92UlZVx5ZVX8q//+q/JeDtCCCGGOHIBamPXAJ90fMh253Pscb1DWAtGXZtrzeWm+Tdxa9WtnJZ/WpJ6nDyKduQKyBQzMDBAZmYmDoeDjIyMqDafz0dTUxPl5eVRW13Hq8WLF7NgwQLuvffeZHflqCba37cQQsRbu7OdBzY9QN3G+9k30BTTXmo9k/nZV/K18su4bN7UEz7YLhUN9/weSkZEhBBCiDESVsO8vvt16hrqeHHHi4S1cFR7miGHU+yXc17J1ZRlVOAJhNjR4aPb2TxY5GyykSAihBBCnKT9A/t5YNMD3L/pfvY59kW1KSgsqfgaU02XoQucyazC7OMWOZtMJIikiHfeeSfZXRBCCDEKITXEK7teob6hnld2vYKqqVHtxfZibll4C6sWrsKgFfK7N3aSlWUcUZGzyUSCiBBCCDEKe/v3cv+m+7l/0/20Odui2nSKjksqL6Gmqoavn/J1DLrIY3Z7x8Coi5xNFuM+iKTwWtsJRf6ehRCTWTAc5MWdL1K3sY7Xd7+ORvTPxCkZU7h14a3csvAWyjLLYr7+RE/ZjSdV1Wjt9+IOhLCZDJRmWZMyLTRug4jRGPlGejwerNbJsdc6mTyeyEFLh/7ehRBiMtjdu5vVDatZs3kNne7OqDa9oueyUy6jtrqWpTOWotfpj/k6ozllNxEau5yDZ9v4QmEsBj0z8u0snVOY8AWz4zaI6PV6srKy6OrqAiAtLW1cnjqY6jRNw+Px0NXVRVZWFnr9sf9DE0KIicAf8vPc9ueob6jnzaY3Y9qnZ03n1oW3cvPCmylJLxnRax7vlN0cm4mLZhcmZESiscvJmg+a6XUHKM60kGay4gmE2NbmoM3hTfjunXEbRACKiiIHzR0KIyJ+srKyBv++hRBiItrRs4P6hnrWbllLj6cnqs2gM7Bs1jJqqmpYUrEEnaI7xqsc29FO2TUb9MwtzeSi2YkZiVBVjde2ddLrDjCzwJ4Su3fGdRBRFIXi4mIKCgoIBoPH/wJxQoxGo4yECCFGLVXWIAzHF/Lx9OdPU9dQx3t734tpr8yppKaqhpvm30ShvfCk71dZkE7FYnvS/l5a+73s7o6MyKTK7p1xHUQO0ev18qAUQogUkkprEI7ms67PqG+oZ92WdfT5+qLaTHoT3zrtW9RU1bB4+uITGv0Yjk6nJG2LrjsQSrndOxMiiAghhEgdqbYG4RBP0MOTnz1JfUM9f2v5W0z7qbmnUltdy4r5K8hLy0t4/xIhFXfvSBARQggxZlJxDcKWji3Ubazjka2P4PA7otrMejPLZy+ntqqWr0z9yoTf9JBqu3dAgogQQogxlCprEFwBF49ve5y6jXV83PZxTPucgjnUVNVww7wbyLHmxK0fqSaVdu8cIkFECCHEmEnmGgRN09jYvpH6jfU8uu1RXAFX9L0NVq6Zcw01VTV8acqXJvzox7Gkwu6dI0kQEUIIMWaSsQbB4XPw6NZHqW+oZ1PHppj2BUULqKmq4fq515NpyRyz+45nyd69cyQJIkIIIcbMWK1BON7WX03T+Kj1I+o21vHEZ0/gCXqivt5mtHHd3Ouora6lurh60o5+DCeZu3eOJEFECCHEmBmLNQjDbf3NTQ/xyNZHqNtYx9aurTFfe0bJGdRW1XLNnGtIN8dnimE81EcZTxQthU8zGxgYIDMzE4fDQUZGRrK7I4QQYoSODBP+UGQ6prLAftw1CIe2/h5w+Um3GNDrdITCYXY5NrLH8zy7nH/BH/ZFfY3dlME3T72a7y+6jerSqoS9r1Ssj5IqRvP8lhERIYQQY+5E1iAc2vq774CHkKqys7ud/f71tIVexq3ujbm+PH0hM21XMDXtQtKDdj7cYSfT6IxbIEjV+ijjnQQRIYQQcTHaNQit/V4a9vWyvW8DLYEX6Q79FZXo4ztMugwur7yabC7GEJ52MBAY4h4IUrE+ykQhQUQIIUTSdbm7+H9//xOPt9ThUffHtOcZF1Cgu5Qi43mcnlZKt9Of0ECQKvVRJqK4BpG7776bZ555hu3bt2O1Wjn77LP5z//8T0499dR43lYIIcQ4oGoqb+55k7qGOp7f/jxBdcjoh5LJdOslVKR9gwzDdJy+IH3uAM09biqPCCGHxDMQpOIZLRNFXIPIu+++y+23386ZZ55JKBTiJz/5CRdddBGff/45NpstnrcWQgiRotqd7azZvIbVDatp6m+Kac/WLeTU9GWUWs5Hr5iAyHZdfzCM2aBD1TTSjlGHJF6BIBXPaJko4vo3tn79+qg/P/jggxQUFLBx40bOO++8eN5aCCFECgmrYV7b/Rr1DfW8uONFwlo4qr3AVsCVp95Ad+fZOF15hMIaobAeRa8RCIXp9wRRgFy7eXBNSCIDQSqe0TJRJDS6ORyRw4Zyco5e19/v9+P3+wf/PDAwkJB+CSGEiI/9A/t5YNMDrG5YTctAS1SbgsJFMy6ipqqGy0+9HINi5L53dvNh0wFCIZU+b2Qqxh2IhBZNgzRTCE9Az64uFwvLshIWCFLxjJaJImFBRFVV7rjjDs455xzmzJlz1GvuvvtufvnLXyaqS0IIMeElo/hWSA3xyq5XqG+o55Vdr6BqalR7sb2YVQtXsapqFdOzpke1HXrYH3AFyLAaaex2YTGAXgd2i4FTC9PpdgZod/iAfmYW2BMWCFLtjJaJImEFzb7zne/w6quv8v777zNlypSjXnO0EZGysjIpaCaEECcg0cW3mvubub/hfh7Y/ABtzraoNp2i45LKS6itruXSmZdi0B379+DGLifrt3bwyrYOet1+Mq1Gcu1mZuTbyLGZ0TSNTfv6QYE8m4lAWB1xwbSxIJVVjy/lCpp997vf5aWXXuK99947ZggBMJvNmM3mRHRJCCEmtEQV3wqGg7y480XqNtbx+u7X0Yj+3dZmKGRu5jK+PuN6rqleMKJ7Vhak840FOra2OTi10E5Wmol0y+F1GYqiMLPQTp87wLWLppJhNSY0EKTKGS0TRVyDiKZpfO973+PZZ5/lnXfeoby8PJ63E0IIQWKKb+3u3c3qhtWs2byGTndnVJuCnmlpX+Gc4quZl3c+vqBG6wEfaz5oHnEA8gTD6HUKpdlp6I/Sx8juGJUMq5FZRTJiPp7FNYjcfvvtPProozz//POkp6fT0dEBQGZmJlarrCwWQoh4iFfxLX/Iz3Pbn6O+oZ43m96MaZ+eNZ05md8km4tYUFI+eG+jnlEHINkuO3nE9Tt43333AbB48eKoz69Zs4aVK1fG89ZCCDFpjXXxrR09O6hvqGftlrX0eHqi2gw6A8tmLaOmqoZTs87m//2lkaw040kHINkuO3nEfWpGCCFEYo3FaIIv5OPpz5+mrqGO9/a+F9NemVNJTVUNN82/iUJ7IQDbOwbGLADJdtnJQ8a0hBBigjnWaIKmaQx4gzR2u5hdkklxhiXmaz/r+oz6hnrWbVlHn68vqs2kN3HlaVdSU1XD4umLY0Y9xno6RbbLTg4SRIQQYoI52miCNxhmZ4eTdocPg07BYtTzp/f2sHROISXZev782Z+pa6jjby1/i3m9WXmzqKmqYcX8FeSl5R3zvvGYTqksSKdisV22y05gEkSEEGICOnI0YVNLHzs7nYTCGsVZFk4tTMdi1PNO08c88Pnz7HKuxxlwRH29xWDh26d/m3+o/gfOKTsnZvTjaOI1nSLbZSc2CSJCCDFBVRakM/08G//12nZ8wTCV+XbMpgCbD7zIhs4naHFtjfmaOQVzqK2q5YZ5N5BtzT6he8p0ihgNCSJCCDGBtQ/46Hb6sdn38lr7s2zqfhG/6om6xqBY+Nas5fzg7H9kUemiEY1+DEemU8RoSBARQogJyuFzsHrT/TzcXEePf0dMe6ntNM7KX06O8lX+6byFY1oYTKZTDpOS8MOTICKEEBOIpml81PoRdRvreOKzJ/AEo0c/zLo0FuZfxpcLr2KKbQ4uf4h+TzBphcEm+kM60ef9jEcSRIQQIoWN9EHd5+3j4U8fpq6hjm1d22La882ns7j0Ghbmfx2L3g7EvzDY8fo+0R/SiTrvZ7yTICKEECnqeA9qTdN4f9/71DfU8+fP/4wv5Iv6+gxzBjfMvYGl5dfx0Y4Met0BgkEzBkWNe2Gw4/V9oj+kE3Hez0QhQUQIIVLQ0Ae11Wihy+ljw54etrTtI7fgQ57b9RDbe7bHfO3ZZWdTW1XL8tnLSTNG1mmcnudM2E6W44WMm86exhufdU3oh3S8zvuZiCSICCFEihn623SfJ8jnbX3sdn5Ei/9FukJ/RdsdjPqabEs2K+avoKaqhtkFs2NeM1E7WUYyEvD0xla6BnwT+iE91uf9TGQSRIQQIsUc+dt0i6Od9U1PsNf3Il6tNebaM4vP4ftf+g7fOu1bWI3Dr/NIxE6WkY4EhDWN0uyj92UiPKTl9OCRk78BIYRIMU5/gF0DH7C360W29f4FjXBUu0nJosjwNeZlf4tLZp7BtXNmpMwUxkhGAlRNRa8oUQ9pTdNw+kIEwiqBUBiTXjeuH9JyevDIjd/vshBCTDBtzjbWbFrDnzaupmWgOaa9wFRNhfUb5Bm+QjBkYFZeZspNYYxkJCDLaiI/3UxLnxe72UCfJ0hjl4s+T4BQWMUTCDOjwI43ED7KHcYHOT145CSICCFEEoXVMK/tfo26jXW8tPMlwtrQ0Y9sppovocx8ORmGKZgMOnrdAQoyIg/zvQfcKTWFMdKRgCWnFbJ2QzOb9vXT5fQRCmuYjTo0TSPDGnk0rd3QPK53z0i5+5GRICKEEEnQ4mjhgU0PcP+m+2kZaIlqU1A4p+wCjN6v0dU1B73XSJ8f+vCgALl2MzPybfiCqbfOYKQjAZUF6dx09jR+9eIXOH0h0kw6VA0KM63MyLeRnWaaELtnUrrcva8H9j4OYTec/i9J60bq/OsVQogJLqSGeHnny9Q11PHqrlfR0KLaS9JLuGXBLayqWkUokMvv3tiJo7cXXzCMUVFQFODg8yuV1xmMdCTAajSQZzdRnJmH0aDDpNeRbjk8ijIRds9AipW7D/uh7WVoWgetL4MWAmMGnPJ/wJCcf0cSRIQQIs6a+5tZ3bCaNZvX0OZsi2rTKTounXkpNVU1XDrzUgw6A6qqcd87u1E1uHh2IZ/s7cMTCJNuNpBm1tPt9PP3pj7OnJ6TsusMRjIS4A6E8IdVSrPT0B/lPUyE3TMpQdPgwEeR8LH3cQj0RbcHB6DzTSi9LCndkyAihBBxEAwHeWHHC9Q11PHG7jdiRj/KMspYtXAVq6pWMSVjSlTbkVtg0y1GzirPHVzM2e8NYtDrMOh1XDy3KKXXGRxvJEC2uMaZqxmaH44EEOeu2HZrMUy/HqbfCNnzEt69Q+S7K4QQY6ixt5HVDat5cPODdLo7o9r0ip7LT72cmqoals5Yil6nP+prOH1Bej0BTAYdmgbZaUbOnJ49uL1Vp8ABl5/8dPOY9Xu0h8+NxWF1ssU1DoIDsO9paFoLXe/GtuutUPYtKF8BhRfCMf4NJpIEESGEOEn+kJ/ntj9HXUMdbzW9FdNenlXOrVW3snLBSkrSS4Z9rcYuJ89tamN3l4vmHhcWg540s4GSLCv5djO5NhMufwiL0TBmIwWjPXxurA6rky2uY0QNQcebkZGP/c9C2Bt7TcFiqLgpEkKMGQnv4nAUTdO041+WHAMDA2RmZuJwOMjISK2/OCGE2NGzg/qGetZuWUuPpyeqzagzcsWsK6itquXCigvRKbrjvt6hM1oOuPx0O/10Of0EQ2FcgTA6RSHXbqIo3YLBoOPLFbncdv7JFzKLPRfGgCcQGgwCQ7fPHu16tz/Inh43NrOB686aytkz8kbVryODjT8UmY6pLLAfdYvrWIzETBj9WyPho/kR8LbHtqefEgkf068H27SEdm00z28ZERFCiFHwhXw8/fnT1DXU8d7e92LaK3Mqqa2q5aYFN1FgKxjx6x55RssphemYDHqaejz4Q2GsRj2hcBi3P8Qev5sMq5FTi9JP+gE82hNij3Z9rzsQWb/i9tPnDbK3x80lc4u5eM7I16+MdIvrWI3EjGveDtj7WCSA9G2ObTflwLRrI1MvuWeCkvohTYKIEEKMwLaubdRvrOehTx+izxe968CkN3HlaVdSW13L+dPOjzljZST293n4tLWfNKOeAW+QbqcPu1lPmkmHN6iiKQq+oEplvg2b2ciODicXnFpwUmFktCfEDr2+1x1gc0s/3kAIu8VIoVGH2x/m4+Ze2h2+URUjO97C1uOd6DueC58dV8gLrS9Ewkf7azCk6B06I5RcFgkfJZeC3pScfp4gCSJCCHEMnqCHJz97krqNdWzYvyGmfVbeLGqqalgxfwV5aXknfJ/GLicPb9jHtv0OLCYdmqYw4AuSZzeRYTESCKkEVQ23P8is4gwsRv2Y1NcY7QmxR16vaRqNXS68gRA5NhOKoqBqCt5AmNIsK73uwJgVIxvtyM2EoKnQ/UEkfOx7MrIIdajcRZHwMe1qMOcmvo9jRIKIEEIMsaVjC3Ub63hk6yM4/I6oNovBwvLTl1NbXcs5Zeec0OjHkQ79pr+/z4PFpMduNuALhvEGwhxw+THpdVhNBgiFsRgNmA36MauvMdrts0der2nQ5wlgtxgH/w6CYRW9TofZoKc4c2zCEox+5GZcczZC00ORD3dTbHvaVCi/MfKRcWri+xcHEkSEEAJw+p08vu1x6hrq+KTtk5j2uQVzqamq4YZ5N5BtzR6Tex75m/680kwCIY1upw+bSY/FqCMQ0uj1BCkx6nH5QhRkWEi3GHD5Q2NSX+NY22c1TWPAG6Sx28XskkyKMywx12enGQmFVYwWw+DXHNnHsKaNWTGy0Y7cjDuBPtj7ZGT0o+dvse0GO0xdHhn9KDgPRrDweTyRICKEmLQ0TWNj+0bqNtbx2LbHcAVcUe1pxjSumX0NNdU1LCpddNKjH0Md+Zu+TqejssCOyx/C6QugUxRCmorDE0CnQKbVyIx8G8CY1dc42vZZbzDMzg4n7Q4fBp2CxajnT+/tGVwQeuj6/X0eNCAQUlEUcPlCWE16ZuTbUBQF7xiFJZighc/UILStP1hq/QVQA9Htig6KvhYJH1OWgWGcj/QMYxx914QQYmw4fA4e3foodQ11bO7YHNO+sGghNVU1XDf3OjItmXHrx9Df9HNsJsrzbGzaF8ATCOMPqaiahsUYZm5pJka9jl1drjGtr3HkuTCbWvrY2ekkFNYozrJwamE6FqM+ZkHozedMZ/3WDrqdHXQO+Mi0GinIsDAj30aOzTzmxcgmTOEzTYPejQdLrT8G/p7YazLnRMLH9OshbfiaMxOFBBEhxKSgaRof7v+Q+oZ6nvjsCTxBT1S73WTnujnXUVtdS3VJdUL6NPQ3/V53gKYeNyaDjmk5abgDIfo9QRQFtrY68IdUqqZmj/kR8pUF6Uw/z8Z/vbYdXzBMZb6dDOvhtR9DF4RWFqTzjxfYmT81i8f+vg+3P0RFno00swGnLzjmxcjGfeEzz/5IrY+mdeD4PLbdUgDTrosEkOwF42LL7ViSICKEmND6vH089OlD1DfUs61rW0z7WaVnUVNVwzVzrsFusie0b0f+pm8z6Qd3oeTaItsvA2GV00syOKXAzu4eNzPy7dSeW4HBMPZrBNoHfPS4IjVMhk5/HG1BqE6ncO7MfIozLYO1Pbqc/qOesjsWRnqib8oIuiJVTpvWRaqeDjlrCJ0ZplwRWXRavDSyBXeSkiAihJhwNE3j/X3vU9dQx1OfP4Uv5ItqzzBncOO8G6mpqmF+0fwk9TL6N/1PWx10OX3YzQYCYXVwzUVlgZ0sm5lT9Dq6nX7aB3xx2RlyogtCR1qMbCwk8l4nRA1D1zuR8NHyNITcsdfkfyUy8jF1OZiyEt3DlCRBRAgxYfR4eli3ZR31DfVs79ke03522dnUVtWyfPZy0oypsfjv0G/6D2/YR2OnCwUNg14fteYCRr8zZLSl0E9mQejxipGNpUTea8Qcnx8ute7ZH9tur4iccFt+I6TPSHz/UpwEESHEuKZpGu80v0N9Qz1Pf/E0gXD07oNsSzYr5q+gpqqG2QWzT+peJ3rOyfG+rrIgnVu+Mp32AS9pRj2ZaZEgEAxHttGmWwyj2hlyIqXQJ8yC0ETxdR8utd67MbbdmBUpNFZ+I+SdPenWfYyGBBEhxLjU5e7iwc0PUt9QT2NvY0z7+dPOp6aqhitPvxKLwXLS9zvRc05G+nVTstOYV5rFh00H6HD46PMGCakqBp2ObKtx8KC74wWBEy2FPu4XhCZC2A+tL0XCR9sroA0ZnVL0kRLr5Sug9DLQn/y/u8lAgogQYtxQNZW/7PkL9Q31PL/9eYJqMKo915rLygUrubXqVmblzRqz+57ow300X6fTKcwqTufZza04fUFybSYyLAYGvCF2dDnJsBhZ8eVpwwaBky2FPu4WhCaCpkHPhwe33D4Owf7Ya3KqD5ZavyayA0aMigQRIUTKa3O2sWbTGlZvWk1zf3NM+4XlF1JTVcOyWcswG8xjeu8TfbifyMm229udFGdYyLeb6Bjw0THgIxTWMOgU3P4Q6zbsZVqOjVOKjh4IxqIUesovCE0UVxM0PRwJIK7YETesJZFaH+UrIGtO4vs3gUgQEUKkpLAa5rXdr1G3sY6Xdr5EeMiJo4W2wsHRj8qcyrj140Qf7id6su3MQjuBkEqvO4DNZCDdbCDNrMcTCLO7y8Uf3m7kexdWHnV0YqxKoafkgtBECDhg35+h+SHoei+2XZ8GZd+KhI/Cr4JOn/g+TkASRIQQKaXF0cIDmx7g/k330zLQEtWmoHDRjIuora7l8lMux6iPf+2FE324n+jJtlajhS/anYRVLSrE2MwKgVCYA27/MadXJmQp9HhTQ9D++sFS689D2DfkAgUKL4iEj7JvgXESTk/FmfxrFEIkXUgN8cquV6jbWMerja+iampUe0l6CbcsuIVVVauYnjU9oX072sNd0zScvhCBsEogFMak18U83E/0ZNsupy/mVFuInGxr0OspzrQec3pFdr6MQt9m2LMO9j4Kvs7Y9oxZh0ut26YmvHuTiQQRIUTSNPc3s7phNWs2r6HN2RbVplN0XFJ5CbXVtVw681IMuuT8uBr6cO/zBGnsctHnCRAKq3gCYWYU2PEGwsN+3fFCwaHrN+zpiTrV9tD1h062zU83s/eA+6jTK7Lz5Ti87dD8aGT0o//T2HZz7uFS6znVsuU2QSSICCESKhAO8OKOF6lvqOf13a+jDSl9XZZRxqqFq1hVtYopGVOS1MvDjny4b9rXT5czsoDUbNShaRoZ1siP0bUbmmN2wYwmFBy6fmeXkz3dbkyGEDazgeARVVZn5NvwBYefXpGdL0OEPLD/uYOl1t+AIaNt6IxQejmU3wTFF4PelJRuTmaKpmna8S9LjoGBATIzM3E4HGRkZCS7O0KIk7DrwC5WN6zmwS0P0uXuimrTK3ouP/VyaqtquWjGRehTcBHgzs4BfvXiF+zudpFm0qHX6Ugz6cm2GUk3GenzBllUnsN3FldGjTgcWUfEH4qEiMoC+zFDwdD7GPR6cmwmZuTbyE4zsavLxdzSTG47f8Zxt/JO2p0vmhpZbNq0DvY9BSFn7DW5X4KKFTD1ajDnJL6PE9xont8yIiKEiBt/yM+z25+lbmMdbze/HdNenlXOrVW3cvOCmylOL05CD0fOajSQZzdRnJmHJxhmd7eLlt7IaAeASa+jtd/LvLIszp2ZP/h1o90Oe0phBj+77HT+8HYjB9x+ijOt5Keb8QXD7OpyjXh6ZVLufBnYAU0PRT48+2LbbdMOl1rPOCXx/RNHJUFECDHmtvdsp35jPWu3rOWA90BUm0FnYNmsZdRU1bCkYgk6ZexPko0HdyCEP6xiNRnY0dJP54APRVGwmQxoaPiDKm39Xur/uofiTEvUaMdoQ8EpRel878LKwZGUvQfck3t6ZTj+Xtj3BOxZCwc+im03pEcOmCtfAQXnwjj59zaZSBARQowJb9DL0188TX1DPe/tja3BUJlTSW1VLTctuIkC2/irPmkzGTDrdWxvd3DA5UevU7AadQcXoSooQEhVaen18Nq2TioWH7166UhJYbFhhAPQ/urBLbcvwpAKuyg6KFoaCR9TvgGGSTYyNM5IEBFCnJRtXduo31jPQ58+RJ+vL6rNpDdx5WlXUltdy/nTzo8p7DWelGZZyU+38MHuHjQNzIMhJFIFPBDWyLAa0QFb9vfxyd5eMqzGmAAxmrUbk3J65Vg0DXo/OVhq/THwH4i9JmteZNHp9GvBmtpTfeIwCSJCiFFzB9w8+dmT1DfUs2H/hpj2WXmzqKmqYcX8FeSl5SWhh2NPp1M4Y3o2L2xpxR8OodNBWFXQgLCqYdQr5NrMOLwBdnS6+NO7uzEb9VGH3AEndHDepObeB82PRALIwPbYdkvh4VLr2fMT3z9x0iSICCFGbHPHZuo21vHI1kcY8A9EtVkMFpafvpza6lrOKTtnXI5+HG+04rTiDIozLTi8QQa8QUBBUcBi1JOfbiakqji8ISxGPbk2MwUZlsFD7r7oiPx9HaqYOtKD8yaloBNanomEj863YcgWb/QWmPLNyKLToq9BkmrMiLEh3z0hRmAyb4V0+p08vu1x6hrq+KTtk5j2uQVzqa2u5YZ5N5BlyUp8B8fIkdtsjzVa4Q2GCKsaOkXBYtRjNuhAUQirGr0uP8GwiqrBjDwbRQfLs6dbjNhMel77vBM0WDq7EJ0usmBypKfiTgpqGDrfioSPlmcg7Im9Jv9cqLgJyr4NpszE91HEhQQRIY5jJA+oiUbTND5p+4T6hnoe2/YYroArqj3NmMY1s6+htrqWs0rPGpejH0dq7HKy5oNmet2BY45WVOTZeeOzLjKtJoozw3Q5/QRVDYtBh04HDl8QVdUozU6jstAe9Xfi8ocJq9rg/8+w6qLKxNvNenZ1Ooc9FXfC6v8sEj6aHwZvW2y7vTIy7VJ+A9jLE98/EXcSRIQYxkgeUBMpjDh8Dh7d+ih1DXVs7tgc076waCG11bVcN/c6MswTo8igqmq8tq2TXneAmQWHA8TQ0YrL5ukGT8ednmfj0/39g6NkAGaDnrCqMX9KJjk2c9Q9AuFINU8FjUA4crLukWXidbrIrpsvOgYmRxDxdUHzY5EA0tcQ227MgmnXREY/chdJqfUJLiFB5A9/+AP33HMPHR0dzJ8/n9///vecddZZibi1ECdspA+o8T6crmkaH+7/kPqGep747Ak8weghcbvJznVzrqO2upbqkuok9TJ+Wvu97O52RZ10e4iiKBRnWmjscrGnxz14mq5ep3D+KfkMeIP0eYOggaJo/L2pF91RHpomfWQqRkPB4w/R2O3GGwhhtxgxWgy4/SH6PUFe3tJORZ5tQoXbQWEf7H8hEj7a14MWfTYPigFKvx4Z/Sj5OujNR38dMeHEPYg88cQT3Hnnnfzxj39k0aJF3HvvvSxdupQdO3ZQUDD+agmIyWOkD6jxOpze5+3joU8for6hnm1d22Lazyo9i5qqGq6Zcw12kz3h/UvUuhynL0ivJ4DJoEPTIN0SfUCd1aSncyByNPyRp+kqikJmmonMtMjZJAPeAFlpZno9Acpy0qJew27Wo9cpaKpGu8OLNxAix2ZCURQ0TSMQUpmWm4Y/pE6IcDtI06D7g4Ol1p+EoCP2mpwzI+Fj2tVgyY9tFxNe3IPIf//3f1NTU8PNN98MwB//+EdefvllHnjgAX784x/H+/ZCnDB3IDT4G/DRHHpAHe0U1FSlaRrv73ufuoY6nvr8KXwhX1R7pjmTG+bdQE1VDfOLkrcVMlHrchq7nDy3qY3dXS6ae1xYjAZy0kzMKLANTq94A5HzYcrzbMOeptsx4OfLFTl4g+pRD7k7pTAdTyDE9nYnWWlGNCAQCg8eaFdZYMeo143rcDvItedwqXXX7tj2tCmHS61nnpb4/omUEtcgEggE2LhxI3fdddfg53Q6HUuWLGHDhtjaA36/H7/fP/jngYGBmGuESBSbyRD1G/BQhx5QxzoFNZX0eHpYu3ktqzetZntPbC2Gs8vOpqaqhqtmX0WaMbkPwEStyzl0nwMuPwXpZvo9QcwGhS6nD6c/yIKyLLLTTLQ7fMwtzaQsO+24p+leu2gqwDFPvt3T7ea3r+0grGr0ewLodToKMizMyI8En5CqjrtwOyjQD/v+HBn96H4/tt1gi+x2KV8BBedDCh5sKJIjrj9Be3p6CIfDFBYWRn2+sLCQ7dtjfxjefffd/PKXv4xnl4QYsdIs67C/AR96QJVmHX3EJNlUTeWd5neo21jHs9ufJRAORLVnW7JZMX8FNVU1zC6YnaReRhvJupzXtnVgmq/DEwyf8JTNkfc5pTCd/HQLm1v6cftD2MwGXL4gn7cPkG+3kGs/fMhcZUE6N58z/ZhB41BAOlZpdrNBz+ySDIx6HUaDDpNeFzUVNJ7CLRAprd7+eiR87H8eVP+QCxQoujASPsq+FQkjQgyRUv/a77rrLu68887BPw8MDFBWVpbEHonJTKdTjvsb8EhOQU20TlcnD25+kPqGenb3xQ6Lnz/tfGqqarjy9CuxGCxJ6OGxHW9djtWo4+WtHXza6kCvU054ymbofXJsJhaUZQ3uZAlr0DXgp3paNledURb12iM5A+ZYpdlLs6xUFqSzrc3BzEz7uAu3QGTdR9/mg6XWH43sgBkq8/SDpdavi0zDCDGMuAaRvLw89Ho9nZ2dUZ/v7OykqKgo5nqz2YzZLCulReoY6W/AyaZqKn/Z8xfqNtbx/I7nCanRQ/t5aXmsnL+SW6tu5dS8U5PUy+M7tC7HarQw4A0SCKuDowZ9niA7Ol30uv2cWminNDvthKdsjrb+J8dm4szp2Th9IbzBEJ0DPpYtLD3qa57oGTDjNdwC4Gk7XGrdEbu4GXM+TLs2suU2e6FsuRUjFtcgYjKZqK6u5s0332TZsmUAqKrKm2++yXe/+9143lqIMZPKp6C2OdtYs2kNqzetprm/OaZ9ScUSaqpquOLUKzAbUj/k20wGAiGVD/ccwB0IE1JVDDod2VYj3oMLOzOtRrLSTOh1yglvpT7W+h9FUciwGlEUyE4zk26OXRt0ssZLuAUg5IaW5w6WWv8LaGp0u84Epd84uOX2YtCN/d+XmPjiPjVz5513ctNNN3HGGWdw1llnce+99+J2uwd30QgxHqTSKahhNcxru1+jbmMdL+18ifCQegyFtkJuWXgLqxauYkbOjCT18tiG25brDYbodvrpGPBRlGEm3WAiGFZpc3jp9waxmQ2U2q2kWw7/6DqRrdTJXv+TyuEWTYWudw9uuX0KQq7Ya/LPiYSPqcvBlJ34PooJJe5B5Oqrr6a7u5uf//zndHR0sGDBAtavXx+zgFUIMbwWRwv3b7qfBzY9QMtAS1SbgsLSyqXUVNVw+SmXY9Sn5m+mw23LPVRCPcNiJKxquP1hFEXBqNdhNurxDfgw63VU5Nli1o+Mdit1IqdIjhW8jhVuk3aukWM7NB/ccutpiW23lR8utZ5eGf/+iElD0TRNO/5lyTEwMEBmZiYOh4OMjIlRTlqI0QipIV7e+TJ1DXWsb1yPOmRovCS9hFULV3HLwluYnjU9OZ0codhtuQY8gdDgg/+SOUU809BKVpqRYFg7XAJdVVFV6PcEsJn1LDmtiHSLYfCclkjVUg2HN8QPvnbK4MN9JA/0I4ORPxTZsVJZYB+zKZLR1kNJ+LlGvh7Y90Rk9OPA32PbjRkw9epIAMk/R9Z9iBEbzfM7pXbNCCEimvqaBkc/2l3tUW06RcelMy+ltqqWS2ZegmEcHIE+km25b37RhTcYpuRgCfVDC0cDYRWjTuGLjgH2HvDQOeBly34/fe4AmgZmow4NOLcyb3AqZaQP9HhOkYy2HkrCzjUK+6HtlUj4aHs5sgX3SIoeipdGdr2UXg6GFN7BIyaE1P8JJsQkEQgHeGHHC9Q31PPG7jfQiB6sLMso49aqW7ll4S1MyRhfWyJHUi6/tc8LClEl1DOsh6eYSrOsNHW7eW/XATRNw6BTIr+ge8Fi1NPp9LOnJ7KeYTQP9His/xntOUVxP9dI0yIjHk3rYO/jEOiNvSZ7wcFS69eCNXZXoxDxIkFEiCTbdWAXqxtW8+CWB+lyR9dk0Ct6vnHqN6ipquGiGRehH6fVKEdSLl+vg4IMC+0O31EXkHYN+FE10NAw6hVAQ9Ui15j0Ch0OLw9v2IvRoOOAK8AphfbBs1w0DbLTjOzv8/Datg4qFsf3LJfRnlMUt3ON3Huh6eFIAHHujG23FsP06yPl1rPnnchbFeKkSRARIgn8IT/Pbn+W+oZ63mp6K6a9PKucmqoaVi5YSXF6cRJ6OLZGUi7fYjRw4WmFrN/WEbOAtK3fywF3AEUHM/Pt+IJh+rxBAkGV8MFzXrpdAfZ0uzEbdZRkWslPNwHK4bUmYRUN6HZ2MK8si3NnHv2AtbFYLDrac4rG9Fyj4ADsezoSPrreiW3XW2HKssjUS9ESKbUukk6CiBAJtL1nO/Ub61m7ZS0HvAei2ow6I8tmLaO2upavln8VnaJLUi9PztEe5CPdLnvOjDyKMy0xNTam5dro9wTxBsOEVI1eT5BgWEWvA38wsoA3GFZB09DrjPR7Any45wAQGRGxW4wYLZEaJZ0DPh77+z6KMy0xay7GarHoaM8pOulzjdQwdPzlYKn1ZyHsjb2mYHGk2FjZtyKLUIVIERJEhIgzb9DL0188Td3GOv66768x7ZU5ldRW1XLTgpsosBUkoYdjZ7gH+Ui3yx5aQNrS56Gpxw1Ewsr2jgFMeoUet59gWMViUHD7w6gaGPUKwTBoCoRUDbvZQMvBNScz8mzodJFQpyiQaTXi9odi1lyM5WLR0dYpOeG6Jv1bI+Gj+RHwRi9qBiD9lEj4mH492KaN+PsoRCJJEBEiTrZ1baN+Yz3rPl1Hv68/qs2kN3HlaVdSW13L+dPOj1kXMB6N5EE+0oqie3pcUYEmHNboGvChauDyRUZaVE0jqGroD/7VaYDdZAAUelwBVE0DTSEY1jDrIg90ly9EQYaFijxb1JqLsV4sOto6JaO63tsZOeOlaV3kzJehTDkw7ZrI1EvumbLlVqQ8CSJCjCF3wM2Tnz1JfUM9G/ZviGk/Le80aqtruXHejeSm5Sahh/Ex9EEODG69LUw30zHg4/XPOrnt/Bl85zjbZY8WaNz+IE0H3PR5Ilt2/aEwOp2CpkUCSDCsYTLoKMq04vQFUQ9+Tq+LhBUOloe3mvTMyLeRZjbQ5fQPrrmIx2LR0ZZyH+76pbMymOF9Bd5ZB+2vwZBquuiMUHLZwVLrl4LeNLpvoBBJJEFEiDGwuWMzdRvreGTrIwz4B6LaLAYLV82+itqqWs4uO3tCjH4MdeSDvM8TjFogatDrsJn0NOzrG3yQH+thfqyRiQyribOm5/DmF514gypGvY5AWCWsqoQAs0FPabYVg17BajIwNdvKJ74+AmEVtz+ExainIMPCjHwbOTYzTl8was3FmC4WPcJo65REXe8PkO3+mIKe36O8/1RkEepQuYsObrm9GswTJ9iKyUWCiBAnyOl38vi2x6lrqOOTtk9i2ucWzKW2upbr515PtnVin8dx6EHuC+rZ2urAGwgNLhANhjX6PUG6XX6+6BgYdkRhuJGJXLuZL1Xk8H5jb2Sth0WPQuSaKdmRSq297gAFGRZOKbTTdMBNSIUvlWdjMRpItxgGt/MOXXNx0otFhzHaOiU6927K9h8ste5uir0gbSqU3xj5yEjdk5SFGCkJIkKMgqZpfNL2CfUN9Ty27TFcgegDwdKMaVwz+xpqq2s5q/SsCTn6cTQ2kwGzXseOjgG8gRA5NtPgezcbFDSLnm5nmE+ae1ky69hnuBxvZKIkO43TigLo9DpCYRWbycD+Pi9OXwinL4TdYqAow8zuHg+nFkV2hvR7QxSbDIQ1Da8/dNQ1Gsk+BI9AH+x9MrLuo+dvse0GO0z9dmT0o+B8GKc7qoQ4GgkiQoyAw+fgka2PUN9Qz+aOzTHtc/IXcOWsFVx1+rXMKhibw9Li4Xg1Moa2F2dYaD84JTHctEJplpX8dAsfNfVSkG6OeZC7/WGKsyx0D/iHXWcxkpGJvHQL36wq5dMWB7u7XeTaTWiAgkauzQwog+swgBGt0UjkIXiD1CC0rY+Ej9YXQA1Etys6KPpaJHxMuQIMtrG7txApRIKIEMegaRof7v+QuoY6ntj2BN5QdG0Gu8nOZZVXMdV0OUHfdLraw6zu7mBGvit+h5SdhOPVyBjaHgip+IMqZqMOk0E3bE0NnU7hjOnZrN/WjtMXBAWMeh3BsDq4SPTUwnQc3uCw6yxGU2/knBl5g6HJatSjAJ5gOCYwjXSNxmgXl54QTYO+BtizLrLzxd8Te03m7MiOl+nXQ1rJyd9TiBQnQUSIIXq9vTy05SHqG+r5rPuzmPazSs+ipqqGMwu/zpN/76HXGaA40xi/Q8rGwPG21n51VgFvbe8abPcF9Wzc20u/N0h2mpGqqdlYjPph39tpxRmcUpROnzuAOxDG7Q+h1+kGF4ka9Tp8QXXYdRajHZkYydqL0azRiNsheJ79kVofTevA8Xlsu6UApl0XGf3IXiBbbsWkIkFECCK/bf9131+p21jHU58/hT/sj2rPNGdyw7wbqKmqYX7RfFRV4753dsfvkLIxdLwaGTs7nTz4t2ZsJgOnFEa23n7R3kdY1ZiabaXPE6T5gIczpmUzs8B+zPdWmmVlYVk2W1sdzM0wE1Q1THod6ZbIj5ldXa4RrbM4cmSisctJU08AnaKjssDOldWlcQ93Y3YIXtAVqXLatA463oQhhxiiM0emXMpvjJx2q4udihJiMpAgIia1bnc367aso76hnh0HdsS0n1N2DrXVtXz79G+TZjz8cIrbIWVxcLy+plsMfNY2wJcrclEUhQFvkD5PALvFiE6nw26J7EZx+kJkWI3HfG9HjmZ0Ov2DoxmuYywQHU5lQTrq6eDwBhjwBQlrkYJmb3zWhU5RUmakKYYahq63I1Mv+5+BkDv2mvxzIlMvU5eDKSvhXRQi1UgQEZOOqqm83fQ29Q31PPPFMwTVYFR7jjWHFfNWUFNdw+n5px/1NeJVdyIejtdXvU4hGFYHA0IgrBIKqxgPjmQY9Trc/khxMhj+vY3VOovGLidrN0Smkqbl2kgzGVJ22guITLc0rYucdOttjW23V0SmXabfAOkzEt8/IVKYBBExaXS4Onhw84OsbljN7r7dMe2Lpy+mpqqGb532LSwGy7CvFc+6E2PteH0NqxpGvQ5VjUwdmPQ6DHpdpDS6QTl4uJwOkz6yZfR47+1k11mMdbn1uPF1w97HoWkt9G6MbTdmRgqNla+AvLNl3YcQx5D8n5JCxJGqqbyx+w3qGup4YccLhNTo3+Lz0vJYOX8lt1bdyql5Iy8OlfS6E6NwvL46fSGm59kY8IUo0jTSLQay00x0O30Y04yD57OkWwwJeW8pPe0V9kPrS5HRj7ZXQBsyKqToofgSqFgBpZeDfvhAK4SQICImqDZnG2s2raG+oZ69jr0x7UsqllBbVcsVs67AdALnciSl7sQJOl5fc+1mlh/cNXOofXpeGr1uP/v6vGRZjUzPTRvxWo/jbRM+nkRMex2vnkoUTYOeDyPhY98TkeJjQ2VXHZx6uTayA0YIMWISRMSEEVbDrG9cT31DPS/tfInwkIPBiuxF3LzgZlYtXMWMnJOfp09I3YkxMrSvHQ4vYRVKsqxceFoBZ8/IY1pu2mC7PxSmLCeNgpCK2aDD4Q3iC6rHfW8jOYH3eH8v8Z72GnFQcjVF1nw0rQNXY+wLWUsjtT7KV0DW7BPqixBCgoiYAPY59vHApgd4YNMDtAy0RLUpKCytXEptVS2XnXIZRv3YbpGMW92JODjU1w929/DmF520O3x0DPh4pqGVLS0Ols4p5DuLZ5xQZVUYu7Ud8Zz2Ol5QWrUomwrva5Hw0fVe7Avo06DsysiW28Kvgk4/6j4IIaJJEBHjUjAc5OVdL1PfUM+ru15FG1KjoSS9hFsW3MKtVbcyLWtaXPsyZnUnEmBPj4v12zrodQcozbIedzfKoQWsIzFWazviNe11zJN9zQpzszZS5niKqe+8B/iHfKUSCR3lK6DsW2C0j+q+QojhSRAR40pTXxOrG1azZvMa2l3tUW06RcelMy+ltqqWS2ZegkEn/7yPNNoRi9Gu9RjLtR3xmPYaGpTyQts53fccs3wvYtN6YGiuyZh1eMutrWzU9xNCjIz8pBYpLxAO8MKOF6jbWMcbe96IaZ+aOZVVC1dxy8JbmJIxJQk9HB9GM2LhD4VHvdZjrNd2jPW0lzsQwhTq5LzwW8zufZ78cGwBO5eWSbDsarJn10BOtWy5FSIBJIiIlLXrwC5WN6zmwS0P0uXuimrTK3q+ceo3qK2u5WsVX0Mvc/XHNdIRC6c/yNtfdI96rUc81naMybRXyAP7n2fazjX8h/ImOo8a1RzGyB7TBTTovs4ngS/zf+bMJnucTLUJMRFIEBEpxR/y88wXz1DfUM/bzW/HtFdkV3DrwltZuWAlxenFSejh+DXSEQuXL3RCaz1Gs7bjWNtnR7WtdjiaCl1/Pbjl9s8QcjI0/rQZFvCF5RvsNF+KV8ka8Vk4QoixJUFEpIQvur+gvqGedVvWccB7IKrNqDPyzdO+SU1VDV8t/yo6RZekXo5vIx2xsJsNJ7zWYyRrO4619mRWcTrb250nXH8EgIGd0PQQND8E7tj6MUHLNP4auph3Axeht556RFBypVTtFyEmEwkiImm8QS9Pff4UdQ11vL/v/Zj2mTkzqa2uZcX8FRTYpEjUyRrpiIXZoD/myIl28PA5X1BlwBtEVbWYB/dwazuOtX32wz0HeHZzK8WZFmYW2IddkxIzamL1otv/JOxZCwc+in3jhvTIAXPlKzAWnMvUbjcF46D2ixCThQQRkXBbO7dS31DPQ58+RL+vP6rNrDdz5elXUltVy3nTzouZGhAnZyQjFqqqHXXkpNcdoLHLyd4DHtItBh77aB8fN/UddcTiaGs7jrVrx242EFJVnL4g+XbT4D2PtiZlT4+L17Z10tzVx4zwe5ytvEIJfwWiDy5E0UHRRZFdL1OuAMPhvoyn2i9CTAYSRERCuANunvzsSeoa6vhw/4cx7afnn05NVQ03zruR3LTcJPRw8jjeg/hoIyfeYJiGvX30e4NkpxmpmpqN2aDj780H+KzdwXVnTeXsGXnDPsyPtWvH6QvR5wmSazPR5wni9IXIsEZGYo5ck/JBYzdbt77J6b7nuFn3OmlKf+xNsuZC+U0w/TqwHnsN0Xiq/SLERCdBRMTVpvZN1DfU88jWRxjwD0S1WQwWrp59NTVVNZxddraMfhzDmC3gPMLxHsRHjpw0djn5vH0Apy9ERZ6NygI7oLC9w0Wf20+fN8jeHjeXzC3m4jlFg6MqQ/t8rF07gbBKKKySmWZkwBskEI7e1VKg72R+8GlmbXyVc7WmSL2PI+qsuZR8NqhL6c2/iuVLLpORDSHGGQkiYsw5/U4e2/YYdRvr2Ngeezz6vMJ51FbVcv2868myZCW+g+PIyR4gdzIOjZx8sreXP727m1ybmaJMC32eIJtb+vEGQtgtRgqNOtz+MB8399Lu8PHVWQVHXXQ6vyzzqGtPTHodBr0ObyCMXqfDpNdhVF3MDLzBab7nKAt+hKLTosJHCDON5iV8Yb6CvaZzGPBr9PcFOTsZJ/IKIU6KBBExJjRN45O2T6jbWMdj2x7DHXRHtduMNq6Zcw211bWcWXKmjH6MwFgcIHeydDqFDKsRs1FPQYblYL9ceAMhcmwmFEVB1RS8gTClWVb2HfDwP2/uojjTSklWdJ9b+z1kpRlpd/ii1p6kWwxkpxlp7hng8sLtLAu+xUzXGxjxxvSnxXAmX1iWscu8lIDu8Hu3mtSTPpFXCJEcEkTESen39fPIp49Q31DPls4tMe1VxVXUVNVw3dzryDBnJKGH49NYHSA3Fo6sP6Jp0OcJYLcYB/sUDKuDIxmeQIhup5+FZVmDox5H9rkkU092milq147du53rzU/zpbL15Ol7Yo566VGm4i6+hoc6zkO1To/LibxCiOSR/2rFqGmaxob9G6hvqOeJbU/gDUX/5ppuSuf6uddTU11DVXFVkno5vo3VAXJj4cj6I9lpRkJhFaMl8qND0zRcvtDgaInTH8JkUAgOOSzvUJ/7PEG+WVXKruY9ZPespVp9kanKdhiSLTxaOpt0S+nMWc68BRdTkZ9O9ju743IirxAiuSSIiBHr9fby0JaHqG+o57Puz2LaF5Uuora6lqtmX4XdJCeUnoyxPEDuZB25i2Z/nwcNCIRUFAVcvhBWk54Z+TaCqkYgpGI26DHpY4vO2Y0hSkKvsXDPO3yl9w0ULRx90JxiQCu5lAP5V3Mg62tMtdj48hELc+NxIq8QIvkkiIhhaZrGX/f9lbqNdTz1+VP4w9Hj5pnmTG6cdyM11TXMK5yXpF5OPGN9gNzJOrSLZv3WDrqdHXQO+Mi0GinIsDAj30aOzYzDEyAQUsm1m0g/OGKCplES2shpvhc4xfcKFsUJB4a8eM4ZkXof065BseSTB+QN04exPJFXCJF8EkTEUXW7u1m3ZR31DfXsOBB7Suk5ZedQW13Lt0//NmlG2aUw1uJxgNzJqixI5x8vsDN/ahaP/X0fbn9kO2+a2YDTF6RjwEd+upk0k4HMcAun+1/gNN9zZKktsS+WNgWm3wDlN0Lm6aPqgxQjE2JikSAiBqmayttNb1PfUM8zXzxDUI2uVpljzWHFvBXUVNdwev7IHx5i9EZzgFyi+3XuzHyKMy2DIxNdTj9mg54zSnScM/0jrK2PML1vU8zX+rHiL/4mGaetgsLFkeqnJ9gH2aIrxMShaJqmHf+y5BgYGCAzMxOHw0FGhuy4iJcOVwcPbn6Q1Q2r2d23O6Z98fTF1FTV8K3TvoXFYElCDyevI+uI+EOR6ZjKAntKTEWoqkZr7wB0vE5u1xNYu15CUaOn7lRNoVE5k32ZyylfeD0zSuTEZCEmg9E8v2VEZJJSNZU3dr9BXUMdL+x4gZAavegxLy2PmxfczK1Vt3JK7ilJ6qVIyakITYO+zeia1lG291HwdcVeknE6jqKr6clbjjVjGl9Ndp+FEClLgsgk0zrQyprNa1jdsJq9jthj0pdULKG2qpYrZl2BSW9KQg8nppMp054yUxGeNmh+BJrWgWNbTLOTbD7RltKg/wYW6xksnVqU9FEbIUTqkyAyCYTUEOsb11O3sY6Xd72MqkWf5VFoK+SWhbewauEqZuTMSFIvJ65klmk/aSE3tDwXCR+df4Eh/3Y0xcQ25XzeC11KX8ZiLOZIJdXG9gHaBnwJqf4qhBjfJIhMYPsc+7i/4X7u33Q/rc7WqDYFhYsrL6amqobLTrkMoz52i6g4ealQpn3UNBW63o2Ej31PQcgVe03e2ajTb+SBfWeysQNmFtixJbH6qxBi/JIgMsEEw0Fe3vUydRvrWN+4Ho3otcil6aWsWriKWxbewrSsaUnq5eSQSmXaj9fP1n4vwb7Pyet+gvSOJ1A8R9lyayuP1PsovwHSK2nt9fD5pp0UZxqPenaQ3axn494+PtnbyxnTciSMCCGOSoLIBNHU18TqhtU8sPkBOlwdUW06Rcdlp1xGTVUNF1dejEEn3/ZESKUy7ceyZ38z+zetYbrzaSqIrZaLMROmXhUJIPnnwBHv41jVX3vdARq7XBxw+xnwBvnTu7v5eGrf+JiKEkIknDyRxrFAOMDz25+nvqGeN/a8EdM+LXMat1bdys0LbqY0ozQJPZzcUqlMe5SwH9pewbX9AaZ2r6eC6PuHNT2N+rPJnL2KotOuAsPR+3+06q+97gCbW/rxBkKYDDoyrUZybebUnooSQiSVBJFxaOeBnaxuWM2Dmx+k29Md1WbQGfjGqd+gpqqGr1V8Db1On6ReTl6Hpjo6HD7CqobbHyLDmuQy7ZoGB/4eWfex93EI9DL0NKAuw2l8bl7GdvPX2dJjYW5PJrfpLByr7NjQ6q8AjV0uvIEQ2WlG+jxBCjIsFGVaKIKUmYoSQqQWCSLjhC/k49kvnqWuoY53mt+Jaa/IrqCmqoaVC1ZSZC9KfAcFEL1DxhsM0dLrpanbzVnl2eTaDxeDS1iZdvdeaHo4EkCcO2OanUo+OyyX84XlCnoMswY/X5wZPO600dDqr3azngNuPyaDjj5PcPAwvEPTUqkwFSWESD0SRFLcF91fUN9Qz9ota+n19ka1GXVGvnnaN6mtquWC8gvQnWDJbDE2hu6QKTFZsRr1fNzcx7s7ezhzejbFWdb4l2kPDsC+p6FpbWT3y1B6K468r7Ou43wCOV9Fp4/9MTDSaaMjD6Jr2NfHgDcYcxjeaF9TCDG5SBBJQd6glz9//mfqG+p5f9/7Me2n5J5CTVUNN82/iXxbfhJ6KIY61g6ZshwbaSYDf2/uZUeHE19QxWKMw4mxagg63oyMfOx/FsLe2GsKL4gsOi37FgNOA01v7CQrqJF+lNm70UwbHar++sneXv707m5ybWaKjrJAN9EnBgshxoe4/URobm7mV7/6FW+99RYdHR2UlJRwww038NOf/hSTSSp2Hs3Wzq3Ubazj4a0P0+/rj2oz6818+/RvU1NVw3nTzjvqdkmRPMPtkMm1mzlnRi5t/T6uOrOMGfn2MSvTrvZ+imv7A1jbnsAY6Ii9IOPUSPiYfj3YDm/XLs3SxvR0X51O4YxpOXw8tY9tbQ6GTg4m68RgIUTqi1sQ2b59O6qq8qc//YnKykq2bdtGTU0Nbreb3/72t/G67bjjDrh54rMnqNtYx0etH8W0n55/OrVVtdw4/0ZyrDlJ6KEYiePtkEkzGzDoFYoyLSe/PsLbAc2P4t+1FrPrU4YeJ+XSMtisu4SO7G+zYOFFVBbGHjgVj9N9U/XEYCFEakvo6bv33HMP9913H3v27BnR9RP59N2G9gbqN9bzyNZHcAacUW1Wg5WrZl9FbXUtX57yZRn9GAdaej387o2dZKUZB7eyHsnpC9LvCfKDr51yYkEk5IX9z0emXjpeBy0c1RzUDHzoW8Rr7ovYyjnMKMzBG1TJsZmG3TIbj9N9U/nEYCFEYqTs6bsOh4OcnMn7W73T7+SxbY9Rt7GOje0bY9rnFc6jtqqW6+ddT5YlK/EdFCds6FbWk53qiHyhCt0fHCy1/mRkEeoQ7YZ5vOr+Gi/1nYshLR9M4HYH6BjwUz01i8Zu97BbZuNxum9KnhgshEhZCQsijY2N/P73vx92Wsbv9+P3+wf/PDAQ+4N3vNE0jY/bPqZ+Yz2PbXsMd9Ad1W4z2rh2zrXUVNdwZsmZMvoxTo3ptISzEZoeiny4m2KaQ5Yy3vYvZWfaFfQo5WxoO4DFrB/8t2O3GOh1B3D5wyPaMhuP031T5sRgIUTKG3UQ+fGPf8x//ud/DnvNF198waxZh2sStLa2cvHFF7N8+XJqamqO+XV33303v/zlL0fbpZTU7+vnkU8fob6hni2dW2Laq4urqa2u5Zo515BhnljTTpPVkVtZd3e76BzwYTaMcIdMoA/2PhkZ/ej5W2y7wQ5Tl0P5ChrVBTz71m4qLHYCngChsIrRcvg/ZaNeh9sfIhBWyUozypZZIURKG/Uake7ubg4cODDsNRUVFYM7Y9ra2li8eDFf+tKXePDBB9Hpjl3r4mgjImVlZeNmjYimaWzYv4G6jXU8+dmTeEPRWyjTTelcP/d6aqprqCquSlIvRbwdqqx63GkJNQht6yPho/UFUAPR7YoOir4W2fUyZRkYIiMMR65H0TTYsOcAFqMesyHy35Y/FMYXVPlyRS6KwsmtTRFCiBMQ1zUi+fn55OePrHZFa2srF1xwAdXV1axZs2bYEAJgNpsxm83DXpOKer29PLTlIeoa6vi8+/OY9kWli6itruWq2VdhNw0trC0mmmGnJTQNejdC00Noex9F8ffEXpM5BypugmnXQVpJTPOR61Eq821kp5nodvow2SLh3+ULUZBhwW7W09jtli2zQoiUFrc1Iq2trSxevJhp06bx29/+lu7uw2eiFBWN/xLkmqbx3t73qG+o56nPn8If9ke1Z5ozuXHejdRU1zCvcF6SeilShrsFmh+JjH4MfAHAkWMkTnLYnXYFOXNXMbXi7KhTboc6cj1KY7eb4kwzA74gnQN+QMNuMVCUYaax2y1bZoUQKS9uQeSNN96gsbGRxsZGpkyZEtWWwB3DY67b3c3aLWtZ3bCaHQd2xLR/ZepXqKmq4dunf5s0owyFT2pBF7Q8EwkfnW8B0f/ug5qJHcavssP6Tb7QzqJ1IEzOpyZuTncdd5vr0PUouTYTmgYKGrk2M6CMffVWIYSIg4TWERmtVKkjomoqbze9TV1DHc9+8SxBNRjVnmPN4ab5N3Fr1a2cnn96knopUoIahq53IuGj5WkIuWMuaTOewVv+i3HkfYOAPnPw85qmsavLxdzSTG47f8aIRjGOXI9iNepRAE8wnNAtsyNeEyOEmDRSto7IeNPh6uDBzQ+yumE1u/t2x7Qvnr6Y2qpavnnaN7EYLEd5BTFpOL6IhI/mh8GzP7bdPgPKb6Qt+0p++0GIrEwj6frowmeKooz6hNpkb5M9sniZLxTGYtAzI9/O0jkyEiOEGBkJIkOomsobu9+grqGOF3a8QEiN3vaYn5bPygUrubXqVk7JPSVJvRQpwdcNex+PBJDeT2LbjVkw7WoovxHyIus+BjoG8IV2HbMU/Hg6oXboacNpJiueQIhtbQ7aHN5hK7oKIcQhEkQOah1oZc3mNaxuWM1ex96Y9q9VfI2aqhqumHUFJr0c2jdphf3Q+lIkfLS9AtqQwKAYoOSSyJbb0stAHz1SZjMZsBj0eAKho5aCHy8n1B7rtOF0ixG72cCuLtewFV2FEOKQ1P5pF2dhNcyrja9S31DPSztfQtXUqPYiexG3LLiFVVWrqMiuSFIvRdJpGvR8eLDU+hOR4mND5VRHwse0a8BScMyXiksp+CQY7rThE5liEkJMXpMyiOxz7OP+hvt5YPMD7B+Ins9XULi48mJqq2v5+syvY9TH/tYqRmbcL2J0NUHTw5EA4mqMaQ6Zi9FX3IhSvgKyZo/oJSfKCbXHO214PE0xCSGSa9IFEU3TuGDtBezpiz4BuDS9lFULV3HLwluYljUtSb2bOMbtIsaAA1qeioSPrvdimoOKlU+5gA/US9kb/BIVfZksLS2kchS3OKlS8CliokwxCSGSb9L9lFAUhZXzV/Lzd36OTtHx9Zlfp7a6losrL8agm3R/HXEx7hYxqiHoeCMSPvY/B2HfkAsUPNnn8YprCe/7zyMnM5c0k4HMk3hP4/2E2okyxSSESL5J+eS9ZeEtANy88GamZEw5ztViNMbVIsa+LQe33D4Cvs7Y9oxZUL4Cdep1rPk4yLYDjjF9T8neensyJsoUkxAi+SZlECnNKOVn5/8s2d2YkFJ+EaO3HZofjQSQ/k9j2825MO3ayMLTnDNAUWjt9bC7e2fqvqckmQhTTEKI5JuUQUTET0ouYgx5YP/zkfDR8ToM2R2Fzgill0fCR/ElMGR7dkq+pxQx3qeYhBDJJ0FEjKmUWcSoqZHFpk0Pwb4/Q8gZe0nul+grvIae3Cuw2gqO+QBNmfeUosbzFJMQIvkm509OETdJX8Q4sDMSPpofAndsYTps02D6jezN+CYvNWWwe4cLX+gAFkP/MXf1JP09CSHEBCZBRIyppCxi9PdGCo3tWQcHPoxtN6TD1OWRqZeCc2nsdh/c1eMY0a4eWZgphBDxI0FEjLmELGIMB6D91ci6j9YXYciJyCg6KLoocs7LlGVgiEwdnOiuHlmYKYQQ8SFBRMRFXBYxalrkcLmmdbD3MfAfiL0ma35k5GP6tWAtjmk+mV09sjDzsHFfNVcIkTIkiIi4GbNFjO59kVofTetgYHtsu6UIpl8XCSDZ84d/qZPcASMLM8dx1VwhREqSICJSU9AJLc9Ewkfn24AW3a63wJRvRsJH0RIYYVVc2QFzcsZd1VwhRMqTn7Yidahh6Hwzsuul5RkIe2KvKTg/Ej7KrgRT5qhvITtgTty4qporhBg3JIiI5OvfdrjUurcttj195sF1HzeAffpJ3Up2wJy4lK+aK4QYlySIiOTwdUHzY5EA0tcQ227KhmnXRAJI7iJQxi4YyA6YEyMVZoUQ8SBBRCRO2Af7X4iEj/b1oIWj2xUDlFwaCR+ll4HePKKXPZEdHLIDZvRkfY0QIh7kJ4aIL02D7g8i4WPfkxB0xF6Tc0YkfEy7Biz5o3r5k9nBITtgRkfW1wgh4kGCiIgP525ofjgSQFx7YtvTpkTWfJTfCJmnn9AtZAdHYsn6GiFEPEgQEWMn0B8Z9WhaFxkFGcpgi+x2KV8BBYtBpz/hW8kOjuSQ9TVCiLEmQUScHDUI7a9Fwsf+F0D1D7lAgcKvQsVNkbofRvuY3FZ2cCSPrK8RQowlCSJi9DQN+jYd3HL7KPi7Y6/JPB3Kb4pUPE2bMuZdkB0cySXra4QQY0WCiBg5T+vhUuuOz2LbzflHlFpfOKZbboeSHRxCCDExyE9pMbyQG1qejYSPjr8QU2pdZ4IpV0TCR/FS0MWGgniQHRxCCDExSBARsTQVOt+JhI+WpyJhZKj8cyLhY+rySPGxBJMdHEIIMTFIEBGHObYfXPfxMHhaYttt5ZHwUX4DpFcmvn9DyA4OIYQY/ySITHa+Htj3RCSAHPh7bLsxE6ZeFQkg+efEdd3HiZAdHEIIMb5JEJmMwn5oeyUSPtpejmzBPZKih+KLI8XGSr8BhpGtsziRUutjQXZwCCHE+CVBZLLQtMiIR9M62Ps4BHpjr8leeLDU+rVgLRzVy59MqXUhhBCTlwSRic69F5oOllp37oxttxbDtOsiBcey5p7QLaTUuhBCiBMlQWQiCg7Avqcj4aPrndh2vTVS5bTiJii8UEqtCyGESBoJIhOFGo7U+WhaB/ufhbA39prCCyJTL2VXgnFsRiik1LoQQoiTIUFkvOvfenDL7SPgbY9tTz8lMvIx/XqwTRvz20updSGEECdDgsh45O2EvY9GAkjf5th2U05kwWn5Csg9U0qtCyGESFnydBgvQl5ofSESPtpfAy0c3a4zQsllkfBRcinoTQnplpRaF0IIcTIkiKQyTYPu9yPhY9+TkUWoQ+UuOrjl9mow5ya8i1JqXQghxMmQIJKKnI3Q9FDkw90U2542NVJsrPxGyDg18f0bQkqtCyGEOFESRFJFoA/2PhkZ/ej5W2y7wR45YK58BRScB4ou8X0chpRaF0IIcSIkiCSTGoS29ZHw0foCqIHodkUHRV+LhI8py8CQ2ttfpdS6EEKI0ZIgkmiaBn0NsGcd7H0M/N2x12TOiWy5nXYdpJUkvo9CCCFEgkgQSRTP/kitj6Z14Pg8tt1SANOuh4oVkDU/5U65FUIIIeJBgkg8BV2RKqdN66DjTUCLbteZI1Mu5Sug+CLQybdDCCHE5CJPvrGmhiPnuzStg5anIeSOvSb/3Ej4mPptMGUluocTiqpqskBWCCHGMQkiY8XxxcFS6w9HpmGGss+IhI/yG8Bekfj+TUCNXc7BLcO+UBiLQc+MfDtL58iWYSGEGC8kiJwMXzfsfTwSQHo/iW03ZkUKjZWvgLwvy7qPMdTY5WTNB830ugMUZ1pIM1nxBEJsa3PQ5vBy8znTJYwIIcQ4IEFktMJ+aH0pEj7aXgFtyGFuigFKLomEj9LLQG9JTj8nMFXVeG1bJ73uADML7INl5dMtRuxmA7u6XLz+WScVeXaZphFCiBQnQWQkNA16PjxYav2JSPGxoXKqD5ZavyayA0bETWu/l93dkXLyypBRJkVRKM600NjlorXfK3VNhBAixUkQGY6rCZoejgQQV2Nsu7U0suZj+o2QNTvx/Zuk3IEQvlCYNNPRD9KzmvR0DvhwB0JHbRdCCJE6JIgMFXBAy1OR8NH1Xmy7Pg3KrozU+yi4AHT6xPdxkrOZDFgMejyBEOkWY0y7NxDGbNBjM8k/byGESHUJ+Unt9/tZtGgRW7ZsYdOmTSxYsCARtx05NQQdb0TCx/7nIOwbcoEChV+NTL2UfQuM9mT0UhxUmmVlRr6dbW0O7GZD1PSMpmm0O3zMLc2kNOvoIyZCCCFSR0KCyD//8z9TUlLCli1bEnG7kevbcnDL7SPg64xtz5gF5TfB9OvBVpb4/omj0ukUls4ppM3hZVdXZK2I1aTHGwjT7vCRYzNx0exCAFp6PVJjRAghUljcg8irr77K66+/ztNPP82rr74a79sdn6bBjnthz4PQ/2lsuzkPpl0bGf3IqZYttymqsiCdm8+ZPlhHpHPAh9mgZ25p5mAIue+d3VJjRAghUlxcg0hnZyc1NTU899xzpKUdf/eC3+/H7/cP/nlgYGDsO6Uoke23R4YQnQlKLz9Yav1i0JvG/r5izFUWpFOx2B5TWXVPj0tqjAghxDihi9cLa5rGypUrue222zjjjDNG9DV33303mZmZgx9lZXGaDilfEfnfvC/DmffBN9vh3KdgyjckhIwzOp1CWU4as4oyBrfqrt/Wwf4+D9lpRjQNdEqkxsjMAju97gCvf9aJqmrHeWUhhBCJMOog8uMf/xhFUYb92L59O7///e9xOp3cddddI37tu+66C4fDMfjR0tIy2u6NzNRvw2U74aK/wczbwJwTn/uIhPvb7h5e2drO/j4vf2/uZcOeA3zS3Eev2x9TY0QIIUTyjXpq5oc//CErV64c9pqKigreeustNmzYgNlsjmo744wzuP7661m7dm3M15nN5pjr48Jgg4yZ8b+PSKjGLieP/n0fB9wBCjPMmA16gmGVLqcPpz/IgrIsMqxGqTEihBApZNRBJD8/n/z8/ONe9z//8z/8+te/HvxzW1sbS5cu5YknnmDRokWjva0QwzpU9t3tD5FtNaJTdOgUBbNBj8mmo9cdYHe3m1ML7VJjRAghUkjcfhpPnTo16s92e6T2xowZM5gyZUq8bismqUNl3yvybARCGt1OHyabaXC60G4xcMDlZ49eYVF5rtQYEUKIFBG3xapCJNKhsu82s5HKAjtWk4FedwB/KIyqaagaOLxB7GYDF80ulHoiQgiRIhI2Pj19+nQ0TXYqiPg4sux7js3EgrIsGrtc9HkCuPwhNA1ybGauOWuqbN0VQogUIhPlYkIYWvY9x2bizOnZOH0h/KEwrf1ezpqewzkz8pLdVSGEEEeQqRkxIRwq+55jM7Gry4XTFySsaSgK9HmCTMlOY+mcIpmSEUKIFCNBREwYh8q+zynJpN8TpLnHTb8nyNzSTKmmKoQQKUqmZsSEcqyy7zISIoQQqUmCiJhwDpV9F0IIkfpkakYIIYQQSSMjIpOQqmq09ntx+oO4fCHsZgPpFqNMYQghhEg4CSKTTGOXk9e2dbKppY99vR68gTBWo56puWksLMtm6ZxCWdQphBAiYSSITCKNXU7WfNDMvgMeupw+wmGNdIsBfzDM/j4P/pBKm8MrO0yEEEIkjKwRmSQOHQp3wOUnpKqEVY1cu4l0i5Fcu5lQWCMUVjngCvD6Z52oqlTBFUIIEX8SRCaJQ4fCpVsM9HmC2C1GFCWyHuTQoXB9niDpFgONXS5a+71J7rEQQojJQILIJHHoUDi9TkcorGLURy9KNep1hFUVvU7BHwrjDoSS1FMhhBCTiQSRSeLQoXBhVcWg1xEMR0+9BMMqep2OsKphNuixmWT5kBBCiPiTIDJJHDoUzukLkZ1mxOULDp6GrGkaroOfd/pCVBbYKc2yJrnHQgghJgP5tXeSOHQoXJvDi9sfRq9TOOAKYDbq8AfDGPQ6DHoduXYTF80ulHoiQgghEkJGRCaRQ4fCfakil7KcNAx6BacvhEGvoywnjS9X5MrWXSGEEAklIyKTzJGHwkllVSGEEMkmQWQSkkPhhBBCpAqZmhFCCCFE0kgQEUIIIUTSyNSMiHLoZF53IITNZJB1I0IIIeJKgogYdOhk3t3dLnyhMBaDnhn5djmRVwghRNxIEBHA4ZN5e90BijMtpJmseAIhtrU55EReIYQQcSNrRMTgyby97gAzC+ykW4zodQrpFiMzC+z0uuVEXiGEEPEhQUQMnsxbnGkZPJH3EEVRKM60yIm8Qggh4kKCiBg8mTftGAfdWU16OZFXCCFEXEgQEYMn83qOETS8gbCcyCuEECIuJIiIwZN52x2+wRN5D9E0jXaHT07kFUIIERcSRMTgybw5NhO7ulw4fUFCqorTF2RXl4scm5zIK4QQIj4kiAjg8Mm8c0oy6fcEae5x0+8JMrc0U7buCiGEiBuZ9BeDjjyZVyqrCiGESAQJIiKKnMwrhBAikWRqRgghhBBJI0FECCGEEEkjQUQIIYQQSSNBRAghhBBJI0FECCGEEEkjQUQIIYQQSSNBRAghhBBJI0FECCGEEEkjQUQIIYQQSSNBRAghhBBJI0FECCGEEEkjQUQIIYQQSSNBRAghhBBJI0FECCGEEEkjQUQIIYQQSSNBRAghhBBJI0FECCGEEEkjQUQIIYQQSSNBRAghhBBJI0FECCGEEEkT1yDy8ssvs2jRIqxWK9nZ2SxbtiyetxNCCCHEOGOI1ws//fTT1NTU8B//8R989atfJRQKsW3btnjdTgghhBDjUFyCSCgU4vvf/z733HMPq1atGvz86aefHo/bCSGEEGKcisvUTENDA62treh0OhYuXEhxcTGXXHLJcUdE/H4/AwMDUR9CCCGEmLjiEkT27NkDwL/927/xr//6r7z00ktkZ2ezePFient7j/l1d999N5mZmYMfZWVl8eieEEIIIVLEqILIj3/8YxRFGfZj+/btqKoKwE9/+lOuvPJKqqurWbNmDYqi8Oc///mYr3/XXXfhcDgGP1paWk7u3QkhhBAipY1qjcgPf/hDVq5cOew1FRUVtLe3A9FrQsxmMxUVFezbt++YX2s2mzGbzaPp0glRVY3Wfi/uQAibyUBplhWdTon7fYUQQggRbVRBJD8/n/z8/ONeV11djdlsZseOHXzlK18BIBgM0tzczLRp006sp2OkscvJa9s62d3twhcKYzHomZFvZ+mcQioL0pPaNyGEEGKyicuumYyMDG677TZ+8YtfUFZWxrRp07jnnnsAWL58eTxuOSKNXU7WfNBMrztAcaaFNJMVTyDEtjYHbQ4vN58zXcKIEEIIkUBxqyNyzz33YDAYuPHGG/F6vSxatIi33nqL7OzseN1yWKqq8dq2TnrdAWYW2FGUyFRMusWI3WxgV5eL1z/rpCLPLtM0QgghRIIomqZpye7EsQwMDJCZmYnD4SAjI+OkXqul18Pv3thJVpqRdIsxpt3pC9LvCfKDr51CWU7aSd1LCCGEmMxG8/yeNGfNuAMhfKEwaaajDwJZTXr8oTDuQCjBPRNCCCEmr0kTRGwmAxaDHs8xgoY3EMZs0GM7RlARQgghxNibNEGkNMvKjHw77Q4fQ2ejNE2j3eGjssBOaZY1ST0UQgghJp9JE0R0OoWlcwrJsZnY1eXC6QsSUlWcviC7ulzk2ExcNLtQFqoKIYQQCTRpgghAZUE6N58znTklmfR7gjT3uOn3BJlbmilbd4UQQogkmHQLIioL0qlYbJfKqkIIIUQKmHRBBCLTNLJFVwghhEi+STU1I4QQQojUIkFECCGEEEkjQUQIIYQQSSNBRAghhBBJI0FECCGEEEkjQUQIIYQQSSNBRAghhBBJI0FECCGEEEkjQUQIIYQQSZPSlVUPnZI7MDCQ5J4IIYQQYqQOPbeHnnZ/NCkdRJxOJwBlZWVJ7okQQgghRsvpdJKZmTnsNYo2kriSJKqq0tbWRnp6Oooih9KNhYGBAcrKymhpaSEjIyPZ3RHI9yQVyfck9cj3JPUM9z3RNA2n00lJSQk63fCrQFJ6RESn0zFlypRkd2NCysjIkP+YU4x8T1KPfE9Sj3xPUs+xvifHGwk5RBarCiGEECJpJIgIIYQQImkkiEwyZrOZX/ziF5jN5mR3RRwk35PUI9+T1CPfk9QzVt+TlF6sKoQQQoiJTUZEhBBCCJE0EkSEEEIIkTQSRIQQQgiRNBJEhBBCCJE0EkQmsebmZlatWkV5eTlWq5UZM2bwi1/8gkAgkOyuTVr/9//+X84++2zS0tLIyspKdncmpT/84Q9Mnz4di8XCokWL+Pvf/57sLk1q7733HpdffjklJSUoisJzzz2X7C5NanfffTdnnnkm6enpFBQUsGzZMnbs2HFSrylBZBLbvn07qqrypz/9ic8++4zf/e53/PGPf+QnP/lJsrs2aQUCAZYvX853vvOdZHdlUnriiSe48847+cUvfkFDQwPz589n6dKldHV1Jbtrk5bb7Wb+/Pn84Q9/SHZXBPDuu+9y++238+GHH/LGG28QDAa56KKLcLvdJ/yasn1XRLnnnnu477772LNnT7K7Mqk9+OCD3HHHHfT39ye7K5PKokWLOPPMM/nf//1fIHLeVVlZGd/73vf48Y9/nOTeCUVRePbZZ1m2bFmyuyIO6u7upqCggHfffZfzzjvvhF5DRkREFIfDQU5OTrK7IUTCBQIBNm7cyJIlSwY/p9PpWLJkCRs2bEhiz4RIXQ6HA+CknhsSRMSgxsZGfv/73/MP//APye6KEAnX09NDOBymsLAw6vOFhYV0dHQkqVdCpC5VVbnjjjs455xzmDNnzgm/jgSRCejHP/4xiqIM+7F9+/aor2ltbeXiiy9m+fLl1NTUJKnnE9OJfD+EECLV3X777Wzbto3HH3/8pF7HMEb9ESnkhz/8IStXrhz2moqKisH/39bWxgUXXMDZZ59NXV1dnHs3+Yz2+yGSIy8vD71eT2dnZ9TnOzs7KSoqSlKvhEhN3/3ud3nppZd47733mDJlykm9lgSRCSg/P5/8/PwRXdva2soFF1xAdXU1a9asQaeTQbKxNprvh0gek8lEdXU1b7755uBiSFVVefPNN/nud7+b3M4JkSI0TeN73/sezz77LO+88w7l5eUn/ZoSRCax1tZWFi9ezLRp0/jtb39Ld3f3YJv8Bpgc+/bto7e3l3379hEOh9m8eTMAlZWV2O325HZuErjzzju56aabOOOMMzjrrLO49957cbvd3Hzzzcnu2qTlcrlobGwc/HNTUxObN28mJyeHqVOnJrFnk9Ptt9/Oo48+yvPPP096evrg+qnMzEysVuuJvagmJq01a9ZowFE/RHLcdNNNR/1+vP3228nu2qTx+9//Xps6dapmMpm0s846S/vwww+T3aVJ7e233z7qfxM33XRTsrs2KR3rmbFmzZoTfk2pIyKEEEKIpJEFAUIIIYRIGgkiQgghhEgaCSJCCCGESBoJIkIIIYRIGgkiQgghhEgaCSJCCCGESBoJIkIIIYRIGgkiQgghhEgaCSJCCCGESBoJIkIIIYRIGgkiQgghhEgaCSJCCCGESJr/H/AkSHxZbeyyAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "## plot Check Loss with epsilon results\n", + "import pandas as pd\n", + "import warnings\n", + "import matplotlib.pyplot as plt\n", + "\n", + "warnings.filterwarnings(\"ignore\", \"is_categorical_dtype\")\n", + "\n", + "# Parameters\n", + "epsilon = 0.3\n", + "\n", + "# Fit Check Loss with epsilon (two quantiles)\n", + "clf05 = plq_Ridge_Regressor(loss={'name': 'check_eps', 'qt': 0.05, 'epsilon': epsilon}, C=10.0/n)\n", + "clf05.fit(X=X, y=y)\n", + "\n", + "clf95 = plq_Ridge_Regressor(loss={'name': 'check_eps', 'qt': 0.95, 'epsilon': epsilon}, C=10.0/n)\n", + "clf95.fit(X=X, y=y)\n", + "\n", + "# Plot\n", + "n_sample = 100\n", + "X_sample, y_sample = X[:n_sample], y[:n_sample]\n", + "q05_sample = clf05.predict(X_sample)\n", + "q95_sample = clf95.predict(X_sample)\n", + "\n", + "# sort by x0\n", + "sort_idx = np.argsort(X_sample[:,0])\n", + "x0_sorted = X_sample[sort_idx, 0]\n", + "y_sorted = y_sample[sort_idx]\n", + "q05_sorted = q05_sample[sort_idx]\n", + "q95_sorted = q95_sample[sort_idx]\n", + "\n", + "plt.scatter(x0_sorted, y_sorted, alpha=0.5, label='real_y')\n", + "plt.plot(x0_sorted, q05_sorted, 'orange', linewidth=2, label='q05')\n", + "plt.plot(x0_sorted, q95_sorted, 'green', linewidth=2, label='q95')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "TkV1yRASA2x_" + }, + "source": [ + "Epsilon creates a tolerance zone where small residuals incur zero loss, so the model only penalizes deviations exceeding this threshold.\n", + "\n", + "This produces tighter quantile intervals and more robust estimates, suitable for scenarios where small errors are acceptable but large deviations matter." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 97 + }, + "id": "ElZCOJ2lB0mP", + "outputId": "b1c6058b-7a1d-41d0-8742-0a515a56bd50" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
plq_Ridge_Regressor(C=0.005,\n",
+              "                    loss={'epsilon': 0.2, 'name': 'check_eps', 'qt': 0.95})
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" + ], + "text/plain": [ + "plq_Ridge_Regressor(C=0.005,\n", + " loss={'epsilon': 0.2, 'name': 'check_eps', 'qt': 0.95})" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "## Comparison: Original QR vs Check Loss with epsilon\n", + "import numpy as np\n", + "import pandas as pd\n", + "import warnings\n", + "import matplotlib.pyplot as plt\n", + "from rehline import plq_Ridge_Regressor\n", + "\n", + "warnings.filterwarnings(\"ignore\", \"is_categorical_dtype\")\n", + "\n", + "# Parameters\n", + "epsilon = 0.2\n", + "\n", + "# Fit original QR\n", + "clf_qr05 = plq_Ridge_Regressor(loss={'name': 'QR', 'qt': 0.05}, C=10.0/n)\n", + "clf_qr05.fit(X=X, y=y)\n", + "\n", + "clf_qr95 = plq_Ridge_Regressor(loss={'name': 'QR', 'qt': 0.95}, C=10.0/n)\n", + "clf_qr95.fit(X=X, y=y)\n", + "\n", + "# Fit Check Loss with epsilon\n", + "clf_eps05 = plq_Ridge_Regressor(loss={'name': 'check_eps', 'qt': 0.05, 'epsilon': epsilon}, C=10.0/n)\n", + "clf_eps05.fit(X=X, y=y)\n", + "\n", + "clf_eps95 = plq_Ridge_Regressor(loss={'name': 'check_eps', 'qt': 0.95, 'epsilon': epsilon}, C=10.0/n)\n", + "clf_eps95.fit(X=X, y=y)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 365 + }, + "id": "Q3fIo_UwC7yN", + "outputId": "89f16045-0070-4238-d335-109749350245" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Plot\n", + "n_sample = 300\n", + "X_sample, y_sample = X[:n_sample], y[:n_sample]\n", + "\n", + "sort_idx = np.argsort(X_sample[:,0])\n", + "x0_sorted = X_sample[sort_idx, 0]\n", + "y_sorted = y_sample[sort_idx]\n", + "\n", + "qr05_sorted = clf_qr05.predict(X_sample)[sort_idx]\n", + "qr95_sorted = clf_qr95.predict(X_sample)[sort_idx]\n", + "eps05_sorted = clf_eps05.predict(X_sample)[sort_idx]\n", + "eps95_sorted = clf_eps95.predict(X_sample)[sort_idx]\n", + "\n", + "plt.figure(figsize=(10, 6))\n", + "plt.scatter(x0_sorted, y_sorted, alpha=0.5, label='real_y')\n", + "plt.plot(x0_sorted, qr05_sorted, 'orange', linewidth=2, label='QR_05')\n", + "plt.plot(x0_sorted, qr95_sorted, 'orange', linewidth=2, linestyle='--', label='QR_95')\n", + "plt.plot(x0_sorted, eps05_sorted, 'green', linewidth=2, label='QR_eps_05')\n", + "plt.plot(x0_sorted, eps95_sorted, 'green', linewidth=2, linestyle='--', label='QR_eps_95')\n", + "plt.legend()\n", + "plt.title(f'Original QR vs Check Loss with epsilon (eps={epsilon})')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "aC9eaV0NEFRE" + }, + "source": [ + "## With Pipeline\n", + "`plq_Ridge_Regressor` can be integrated into a scikit-learn Pipeline to streamline preprocessing including scaling." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "id": "NfN2cR3wEoOk" + }, + "outputs": [], + "source": [ + "# Simulate Data\n", + "import numpy as np\n", + "\n", + "np.random.seed(42)\n", + "n = 2000\n", + "x = np.random.randn(n)\n", + "noise = np.random.randn(n) * (0.3 + 0.5 * np.abs(x))\n", + "y = 2 * x + noise\n", + "X = x.reshape(-1, 1)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 155 + }, + "id": "X0SBCPmSFPH6", + "outputId": "7656d2e6-1a90-4c97-f285-3762fe905c7c" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
Pipeline(steps=[('scaler', StandardScaler()),\n",
+              "                ('reg',\n",
+              "                 plq_Ridge_Regressor(C=0.005,\n",
+              "                                     loss={'epsilon': 0.3, 'name': 'check_eps',\n",
+              "                                           'qt': 0.95}))])
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" + ], + "text/plain": [ + "Pipeline(steps=[('scaler', StandardScaler()),\n", + " ('reg',\n", + " plq_Ridge_Regressor(C=0.005,\n", + " loss={'epsilon': 0.3, 'name': 'check_eps',\n", + " 'qt': 0.95}))])" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Fit Check Loss with epsilon (two quantiles)\n", + "from sklearn.pipeline import Pipeline\n", + "from sklearn.pipeline import Pipeline\n", + "from sklearn.preprocessing import StandardScaler\n", + "from rehline import plq_Ridge_Regressor\n", + "\n", + "epsilon = 0.3\n", + "\n", + "pipe5 = Pipeline([\n", + " ('scaler', StandardScaler()),\n", + " ('reg', plq_Ridge_Regressor(\n", + " loss={'name': 'check_eps', 'qt': 0.05, 'epsilon': epsilon}, C=10.0/n\n", + " ))\n", + "])\n", + "pipe5.fit(X=X, y=y)\n", + "\n", + "pipe95 = Pipeline([\n", + " ('scaler', StandardScaler()),\n", + " ('reg', plq_Ridge_Regressor(\n", + " loss={'name': 'check_eps', 'qt': 0.95, 'epsilon': epsilon}, C=10.0/n\n", + " ))\n", + "])\n", + "pipe95.fit(X=X, y=y)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 429 + }, + "id": "tnAZa4VCFb5-", + "outputId": "f19104c4-f2ca-49c6-cfbe-1a17f8ba8387" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Plot\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "n_sample = 100\n", + "X_sample, y_sample = X[:n_sample], y[:n_sample]\n", + "q05_sample = pipe5.predict(X_sample)\n", + "q95_sample = pipe95.predict(X_sample)\n", + "\n", + "sort_idx = np.argsort(X_sample[:, 0])\n", + "x0_sorted = X_sample[sort_idx, 0]\n", + "y_sorted = y_sample[sort_idx]\n", + "q05_sorted = q05_sample[sort_idx]\n", + "q95_sorted = q95_sample[sort_idx]\n", + "\n", + "plt.scatter(x0_sorted, y_sorted, alpha=0.5, label='real_y')\n", + "plt.plot(x0_sorted, q05_sorted, color='orange', linewidth=2, label='q05')\n", + "plt.plot(x0_sorted, q95_sorted, color='green', linewidth=2, label='q95')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Ee2clmrGFt9b" + }, + "source": [ + "## Hyperparameter Tuning with GridSearchCV\n", + "\n", + "Due to its compatibility with the scikit-learn API, `GridSearchCV` can be applied to determine the optimal hyperparameters for the ReHLine model." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "tl_UV_G1F48c", + "outputId": "f582a69a-8dae-419b-a57e-7a9dc9a06aa1" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best Parameters (qt=0.05): {'reg__C': 0.05}\n", + "Best CV Score (qt=0.05): 0.0911\n", + "Best Parameters (qt=0.95): {'reg__C': 0.05}\n", + "Best CV Score (qt=0.95): 0.0931\n" + ] + } + ], + "source": [ + "from sklearn.model_selection import GridSearchCV\n", + "from sklearn.metrics import make_scorer, mean_pinball_loss\n", + "import warnings\n", + "warnings.filterwarnings(\"ignore\")\n", + "\n", + "# Define the parameter grid to search\n", + "param_grid = {'reg__C': [1.0/n, 10.0/n, 100.0/n]}\n", + "\n", + "# Use pinball loss\n", + "scorer05 = make_scorer(mean_pinball_loss, alpha=0.05, greater_is_better=False)\n", + "scorer95 = make_scorer(mean_pinball_loss, alpha=0.95, greater_is_better=False)\n", + "\n", + "# Create the GridSearchCV objects\n", + "grid_search5 = GridSearchCV(pipe5, param_grid, cv=5, scoring=scorer05)\n", + "grid_search95 = GridSearchCV(pipe95, param_grid, cv=5, scoring=scorer95)\n", + "\n", + "grid_search5.fit(X, y)\n", + "grid_search95.fit(X, y)\n", + "\n", + "# Print the best parameters and scores\n", + "print(f\"Best Parameters (qt=0.05): {grid_search5.best_params_}\")\n", + "print(f\"Best CV Score (qt=0.05): {-grid_search5.best_score_:.4f}\")\n", + "\n", + "print(f\"Best Parameters (qt=0.95): {grid_search95.best_params_}\")\n", + "print(f\"Best CV Score (qt=0.95): {-grid_search95.best_score_:.4f}\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 442 + }, + "id": "bwhb190FGHcW", + "outputId": "8aa9eecb-9aa2-4539-b487-3c0776444044" + }, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Plot\n", + "n_sample = 100\n", + "X_sample, y_sample = X[:n_sample], y[:n_sample]\n", + "q05_sample = grid_search5.predict(X_sample)\n", + "q95_sample = grid_search95.predict(X_sample)\n", + "\n", + "sort_idx = np.argsort(X_sample[:, 0])\n", + "x0_sorted = X_sample[sort_idx, 0]\n", + "y_sorted = y_sample[sort_idx]\n", + "q05_sorted = q05_sample[sort_idx]\n", + "q95_sorted = q95_sample[sort_idx]\n", + "\n", + "plt.scatter(x0_sorted, y_sorted, alpha=0.5, label='real_y')\n", + "plt.plot(x0_sorted, q05_sorted, color='orange', linewidth=2, label='q05')\n", + "plt.plot(x0_sorted, q95_sorted, color='green', linewidth=2, label='q95')\n", + "plt.title(f\"check Loss with eqsilon(eps={epsilon}, C05=100.0/n, C95=100.0/n)\")\n", + "plt.legend()\n", + "plt.show()" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "name": "python" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/doc/source/examples/QR_new.ipynb b/doc/source/examples/QR_new.ipynb new file mode 100644 index 0000000..3638630 --- /dev/null +++ b/doc/source/examples/QR_new.ipynb @@ -0,0 +1,1217 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "MFDBSDOzXDVt" + }, + "source": [ + "# Ridge Quantile Regression\n", + "\n", + "[![Slides](https://img.shields.io/badge/🦌-ReHLine-blueviolet)](https://rehline-python.readthedocs.io/en/latest/)\n", + "\n", + "The regularized quantile regression solves the following optimization problem:\n", + "\n", + "$$\n", + "\\min_{\\mathbf{\\beta} \\in \\mathbb{R}^d} C \\sum_{i=1}^n \\rho_\\kappa (y_i - \\mathbf{x}_i^\\top \\mathbf{\\beta}) + \\frac{1}{2} \\|\\mathbf{\\beta}\\|^2,\n", + "$$\n", + "\n", + "where $\\rho_\\kappa(u) = u \\cdot (\\kappa - \\mathbf{1}(u < 0))$ is the check loss, $\\mathbf{x}_i \\in \\mathbb{R}^d$ is a feature vector, $y_i \\in \\mathbb{R}$ is the response variable." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "> **Note.** Since the check loss is a plq function, we can optimize it using `rehline.plq_Ridge_Regressor`. \n", + "> Moreover, this wrapper adapts the `plqERM_Ridge` into a regressor, compatible with the scikit-learn API." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "rTzmChto1ltC" + }, + "outputs": [], + "source": [ + "## install rehline\n", + "%pip install rehline -q" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "BWLs6_gP1YHE" + }, + "outputs": [], + "source": [ + "## simulate data\n", + "from sklearn.datasets import make_regression\n", + "from sklearn.preprocessing import StandardScaler\n", + "import numpy as np\n", + "\n", + "scaler = StandardScaler()\n", + "\n", + "n, d = 10000, 5\n", + "X, y = make_regression(n_samples=n, n_features=d, noise=1.0, random_state=42)\n", + "X = scaler.fit_transform(X)\n", + "y = y / y.std()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 80 + }, + "id": "L8KI3Odl4l_Z", + "outputId": "1d6664a6-aef8-4bc4-dbda-9e07a1eee914" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
plq_Ridge_Regressor(C=0.001, loss={'name': 'QR', 'qt': 0.95})
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" + ], + "text/plain": [ + "plq_Ridge_Regressor(C=0.001, loss={'name': 'QR', 'qt': 0.95})" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "## solve QR with different `qt` via `plq_Ridge_Regressor`\n", + "from rehline import plq_Ridge_Regressor\n", + "\n", + "clf5 = plq_Ridge_Regressor(loss={'name': 'QR', 'qt': 0.05}, C=10.0/n)\n", + "clf5.fit(X=X, y=y)\n", + "\n", + "clf95 = plq_Ridge_Regressor(loss={'name': 'QR', 'qt': 0.95}, C=10.0/n)\n", + "clf95.fit(X=X, y=y)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 445 + }, + "id": "WR-5hLZe4oEE", + "outputId": "c83dface-a593-4d27-d6bf-108ee75e09fb" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "## plot QR results\n", + "import pandas as pd\n", + "import seaborn as sns\n", + "import warnings\n", + "import matplotlib.pyplot as plt\n", + "warnings.filterwarnings(\"ignore\", \"is_categorical_dtype\")\n", + "\n", + "n_sample = 50\n", + "X_sample, y_sample = X[:n_sample], y[:n_sample]\n", + "q05_sample = clf5.predict(X_sample)\n", + "q95_sample = clf95.predict(X_sample)\n", + "\n", + "df = pd.DataFrame({'x0': X_sample[:,0], 'real_y': y_sample, 'q05': q05_sample, 'q95': q95_sample})\n", + "df = df.melt(id_vars='x0')\n", + "\n", + "sns.scatterplot(data=df, x='x0', y='value', hue='variable').set_title('Ridge Quantile Regression')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "t7sHr3zkZaxi" + }, + "source": [ + "## With Pipeline\n", + "`plq_Ridge_Regressor` can be integrated into a scikit-learn Pipeline to streamline preprocessing including scaling." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "id": "eezf3egK8S32" + }, + "outputs": [], + "source": [ + "## simulate data\n", + "from sklearn.datasets import make_regression\n", + "from sklearn.preprocessing import StandardScaler\n", + "from sklearn.pipeline import Pipeline\n", + "import numpy as np\n", + "\n", + "n, d = 10000, 5\n", + "X, y = make_regression(n_samples=n, n_features=d, noise=1.0, random_state=42)\n", + "y = y / y.std()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 155 + }, + "id": "t99I5I5E8s0S", + "outputId": "c764a030-3b39-4ebd-8f45-ebe7d11a6873" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
Pipeline(steps=[('scaler', StandardScaler()),\n",
+              "                ('reg',\n",
+              "                 plq_Ridge_Regressor(C=0.001,\n",
+              "                                     loss={'name': 'QR', 'qt': 0.95}))])
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" + ], + "text/plain": [ + "Pipeline(steps=[('scaler', StandardScaler()),\n", + " ('reg',\n", + " plq_Ridge_Regressor(C=0.001,\n", + " loss={'name': 'QR', 'qt': 0.95}))])" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "## solve QR with different `qt` via `plq_Ridge_Regressor`\n", + "from rehline import plq_Ridge_Regressor\n", + "\n", + "pipe5 = Pipeline([\n", + " ('scaler', StandardScaler()),\n", + " ('reg', plq_Ridge_Regressor(loss={'name': 'QR', 'qt': 0.05}, C=10.0/n))\n", + "])\n", + "pipe5.fit(X=X, y=y)\n", + "\n", + "pipe95 = Pipeline([\n", + " ('scaler', StandardScaler()),\n", + " ('reg', plq_Ridge_Regressor(loss={'name': 'QR', 'qt': 0.95}, C=10.0/n))\n", + "])\n", + "pipe95.fit(X=X, y=y)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 445 + }, + "id": "D0n0ZqKC8uoj", + "outputId": "84e05d15-7649-4f83-e4cb-1fe839dcf1f3" + }, + "outputs": [ + { + "data": { + "image/png": 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xYl555RVeeeUVtm3bRvfu3Zk2bRqtWrUiLS2NAwcO8Msvv1iSkgceeIB33nmH8ePH89hjjxEWFsaaNWssLS/laQEr72fghRdeYMeOHQwbNoyGDRty+fJl3nvvPerXr0+vXr0AuOWWWwgNDeXGG28kJCSEEydO8M477zBs2DCbg+qDgoKYN28eCxYsYPDgwdx2221ER0fz3nvv0bVrV6uB0ULYncPmqwlRC12ZNrx3794SdSaTSYmKilKioqKUoqIiRVFKTidXFEU5d+6ccttttyl6vV4JDAxUHnvsMWXTpk0lpkoriqK8/fbbSsOGDRWtVqt069ZN2blzp9K5c2dl8ODBVscZjUbl1VdfVVq3bq1otVrFz89P6dy5s7JgwQIlMzOzXK/tu+++UwYOHKj4+voqgAIorVu3tnn+m2++qdSrV0/RarXKjTfeqOzbt6/E6zWbzcrLL79seQ0dO3ZUNm7cqEyaNElp2LCh5bgr0+dff/31EvfhqinxRUVFyiOPPKIEBQUpKpXKair91cdePc37im3btimDBg1SfHx8FHd3dyUqKkqZPHmysm/fvjLfoyvT57/88stS6/v166d4e3srGRkZiqIoSlJSkjJjxgwlIiJCcXV1VUJDQ5UBAwYoy5Ytszrv7NmzyrBhwxSdTqcEBQUpc+bMUb7++msFUHbv3m05rm/fvjantpfnM7B161ZlxIgRSnh4uOLm5qaEh4cr48ePV06dOmW5zgcffKD06dNHCQgIULRarRIVFaXMnTvX6nNg63195513lBYtWiiurq5KSEiIMn36dCU9Pd3qGFuv4erPhBBVRaUoMvpMiNrCbDYTFBTEqFGjKtR1UhlTp07l448/5sMPP2Tq1KnVei9R0uLFi5k1axYXL16kXr16jg5HCKclXWNCOKmCggK0Wq1V18iqVatIS0srscVGdfjggw9ISkpi+vTphIeHM3To0Gq/Z12Vn59vNRusoKCADz74gKZNm0oSJMR1khYhIZzU9u3bmTVrFmPGjCEgIIADBw7w8ccf07JlS/bv3+8UG7qK8hkyZAgNGjSgQ4cOZGZm8umnn3Ls2DHWrFlT5rYWQohrkxYhIZxUo0aNiIiI4O233yYtLQ1/f38mTpzIK6+8IklQLTNo0CA++ugj1qxZg8lkolWrVqxbt46xY8c6OjQhnJ60CAkhhBCizpJ1hIQQQghRZ0kiJIQQQog6S8YIXYPZbCYhIQEvL6/rWrpfCCGEEPajKArZ2dmEh4dbbXp8NUmEriEhIaHMTSmFEEIIUXNduHCB+vXr26yXROgariwZf+HCBby9vR0cjRBCCCHKIysri4iICJtbv1whidA1XOkO8/b2lkRICCGEcDLXGtYig6WFEEIIUWdJIiSEEEKIOksSISGEEELUWZIICSGEEKLOkkRICCGEEHWWUyVCO3bsYPjw4YSHh6NSqdiwYUOZx2/fvh2VSlXikZiYaJ+AhRBCCFGjOVUilJubS/v27Xn33XcrdF50dDSXLl2yPIKDg6spQiGEEEI4E6daR2jIkCEMGTKkwucFBwfj6+tb9QEJIYQQwqk5VYtQZXXo0IGwsDBuvvlmdu7c6ehwhBBCCFFDOFWLUEWFhYWxdOlSunTpgsFg4KOPPqJfv37s2bOHTp06lXqOwWDAYDBYnmdlZdkrXCGEEKJOycgzUmgyo3dzwUPrmJSkVidCzZs3p3nz5pbnPXv25MyZMyxatIjVq1eXes7ChQtZsGCBvUIUQggh6pyMPCOXcpKIz0kgJT+Vht4NCPUIIswrEHdXjV1jqdWJUGm6devGH3/8YbN+3rx5zJ492/L8yqZtQgghhLh+OYZCzmTG8OQfj5KUl2Qp7xLSnWe7L6CxXz27xlMnxgj926FDhwgLC7NZr9VqLRusykarQgghRNVKyb/M47/PsEqCAPYl7WHZkfdJzsm2azxO1SKUk5NDTEyM5XlsbCyHDh3C39+fBg0aMG/ePOLj41m1ahUAixcvJjIyktatW1NQUMBHH33Er7/+yubNmx31EoQQQog67XzWBVLyU0qt+/ncD0xrez9BeNktHqdKhPbt20f//v0tz690YU2aNImVK1dy6dIlzp8/b6k3Go3MmTOH+Ph49Ho97dq145dffrG6hhBCCCHs53J+ks26InMRBlOBHaMBlaIoil3v6GSysrLw8fEhMzNTusmEEEKI6/T35SPc/dNdpdZ5unryxa1fEeF9/eOEyvv9XefGCAkhhCibyWQmISOfmMvZXEjLI7+wyNEhiVokzCOUVv6tSq27r80UwjxC7BqPJEJCCCEs0nIN/H42ntNp5ziTeZKYjDNsPx1HYla+o0MTtUSwRsuibs/Qr15vVKgA0LnoeLjlJEbV64OLxr6jdpxqjJAQQojqU2Qycz7zMr8kLueH2A0UKcUtQe0C2xPo/Txumgj8PbQOjlI4vdxkwj8ewsLOE0m78XXylSK8zGaCDn2O61/rYNKP4GW/PUElERJCCAFASm4eP5xbx7dnv7IqP5zyNy/um83iPh/g72F7+REhyuXS32DMwXPXe3jueq9kfUG6XRMh6RoTQggBQK4pnQ1nvii1LjYzluT8RDtHJGoljWvZ9Sr7piaSCAkhhADAaM6noIypy5fyLtoxGlFrhbQBtY0OqfCOoPOzaziSCAkhhADAw1WHq9r2X+sRXvXtGI2otTyDYdibJcvdPOG2JeARaNdwZIyQEEIIAEL0wYxuOpp10etK1NX3rE+El333gLInQ5GBQnMhelc9ajt3zdQ5bh7QehSEdYA9SyHjPDTqBe3Hg28Du4cjiZAQQggAtC5apjUfR2ZeMpsu/IpC8Xq7Ub5R/O+GBQS76B0cYdXLLMjkbOZZPj3xKWkFafSt34+bGw2knmftTfpqBHdvCO8Aw98GkwFc9aC2767zV8jK0tcgK0sLIeqM7CRYNZys5kNIi+pDWlE+ni7uBKTEErDjLZj8AwQ0dnSUVSbLkMWKoyv46OhHVuX+7v58MngVjXwaOigyURXK+/0tLUJCCCGKFWRAcjTeydF4/7GYRmoNmE3/1CcerlWJUGJuUokkCCCtII3FBxbzUq//4uHq4YDIhD1JR6gQQoj/p7J++u8kCGzP9HFSv13cYbNu24VfSc1Pt2M0wlEkERJCCFFM51c8tbk0ahfbdU6qoKjQZp1ZMWMyy8iRukASISGEEMU8g2DEu8UDV6829I3i+lrkhtBeNuu6hdyAVi3dYnVB7WrnFEIIcX1C2sD0nXDwUzj3J/g2hBumg3/j4mnPtUgDvT/DGtzCD+c3W5XrXHQ80XkWfjqZIFMXyKyxa5BZY0KIOslkgsIccHEHl9q50ao58RjpCX+xz82FFXE/kGnIpGdwR+5pMJj6J37Cpd+84mnewinJrDEhhBCVp9GAxsfRUVQr9emfCdi6gEEBTejedjRFAV54JfyNdvtoMBcWt4RJIlTrSSIkhKixDCYDKfkpJOclo1apCdIFEaQPwqWWzV4SDpYag+/2V63LVKrSj62kbGM2Kfkp/JnwJ0aTkZ7hPQnRh+Dr7lul9xEVJ79NhBA1UpYhi01xP/P63tcsG4F6uXrxUq+XuCHsBnSuOgdHKJxe01tg64LS65rcDFWUpGQaMll3ch3vHHrHUvbW/rcYETWCWZ1nEaALqJL7iMqRWWNCiBrpVPppXtz9gtVu6NmF2czcPpOL2fEOjEzUGt7h0GVKyXJ3H7jlv1XWLXYu65xVEnTFt2e+ZV/Sviq5h6g8SYSEEDVOtjGbD/5eWmqdWTGzLnodRaYiO0clah29P/R/Gu7+GiL7Qmhb6DUb7v8NAppWyS2MJiNrTqyxWb/8yHIyCjKq5F6icqRrTAhR42Qb8jiffd5m/dnMM+QV5eOt8bJjVKJW8giEJgOhfncwGYtbgTSuVXb5InMRyfnJNuvTDekUmm0v7Ciqn7QICSFqHA1aGvtE2axv4tMSDW52jEjUeu5e4BFQpUkQgLvGnR6hvW3Wdw7uhlZTygKWwm4kERJC1Dje7p5Ma3N/qXWualdGN7kdnaskQqLmyy800zO0L35avxJ1Wo2Wu5tPpMCocUBk4gpJhIQQNY7O1YWmJhNvdXsGX62vpTxEH8KyHi/SUDGhVlft9GYhqoOrRk09YwGre7xIv3q9UauKv3Y7B3Xg016vEpaVgpum9n4Vp+WncSr9FDvjd3Iq7RSp+amODqkEGSMkhKh58jPw2vw0NwFtb5hFupsOtUqNX04KQVtegrAOcOticJFWIVGzualMuBxciu/xDSzsMJ7MG15GAbwuHcbnq+ko/lGoxn8GtbCrNyEngcd/e5wjKUcsZS39W/JWv0XU96rnwMisSSIkhKh5igogKwFNxnlCz+8m9Op6d18wGSQREjVfkQF12lkoyMRz91I8d1vPhlRpXIs/77VMpiGTZ/54xioJAjiRdoIndzzBkpuW4K/zd1B01mpve5wQwnm5eUG9LrbrG/UqfYd0IWoaVx006GG7PqwDuHnaLRx7uZybYnONpMMph0muQV1kkggJIWoerQf0eRzUpQwidfOA9uNLrxOiplFroMP44oToaio19H0StLUvEcopzC2zPtuQY6dIrk0SISFEzeQfBRO/A//G/5SFtoV7N4FvA8fFJURF+TSAyT9CYLN/ldWHCV9CQBPHxVWNPFy8UGF7QoOnW83ZzFbGCAkhaiZX9+IusHs3QX568V/WOr/iBfCEcCYaF6jXCSZvhLx0UEyg8wfvMEdHVm08XX25KeIWtl74uURd7/C+eLr42j8oGyQREkLUbF4hxQ/hcMl5yZzNPMuv53/FT+vHzY1uJlgfjJebrPBdLp4hxY86IFDvzZOdHkOvUfHjuS2YFBNqlZpbIm5iVsdZ+Ot9HR2ihUpRFMXRQdRkWVlZ+Pj4kJmZibd3zWnKE0IIe0rKTeKxbY9xLPWYVfncLnMZ1XQUnrVwwK+4DnlpKF9MIj+4OSnNbiYXEx4qFwJO/YJHwiEYt7baW3fL+/0tLUJCCCHKVGQu4vPoL0okQQCv73udHuE9aOpWNZuUiloiNwVV3A70cTto8NeHpdbXlG5uGSwthBCiTGn5aXwevc5m/Y9nf7JjNMIpGK8xK8yQZZ84ysGpEqEdO3YwfPhwwsPDUalUbNiw4ZrnbN++nU6dOqHVamnSpAkrV66s9jiFEKI2MZiKyC1jOnRqQZodoxFOwd0HVGVsg1NDFlMEJ0uEcnNzad++Pe+++265jo+NjWXYsGH079+fQ4cOMXPmTKZOncrPP5ccxS6EEKJ0LrjTJaSbzfobQvrZLxjhHDyCoc2Y0uta3FpjusXAycYIDRkyhCFDhpT7+KVLlxIZGcmbb74JQMuWLfnjjz9YtGgRgwYNqq4whRCiVtGqPZjZ8VHu+XkvReYiq7pmvk1p7tvYxpmiznL3glteBBct/P0ZmIuKl8BocwcMXAA6X0dHaOFUiVBF7dq1i4EDB1qVDRo0iJkzZ9o8x2AwYDAYLM+zsmpOP6YQQjiCv06D7tRBPuv9Jm+e/JQ9SfvQuegY02god4fdSKApz9EhiprIKxSGvAq954AhG7Re4BFU41bSrtWJUGJiIiEh1ms2hISEkJWVRX5+PjpdySXPFy5cyIIFC+wVohBC1Hy5l9FteZYWag1vdppIbveRqE1G/I+ux3Xr/1B6zYGQZxwdpaiJ3DzAP9LRUZSpVidClTFv3jxmz55teZ6VlUVERIQDIxJCCAdTFCjIBMWM9+9vcfWKLKqcJIeEJURVqNWJUGhoKElJ1v+DJiUl4e3tXWprEIBWq0Wr1dojPCGEcA5untCoN8T+Vnp9i1vtG48QVahWJ0I9evTgxx9/tCrbsmULPXr0cFBEQojyyjZmk5yXzNbzW8k2ZtMvoh8NvBsQqKs5s03qDJ0P3PJf+LB/8aDXfwtqUbwZrhBOyqkSoZycHGJiYizPY2NjOXToEP7+/jRo0IB58+YRHx/PqlWrAHjwwQd55513eOKJJ7jvvvv49ddf+eKLL/jhhx8c9RKEEOWQbczmm9PreWPf65ayFcdW0CWkC6/2eZVgfbADo6ujApvB1F/g52fg3E5w1UHHe+DGx2r15qGi9nOqvca2b99O//79S5RPmjSJlStXMnnyZOLi4ti+fbvVObNmzeL48ePUr1+fZ599lsmTJ5f7nrLXmBD2F512iju+H11q3cxOM7m3zb2oVU61DFrtkZdevGqwSlU8A8hFhhKImqm8399OlQg5giRCQtjfa3+9zuoTq0qtC9IFse7WddIqJIQoU3m/v+VPKiFEjZOSn2KzLsuYhaHIZMdohBC1mSRCQoga54bQkl3gV3QN6Y4L7naMRghRm0kiJISocdoFtKShd8MS5S5qFx5uPwN3jYcDohJC1EaSCAkhapxGpnw+7DCbOxvfhlZTPBi3W0gXPuv9Jo0Tj+Gnc6oJr0KIGkx+mwghahzN32sI27OUJ1rdxrTOz2BWu+CZcAjvL+8HjStE9i7ex0gIIa6TJEJCiBpHlZUAJiPaI18ReuQr60oXdzDLYGkhRNWQrjEhRM3TsowtGxr1qnG7VwshnJe0CAkhap763cCvEaTHWZerXWDg8+Du44CgKs+smEnOSya1IBWTYiLAPYAgXRCuGldHhyZEnSeJkBCi5vGpB5O+g19fhmNfg6kQ6neFIa9CQFNHR1chRpORg5cP8sSOJ0grSANA56Ljia5PcEvDW/DWykKtQjiSrCx9DbKytBAOZMyDvFRQTKD1An2AoyOqsNjMOEZ9dztFV29WCnx8y3K6hXV1QFRC1H6ysrQQwvm56cE3oribzAmTILNiZv3p9aUmQQDv//0eWYYsO0clhPg3SYSEEKKaGIoMnEw/YbM+LiuOHGOeHSMSQlxNEiEhhKgmKlyI8mphs76RVyNUipsdIxJCXE0SISGEqCauag1DIofjoi59Xsqklvejc5GlAIRwJEmEhBCimmg0aqLc3FnW8yUCdYGWcg9XD17sNJv2nkH46qVFSAhHkunzQghRjXQnv6fz32tZd+PDpOn9MGHGv8hE0F8f43JiO4x8D9xkE1khHEUSISGEqC6F+ahjfoHEI4R8/QAhV9d7hkBBliRCQjiQdI0JIUR1UbuCT33b9Z7BxZvICiEcRhIhIYSoLhoX6DrFdn2vWeARaLteCFHtJBESQojq5BcJQ14H1VW/bjtNgsg+jolJCGEhY4TEdUvJTyEtP40CUwH+7v4E6ALQuegcHZYQNYO7N3S4C5oOhPO7obAAGvYsHh+k93N0dELUeZIIietyJuMMM7fNJC4rDgAXtQv3tLyHyW0m4+/u79jghKgptJ7FD//Gjo5ECHEV6RoTlXYp5xL3/XyfJQkCKDIXseLYCn48+yNmxey44IQQQohykERIVNqJtJOkFaSVWvfhkQ+5nHfZzhEJIYQQFSOJkKi06LRom3VpBWkYiox2jEYIIYSoOEmERKU19Gpis87f3R8UGYImhBCiZpNESFRaI88mNgdE39vqPtxUvvYNSAghhKgg+ZNdVFpjFzUf3/ACsw688c+sMZULdze5naEeDXHXKI4NUAghypCan8rZjLN8d+Y71Go1tze5nQbeDWTGax0jiZCoNNcLu2iy7UWW95lFml8DDOZC/FWu+B/dgH77XTBjDyB7KAkhap7kvGSe2/kcfyT8YSn75vQ3DIscxtyucwnQBTgwOmFPkgiJStNkXYDMCwR9P5ug0g4wFdo7JCGEKJc9l/ZYJUFX/BD7A8OjhnNjvRsdEJVwBBkjJCovorvtOr9IcNXbLxYhhCinjIIMVp9YbbP+0+Ofkl+Yb8eIhCNJIiQqL7ApBDUvve6W/4JXqH3jEUKIcjAppjITnZzCHIqUIjtGJBxJEiFReV6hMOFraD0K1JriMu9wuGMFNOrl2NiEEMIGHzcf+ta/yWb9zQ0G4+nqaceIhCPJGCFxfXwj4LYlMHA+mIzg5lWcIKlUjo5MCCFKlV1g5ub6w/nu7PoSq+OHeoTS1q8H+YUm9G7yFVkXyE9ZXL8rG0oKIYQTMCkK4YVGPr3hRT4+9yObLm5Ho9IwPGIA99QfgKupCJNZlv+oK5yua+zdd9+lUaNGuLu70717d/766y+bx65cuRKVSmX1cHd3t2O0Qgghaho/1yJ89/6PiNV3MC81nW/bzuSb1jOYnRBHvVWj8DvxKV6u0qpdVzhVi9Dnn3/O7NmzWbp0Kd27d2fx4sUMGjSI6OhogoODSz3H29ub6Oh/9sRSSZeNEELUaZrCXEj4C4oMaP9eR8jf66zqXS/uAmMu6HwcFKGwJ6dqEXrrrbeYNm0a9957L61atWLp0qXo9XqWL19u8xyVSkVoaKjlERISYseIhRBC1Dgu7uBVz3a9TwNw0dovHuFQTpMIGY1G9u/fz8CBAy1larWagQMHsmvXLpvn5eTk0LBhQyIiIhgxYgTHjh0r8z4Gg4GsrCyrhxBCiFrE3Rt6z7Fd32MGuMowirrCaRKhlJQUTCZTiRadkJAQEhMTSz2nefPmLF++nG+//ZZPP/0Us9lMz549uXjxos37LFy4EB8fH8sjIiKiSl+HEEKIGiCsHfR/BlT/+hpUa2DoGxDQxHFxCbtzqjFCFdWjRw969Ohhed6zZ09atmzJBx98wIsvvljqOfPmzWP27NmW51lZWZIMCSFEbaP3hxumQ5s74NLfxUlQaDvwDAI32SOxLnGaRCgwMBCNRkNSUpJVeVJSEqGh5VvB2NXVlY4dOxITE2PzGK1Wi1YrfcNCCFHrab2KHwGNHR2JcCCn6Rpzc3Ojc+fObN261VJmNpvZunWrVatPWUwmE0eOHCEsLKy6whRCiArJKMggNjOWYynHuJB9gbzCPEeHJESd4jQtQgCzZ89m0qRJdOnShW7durF48WJyc3O59957AZg4cSL16tVj4cKFALzwwgvccMMNNGnShIyMDF5//XXOnTvH1KlTHfkyhBACgIvZF3n696c5mHwQABeVC2OajeH+9vcTqAt0cHRC1A1OlQiNHTuW5ORknnvuORITE+nQoQObNm2yDKA+f/48avU/jVzp6elMmzaNxMRE/Pz86Ny5M3/++SetWrVy1EsQQggAkvOSeWjrQ8RmxlrKipQiPov+DL2rnoc6PISbxs2BEQpRN6gURZF1xMuQlZWFj48PmZmZeHt7OzocIUQtcTj5MBN+nFBqnc5Fx4YRGwj3DLdzVELUHuX9/naaMUJCCFGbnM+6YLMuvyhfxgoJYSeSCAkhhAOE6m1P2nBTu+GmlgX9hLAHSYSEEMIBPDTBhHuU3vV1W+ORqBUvO0ckRN0kiZAQQjiAu1HN0p4vE+kTaVU+qH5/pjW9A3ORxkGRCVG3ONWsMSGEqC3qu2TiumYCy/s+Tlq7hmSbCghw8SDg7A681o7FMPFHwNPRYTo1Q5GBtII0TIoJvYsef52/o0MSNZAkQkII4QCay8cg+xKBG+cQCKB2AXORpV5blOOw2BwtrzCP5Pxk9ibuJduYTfew7oR6hOLvXv5EJjE3kY+PfMz6mPUYTAaa+jblqW5P0SawDXpXfTVGL5yNJEJCCOEAaverpvP+KwkCQONqv2BqkJzCHDbFbuKFXS+g8M/qLv3r9+e5ns+Va6HJ5LxkHv31UU6knbCUnc44zZTNU1g+aDldQ7tWS+zCOckYISGEcITgFuCqK72uYa/iTUHroMTcRBbsWmCVBAFsu7iNzXGbKc/Sd3FZcVZJ0L+98tcrpOanVkmsonaQREgIIRzBMxTGrCruErMqD4Hb/gc6P8fE5WDfxnxrs+6TY5+Qkp9yzWvsTthjs+5U+inyi/IrFZuonaRrTAghHMHFDSL7wIy/4ORGSI2ByL4QcQP41nd0dA6hKAqXci7ZrE83pGNWzNe8TkAZ3Wc6Fx0alczIE/+QREgIIRzF1R0CouDGxxwdSY2gUqnoGd6Xn8/9XGp9h8COqNFe8zrtA7qhVqlLTZqGNhwhazQJK9I1JoQQokZQFIV67q0I9QgtUadRabinxUOYiq6dCCWkaHjtxoUlWn7a+Lfi7uYTMBTKV5/4h7QICSGEqBFUKhX+Jg3Le77M/06s5pf4HZgUEy39W/J066kEuXiiUauueZ0eAUW47PiC73u/xe6MaFKMmXTza0XDnDTcj39PUedpdng1wlnI7vPXILvPCyGE/RSe/QPXdXeS134c6U0HYAY8UmLw/+sjipoMwmXwS+BSdquQ6dDnaDbcX/wkpDW4eUDKachPB30APPgHeJe+vYmoPcr7/S0tQkIIIWoMl7/XgDEX/d6P0e/92Lru6JfQZ/Y1kxhN6ql/niQds67MSwWTsarCFbWAdJQ6UNHVC6gJIUQdV2bHl+ra3WIA1Otsu84nAlzcKxKSqOWkRcjOjCYjCTkJbDy7kVPpp+gQ1IGbG91MmEcYLlevJyKEEHVNp3vg77Wl17UdU9y1dS1h7cArFLITS9YNeK64Toj/Jy1CdlRkLmJ/0n5u//Z2Pjj8AdsubGPRgUWM/m40J9NOOjo8IYRwvIAm0PzWkuVeYdDj4WuODwLApz5M+gHCO/5TpvWCQQuhycCqi1XUCjJY+hqqcrD0pdxL3PHdHWQZs0rURXhF8MngTwjSB13XPUTVS81PJa8wD41ag7+7P+51qFk9tzCX1PxUjqUUj7NoHdiaAF0AHq4eDo5M1GrZSXDxL9j9HhjzoPXt0GYU+Dao2HVyUyEvBYoMxSt1e4XW2T3c6iIZLF0DJeYklZoEAVzIvkBaQbokQjVIXmEeR1OOsvCvhcRkxOCqduXWxrcyvcN0wjzCHB1etcs0ZPLVqa94++DbloXp1Co1j3R8hDHNxuCj9XFwhKLW8gqBlsOLV9o2F4G7L6gr0YHhEVD8EKIM0jVmRwXXmKlgNMng6ZrkRNoJpm6eSkxGDACF5kLWx6xn+pbpXM677ODoqt+ZjDMsPrDYanVes2Lmfwf+Z3lPhKhW7t7Fm89WJgkSopzk02VHgdoQmwOivd288dDIOkU1RXpBOq/99VqJHbABzmSe4UzGGQdEZT95hXksP7rcZv2KoyvIK8yzY0RCCFE9JBGyI3+1lhmtJpdaN6/DI/hr9PYNSNiUX5TP8bTjNuv/TPjTjtHYn9FkJDG3lBk3/y8xNxGDyWDHiIQQonpIImRHvoY0xuQWsKTbs7T0b4m3mzcdgzqwoudC+sXuxasw3dEhiv+nVqnLHBAcpAu2YzT256p2p11gR5v1bQM64KqqO4PGhRC1lyRCdqTJS8bn15fpt/llPvDtyjctp7NE15wu3z2O518foTFmOzpE8f88XHwZFXVnqXVqlZoeYb3sHJF9GQpV3Nl0DFpNyanKWo2Wcc3GYiySXx9CCOcnv8nsyfP/WxHSY/Hb+l9CNszA57fXIfsSqNTFAwNFjZBToDChye10CmxnVa5RaXit27Oo82r3/zoebi6EpV9iZc+Xae7X3FLe3K85K3u+TEhaPB5uMulUCOH85DeZPXkEQf2ucHFvybpWI4vrRY3gqeSi/+kJ3moxmIvN7+Kv1OP4u3nRzbcZQXs+wtg5HGjo6DCrjdaUi/bP1/DJOM+ybtPIajkFAO+UGPy/m1O8TUHDTuAqybsQwrlJImRPHoFwxwpY/yCc++Of8pbDYdBLxSufihpBb85DE7OZgJjNBGi9aR/YpHhht+TiFcBd/ZtC054OjrIamQvBkA0Z5/Hf/Cz+V9e7+xYfI4QQTk4SIXvzjYCxqyE3ufiLxt23uCVIJ4vT1SQajRo0bsW7VBuyIP6AVb3KvZYnre6+0PI2uPR36fUtbwOtrz0jEkKIaiGJkCPo/YsfokbJNmZTaC7E29UbF30ASruxqA6uLvVYdYtS9kKqTdQaaHcn7FlanLT/m0cQtB8LGo1jYqulFEXhct5lLuddJqcwh3DPcPzd/fFyq+VJtxAOJomQqPNS81M5lHyIT459QrYxm771+3JHszuo1+9piN0BGeesT7jp2eINIGs73wYwZQvseAOOflVc1uYO6PN4xfd8EmUymU2cTDvJjK0zSC1IBUCFilFNR/FIx0cI0Mk2EUJUF9l09RqqctNVUfOk5afxyl+v8FPcT1bl3m7erB26loa4wvmdcGw9eARDl8ng2wh0vo4I1zGM+ZCfVvxvnT+46RwbTy2UkJPAqO9GkVuYW6JudufZTGw1EY1aWuCEqIjyfn/X7jnAQlxDfG58iSQIIMuYxZJDS8jT+0LbMXDnKrh1EYR1qFtJEBQnPj71ih+SBFWLv5P/LjUJAlh+dDnJ+cml1gkhrp8kQqJO2xK3xWbdL+d+IcuYVfxE7QIqlZ2iEnXN2YyzNusyDBkUygw9IaqNJEKijrOd3Kgk8RF20sK/lc26UI9QXFRudoxGiLrF6RKhd999l0aNGuHu7k737t3566+/yjz+yy+/pEWLFri7u9O2bVt+/PFHO0UqnEHv8AE2626qfwtqs+39xoSoKkFukQTpSl9QdVKLB9CYZXkNIaqLUyVCn3/+ObNnz2b+/PkcOHCA9u3bM2jQIC5fvlzq8X/++Sfjx49nypQpHDx4kJEjRzJy5EiOHj1q58hFTeWpeDMqsuRUeH93fx5qNw2TSSZWiupnylbxUZ83aRXwT8uQ3kXP420foE9QR4xFZgdGJ0Tt5lSzxrp3707Xrl155513ADCbzURERPDII4/w1FNPlTh+7Nix5ObmsnHjRkvZDTfcQIcOHVi6dGm57imzxmq3vHMHKUjcxUmfYD45v5mswmwGBHdhSGAHAqN/o/DGuXh62Xcdl5S8FLKMWWjUGny1vvhopTWgtjMkHEO7diTpPR4iPbQ1BnMhPopC0P5PUaHBeOu76L18HR2mEE6lvN/fTvPnrtFoZP/+/cybN89SplarGThwILt27Sr1nF27djF79myrskGDBrFhwwab9zEYDBgMBsvzrKys6wtc1Gjup79H/8eb9PQKo0PL4RS6h+F5bBuauBdA44a2xwOAfRIhQ5GBIylHeGHXC8RmxQLQIagD83vOJ8onqs6OWUrJTyEtP418Uz7+7v4EuAegd9VX6Bpp+Wkk5ydzPus8QfogwjzCCPEIqaaIK8717BbIuYzflufxu7pSpcbFlAX42j8wIeoAp0mEUlJSMJlMhIRY//IKCQnh5MmTpZ6TmJhY6vGJiYk277Nw4UIWLFhw/QELp6A2GYv/kX0J/V/LrCvNRYD9Gkxjs2KZunkqJsVkKTuUfIhJP03ii1u/oJ5XPbvFUlOcTj/NnO1zLImhRqVhXItxTGs7rdyLDCbmJvLUjqfYf3m/pSxEH8LSm5fSxLdJtcRdUWqzyXalYgbnabgXwuk41Rghe5g3bx6ZmZmWx4ULFxwdkqhOrW6zXdd8KLjbp1sqtzCX9w+9b5UEXZFlzOKX87/gRL3YVeJ81nmmbZ5mSYIATIqJNSfWsD5mPaaykof/l1eYx5v73rRKggCS8pJ4cMuDJOUmVXncldL0Ztt1kf2u+Tk0K2ayDFnkFeZVaVhC1AVOkwgFBgai0WhISrL+xZWUlERoaGip54SGhlboeACtVou3t7fVQ9RifpHQfFjJcq0XDJhf/F87yC3M5e9kGxucArsSdmEwGWzW1zZGk5Fjqccs201cbcXRFeVaZDC1IJUt50pfKyopL4mE3ITrirPK+NSDtmNLlrvqYfDLZS7imZCTwMqjK5n+y3RmbZ/FzvidpBWkVV+sQtQyTpMIubm50blzZ7Zu3WopM5vNbN26lR49epR6To8ePayOB9iyZYvN40Ud5BlUvGL07R9AaDvwbQjdpsEDOyDAft0mrmpXgvSlT58GCPcIx1Xtard4HC3bmM2ptFM267OMWeQXFVzzOgVFBaW2sl1xObf0Gad2pw+AQf+FMZ9AeCfwawRd7oMHf4fA5jZPu5B9gbt+uItFBxZxOOUwfyb8yYO/PMii/YtIL0i3X/xCODGnGSMEMHv2bCZNmkSXLl3o1q0bixcvJjc3l3vvvReAiRMnUq9ePRYuXAjAY489Rt++fXnzzTcZNmwY69atY9++fSxbtqys24i6xisE2o+DJjeDuRB0fuCitWsIHi7e3NPiPp7584lS60dE3VGn9poyKSYivCNs1vtofXDh2osMerh6oHPRkV+UX2p9Q++GlY6xynkGQ+uRENkHTIWg8wEXd5uH5xfl88HfH5TaarYhZgPjmo/Dz73E0OvrVmgqJDEvkV0Ju7iQfYHOIZ1p4d+CUA/bLe1C1GROlQiNHTuW5ORknnvuORITE+nQoQObNm2yDIg+f/48avU/jVw9e/Zk7dq1/Oc//+Hpp5+madOmbNiwgTZt2jjqJYiazMNxO3xn5hXS2bcpExqPZM3ZDZZyF5ULz3V8lACzO4YiE1qXupEMuarcCdWHEqgLJCU/pUT9xJaTcFGuPX7LXxvA5FaTef/w+yXq2ge2x1dbA3d11/uX67BMQyY/xtpeIPbH2J9oHdi6qqICoMhUxIHLB5j+y3TLth8rj60k1COUjwd9TAOvBlV6PyHswanWEXIEWUdI2EN2VgbuP80k3zec1OYDOZp5Fq3ajVYe9QjY9wmmsB6493wAF43T9GZfl6SMfPKVJOLz4nlt72uczSzei8tF5cKopqO4r9VEtJoQAj1tt5gAZGWkYUzaxZcZx1kR8yX5RfmoVWoG1O/LE5Gj8PZqjD7QOb+8L+VcYuj6oRSZi0qtn9Dibp7q/mSV3jMhJ4GR344stYWtR1gP3uz3Jl5u9l13Swhbat06QkLUZp7ko7qwE9cTl/He/T6Rvg2Ku0ey4osPMObCDfeCpuwv/lpDDfULCtAoLszs+ChqtQsmxUSwewDBxnyCvnkI1djVQNnvh9aYhve6CUxtcSu3dfkPuWoN7ioNAad/xWPtePLv/BycNBFSK3r61RvALxd+LrW+d/jAKr9nbGaszW7GXZd2kV6QLomQcDqSCAlRA6g0rqAPhJzLxevGpMdZ1SteYajUded/1wDXQjQHvyfi9zcIajOKrIiuqAvzCDi6HtXFfcUHFWResxtJXVQAioLrie+pd+L7EvWavGvPPKupzCY37mt1P3sv7ybTkGlVd3ODgZiN5etiq4j0gswy641X1uUSwonUnd+sQtRkHoFw40xYf3+p1aquU0FTd/53dSnKBxQoKsD90FrcD621PkClKteAdpXOu3gNHhtf4Opg2zOyajoPrQb9pXjW3fASX1/6g22X9+Lp6smkhkPoaFKj9aj6UQ9RPrZnUgbqAnFTyybFwvnUjQEHQjiDqP7Qbpx1mUoFg14G/0jHxOQoignqdSq1Kq/dncRN+YnP4rfzweEPOJx8mNT80tcbcvEOx9x3Xql15qgBaLydd6aTtykTn23zqP/JSGbE/s1y/568p23CzVvfIPCbB9En7q3yexqNHtzS4JZS62Z2nI25ULrFhPORwdLXIIOlhV3lpUH2JTi7HVx00Lhv8bRqOy3sWGOYiuDkRkg4ADv/ZynO6TiBTZGdeeHg/1D+tf3JDWE38FKvlwjWB5e8Vm4q5uMbUG9/GXJTwMUdc8d7UPWeg8o7zB6vpnpkXoRFZcwK63wfDF9UpbdMSzyHOfMoG7JO8smZDWQYMoj0iWROi4m0NSqYI24h0E82CRY1gwyWFsIZ6f2LHyFVO+3Z6WhcIKI7ZCcWLzJ47BvITyep230s2HxvicN3X9rNxrMbmdx6MmrVVQ3dHgGoO98LzQZDYS5o3FF7BZe5Ro9TULuAd71/BtRfLbhFld/S25CIy2d3cW9kX4Z3egiT1gu39AsE/vIKZFzA9NAeQBIh4VwkERJC1EzeYdDmdkg7By1HgG9DNib8bvPwT49/yq2Nby29VUitLt7GojbxDIE+c2HjzJJ1LlpoWnoX1vXQZJwr/m/sb4TE/lay3saMMiFqMkmEhBA1l2dI8YNuACTGfW3z0HRDOmbFbKfAagCVClrcCpePw94P/9mh3t0Xxq0Bn/pVf8uyxqq56or3RhPCyUgiJEQtUWgqJN2QDgr4uvviprn2FhTOZkCDAWw8u7HUui4hXfBwrWOzljyD4KZnofuDkHYWtJ7gEwGeodUzy9A3AgKiIPVMybouU4q3qxHCyUgiJEQtkJCTwNoTa9l4diNmxczQyKHc0+oe6nnVru6glr4tqe9Vn4vZF63KNSoNMzs+WjcX83P3Ln4ERFX/vbxCYcLX8NW9kHCwuEylho73QM9HnX/claiTZNbYNcisMVHTXcq5xKRNk7iUe8mqPEgXxKdDPyXcM9xBkVW9vEunyDBc4t247/nxwlaKzEW0DmjNvFb3Eu7iR453MNHpJ3HTuNHMrxmBukDc5cu56uWmQF4KGHJB7wcewcWtUULUINU+aywmJoYzZ87Qp08fdDodiqKgUqkqezkhRCUoisLW81tLJEEAyfnJbDy7kSltptSanevVR74g/K8l/KftGGZ0ewGzSoVH8ilIj2eF4S9Wnv7SMq3eRe3Cgp4LGNBgQN3rMqtuHoHFDyFqgQovqJiamsrAgQNp1qwZQ4cO5dKl4l/AU6ZMYc6cOVUeoBDCtixjFj/F/mSz/ue4n0tsv+DM3LLPQVEBuoOrCf/sbuqvnYDf/tUc1OlZcfoLq7WFisxFPPPHM8Rn25heLoQQVCIRmjVrFi4uLpw/fx69/p8ZAmPHjmXTpk1VGpwQomwalabMrh93jXutaQ0CMDe5uURZRvuxfHB2vc1zPo/+HJPZVJ1hCSGcWIUToc2bN/Pqq69Sv7711MymTZty7ty5KgtMCHFtnm6e3NXiLpv141vchY+29ixwp27YA7ysV4M2egSSXMbmqRdzLlJoLqzu0IQQTqrCiVBubq5VS9AVaWlpaLXX3gRRCFG12ng34abwG0uU9wzpShf/Ng6IqPqofSMwT/4RpenNxevoAB45ybQJsL0Sd+fgrmg18rtJCFG6Cg+W7t27N6tWreLFF18EQKVSYTabee211+jfv3+VByiEKF1eYR6GQiM+0b/wnG9H7m44mK8v7cSsKIwK60mT3Aw8/1xGbv9n8CjljxdnpQ5oDKOXQ14qmIvQuHgyOT+F3+J3lFhQ0dPVk66hnTmZdpIGXg3wcJNB00IIaxWePn/06FEGDBhAp06d+PXXX7nttts4duwYaWlp7Ny5k6goO6xlYUcyfV7UNCn5KRxLPcaaE2swFBm4Nbw3vfX1CN3yPOagloAK9bk/IOcyBLek4K5vcfetvQvdpeQUoKSe4KwxngVH3uNC9gUAWge05qEOD/H2gbeJTo/mtT6vMaDBgFq50KQQoqTyfn9Xah2hzMxM3nnnHf7++29ycnLo1KkTM2bMICzMiXdytkESIVGTpOan8sKuF/j1wq9W5RFeEXzcYTZhq+/4Z6sFQGnUG2XsGtS62jNO6Grm/Az4/B7UuUlcHLWU04WZmDFzJuMMn0d/zuW8ywDoXHRsGLGhVq2rJISwrVrXEfLx8eGZZ56pdHBCiMqJyYgpkQQBXMi+wNeX9/Jg1ABcYn6xlJt6PIpLJZKgQnMhhiIDOhddjZ91pi7Mh5RoyEkiN/cyj+6cW+px+UX5JOYmSiIkhLBS4URox44dZdb36dOn0sEIIWwrMhfxRfQXNus3XNjKnS3GEvz/iZC56/241O9UoXvkFuZyIfsCa0+s5UL2BToFd2JEkxGEe4bjoq6hO/K46sA/CnKSrnmoqS5tyiqEKJcK/2br169fibJ/ryhtMsl6HUJUF5Ni+/8vk2JCCW2H6ZaXUUX1R+0dBjq/cl/bUGRg6/mtPPPHP629+5L2sfrEalYMWkHrQNszsxxK5wv9n4ZPbsU3P4NAXSAp+SklDtNqtARoa+9YKSFE5VR4+nx6errV4/Lly2zatImuXbuyefPm6ohRCEHxlhHDGo20WX9zgyF4BrVH03MG6pBWFUqCoHhLjuf/fL5EeX5RPs/sfIbU/NQKRmxHoW3h1kUE713Ji+0fQa0q+avtyc5zMRbUntlzQoiqUeEWIR+fkuMNbr75Ztzc3Jg9ezb79++vksCEENaMRWYa6RvSOagD+5MPWdUF6YIY32wM2QUKHpVcMic2M9bmwoNnMs6QYcggQBdQuYtXN50vdJiAuVFfOudd5svBq/j4xKecSI+moUc9pja+jai4vRDYA6ihr0EI4RBV1ukfEhJCdHR0VV1OCHEVjVpFcFocrzUcyc56ffns/GYKTAUMCevJiOBu+Bz5nsLO0yp9/UJzUZn1V6/RU+O4aMFchG7FEJq56nm+9e3kBfTBPesSHl9Nh/x0TM2HAQ0cHakQogapcCJ0+PBhq+eKonDp0iVeeeUVOnToUFVxCSGuosGE99FPUB1bz+2hbenXchhmjRu+p3ai2fRK8dYTncYAukpdv4FXJBqVptRxSPU866FVe13nK6h+GlNB8fIBxlx0Bz8t8U5ojDkOiUsIUXNVOBHq0KEDKpWKq5cfuuGGG1i+fHmVBSaEuIoCKtP/d10lHsEv8Yh1vbkIKrwq2D/yct2Z3u4B3vn7PatyjUrDs93+g6nQs/IXtxedH7jqoTCvZJ1KBT71S5YLIeq0CidCsbGxVs/VajVBQUG4u9veAVsIUQU0LtBpIpzcWHp9mzGgr/z4l0jXAhrmGmh3wwssO/stl/ISaePbnPujRlA/ZifG9i2AGp4MeYZA7znw64sl69rfDR5B9o9JCFGjVTgRatiwYXXEIYQoj7D20KAHnN9lXe4ZAt0fAJfKbx+hz09As2U+PbzCaN1+LIZ6XfBIiUG/9h4ozEXbdjQQeH3xVzcXLXS+F/T+sP2V4rWF3H2hx8PQeRK4y+rwQghr5UqE3n777XJf8NFHH610MEKIa/AKhTEr4NQW2LsMCvOh9SjodA/4Xt8gYE3e/6+9k30J7z8Wl6w3Ga7r+nbjEQCdJkOzwVBYUJwceoYWt6gJIcRVyrXXWGRkZPkuplJx9uzZ6w6qJpG9xkSNlZsKigl0/lXzJZ90HN7vUXqd1hum/wm+Edd/HyGEsIMq3Wvs6nFBQogawKOK18PxDIEmA+Ffe5VZ9HmiuDVKCCFqmQqvLC2EqKU8AmDEO9B1WvFYGygeazPkNehwF2hcHRufEEJUg0q1p1+8eJHvvvuO8+fPYzQarereeuutKglMCOEAXmFwy3+h5yNQVABunsUtQTV8B3ohhKisCidCW7du5bbbbqNx48acPHmSNm3aEBcXh6IodOpUsZ2uhRA1kKs7+MnsUCFE3VDhrrF58+bx+OOPc+TIEdzd3fn666+5cOECffv2ZcyYMdURIwBpaWlMmDABb29vfH19mTJlCjk5Za8S269fP1QqldXjwQcfrLYYhRBCOLfLeZeJTovmSMoR4rPjMRQ5yWxJUWkVbhE6ceIEn332WfHJLi7k5+fj6enJCy+8wIgRI5g+fXqVBwkwYcIELl26xJYtWygsLOTee+/l/vvvZ+3atWWeN23aNF544QXLc71edp8WQghhzayYOZl2klnbZpGQmwCAm9qNB9s/yJhmY/B193VsgKLaVDgR8vDwsIwLCgsL48yZM7Ru3RqAlJSUqo3u/504cYJNmzaxd+9eunTpAsCSJUsYOnQob7zxBuHh4TbP1ev1hIbKbBchROUUFBWQbkhHURQ8XD3w0fo4OiRRDS7lXuK+n+8jtzDXUmY0G3n74NvU96zPkMZDHBidqE4V7hq74YYb+OOPPwAYOnQoc+bM4aWXXuK+++7jhhtuqPIAAXbt2oWvr68lCQIYOHAgarWaPXv2lHnumjVrCAwMpE2bNsybN4+8vFL2IPoXg8FAVlaW1UMIUTfF58Tz0p6XGPbNMAZ9PYhZ22dxMu0khVf2fKtCKXkpHEs5xq/nf+V46nFS8qvnD0tRuj2X9lglQf+25NASUvLk51FbVbhF6K233rKMzVmwYAE5OTl8/vnnNG3atNpmjCUmJhIcHGxV5uLigr+/P4mJiTbPu+uuu2jYsCHh4eEcPnyYJ598kujoaL755hub5yxcuJAFCxZUWexCCOeUmJvIlJ+nEJ8Tbynbm7iXu364iy+Gf0ET3yZVdq8L2Rd4eOvDnM38Z0HaZn7NWHLTEsI9bbd4i6pzNOWozboL2RcoVKo++RU1Q4VbhF5++WXS0tKA4m6ypUuXcvjwYb7++usK70P21FNPlRjMfPXj5MmTFQ3R4v7772fQoEG0bduWCRMmsGrVKtavX8+ZM2dsnjNv3jwyMzMtjwsXLlT6/kII53Ug6YBVEnRFobmQ9w6+Z7P1oKLS8tOYvX22VRIEcCr9FE/teIqMgowquY8oW+uA1jbrIrwicFXJOlq1VYVbhJKTkxk8eDBBQUGMGzeOu+++m/bt21fq5nPmzGHy5MllHtO4cWNCQ0O5fPmyVXlRURFpaWkVGv/TvXt3AGJiYoiKiir1GK1Wi1arLfc1hRC1j8lsYvO5zTbrd1/aTY4xBw9Xj+u+V5ohjZNppf/BdzD5IGkFaTJQ1w66hHRD76Inr6jk8Inp7WYQqK/hGw6LSqtwIvTtt9+Snp7Ol19+ydq1a3nrrbdo0aIFEyZM4K677qJRo0blvlZQUBBBQUHXPK5Hjx5kZGSwf/9+OnfuDMCvv/6K2Wy2JDflcejQIaB4kLcQtVmRuQizYsZNU/nd6O0py5BFuiEdo8mIl5sXQbogNA5cxFGtUhOos/3F56P1Qa2qmoX5c4xlLwNS2hezqHqaAlc+7vc2s3c9y6XcS0DxrLH7W0ygo09rsvIL8dZJq1BtVK5NV8ty8eJFPvvsM5YvX87p06cpKiqqqtisDBkyhKSkJJYuXWqZPt+lSxfL9Pn4+HgGDBjAqlWr6NatG2fOnGHt2rUMHTqUgIAADh8+zKxZs6hfvz6//fZbue8rm64KZ5JRkMG5rHOsi15HljGLoZFD6RzSmVCPmjtz8mL2RRbsWsDuS7uB4iRjZqeZDGw4EF+tr8PiOpR4lHt+Hl9q3WMd5nJP67vQulz/ZrexmXHctmF4qXVqlZpvR3xHIx9Z4LK6pccewm/jFC73fow07zCM5kL80RB46HNMboEY+j2Lv7eXo8MUFVClm67aUlhYyL59+9izZw9xcXGEhIRcz+XKtGbNGh5++GEGDBiAWq1m9OjRvP3221axREdHW2aFubm58csvv7B48WJyc3OJiIhg9OjR/Oc//6m2GIVwpAxDBh8e+ZBVx1dZynZc3EEDrwZ8dMtHhHnWvJbQpNwkpm6eajUWJ9OQyYJdC/Bw9WBIpGOmLJvNCnk5ema2f4jFf79nVdcztBt9w/qSnltEqM/1J0IueHFTxEB+vVBys9vBjYbhivwBZg/6099BagzBGx4h+OpKN09cej0CSCJUG1Xq/+Jt27axdu1avv76a8xmM6NGjWLjxo3cdNNNVR2fhb+/f5mLJzZq1Ih/N25FRERUqOVHFK+oajAZcFW7EqgLxEV9/b/khf0k5CRYJUFXnM8+z+oTq5nZaWaN6yqLyYgpdUAywOL9i+kS0oUg/bW7z6tDc00WbeNP06/PYrYnHyLXbKBvYHvqp11AHbMdc7txVXKfvFw1T7R9AG+NKxvPbaFIKcJF7cKoRkOZ0mISOXlqkKWLqp1rYRlLpRTm4SpblNdaFf6mq1evHmlpaQwePJhly5YxfPhwGVzs5DIKMvgj4Q/+d+B/JOYm4u3mzcRWExndbHSZ4yREzbLxzEabdetPr2dSq0mEeFRfq21lHE4+bLMuITeBAlOBHaP5h1qtwvfkOjR7P8Zr/ydEhXcEjRskLYWCTAhogqntYOD6388I1yz0K4czr8UQ7u/xMnmY8UBNwPGN6FbdRt6kzUgmZActb4O9H5ZapUTdhNpdfga1VYUToeeff54xY8bg6+tbDeEIeysyF7EpbhMv7XnJUpZlzOKdQ+8QmxnL092fxlsrTfPOIL8o32adwWRA4bqGA1aLBt4NbNZ5uXrhqq6awan5hflkGbNQqVQEuAdceyC2uQhN5gXLv7m417o+NxmNYqqS2LSGFMi9jH7/J+j3f1JKfRpg+30SVUMd1BwlojuqC1ct0uuiRXXzC+Auvwdrqwo39k2bNk2SoGqWUZBBQk4CibmJ1bKC7b8l5yXz9oG3S637IfYHUgtSq/X+ouoMbDDIZl3f+v3RazztGE35tA1oj85FV2rdXS3uKrNFMtuQTXpBOkVm2xM0isxFnM08y3N/PseIb0cw/ofxfHz0Y5Jyk8oOTO0CTW2/n0R0A7eqeT8110hQNaqal8DWSl4hqMZ8Ajc9C54h4KqDFsPg/t8goJmjoxPVSAaB1CD5hfmcSj/Fq3tf5UjKEXQuOsY2H8vdLe+uti6NLGMW2YXZNuvPZZ0j0ieyWu4tqlawayidgzqyP/mgVbneRc9DbR8g36DB291BwdngW6RiWc+XmbF7PlnGf8Zo3FyvD3fU60dOvglfD+tfU6n5qRxOPswnxz8h25hN/4j+3N7kdsI9w1GpVFbHns86z7gfxllay3ILc1lycAnbL2znf/3/V/b4o6j+4BkMOdZrmKFSF39ZVlULgWcwuHmAsZQFGnV+4OGYMVJ1kncY9JoFHSeAYgatN2hlgHRtJ4lQDRKdHs2kTZMwK2aguKtj5bGV7Evcx5KbllTLgl4uqrIHz3q6yC8BZxGYfZnXIkfzS2h31sT9SG5hLn1Cu3Ffo1sJPrwBY5fpjg6xBPWlw7Td+Qpf9X2CCyqFzMIsGnvUI/DcHnw+m0DePRvBI8JyfFp+Gq/vfZ0fYn+wlJ1KP8Xn0Z+zZugaq6623MJc3j74dqldhkdSjhCTEVN2IuQbAZN/gk1PwpmtoCgQ1AKGvQWBVdhC4BkKQ9+ADaX8fG5dVFwv7EetAa+aN8NSVB9JhGqI9IJ0Fv610JIE/dvR1KPEZcVVSyKkVXvRObgz+y/vL1Hnq/Ul0L3ERFJRQ3mf+grNXx8wvn5XbmlzO2ZXHd7n/8L99zGg1qDtdBflmf57pWXG2636x0S4JR1Cc+kQYesmEqb1Alc95KWAuXj8jYvZaHV8Qm6CVRJ0RYYhg3cPvcv8HvPRu+oByDZm8/vF323e+8ezP9IjvEfZAQY2gTuWQ1568Vghd+/iFpyq5OIGLW6FKU3gt9ch9TQEt4Q+c4sTLo38mhaiOsn/YTVEXlEex1OP26z/I/4PuoR2qfL7+hYaeKHNNKbsiScx958NbHUuOt7t9iyBRSUTM1Ezqf9/PJnq4l4Crx7c6+KO5qpuo6sl5SbxZ8KffH36awDGNBtDj/AeBOurLxlWBzX/54khu/hxhc4PF1frGak/x/1s81qb4zYzq/MsSyKkUqlwd3HHaDSWerynW+lJYUZBBnlFeahVavzd/XFz94HqnjHk7l087mjMcjDmFXeVaWvemC4haiNJhGoIFWp0LjqbM3/8tP7Vcl9tYToNvpzG6iEvcZpCjmSeJdIjlHa6UEK3LkTp+wwEyaq2zkDVbgzsX15qndJqBCqdn81zk3KTmLF1BtHp0Zayv5P/plVAK5bctKTakiF1RJfiMRiGkuPUzDc8jLoiXRRX5Xl6tS+3NR7NpydXlHr4oAbDrJ4XFBUQnRZtNUZvVNNRTG492X4rc2u9ZEyKEHYmS0TVEBqzFyMajyi1ToWKLsE9q+W+Lmo1ZMUT+vlkev/4LA8d+5Uh2/5HvU/Hook/gFpddiuCqEECmkCzUmY66fxQ9X0S3PQ2T/09/nerJOiK46nH2ZWwqyqjtKL2qYcy8bsSA4LN7e9C3fke0FhPcx/U0PZMrsENB+Oj/aflJqfAzF3NRtPEp3GJY6e2mIDOZP1+RKdHM3HTRI6kHAGKx+itObGGR359hOS85Aq/NiGEc5AWoZpCUTO58QgOXN7PqYzTlmIVKv7baQ4BSvVsQKnS+4NfJKTHQnZi8eMKjRvqgCbVcl9RDTyDYfgSiP0Ndr8Hhixofit0vQ98bbfqZRgy+OrUVzbrvzz1Jf0j+lfPelJqDaqwDsVTlLMSwJAJvo1QewSBrmR3lK9rMCMih/Nt7PdW5f7u/kxtMw1X1T9daR7qQty2L+GDphM5qjLyQ9JefF31jArrRf1zeyDnIlA8IzKjIIPX/nqt1DF6J9NOcjbzrMNWuBZCVC9JhGoIP3M6bl9MZGmfOZx11/N76mEC3XzoF9CO4AOf4lqkhZBqmMbuFQoj34dVw+HqNYuGvlH1A0NF9fIKgXZ3QpOBxYN7dX6gub5FCa9zX+ZrU6vBp17x4xo8cjKYpW/MoG7P8cn5n8kuzGZAcBeGBXXB68weMluEE+BVvEaAp5KN+sga3A98yE1+jegX3gl1UQLsWA7GXMyd06B5b6B4jN7hFNurXP8e/zvdw7pXzesVQtQokgjVEG4UQeoZgtY/RJBHEN2DW4ExBxIWgGLG7BVx7YtUVr3OMH0X7F4K8fvArxHc+CgENC1eVEw4H335x5T5an25NXIkx1KPlVo/vPHtNWZ1cbdz2/DY8gS9vevRqdVwivQReJ78A82P/wXvcPKj+gDFCZUaVfGaPwDpcajT46yupVL9MzJArVKjd9GTV5RX6n2ra4yeEMLxJBGqKVy04BMBmRcgN7m4e+Nf1PU7VeO93SCwKQxeWJx8uboXT2OuI8yKmbSCNBRFwVfri+t1tqA4m6z8Qtr7d6eJbxQxGWes6pr5NaOVT2eyCwrxcnf8++Kefqr4H1nxeOxeal2ZlYAr/9r2Qu8PbcfA/tIHS6vaj7f82wUvbms8mnWnVpc8DhU9Qvtcd+xCiJpJEqGawiu0eLXa9feXrPMIhPDO1R+Dixu41K2/fJNyk/g57me+PPUlRpORwZGDubP5ndTzvHY3TW1RZDYTlpvK0hZT2Z53gW8ubgcV3FHvJvro66HJz8BkqiHvR0R32PdR6XWBzXBx+9fS2a7u0GsmnPrJeuwbQOvR4P/PIGpjoYpJzcdwOPkvjv9r0LgKFS90notrgfyqFKK2UinVPgDAuWVlZeHj40NmZibe3tXcPZCbCoc+he2vQOH/N9EHt4IxK+Hf662IKnE57zIzfpnByfSTVuWBukA+HfppnUmGzIZclA0z0JxYD+GdyGg6EADf01sg4SCmNmNQ3bYEtVsN6CbNuAAf9oPclBJV5nGfoW4xtPRzjq2H4+vBzQt6zIDwjlbj33IyU9H98DBprYYSq/NkZ9pR/F096RvYnuD9a1A6TMEjqnpmbgohqkd5v7/lz5yaxCMAuj8IrW+HvLTi7jJ9IHjKbJXqcOjyoRJJEEBKfgpfRH/Bwx0erhPdZOqifEj7/y6nhAP4JhywqteknoKiPKgJiZBvBEz+Eb6ZBpf+Li5z94WbX0Dd0MYq0b4R0ONh6HhP8cDxUhYq9FDyUJ36kaBTPxKkD6BbcCsozIWEF/5/jF44SCIkRK0kiVBN46IF3wbFD1FtDEUG1sest1n/Y+yP3N3y7roxZdrNo7jlMan0wdIEtwZXD/vGVJag5nD3N5CXCiZj8cw4z7ASaw5ZUatBb3tBSZVKVfz/XpGh+Lpx1ltzqGrIYHEhRNWTBRVFnaRSqXBV227tcVO7ldjJvNZy1cGNj0Fpr1elhp4PF4+3qUk8AosTotC24FO/7CSoPPQB0HaszWpVy1uv7/pCiBpLEiFRJ7lp3BjbfJzN+juajsHfvQ4NHPePgnFrrafd6wNg/LriBTdrO1cd9J1b+sKT/Z+R3ciFqMWka0zUWY30DRhQvx9bL263Km/m14ybI25CrapDfye46aHpIHjg9+KByCpV8fg0r1BQV8+q5jWObwO490c492fx4GqPYOhyb/G6WjpfR0cnhKgmMmvsGuw6a0zYTZHJTPaZvzBnHeWUlz+fXfwVg7mQ20NvpKPGE/ccI7QZhY/ezdGhCkcwFRUngHWle1SIWkhmjQlRBlOREa/DH+Ny9At6eIXSqclAFLU77r+9DSmnIaQ1eU37gd5Ou46LmkUjvxqFqCvk/3ZRJ7mpzKjy/38tmuxEtAc/tT4gLw03dckNOIUQQtQudWgQhBD/ULnpMTUbZrPe3Lg/LmVMt64tCooKuJh9kZj0GOJz4jGajI4OSQgh7EpahESdpWk+CP54veT2C646VL1n1foNZ5Pzknn/7/fZELOBQnMhOhcdE1pMYEKrCQTqAh0dnhBC2IW0CIm6yzcC7t2E0mYMqIv/JlAi+8HUraj8Gpd5qrPLNGTy0p6X+PLUlxSaCwHIL8rno6Mf8fGRj8kvyndwhEIIYR8ya+waZNZYHWDIhfw0UBRw964TU6XjMuMYvmF4qXUuahe+G/kdEV4Rdo5KCCGqjswaE6K8tB7FjzokOS/ZZl2RuYhsY7YdoxFCCMeRrjEh6iAP15Ibj/6bVlO7x0cJIcQVkggJUQe5a3xp5N2o1LrOwV1wVcpOlIQQoraQREiIOsiQ587iXq8R5mG9h1aUbxQLuj2DwVjDNlkVQohqImOEhKiDGmmz0H01jU9vfJh4d08u5V0mwiOMsKwkAr+5n9xRqwEvR4d5XQpNhWQZs3DTuOHl5tyvRQhRfSQREqIO0uYnQ+IRgr9+gGA3Tzrq/CAvBQqLp83rCjOAeg6NsbLMipn47HjWRa/jj/g/8NH6cG/re2kX1I4AXYCjwxNC1DCSCAlRB6lNhn+eGHOKH/+uV4rsHFHVicuM464f7yK3MNdSdvDyQUZEjeDxLo/j6+7ruOCEEDWOjBESoi7yrmdZRLIEdx/Q+ds3niqSbczmjX1vWCVBV3x75lsScxNLOUsIUZc5TSL00ksv0bNnT/R6Pb6+vuU6R1EUnnvuOcLCwtDpdAwcOJDTp09Xb6BCOAPPIOj7ZOl1g14Gr7DS62q4bGM2f8T/YbN++8Xt9gtGCOEUnCYRMhqNjBkzhunTp5f7nNdee423336bpUuXsmfPHjw8PBg0aBAFBQXVGKkQTsDNA7pOgTtXQXDL4n3VwjvCPRugxa2gcd5ec5VKZbNOo9LYMRIhhDNwmt92CxYsAGDlypXlOl5RFBYvXsx//vMfRowYAcCqVasICQlhw4YNjBs3rrpCFcI56AOg1Qho0BNMRnB1Ly5zYj5uPvSr359fL2wttb5XvT52jkgIUdM5TSJUUbGxsSQmJjJw4EBLmY+PD927d2fXrl02EyGDwYDB8M9A0qysrGqPVTi//MJ8Ludf5tfzv5KYm0iver1o5teMEI8QR4d2bZ5Bjo6gyhQYXHik/cMcuLyfDEOGVd1dze5Eb5aFIoUQ1mptIpSYWDwoMiTE+osoJCTEUleahQsXWlqfhCiPgqICfrv4G0/seAKF4j2M155cSyPvRiy7eRlhns453sYZqUwGIvavYV33F/gheT+/JR/ET+vDxIhbaJpyFvIzcdZlAYQQ1cOhY4SeeuopVCpVmY+TJ0/aNaZ58+aRmZlpeVy4cMGu9xfOJzk/mad+f8qSBF0RlxXHO4feIb8o30GR1T2epnS0e96h3icjmXJiB++7RfG6QUu37x7Hb8sC9Od+cXSIQogaxqEtQnPmzGHy5MllHtO4ceNKXTs0NBSApKQkwsL++Ys8KSmJDh062DxPq9Wi1WordU9RN+1N3ItJMZVa92Psj8zoMAOdp2xiag8uaorHOwGa2N/wjv3Nut4oXd1CCGsOTYSCgoIICqqe8QmRkZGEhoaydetWS+KTlZXFnj17KjTzTIhrSS9It1lXZC6iyOy8ixM6G7XWC6V+V1QX95Zar2p6s50jEkLUdE4zff78+fMcOnSI8+fPYzKZOHToEIcOHSIn558VcVu0aMH69euB4im0M2fO5L///S/fffcdR44cYeLEiYSHhzNy5EgHvQpRG3UK7mKzrqlvU/QuejtGU8fp/VENea3UxSKVRr1R+0c6ICghRE3mNIOln3vuOT755BPL844dOwKwbds2+vXrB0B0dDSZmZmWY5544glyc3O5//77ycjIoFevXmzatAl3d9lZW1QdX00AXYM7s/fyfqtyFSrmdn4cxSQzlewquBVM2wZb5sO534tXye7+IKoOd4FnsKOjE0LUMCpFUZRrH1Z3ZWVl4ePjQ2ZmJt7e3o4OR9RAmRdPYMg9w5fpR1kb+z1ZxizaBLZhbouJNIs/jrHNZPz9nXt9HqeUn1m8h5pKXZwAqWUxRSHqkvJ+fztNi5AQNZXuwm/4bH6KB6Ju4o72j2J288D98gn8vp0D2ZcwthoFSCJkdzqf4ocQQpRBEiEhrpPGZARFwSVmKyExJVc0dnWakXhCCFH3yK9oIa6Tpkl/m3VK/W6o3KVVQgghaipJhIS4Xt71oF0pW7a4aFENfR30/vaPSQghRLlI15gQ10vvD7e8CE1vhp2LITcFGvWBPnPAT6ZrCyFETSaJkBBVwTMY2t4BjfuBuQi03uAm6wcJIURNJ4mQEFXJI9DREQghhKgAGSMkhBBCiDpLEiEhhBBC1FmSCAkhhBCizpJESAghhBB1liRCQgghhKizJBESQgghRJ0liZAQQggh6ixJhIQQQghRZ0kiJIQQQog6SxIhIYQQQtRZkggJIYQQos6SREgIIYQQdZYkQkIIIYSosyQREkIIIUSdJYmQEEIIIeosSYSEEEIIUWdJIiSEEEKIOksSISGEEELUWS6ODkAIIYSobRRFoaioCJPJ5OhQai2NRoOLiwsqleq6riOJkBBCCFGFjEYjly5dIi8vz9Gh1Hp6vZ6wsDDc3NwqfQ1JhIQQQogqYjabiY2NRaPREB4ejpub23W3WIiSFEXBaDSSnJxMbGwsTZs2Ra2u3GgfSYSEEEKIKmI0GjGbzURERKDX6x0dTq2m0+lwdXXl3LlzGI1G3N3dK3UdGSwthBBCVLHKtk6IiqmK91l+UkIIIYSosyQREkIIIeqQuLg4VCoVhw4dKvc5kydPZuTIkWUe069fP2bOnHldsTmCjBESQggh6pCIiAguXbpEYGCgo0OpESQREkIIIeoIo9GIm5sboaGhjg6lxnCarrGXXnqJnj17otfr8fX1Ldc5kydPRqVSWT0GDx5cvYEKIYQQVWDZsmWEh4djNputykeMGMF9993HmTNnGDFiBCEhIXh6etK1a1d++eUXq2MbNWrEiy++yMSJE/H29ub+++8v0TVmMpmYMmUKkZGR6HQ6mjdvzv/+979SY1qwYAFBQUF4e3vz4IMPYjQabcZvMBh4/PHHqVevHh4eHnTv3p3t27df13tSHZwmETIajYwZM4bp06dX6LzBgwdz6dIly+Ozzz6rpgiFEEKIqjNmzBhSU1PZtm2bpSwtLY1NmzYxYcIEcnJyGDp0KFu3buXgwYMMHjyY4cOHc/78eavrvPHGG7Rv356DBw/y7LPPlriP2Wymfv36fPnllxw/fpznnnuOp59+mi+++MLquK1bt3LixAm2b9/OZ599xjfffMOCBQtsxv/www+za9cu1q1bx+HDhxkzZgyDBw/m9OnT1/nOVDHFyaxYsULx8fEp17GTJk1SRowYcV33y8zMVAAlMzPzuq4jhBCi9svPz1eOHz+u5OfnV8n1RowYodx3332W5x988IESHh6umEymUo9v3bq1smTJEsvzhg0bKiNHjrQ6JjY2VgGUgwcP2rzvjBkzlNGjR1ueT5o0SfH391dyc3MtZe+//77i6elpiaVv377KY489piiKopw7d07RaDRKfHy81XUHDBigzJs3r+wXXQFlvd/l/f52mhahytq+fTvBwcE0b96c6dOnk5qa6uiQhBBCiHKZMGECX3/9NQaDAYA1a9Ywbtw41Go1OTk5PP7447Rs2RJfX188PT05ceJEiRahLl26XPM+7777Lp07dyYoKAhPT0+WLVtW4jrt27e3WiSyR48e5OTkcOHChRLXO3LkCCaTiWbNmuHp6Wl5/Pbbb5w5c6Yyb0W1qdWDpQcPHsyoUaOIjIzkzJkzPP300wwZMoRdu3ah0WhKPcdgMFg+cABZWVn2ClcIIYSwMnz4cBRF4YcffqBr1678/vvvLFq0CIDHH3+cLVu28MYbb9CkSRN0Oh133HFHiXE7Hh4eZd5j3bp1PP7447z55pv06NEDLy8vXn/9dfbs2VPpuHNyctBoNOzfv7/E962np2elr1sdHJoIPfXUU7z66qtlHnPixAlatGhRqeuPGzfO8u+2bdvSrl07oqKi2L59OwMGDCj1nIULF5bZ5ymEEELYi7u7O6NGjWLNmjXExMTQvHlzOnXqBMDOnTuZPHkyt99+O1CcfMTFxVX4Hjt37qRnz5489NBDlrLSWm3+/vtv8vPz0el0AOzevRtPT08iIiJKHNuxY0dMJhOXL1+md+/eFY7JnhyaCM2ZM4fJkyeXeUzjxo2r7H6NGzcmMDCQmJgYm4nQvHnzmD17tuV5VlZWqT9kIYQQwh4mTJjArbfeyrFjx7j77rst5U2bNuWbb75h+PDhqFQqnn322RIzzMqjadOmrFq1ip9//pnIyEhWr17N3r17iYyMtDrOaDQyZcoU/vOf/xAXF8f8+fN5+OGHS93molmzZkyYMIGJEyfy5ptv0rFjR5KTk9m6dSvt2rVj2LBhFX8jqolDE6GgoCCCgoLsdr+LFy+SmppKWFiYzWO0Wi1ardZuMQkhhBBluemmm/D39yc6Opq77rrLUv7WW29x33330bNnTwIDA3nyyScrNZzjgQce4ODBg4wdOxaVSsX48eN56KGH+Omnn6yOGzBgAE2bNqVPnz4YDAbGjx/P888/b/O6K1as4L///S9z5swhPj6ewMBAbrjhBm699dYKx1idVIqiKI4OojzOnz9PWloa3333Ha+//jq///47AE2aNLH0N7Zo0YKFCxdy++23k5OTw4IFCxg9ejShoaGcOXOGJ554guzsbI4cOVLuZCcrKwsfHx8yMzPx9vauttcnhBDC+RUUFBAbG0tkZGSld0MX5VfW+13e72+nGSz93HPP8cknn1ied+zYEYBt27bRr18/AKKjo8nMzARAo9Fw+PBhPvnkEzIyMggPD+eWW27hxRdflBYfIYQQQgBOlAitXLmSlStXlnnMvxu3dDodP//8czVHJYQQQghnVuvXERJCCCGEsEUSISGEEELUWZIICSGEEKLOkkRICCGEEHWWJEJCCCGEqLMkERJCCCFEneU00+eFEOJ6ZBuySTWkkmXIwsPVA393f/zc/RwdlhDCwSQREkLUepfzLvPa3tfYHLcZheL1xtoFtuO1Pq9Rz6ueg6MTQjiSdI0JIWq1vMI8lhxcws9xP1uSIIDDKYd5dNujpOanOjA6IWq3uLg4VCoVhw4dcnQoNkmLkBCiVkstSGXjmY2l1p1KP8XlvMsE6ALsHJUQ15aZZyQlx0hWQSHeOlcCPdzw0bs5OqxaRxIhIUStlleYR5FSZLP+ct5lWga0tGNEQlxbQkY+T359mN9Pp1jK+jQN5JXR7Qj31dklBqPRiJtb7U+8pGtMCFGr6V31uKhs/80Xog+xYzRCXFtmnrFEEgSw43QKT319mMw8Y7Xct1+/fjz88MPMnDmTwMBABg0axNGjRxkyZAienp6EhIRwzz33kJLyT1ybNm2iV69e+Pr6EhAQwK233sqZM2cqfG9FUWjSpAlvvPGGVfmhQ4dQqVTExMRc9+uzRRIhIUStFuAewK1Rt5Za18yvGUH6IDtHJETZUnKMJZKgK3acTiElp3oSIYBPPvkENzc3du7cySuvvMJNN91Ex44d2bdvH5s2bSIpKYk777zTcnxubi6zZ89m3759bN26FbVaze23347ZbK7QfVUqFffddx8rVqywKl+xYgV9+vShSZMmVfL6SiNdY0KIWk3vqufhFhMpMGTz84VfLQOm2we25ZWuT+Or0jo4QiGsZRUUllmffY3669G0aVNee+01AP773//SsWNHXn75ZUv98uXLiYiI4NSpUzRr1ozRo0dbnb98+XKCgoI4fvw4bdq0qdC9J0+ezHPPPcdff/1Ft27dKCwsZO3atSVaiaqatAgJIWo1Y3o8Iavv4LkiT77v/RZrb3yNDb0XscS3C/U/GYk5J9nRIQphxdvdtcx6r2vUX4/OnTtb/v3333+zbds2PD09LY8WLVoAWLq/Tp8+zfjx42ncuDHe3t40atQIgPPnz1f43uHh4QwbNozly5cD8P3332MwGBgzZsx1vqqySYuQEKJ2y0+DjDi8/lyC159LSlSbU2MgMNIBgQlRukBPN/o0DWRHKd1jfZoGEuhZfQOYPTw8LP/Oyclh+PDhvPrqqyWOCwsLA2D48OE0bNiQDz/8kPDwcMxmM23atMForFz33dSpU7nnnntYtGgRK1asYOzYsej1+sq9mHKSREgIUasp12j4VtDYKRIhysdH78Yro9vx1NeHrZKhPk0DeXV0O7tNoe/UqRNff/01jRo1wsWlZLqQmppKdHQ0H374Ib179wbgjz/+uK57Dh06FA8PD95//302bdrEjh07rut65SGJkBCiVjO7+4F/Y0g7W7LSxR1VQGP7ByXENYT76lgyviMpOUayCwrxcncl0NO+6wjNmDGDDz/8kPHjx/PEE0/g7+9PTEwM69at46OPPsLPz4+AgACWLVtGWFgY58+f56mnnrque2o0GiZPnsy8efNo2rQpPXr0qKJXY5uMERJC1GpuvmHk3/oeuJQcFJ03eBEmmTUmaigfvRtRwZ50aOBHVLCn3RdTDA8PZ+fOnZhMJm655Rbatm3LzJkz8fX1Ra1Wo1arWbduHfv376dNmzbMmjWL119//brvO2XKFIxGI/fee28VvIprUymKolz7sLorKysLHx8fMjMz8fb2dnQ4QohKyM3LR511AfavRJe4D6NvJIVdHkTxi8TT29fR4YlapKCggNjYWCIjI3F3d3d0OE7p999/Z8CAAVy4cIGQkLLX+Srr/S7v97d0jQkhaj0PvQ70zcjq/yxFxjzMLlp8PD0dHZYQ4l8MBgPJyck8//zzjBkz5ppJUFWRrjEhRJ3hrdfh5RsgSZAQDvDggw9aTcX/9+PBBx/ks88+o2HDhmRkZFjWMrIH6Rq7BukaE0IIUV7SNWbb5cuXycrKKrXO29ub4ODgCl9TusaEEEII4RSCg4MrlexUN+kaE0IIIUSdJS1CQlRQekE6aQVp5Bfl4+3mTYAuAA9Xj2ufKIQQosaRREiICriYfZEndjzBkZQjAKhVakZEjeCRjo/ILuZCCOGEpGtMiHJKyU/hoa0PWZIgALNiZn3MepYfXY6hyODA6IQQQlSGJEJClNOl3EvEZsaWWvdF9Bek5JfcIFEIIUTNJomQEOUUnx1vs85oNpJXlGfHaIQQwr4UReG5554jLCwMnU7HwIEDOX36tNUxjRo1QqVSWT1eeeUVB0VcPpIICVFO4Z7hNutc1a7oXHR2jEYIUevlp0PKKbi4D1JOFz93oNdee423336bpUuXsmfPHjw8PBg0aBAFBQVWx73wwgtcunTJ8njkkUccFHH5SCIkRDmF6ENp6N2w1Lrbm9xOoC7QzhEJIWqtzHj48j54pyt8NADe6QJfTSkurya5ublMnDgRT09PwsLCePPNN+nXrx8zZ85EURQWL17Mf/7zH0aMGEG7du1YtWoVCQkJbNiwweo6Xl5ehIaGWh4eHjV7Vq0kQkKUk5dR4b2u/6G5X3NLmQoVQyIGcH+DIZgKzQ6MTghRa+Snw7cPw9lfrcvPbIXvHqm2lqG5c+fy22+/8e2337J582a2b9/OgQMHAIiNjSUxMZGBAwdajvfx8aF79+7s2rXL6jqvvPIKAQEBdOzYkddff52ioqJqibeqyPR5IcpJnZ1Ag8/v5oPes0hv+yC5JiO+Gi3+p7fhtXo0hqm/ga6Ro8MUQji73OSSSdAVZ7YW1+v8qvSWOTk5fPzxx3z66acMGDAAgE8++YT69esDkJiYCFBiI9SQkBBLHcCjjz5Kp06d8Pf3588//2TevHlcunSJt956q0rjrUqSCAmHySvMI7UglYKiAjxcPQjSBeGqcXV0WLalnoHcZAI2PU0AgEoF/96qz5jjqMiEELVJQen7cZW7vhLOnDmD0Wike/fuljJ/f3+aN29exlklzZ492/Lvdu3a4ebmxgMPPMDChQvRarVVFm9Vcoqusbi4OKZMmUJkZCQ6nY6oqCjmz5+P0Wgs87yCggJmzJhBQEAAnp6ejB49mqSkJDtFLcqSlJvE/D/nM3z9cEZ9N4rbv72dj49+TGp+qqNDs0njV8+64N9JkNoFtZvevgEJIWon92ts8H2t+moQGhoKUOI7NCkpyVJXmu7du1NUVERcXFx1hnddnCIROnnyJGazmQ8++IBjx46xaNEili5dytNPP13mebNmzeL777/nyy+/5LfffiMhIYFRo0bZKWphS1p+Gk/seIJNcZswKSYA8oryePfQu3x16isKTYUOjtAGnwjwrldqlanVKDReIaXWCSFEhXgEQdSA0uuiBhTXV7GoqChcXV3Zs2ePpSw9PZ1Tp04BEBkZSWhoKFu3brXUZ2VlsWfPHnr06GHzuocOHUKtVtfIzVavcIquscGDBzN48GDL88aNGxMdHc3777/PG2+8Ueo5mZmZfPzxx6xdu5abbroJgBUrVtCyZUt2797NDTfcYJfYRUmX8y9z4PKBUuuWH13O8KjhZU5VdxRXv/qYJnyDZu0dkHnBUm5u1Adl4PNotDV7ZoQQwkno/OC2JcUDo8/8k3gQNaC4vIrHBwF4enoyZcoU5s6dS0BAAMHBwTzzzDOo1cXtJSqVipkzZ/Lf//6Xpk2bEhkZybPPPkt4eDgjR44EYNeuXezZs4f+/fvj5eXFrl27mDVrFnfffTd+flUfc1VxikSoNJmZmfj7+9us379/P4WFhVYj3Fu0aEGDBg3YtWuXzUTIYDBgMPyzVUJWVtX3xdZ157LO2azLK8ojtzDXjtFUjCakBeYpm1Ey41FyklH5NUTjFYraI8DRoQkhahOfenDHx8UDowuyirvDPIKqJQm64vXXXycnJ4fhw4fj5eXFnDlzyMzMtNQ/8cQT5Obmcv/995ORkUGvXr3YtGkT7u7uAGi1WtatW8fzzz+PwWAgMjKSWbNmWY0bqomcMhGKiYlhyZIlNluDoHiEu5ubG76+vlblV49wv9rChQtZsGBBVYUqShGst91Eqlapcde42zGailN7h4N3zWuxEkLUMjq/ak18rubp6cnq1atZvXq1peyHH36w/FulUvHCCy/wwgsvlHp+p06d2L17d7XHWdUcOkboqaeeKrEU99WPkydPWp0THx/P4MGDGTNmDNOmTavymObNm0dmZqblceHChWufJCok3CPcZjJ0c4OB+Otst/QJIYQQVcmhLUJz5sxh8uTJZR7TuHFjy78TEhLo378/PXv2ZNmyZWWeFxoaitFoJCMjw6pV6Foj3LVabY2d4ldbBJgUPui+gAf2zOdy3mVLeYfAtjzebDwesi6hEEIIO3FoIhQUFERQUPlGv8fHx9O/f386d+7MihUrLAO4bOncuTOurq5s3bqV0aNHAxAdHc358+fLHOEu7CAtjibfPcLam+aRoNVzuSCVhh5hBCfH4L9qNIVTt+GqbXzt6wghhKhW27dvd3QI1c4pxgjFx8fTr18/GjZsyBtvvEFycrKl7krrTnx8PAMGDGDVqlV069YNHx8fpkyZwuzZs/H398fb25tHHnmEHj16yIwxByvKiMcl7SwhX00jxM0DtN6Qlwqm4nWhFKPs4i6EEMI+nCIR2rJlCzExMcTExFiW+75C+f9F7QoLC4mOjiYv758v0UWLFqFWqxk9ejQGg4FBgwbx3nvv2TV2UZLiH/nPE2Nu8eMKVx1mV5mGLoQQwj5UivLv5XHF1bKysvDx8SEzMxNvb/uv5lkb5aZdQvfFONSJh0rU5XV/jKLeT+LtKcmQEML5FBQUEBsbS2RkpGVauag+Zb3f5f3+doqVpUXtovYKJmvkSkxRNxfv1wXgoiWvywwKuzwgSZAQQgi7cYquMVG76Fw1FPnWJ2XQeyi5ySiGXFQ6HzTeofh5ezk6PCGEEHWIJELCIbzcXfFyD8ZQFICh0IzeTYOLRhoohRBC2JckQsKhtC4atC6aSp2bmJvIuaxznMs6R2OfxjTwblDmqtVCCCHE1eRPcOGUzmacZcKPE5i6eSov7n6Re3++l4k/TeR81nlHhyaEELVSUlISkydPJjw8HL1ez+DBgzl9+rTVMf369SuxQ8SDDz7ooIjLRxIh4XSS85J5dNujVqtSA8TnxDN3x1zS89MdFJkQQlSdTEMmsZmxHE4+TGxmLJmGzGufVE0URWHkyJGcPXuWb7/9loMHD9KwYUMGDhxIbq71RtnTpk3j0qVLlsdrr73moKjLR7rGhNNJK0izuYP98dTjpBnS8LPjRoVCCFHVEnMTmf/nfP5M+NNSdmP4jTzf83lCPWxvE3U9cnNzmT59Ot988w1eXl48/vjjfP/993To0IGHHnqI3bt3c/ToUVq3bg3A+++/T2hoKJ999hlTp061XEev15e5lVVNIy1CwunkFuaWWV9QVGCnSIQQouplGjJLJEEAOxN28vyfz1dby9DcuXP57bff+Pbbb9m8eTPbt2/nwIEDABgMBgCrtXrUajVarZY//vjD6jpr1qwhMDCQNm3aMG/ePKuFjmsiaRESTidAF4AKFQol1wJ1Ubvgo/VxQFRCCFE10grSSiRBV+xM2ElaQVqV/57Lycnh448/5tNPP2XAgAEAfPLJJ5bdHFq0aEGDBg2YN28eH3zwAR4eHixatIiLFy9y6dIly3XuuusuGjZsSHh4OIcPH+bJJ58kOjqab775pkrjrUqSCAmnE+AewIio29hw5tsSdeObjyNAF+CAqIQQompkG7Ovq74yzpw5g9FopHv37pYyf39/mjdvDoCrqyvffPMNU6ZMwd/fH41Gw8CBAxkyZAj/3qDi/vvvt/y7bdu2hIWFMWDAAM6cOUNUVFSVx10VpGtMOB1Xs5pHosYwpdk4dC46ADxdPXm45SQmRwzGRancdHwhhKgJvNzKXlj2WvXVpXPnzhw6dIiMjAwuXbrEpk2bSE1NpXHjxjbPuZJYxcTE2CvMCpNESDgdVU4SwSuGMOP8CTZ0fobver7CNx3mMiXmL4I/uQ1zVqKjQxRCiErzd/fnxvAbS627MfxG/N39q/yeUVFRuLq6smfPHktZeno6p06dKnGsj48PQUFBnD59mn379jFixAib1z106BAAYWFhVR5zVZGuMeF8cpLAmIvrie8JP/F9iWpVXgoENHBAYEIIcf18tD483/N5nv/zeXYm7LSUX5k1Vh3jID09PZkyZQpz584lICCA4OBgnnnmGdTqf9pLvvzyS4KCgmjQoAFHjhzhscceY+TIkdxyyy1Acffa2rVrGTp0KAEBARw+fJhZs2bRp08f2rVrV+UxVxVJhITzUV/jY6uWrjEhhHML9Qjl1T6vklaQRrYxGy83L/zd/at1Msjrr79OTk4Ow4cPx8vLizlz5pCZ+c8MtUuXLjF79mySkpIICwtj4sSJPPvss5Z6Nzc3fvnlFxYvXkxubi4RERGMHj2a//znP9UWc1WQREg4H49g0PlBaQsneoejyGBpIUQt4KP1sessWE9PT1avXs3q1astZT/88IPl348++iiPPvqozfMjIiL47bffqjXG6iBjhITTcfEJp3DkhyVbfjRuFI5chtavnmMCE0II4XSkRUg4HbWLC+ZGN1L0wJ8o+1fimnKCwpAOqDrejdqvIahUjg5RCCGEk5BESDglF60eQlrAoJfAVICri7uMDRJCiCq2fft2R4dQ7SQREs5NowGNh6OjEEII4aRkjJAQQggh6ixJhIQQQogq9u9tJ0T1qYr3WRIhIYQQooq4uroC1Pgd12uLK+/zlfe9MmSMkBBCCFFFNBoNvr6+XL58GQC9Xo9KZrJWOUVRyMvL4/Lly/j6+qLRVH6yjCRCQgghRBUKDQ0FsCRDovr4+vpa3u/KkkRICCGEqEIqlYqwsDCCg4MpLCx0dDi1lqur63W1BF0hiZAQQghRDTQaTZV8UYvqJYOlhRBCCFFnSSIkhBBCiDpLEiEhhBBC1FkyRugarizWlJWV5eBIhBBCCFFeV763r7XooiRC15CamgpARESEgyMRQgghREVlZ2fj4+Njs14SoWvw9/cH4Pz582W+kaJisrKyiIiI4MKFC3h7ezs6nFpB3tPqIe9r1ZP3tHrI+2pNURSys7MJDw8v8zhJhK5BrS4eRuXj4yMfrGrg7e0t72sVk/e0esj7WvXkPa0e8r7+ozwNGDJYWgghhBB1liRCQgghhKizJBG6Bq1Wy/z589FqtY4OpVaR97XqyXtaPeR9rXrynlYPeV8rR6Vca16ZEEIIIUQtJS1CQgghhKizJBESQgghRJ0liZAQQggh6ixJhIQQQghRZ0kiVAG33XYbDRo0wN3dnbCwMO655x4SEhIcHZZTi4uLY8qUKURGRqLT6YiKimL+/PkYjUZHh+bUXnrpJXr27Iler8fX19fR4Titd999l0aNGuHu7k737t3566+/HB2SU9uxYwfDhw8nPDwclUrFhg0bHB1SrbBw4UK6du2Kl5cXwcHBjBw5kujoaEeH5TQkEaqA/v3788UXXxAdHc3XX3/NmTNnuOOOOxwdllM7efIkZrOZDz74gGPHjrFo0SKWLl3K008/7ejQnJrRaGTMmDFMnz7d0aE4rc8//5zZs2czf/58Dhw4QPv27Rk0aBCXL192dGhOKzc3l/bt2/Puu+86OpRa5bfffmPGjBns3r2bLVu2UFhYyC233EJubq6jQ3MKMn3+Onz33XeMHDkSg8GAq6uro8OpNV5//XXef/99zp496+hQnN7KlSuZOXMmGRkZjg7F6XTv3p2uXbvyzjvvAGA2m4mIiOCRRx7hqaeecnB0zk+lUrF+/XpGjhzp6FBqneTkZIKDg/ntt9/o06ePo8Op8aRFqJLS0tJYs2YNPXv2lCSoimVmZlo2uxXCEYxGI/v372fgwIGWMrVazcCBA9m1a5cDIxPi2jIzMwHk92g5SSJUQU8++SQeHh4EBARw/vx5vv32W0eHVKvExMSwZMkSHnjgAUeHIuqwlJQUTCYTISEhVuUhISEkJiY6KCohrs1sNjNz5kxuvPFG2rRp4+hwnEKdT4SeeuopVCpVmY+TJ09ajp87dy4HDx5k8+bNaDQaJk6ciPQullTR9xUgPj6ewYMHM2bMGKZNm+agyGuuyrynQoi6ZcaMGRw9epR169Y5OhSn4eLoABxtzpw5TJ48ucxjGjdubPl3YGAggYGBNGvWjJYtWxIREcHu3bvp0aNHNUfqXCr6viYkJNC/f3969uzJsmXLqjk651TR91RUXmBgIBqNhqSkJKvypKQkQkNDHRSVEGV7+OGH2bhxIzt27KB+/fqODsdp1PlEKCgoiKCgoEqdazabATAYDFUZUq1Qkfc1Pj6e/v3707lzZ1asWIFaXecbKkt1PZ9VUTFubm507tyZrVu3Wgbzms1mtm7dysMPP+zY4IS4iqIoPPLII6xfv57t27cTGRnp6JCcSp1PhMprz5497N27l169euHn58eZM2d49tlniYqKktag6xAfH0+/fv1o2LAhb7zxBsnJyZY6+cu78s6fP09aWhrnz5/HZDJx6NAhAJo0aYKnp6djg3MSs2fPZtKkSXTp0oVu3bqxePFicnNzuffeex0dmtPKyckhJibG8jw2NpZDhw7h7+9PgwYNHBiZc5sxYwZr167l22+/xcvLyzKOzcfHB51O5+DonIAiyuXw4cNK//79FX9/f0Wr1SqNGjVSHnzwQeXixYuODs2prVixQgFKfYjKmzRpUqnv6bZt2xwdmlNZsmSJ0qBBA8XNzU3p1q2bsnv3bkeH5NS2bdtW6udy0qRJjg7Nqdn6HbpixQpHh+YUZB0hIYQQQtRZMhhDCCGEEHWWJEJCCCGEqLMkERJCCCFEnSWJkBBCCCHqLEmEhBBCCFFnSSIkhBBCiDpLEiEhhBBC1FmSCAkhhBCizpJESAhR523fvp1OnTqh1Wpp0qQJK1eudHRIQgg7kURICFGnxcbGMmzYMPr378+hQ4eYOXMmU6dO5eeff3Z0aEIIO5AtNoQQtVpycjJt27bl0Ucf5emnnwbgzz//pF+/fvz0009s3ryZH374gaNHj1rOGTduHBkZGWzatMlRYQsh7ERahIQQtVpQUBDLly/n+eefZ9++fWRnZ3PPPffw8MMPM2DAAHbt2sXAgQOtzhk0aBC7du1yUMRCCHtycXQAQghR3YYOHcq0adOYMGECXbp0wcPDg4ULFwKQmJhISEiI1fEhISFkZWWRn5+PTqdzRMhCCDuRFiEhRJ3wxhtvUFRUxJdffsmaNWvQarWODkkIUQNIIiSEqBPOnDlDQkICZrOZuLg4S3loaChJSUlWxyYlJeHt7S2tQULUAdI1JoSo9YxGI3fffTdjx46lefPmTJ06lSNHjhAcHEyPHj348ccfrY7fsmULPXr0cFC0Qgh7klljQohab+7cuXz11Vf8/fffeHp60rdvX3x8fNi4cSOxsbG0adOGGTNmcN999/Hrr7/y6KOP8sMPPzBo0CBHhy6EqGaSCAkharXt27dz8803s23bNnr16gVAXFwc7du355VXXmH69Ols376dWbNmcfz4cerXr8+zzz7L5MmTHRu4EMIuJBESQvxfu3ZMAAAAABCsf2tBbCkcALbM0gDAlhACALaEEACwJYQAgC0hBABsCSEAYEsIAQBbQggA2BJCAMCWEAIAtoQQALAlhACArQBFK2gSTjWQFgAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "## plot QR results\n", + "import pandas as pd\n", + "import seaborn as sns\n", + "import warnings\n", + "import matplotlib.pyplot as plt\n", + "warnings.filterwarnings(\"ignore\", \"is_categorical_dtype\")\n", + "\n", + "n_sample = 50\n", + "X_sample, y_sample = X[:n_sample], y[:n_sample]\n", + "q05_sample = pipe5.predict(X_sample)\n", + "q95_sample = pipe95.predict(X_sample)\n", + "\n", + "df = pd.DataFrame({'x0': X_sample[:,0], 'real_y': y_sample, 'q05': q05_sample, 'q95': q95_sample})\n", + "df = df.melt(id_vars='x0')\n", + "\n", + "sns.scatterplot(data=df, x='x0', y='value', hue='variable').set_title('Ridge Quantile Regression')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NjwuUVoGhQnp" + }, + "source": [ + "## Hyperparameter Tuning with GridSearchCV\n", + "\n", + "Due to its compatibility with the scikit-learn API, `GridSearchCV` can be applied to determine the optimal hyperparameters for the ReHLine model." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "BIai5NqMii3j", + "outputId": "0144dd7d-ec6d-44cf-9191-59d6764121d5" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best Parameters (qt=0.05): {'reg__C': 0.01}\n", + "Best CV Score (qt=0.05): 0.0008\n", + "Best Parameters (qt=0.95): {'reg__C': 0.01}\n", + "Best CV Score (qt=0.95): 0.0008\n" + ] + } + ], + "source": [ + "from sklearn.model_selection import GridSearchCV\n", + "from sklearn.metrics import make_scorer, mean_pinball_loss\n", + "import warnings\n", + "warnings.filterwarnings(\"ignore\")\n", + "\n", + "# Define the parameter grid to search\n", + "param_grid = {'reg__C': [100.0/n, 10.0/n, 1.0/n]}\n", + "\n", + "# Use negative pinball\n", + "scorer05 = make_scorer(mean_pinball_loss, alpha=0.05, greater_is_better=False)\n", + "scorer95 = make_scorer(mean_pinball_loss, alpha=0.95, greater_is_better=False)\n", + "\n", + "# Create the GridSearchCV objects\n", + "grid_search5 = GridSearchCV(pipe5, param_grid, cv=5, scoring=scorer05)\n", + "grid_search95 = GridSearchCV(pipe95, param_grid, cv=5, scoring=scorer95)\n", + "\n", + "grid_search5.fit(X, y)\n", + "grid_search95.fit(X, y)\n", + "\n", + "# Print the best parameters and scores\n", + "print(f\"Best Parameters (qt=0.05): {grid_search5.best_params_}\")\n", + "print(f\"Best CV Score (qt=0.05): {-grid_search5.best_score_:.4f}\")\n", + "\n", + "print(f\"Best Parameters (qt=0.95): {grid_search95.best_params_}\")\n", + "print(f\"Best CV Score (qt=0.95): {-grid_search95.best_score_:.4f}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 445 + }, + "id": "mv4sgOk8h5Ww", + "outputId": "5bdad76c-fa09-408b-f98a-a76dfd3d15f0" + }, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import pandas as pd\n", + "import seaborn as sns\n", + "import warnings\n", + "import matplotlib.pyplot as plt\n", + "\n", + "warnings.filterwarnings(\"ignore\", \"is_categorical_dtype\")\n", + "warnings.filterwarnings(\"ignore\", \"use_inf_as_na\")\n", + "\n", + "n_sample = 50\n", + "X_sample, y_sample = X[:n_sample], y[:n_sample]\n", + "q05_sample = grid_search5.predict(X_sample)\n", + "q95_sample = grid_search95.predict(X_sample)\n", + "\n", + "df = pd.DataFrame({'x0': X_sample[:, 0], 'real_y': y_sample, 'q05_pred': q05_sample, 'q95_pred': q95_sample})\n", + "df = df.melt(id_vars='x0')\n", + "\n", + "sns.scatterplot(data=df, x='x0', y='value', hue='variable').set_title(\"Ridge Quantile Regression(C=100.0/n)\")\n", + "plt.show()" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "name": "python" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/doc/source/examples/SVM_new.ipynb b/doc/source/examples/SVM_new.ipynb new file mode 100644 index 0000000..f0f0fdb --- /dev/null +++ b/doc/source/examples/SVM_new.ipynb @@ -0,0 +1,1179 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "6HttM9ZponV3" + }, + "source": [ + "# SVM\n", + "[![Slides](https://img.shields.io/badge/🦌-ReHLine-blueviolet)](https://rehline-python.readthedocs.io/en/latest/)\n", + "\n", + "SVMs solve the following optimization problem:\n", + "$$\n", + " \\min_{\\mathbf{\\beta} \\in \\mathbb{R}^d} \\ C \\sum_{i=1}^n ( 1 - y_i \\mathbf{\\beta}^\\intercal \\mathbf{x}_i )_+ + \\frac{1}{2} \\| \\mathbf{\\beta} \\|_2^2\n", + "$$\n", + "where $\\mathbf{x}_i \\in \\mathbb{R}^d$ is a feature vector, and $y_i \\in \\{-1, 1\\}$ is a binary label.\n", + "\n", + "> **Note.** Since the hinge loss is a plq function, we can optimize it using `rehline.plq_Ridge_Classifier`. \n", + "> Moreover, this wrapper adapts the `plqERM_Ridge` into a classifier, compatible with the scikit-learn API." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "EeKZkco6pZ6P" + }, + "outputs": [], + "source": [ + "## install rehline\n", + "%pip install rehline -q" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "OW25uH0Trqxn" + }, + "outputs": [], + "source": [ + "## set up plotting style\n", + "import seaborn as sns\n", + "import matplotlib.pyplot as plt\n", + "custom_palette = ['#FFE4E1', '#3D325C']\n", + "sns.set_palette(custom_palette)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "NVVj0auob6c6" + }, + "outputs": [], + "source": [ + "## simulate data\n", + "from sklearn.datasets import make_classification\n", + "from sklearn.preprocessing import StandardScaler\n", + "import numpy as np\n", + "\n", + "scaler = StandardScaler()\n", + "\n", + "n, d = 10000, 5\n", + "X, y = make_classification(n_samples=n, n_features=d, random_state=42)\n", + "y = 2*y - 1\n", + "X = scaler.fit_transform(X)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 80 + }, + "id": "WpgI_saqFj-r", + "outputId": "99ff09a9-0574-477b-ab4f-2f844936fa73" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
plq_Ridge_Classifier(loss={'name': 'svm'})
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" + ], + "text/plain": [ + "plq_Ridge_Classifier(loss={'name': 'svm'})" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "## solve SVM via `plq_Ridge_Classifier`\n", + "from rehline import plq_Ridge_Classifier\n", + "import warnings\n", + "warnings.filterwarnings(\"ignore\")\n", + "\n", + "clf = plq_Ridge_Classifier(loss={'name': 'svm'}, C=1.0)\n", + "clf.fit(X=X, y=y)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 451 + }, + "id": "x2PIL0esFrQ6", + "outputId": "885c1f16-af12-40ac-ae2d-40bd913e7b67" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import seaborn as sns\n", + "import pandas as pd\n", + "import warnings\n", + "import matplotlib.pyplot as plt\n", + "warnings.filterwarnings(\"ignore\", \"is_categorical_dtype\")\n", + "warnings.filterwarnings(\"ignore\", \"use_inf_as_na\")\n", + "\n", + "score = clf.decision_function(X)\n", + "df = pd.DataFrame({'score': score, 'y': y})\n", + "sns.histplot(df, x=\"score\", hue=\"y\").set_title('SVM')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "CM7MOVXrtBQ2" + }, + "source": [ + "## With Pipeline\n", + "`plq_Ridge_Classifier` can be integrated into a scikit-learn Pipeline to streamline preprocessing including scaling." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "id": "_MKFw7E4pF1b" + }, + "outputs": [], + "source": [ + "## simulate data\n", + "from sklearn.datasets import make_classification\n", + "from sklearn.preprocessing import StandardScaler\n", + "from sklearn.pipeline import Pipeline\n", + "import numpy as np\n", + "\n", + "n, d = 10000, 5\n", + "X, y = make_classification(n_samples=n, n_features=d, random_state=42)\n", + "y = 2*y -1" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 155 + }, + "id": "VHj2Y6zOLb1M", + "outputId": "e4c560ed-70d0-4dae-e0c4-21f2deb702d5" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
Pipeline(steps=[('scaler', StandardScaler()),\n",
+              "                ('clf', plq_Ridge_Classifier(loss={'name': 'svm'}))])
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" + ], + "text/plain": [ + "Pipeline(steps=[('scaler', StandardScaler()),\n", + " ('clf', plq_Ridge_Classifier(loss={'name': 'svm'}))])" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "## solve SVM via `plq_Ridge_Classifier`\n", + "from rehline import plq_Ridge_Classifier\n", + "\n", + "pipe = Pipeline([\n", + " ('scaler', StandardScaler()),\n", + " ('clf', plq_Ridge_Classifier(loss={'name': 'svm'}, C=1.0))\n", + "])\n", + "pipe.fit(X=X, y=y)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 451 + }, + "id": "ogQFzB34LdvI", + "outputId": "8f08ba52-fb13-49e1-c6c6-994e4daddd7a" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import seaborn as sns\n", + "import pandas as pd\n", + "import warnings\n", + "import matplotlib.pyplot as plt\n", + "warnings.filterwarnings(\"ignore\", \"is_categorical_dtype\")\n", + "warnings.filterwarnings(\"ignore\", \"use_inf_as_na\")\n", + "\n", + "score = pipe.decision_function(X)\n", + "df = pd.DataFrame({'score': score, 'y': y})\n", + "sns.histplot(df, x=\"score\", hue=\"y\").set_title('SVM')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "6D9y1VfwMEL5" + }, + "source": [ + "## Hyperparameter Tuning with GridSearchCV\n", + "\n", + "Due to its compatibility with the scikit-learn API, `GridSearchCV` can be applied to determine the optimal hyperparameters for the ReHLine model." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Ln5yeSHzMALz", + "outputId": "9913da34-80df-4dc4-eba2-2ee4c490f76e" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best Parameters: {'clf__C': 0.1}\n", + "Best CV Accuracy: 0.8922\n" + ] + } + ], + "source": [ + "from sklearn.model_selection import GridSearchCV\n", + "from sklearn.exceptions import ConvergenceWarning\n", + "warnings.filterwarnings(\"ignore\", category=ConvergenceWarning)\n", + "\n", + "# Define the parameter grid to search\n", + "param_grid = {'clf__C': [0.1, 1.0, 10.0]}\n", + "\n", + "# Create the GridSearchCV object\n", + "grid_search = GridSearchCV(pipe, param_grid, cv=5)\n", + "grid_search.fit(X, y)\n", + "\n", + "# Print the best parameters and score\n", + "print(f\"Best Parameters: {grid_search.best_params_}\")\n", + "print(f\"Best CV Accuracy: {grid_search.best_score_:.4f}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 451 + }, + "id": "LYkflLvuMcrB", + "outputId": "ba2062b4-f12e-46df-d926-57dae46e3ca5" + }, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import seaborn as sns\n", + "import pandas as pd\n", + "import warnings\n", + "import matplotlib.pyplot as plt\n", + "warnings.filterwarnings(\"ignore\", \"is_categorical_dtype\")\n", + "warnings.filterwarnings(\"ignore\", \"use_inf_as_na\")\n", + "\n", + "score = grid_search.decision_function(X)\n", + "df = pd.DataFrame({'score': score, 'y': y})\n", + "sns.histplot(data=df, x=\"score\", hue=\"y\").set_title(\"SVM (C=0.1)\")\n", + "plt.show()" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "name": "python" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/doc/source/examples/SVR_new.ipynb b/doc/source/examples/SVR_new.ipynb new file mode 100644 index 0000000..efb4f47 --- /dev/null +++ b/doc/source/examples/SVR_new.ipynb @@ -0,0 +1,1210 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "ofNokKz6XDRq" + }, + "source": [ + "# SVR\n", + "\n", + "[![Slides](https://img.shields.io/badge/🦌-ReHLine-blueviolet)](https://rehline-python.readthedocs.io/en/latest/)\n", + "\n", + "SVR (Support Vector Regression) solves the following optimization problem:\n", + "\n", + "$$\n", + "\\min_{\\beta \\in \\mathbb{R}^d}\n", + "\\sum_{i=1}^n \\left(\\left|y_i-\\mathbf{x}_i^\\top \\beta\\right|-\\epsilon\\right)_+\n", + "+\\frac{\\lambda}{2}\\|\\beta\\|^2\n", + "$$\n", + "\n", + "where $\\mathbf{x}_i \\in \\mathbb{R}^d$ is a feature vector, and $y_i \\in \\mathbb{R}$ is a continuous response variable." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "> **Note.** Since the Huber loss is a plq function, we can optimize it using `rehline.plq_Ridge_Regressor`. \n", + "> Moreover, this wrapper adapts the `plqERM_Ridge` into a regressor, compatible with the scikit-learn API." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "NjjjqDBE4pkX" + }, + "outputs": [], + "source": [ + "## install rehline\n", + "%pip install rehline -q" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "sIbawm0_3iq9" + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "import seaborn as sns\n", + "import warnings\n", + "from sklearn.datasets import make_regression\n", + "from sklearn.preprocessing import StandardScaler" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "eq-Bqnt14Xcf" + }, + "outputs": [], + "source": [ + "# Simulate data\n", + "np.random.seed(42)\n", + "scaler_svr = StandardScaler()\n", + "\n", + "n, d = 10000, 5\n", + "X, y = make_regression(n_samples=n, n_features=d, noise=1.0)\n", + "X = scaler_svr.fit_transform(X)\n", + "y = y / y.std()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 80 + }, + "id": "HgExVVV54a58", + "outputId": "e3bd1fc8-f4c4-49e9-83df-3b3ccfceb0cc" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
plq_Ridge_Regressor(loss={'epsilon': 0.1, 'name': 'svr'})
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" + ], + "text/plain": [ + "plq_Ridge_Regressor(loss={'epsilon': 0.1, 'name': 'svr'})" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "## solve SVR via `plq_Ridge_Regressor`\n", + "from rehline import plq_Ridge_Regressor\n", + "\n", + "clf = plq_Ridge_Regressor(loss={'name': 'svr', 'epsilon': 0.1}, C=1.0)\n", + "clf.fit(X=X, y=y)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 433 + }, + "id": "URF-gXRN45jb", + "outputId": "22f332e5-b060-42eb-9ba2-12a27da51789" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "## plot SVR results\n", + "warnings.filterwarnings(\"ignore\", \"is_categorical_dtype\")\n", + "\n", + "n_sample = 200\n", + "X_sample, y_sample = X[:n_sample], y[:n_sample]\n", + "svr_sample = clf.predict(X_sample)\n", + "\n", + "df = pd.DataFrame({'x0': X_sample[:,0], 'real_y': y_sample, 'svr': svr_sample})\n", + "df = df.melt(id_vars='x0')\n", + "\n", + "sns.scatterplot(data=df, x='x0', y='value', hue='variable')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "2g1sDxDyWyxd" + }, + "source": [ + "## With Pipeline\n", + "`plq_Ridge_Regressor` can be integrated into a scikit-learn Pipeline to streamline preprocessing including scaling." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "id": "3-rs8zHc3vVb" + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "import seaborn as sns\n", + "import warnings\n", + "from sklearn.datasets import make_regression\n", + "from sklearn.preprocessing import StandardScaler\n", + "from sklearn.pipeline import Pipeline" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "id": "6RXuMsWQ5aNh" + }, + "outputs": [], + "source": [ + "#Simulate data\n", + "np.random.seed(42)\n", + "\n", + "n, d = 10000, 5\n", + "X, y = make_regression(n_samples=n, n_features=d, noise=1.0)\n", + "y = y / y.std()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 155 + }, + "id": "Iq5LJkIj5b49", + "outputId": "c0b65856-fbed-4093-f3df-09e7d9f766e3" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
Pipeline(steps=[('scaler', StandardScaler()),\n",
+              "                ('reg',\n",
+              "                 plq_Ridge_Regressor(loss={'epsilon': 0.1, 'name': 'svr'}))])
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" + ], + "text/plain": [ + "Pipeline(steps=[('scaler', StandardScaler()),\n", + " ('reg',\n", + " plq_Ridge_Regressor(loss={'epsilon': 0.1, 'name': 'svr'}))])" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "## solve SVR via `plq_Ridge_Regressor` with Pipeline\n", + "from rehline import plq_Ridge_Regressor\n", + "\n", + "pipe = Pipeline([\n", + " ('scaler', StandardScaler()),\n", + " ('reg', plq_Ridge_Regressor(loss={'name': 'svr', 'epsilon': 0.1}, C=1.0))\n", + "])\n", + "pipe.fit(X=X, y=y)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 433 + }, + "id": "tLkX5wvV5qPJ", + "outputId": "d52de4ef-0ff2-4983-8a26-5e7eb8af9606" + }, + "outputs": [ + { + "data": { + "image/png": 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DfxEEvWBxgz0VrEnt3asuRwQ1giAIgtCaKnbBh9fA5m9qjvWZBKc+Du5u7devRojFYkiShCx3jomdztFLQRAEQeiMAmV1AxqATfPgo2v19lbw7rvvMmzYMKxWKykpKRx33HF8+OGHWCwWysvLaz32uuuuY+LEiQC8+OKLeDwePvroIwYPHozZbGb79u2t0sfWIIIaQRAEQWgt/qK6Ac1em+bp7S0sPz+fc845h4svvpg1a9Ywf/58pk+fzoQJE/B4PMyZM6f6sbFYjLfeeotZs2ZVH6uqquKBBx7gf//7H7///nuHzByciJh+EgRBEITWEoxfH6nR7c2Qn59PNBpl+vTp9OzZE4Bhw4YBcPbZZ/P6669zySWXADBv3jzKy8s544wzqp8fiUR48sknGTFiRIv3rbWJkRpBEARBaC2WBoonN9TeDCNGjGDSpEkMGzaMGTNm8Oyzz1JWpk9zzZo1i/nz55OXlwfAa6+9xsknn4zH46l+vslkYvjw4S3er7YgghpBEARBaC32NH1RcDx9JuntLUxRFL766is+//xzBg8ezOOPP86AAQPYsmULhx56KH369OHNN98kEAjw/vvv15p6ArBarUiS1OL9agsiqBEEQRCE1mJN0nc57R/Y7N391ErbuiVJYty4cdx9990sW7YMk8nE+++/D+ijNa+99hoff/wxsixz8sknt0of2oNYUyMIgiAIrcndDc58bp88NS59hKaVAppffvmFefPmccIJJ5Cens4vv/xCUVERgwYNAvSg5q677uKee+7hzDPPxGw2t0o/2oMIagRBEAShtVmT2izZnsvlYsGCBfzrX//C6/XSs2dPHnnkESZPngxA3759Oeyww1i0aBH/+te/2qRPbUXSNE1r7060Fa/Xi9vtpqKiAper5RdnCYIgCF1HMBhky5Yt9OrVC4vF0t7d6fLq+3k39v4t1tQIgiAIgtAliKBGEARBEIQuQQQ1giAIgiB0CSKoEQRBEIR6HERLT9tVS/ycRVAjCIIgCHEYjUZAr4UktL69P+e9P/fmEFu6BUEQBCEORVHweDwUFhYCYLPZOm2m3Y5M0zSqqqooLCzE4/GgKEqzzyWCGkEQBEFIIDMzE6A6sBFaj8fjqf55N5cIagRBEAQhAUmSyMrKIj09nUgk0t7d6bKMRuMBjdDsJYIaQRAEQWiAoijNvumqqkZEVTEpspi+amUiqBEEQRCEVhCIxNhVFuCtxTvYUFjJobnJnDI8i24eKwZF7NNpDSKoEQRBEIQWFo7F+HFDMZe/sgR1z07l+euKeOLbjbx1+ViGdXe3bwe7KBEqCoIgCEILK/SGuO7NZaga9E13MLZPCt2TrFSFY1z/1nKKKkPt3cUuSYzUCIIgCEIL21kWYGCGnXsnJZFSvBhL+Qb8w0eRbx/EtZ8VUuYPk+Y0t3c3uxwR1AiCIAhCCzNJGk8eCxlzjoeInlTOAWQ4Mnj99HcJiPXCraLTTD/dd999HHrooTidTtLT0znttNNYt25de3dLEARBEOoY7Kwi45MLqgOaar7d5My/jm5mkaW4NXSaoOa7777j6quvZuHChXz11VdEIhFOOOEE/H5/e3dNEARBEGoxVeVDVWn8xl2/YouUt2l/DhadZvpp7ty5tb5/8cUXSU9PZ+nSpYwfP76deiUIgiAIdckhb73tUlQsFG4NnSao2V9FRQUAycnJCR8TCoUIhWp+cbze+n/JBEEQBKFFJPcGSYJ4lactbrAmtX2fDgKdZvppX6qqcv311zNu3DiGDh2a8HH33Xcfbre7+isnJ6cNeykIgiActOypMHp2/LZJd4Izq1GnKfWH2e0N4guJEg2NIWlavDCyY7vqqqv4/PPP+eGHH+jevXvCx8UbqcnJyaGiogKXy9UWXRUEQRAOVr5CWPkO/PAY+IsgqRccdyf0OgZsiWcZAEp8IRZtKeWbtYWogM2ocO7hPeiVasdiPPAaSZ2N1+vF7XY3eP/udNNP11xzDZ988gkLFiyoN6ABMJvNmM0iD4AgCILQDhzpcPhVMOR0iEXAYAFnRoNPqwiE+WbVdg5NDnCkZy62ym2UZxxFXimsiXRjVA8xdZVIpwlqNE3j2muv5f3332f+/Pn06tWrvbskCILQrgoqgvyeV8Gnv+WT4jAzfXQ3unmsuKzG9u6asJcsgyu7SU+pqqpionEVKW9eAmoMgLTfXiPNmUXe6XMorrSRKhL3xdVpgpqrr76a119/nQ8//BCn00lBQQEAbrcbq9Xazr0TBEFoW3nlAWa/sIgNu33Vx579fjO3TR7IuYf1wHmQBjYlvhAxVcNjM2IydM5pGluoGPdnl1cHNNUq88n4/nYqTnkWSGuXvnV0nSaoeeqppwCYMGFCreMvvPACF154Ydt3SBAEoZ2EozGe+2FzrYBmr/s+X8uxA9MPuqBmtzfIN2sLeeHHLVSFYxw3KIOLxuXSI9mGJHWu9L3mkt8hFo7bpmydjyNWgQhq4us0QU0nXM8sCILQKkp8Yd5YtIMTBybzh0McJFGJKhv5rczIA9+X8slv+dx4vLO9u9lmiiqD3PjWcnaUBThjiBObAb7b7mXq//3AR1cfRW6qvb272CTGSN1gtZqmoRBtu850Mp0mqBEEQRB0GnDjUWnMMP2E+6P7IazfBHPTBnDI6U/xwa7ONTJxoDYX+jl/mI3R8k7Sf38Qwn7O6jWF3eOn8urCbdx4Qn9sps5zu5O6jUrc6OmJYnW3XWc6mU6Zp0YQBOFg5rIYOCtlC+75f60OaAAoWkf2B2cwe0jnXEvSXIZgCRM2PUD6Z5fAtp8gfwXun+6j/8encd5AjYqqzpXjRXZmog09I26bNvnBRue4ORiJoEYQBKGTcURLcf10X/zGQBmW/F/atkPtrI9hN5YNn9Rt8BWSsfK/2ORONl1jS0Y66X6Y/KC+c0qS0bodAhd9jpQ7rr1716F1nvE4QRAEQReLQMnGhM3KriUw8pw27FD7cq17J2Gbdc0czMfeCnSyNUaOdDjschg8DdQYktHaYMI+QQQ1giAInY9sAHcOVOyI356RuHxMeyrzhyn1h/GForhtRlLtZhyWA78NNbS7Se6scxKSBM7M9u5FpyKCGkEQhM7GmQkTboUPr67bZrRBn2Pbvk8N2FVWxU3vrGDh5lIAZAlOHZnNXyYPIt1lOaBzSyPOhqUvxm8cdhZYUw7o/ELn0VnjV0EQhINb/5Ng3PUg77Mo2JEOsz8CV/0lZNpasS/EVa/9ysLNpZgNMmkOM4os8cGyPB75ch1VoQNc85LSFwadWve4Ix2Ouh6MBxY0CZ2HGKkRBEHojOypMP5PMOZC8OaByabfxB1ZHW6+pagyRHFliBfPzKGfpQLFX0DE2YOlpWbumrebPxzbl57mA7gd2dPg5EdgxNnw8xP6jrDBp8GwM8HTo8Veh9DxiaBGEAShszI79K/kjl0Lr7wqzFtnppHz2flQtrX6eHb2GAad8wSBcAvsTnKkw8CTIfdoUCNg8dQexRIOCiKoEQShxYQiMYp8IXZ7g8iSRLrLQrrDjNHQsUYOhLY11BXE+cbsWgENgJK3lD6/3Inv5Cdb7mIWV6MfGoxE0TQJq0kEP12FCGoEQWgRlYEIn63K586PficYUQFwmg08fNYIju6X2qkyugotyxYugtLNcdsMm7/EqZYDqW3Wn6LKICt3eXnl521EVZWzDsnh0NwkMt2iOHJnJ95lBEFoEesLK/nznJVYjDJjeiahaRqrdnm58tWlzL3uaAZkNv4TtNC1KFXFiRs1DSVS1WZ9KawMcsu7vzF/XVH1se83FDM428Xzsw8RgU0nJ4IaQRAOmC8Y5YlvN/KPE7I4NjOMa/vXqLKRyomT+HCTxos/buXuaUMxiWmog5M7J3GbwdykKaMDtXJnRa2AZq/VeV7mripg9pG5na6qt1BDBDWCIBywQCTKBcPsHL7xMawLarK7en66lwvH/IHvc84jFI2JoOZgZU+D3hNg8/y6bYdeBo6MJp0uElPxh6KYFBlbE3ZNBSJRXvl5GyO7u7jtKDfdTH4kNIpUJ48trOS1X7ZzyohsUh3mJvVH6DhEUCMIwgGzmw2MYg3WNXXT1TuWPsmRZ5+ExTioHXomdAj2FDjtKfjqb/D7e6DGwGjVywCMvUb//0aIqRo7y6p4c9EOftxUTLrTwuXje9E/w4nHZmrw+aoKo7KtnJtZQtqXs6GqBIBuZif/mnAfb3iHomnaAb1UoX1J2kH0L+j1enG73VRUVOByifl9QWgxgTJ49QzYtTRuszbwFKQznhNJ0A52IR/4iyDsB7MTnBlgaPzvxNp8L2f+9ycO6eFmVIaBoqDER7+XcOlRvbhoXC+cFmOD5/DvWo39uaP0wGo/vvPmYu11OIoiRhQ7msbev8VIjSAIBy4WgWB5wmapqhhiYRHUHOz25tVphjJ/mOe+38RHs7qTtvk9nLu+J2LL4A9nXMYHO7wU+0INBzWxCNYVL8YNaADsCx9B6v48KOJDb2clghpBEA6cxQ19JkLJpvjtA6aAqXk3M6HzCYSj5FUE+XhFHluK/RzTP43De6XQLan5O4t8wSjXj1DpNmcyhLwAGIHsdR8za9ztbC5Lh9QGfseiQeTdKxM2S8XrIVLVpguXhZYlghpBEA6cwQyHXwXL39BT1O/LlgJDTu9wqfuF1hGKxJi/roirX/8Vdc/ihg+X55HmMPPWFUfQO615wa1L8uH84fbqgGZf7p/upe/gaQ2fxGCFzOGw7af47an99YKgQqcl3mUEQWgZSblw6dfQ9ziQJD1F/eDT4JKvRP2dg0hhZYib31nB6cNTef/cHD6blcXzZ3SnW5KFOz5cRUUg0qzz2tVK5B0/x2/UNKwFixo+iWKAQy5OXD7hmFvEKE0nJ0ZqBEFoGbIC6YPgzBf2rK+RwJrU7DUUQue0tsDLa2f3ZMCGZ7F+9BpEgwx2ZTNy7O28XTGQMn8Yt7XhBb37MzSQOkbW4q+TqcPTE859F96/DPx7kgKaXXDyw5Amduh1diKoEQShZVlcB92n3apwlGJfmC1F+tRb7zQHqU4zVuPBV1OonyNE969vxrD9h5qD3jySv7iamcf/G788sHkntnogexTkLYvbLOce2bjzGC16zpzLF+g7sTRNr3juzASl6cGW0LGIoEYQBOEAVATCfLAsjye/3cjIHkmAxrJt5dxwQn9OGZ7VqG3G8URjKpGYhsUod6oMt93kstoBzT6Sfvon9kGTgGaM3tlS4JTH4PkTIRqq3Tb2GrCnN/5csgzubvqX0KWIoEYQBOEAbNrtI5lyPjhFI23jM2jIFJ06g1+8pWwucjEix9Ok8/lCUXaUVvHKz9vYUVbFkX1SOXl4Ft09VmS54wc3SuGqxI3+IkyxA6jzlD4UrvwRfvo/2PYDONLhqBsge4w+kiO0C38wSoE3yBe/F1DkC3HsgHQGZDrJcLV9CgcR1AiCIDSTPxRFCRRx4sZ7MG3+svp49srXmdLvZNak3EUg4sBqbNxbbSASY+6qAm5+Z0X1se83FPPktxt556qxDDyAoqCapqFptHpgJDvrKXkgK6AcQAkCgxFS+8HkB/RdUIoZrO7mn084YP5QlE9X5XPLu79VH3vhx60MyHTw4oWHkeVp2wKhIqgRBEHYT0UgQokvRKk/jNNiIMVhjlsPKBJT6VG5vFZAs5d5w6fkDDqLSCSXxq6LLaoM8Y9PfufacRmc0teIIRaiUrPyzLIqbnn3N1686DCS7Q2XA9hXqT/E5iI/by7eTiiicuYh3RmU6SK9tT5Fpw3UswWHKuu2DTxVX79yoIwWkcixgyj0BvnznN9wWQ2cNDAFlwmW5AVZvqOC/363idtPHtymNd9EUCMIgrCP3d4gf/vwd774vaD62KAsJ/89bww9U+y1HmvX/BhX/i/huVJ++x/RgccCjQtENuyu5K2ze9Bnyd8xvj0XNBVMDh449Fq+6TOZ8qpwk4KaEl+I+z5bw7IdFUwbaMekwL++Wo9Blvm/WaNbZ3rAmQWz5sCrp+vlEPZKHwwn/EPshuti5q0t5K8TM5mcWUna6icweksoG3wCBZOO5ZpPiyj2hchuw9EaEdQIgiDsURWK8vAX6/hydQHj+yYzMNVIvk/ly7UlXPziYt64/AjSnTWBgBEVwvWsEYn4MaA2+voDnSEyP7kSpWB5zcGwD+eP93HsUQqVyhVNej0bCyuZ1tfAn3N2krb6JYhFmDl4OjszJvL9hiLOHJPTpPM1imKAbmPgDwshbzmU74BuoyG5l77DSOhSBiVpDN/+Ic45/64+lrTlO5KcmTx36hxUtW3LS4qgRhAEYY9iX4htxV6+vbgnKZvew7l7MSFXLsXnzeaJ5VEKKoK1ghqsHrTB05B2x18cqw05A8nS+DUf6Vpx7YBmH67F/8Ey6iygcetqQtEYtnAJY5b9CcOOmgy6SXm/kpTcG9uUNyj2heJOqx0wxaAnXBRJF7u8MUkBLO/+u25DZQHdlj1GZMpjbdofkVFYEARhj3BM5T/HGsl9+3icCx+BLQswr3iZbm8dx825m4mGg7WfICtII84GR5zFsa5spMHTmlQeQindkLgx5EXadzqnAeGoSvfAmloBTbXSzaRv+QClCaNIghCPaePchG3GtR9gi1a0YW/ESI0gCEK1TEMljnnX6UUN96VpJH99A9YrFtZ9kqcHXPIl/Pg4rHpXLxExbCaMvRo8TZvekffNm5IxFMb+Qc92q6kgKRSGjMRKq+iR3HB9Ii0cIGn1qwnbnWveInb4hUDLrXcIR2NUhWPIkoSriVmDI1GVwsogO8oCBCMxclPspDpMOJqZ50doG3IslLhRiwFi+kkQBKFd2KJeKFobvzEaxFS+GdJ61W1LyoWT7oHxN+05UYpe5LOpknrpuVdS+8Ohl8HcP0PlngXLRhvJE+5kccUkMl29MRnqz1bsDUYbnKhSWiipn6pqBMvyiBSux7zpS2KWJHyDTkF1ZOJyJzf4/FAkxsLNJby6cCvT+xuxGCReWBnB5XRy4VG9SLG3whRZOyrzh4nEVFxWI5bOnnV6wGRY8GD8tj6ToAnTry1BBDWCIAh7yFr90zGKVk8xRoMFXNkH1gF3N7TzP0Dy7YY3zq6dOTdShfWrPzP49DepqMohzVX/zTCIEd+Q83Bs+Cpue2z4OSgtsb0aCJfvxPTuBdjyf605+MM9+I9/CN+wGThcSfU+P98bJClWwsNZ83D//DKEqziy9wkU9rmW33eWMX5A11hgXFwZYtHWUn7aVIyqanhsJs4c050eyTYMSiddDeLpAYOnweoPax832uCEf4qgRhAEod1Yk8DdHSp21m2TFUgd0Opd0NIGo67+CGX/UgB7pC56EH+PMUD927GTrTLm1J6Qcxjs2K+CdVIvtOFnJ65W3QTBYBAWPYdh34BmD/tXfyLU+2hoIKiRKgsY8t0VKLtrkg6aV79NzqbPMc6cS7EvqVELmsOxGIXeENtKqghGYvRJc5DiMDW7VEVLKvOHWbBqC4cmVzHe9AGWqnxKk45nZ0GUmNqTfhnO9u5i89hTYfJDMPAU+Ok/ECiDPsfBkdfqI5htTAQ1giAIe7myYOp/4LUz9XUs+zrmNrCntXoXZC0KBb8lfkDJJqxyPSNGeyTHSuGts+G4u/VP0r9/ALEI9D8RskdhUFpo2sNfhGX58wmbtd/fh6zE1a9VVcNdsaZWQFMtVEnykn8ROOkRoP6gJhCJ8cOGYu7+6HeO6u3CosCD2/1MHJjOZeP7NDlpYUsL+Cs4NvYDSW/cVH0sfdXbpCflkjftbSqqeuG2tW8fm82ZAcPP0qeb1AhYPO2WHLGTjncJgiC0kh5j4fLv9E+erm6Qczic9x4ceknbJI5TjKjZoxK3p/RBNjZicW9Vsb4e5/0r4NdXoOc46DsJNn+rT235Cho+RyPIaHrJggSUqqL6ny+Ba/17CdtNm+Zii8XJTryfvLIA3pJ83jkpyj2xf3FX1b28dvh2JnWLsXRbaYPPb232cAlJ826u21C2lZRFDxOrL99RZ2FP0XMRtWO2ZzFSIwiCsC+TDbKGw+lPQ9in1xey1T99kog3EMEbjCBJEh6rEbu5cW+58tAz4fuH61ajBph4B9gaXnyLtM9n1qK1dRdASy0zUiNZnKg9xiFvi1+ZmwFTGjiBBJZ6pl6MVowNLIoG8JcVMCXvCaxr3q4+lrppHqmp/dg0+TVKfEmktEZOnkYybf8OtPg7gczr3oeJtwOeNu1TVyRGagRBqFckprKrLMCmIh+7ygJEYrH27lLbMDv0T53NCGiiMZX1BZXc+NZyrn1jGVe/9iu3zvmNbSWNzDPjzoELPtJLDuxlssPJj0L26Madw5aaeLrMltwyNZgAoz0J9YR/glw3YFPTh0DGkAbPIY2+IGGbOuZisKXX+/xoTKW7uqtWQFOteAPpG95G0qIN9qM1mSL1jDbFIhgkkTOoJYiRGkEQEir2hXj9l+08u2AzlaEodpPCReNymX1kL9KcXWubbUvaURZgydqN3HWYimPn92iykcqcY/ls8TpOOXwg3ZMayDNjMOrTXpd9A/5ifZ2CPU1P8tfYreLOLJj+rL4+SN3nhi4rcPoztQOmA1Rk6UX6RXORv7oDafvPYLShjr6AyGHXYHQ1fB0pqRcc8QdY+GSt41rGUOQxs6GB9T8GCTyrX0vY7vz9NcKHXwzYEz6mtUl9JsC3/4jfmD0KxdL8CuxCDRHUCIIQV1U4ylPzN/HKz9s4cVAK/ZJkNleoPPv9Fooqw/z1lEFN3lXiD0XxBiPIkkSqw4wit0yelI4kFI1RVZrH6bv/D+v8d6uPJ/F3Zh1+A9tKkunm6YnUUI4YSdK3iDd3m7gs6+uDrvoJlrygLz7OGKqvDfL0aJGdTwBFviDR8jyU+bdDr/Fw+JWgRpC3/EBJWRmKMa3hwpm2ZBj/Jxh6Jix9EUIVMHwmUvaoRr5+DSkWTNwcC2FS2vd3Tfb0ROszEWnTN/s1KDD5wRYbOTvYiaBGEIS4in1hCkrK+WZ2JimrX8ZasIpg0gBuPv8iHlvio8QXbnRQE42pbCn28+hX61mwvgiHxcDssblMH92dTHf7LSpsDf5QlKzypVjXvFunzfnLY2TmTsQf7obD3AbbjI0WSBugV8eOBvVcOkrLXtcQLKfbN3+EXYthxy+12rK3fU/FzI/A1b3hE9mS9a9uo/W1J00oL4GswMhZdXOl7KENPg3J2oh1SE3gD0XxBiIgQZLN1HASPUca0mlPwW9vw8InoKoUrceRSMffrf8bCS1CBDWCIMQVDEe4a6SXtDdPAVVfR2PZsYjuK1/jtlNeoDgcorHD+ZuK/Ex74geOyPVw09GpVIYl3li8na/X7Oa/540hvaFP8p2INerFuvy/CduTfnsetc+hQBvmTlGMLR7M7GWLlCHvWhy/sWQTlnAJ0IigZi9J0r+aSMoaDt0O1YOrfVmTkI78Y4vtyFFVjR1lVezYuYNUYxCQWB+x0bdHN7o1NK3ozISx18DwGaCqSCYHWNs2OV1XJ4IaQRDi6m6owPbVtdUBTTVNJfWr67Bd8h3Q8KffymCEl37ewifn9yB983u4Nn0BZidnT7iUpWo/Nhb5ulZQI8egKvEWYiVQhKJ1ncXWSixQf3u44e3YLcKZBTNfgTUfweJnIRKAQafCYZe3aBK4wopKLEW/c9Qvt0HeMgD69TiKQvs97JYHkOFuYLu9LLfoeiahNhHUCEInE1M1iitDqGi4LI3fJtxU5nAZ+ArjNwbLMQdLgNwGz+MLRrlimEzP96ZCVUn18YxtPzFxwGn87rod6ELrCSwe1N4TkH99KW6z2n8Ksqn9Fqy2NNmWpI8CxeIkBJQkZFecCuatxZWlBzFDTteTJ1qTwdByCe3C0RiWyu143jkVYuHq48r2H8h6dxoVF8xDc/VpeL2U0GrElm5B6EQKKoI8NX8js19YxAXPLeLWOb+xsdBHNNby20GVBqrrKo3cgmqTwmT++u9aAc1elnUf0M9Y93inZrQgH/lHvfbN/uypyIOnNmt6paOSHRmoh1wat00bciayvf7t2C1OkvSioM7MFg1oAEKBKqyL/q9WQFMtWI5h9RyCkYazPXdWpf4wGwt9rNhRzrYSP75Qx3utYqRGEDqJ3d4gz3y7mhkDjMxwliKFKwmmDuWL5es4dmR/+qa3cO0Ye6peCylQVrfN5ABH44oMOrVK5HUfJGx3bPgA+o1tXh87qqRcuPRrmHsrbFmgJ8IbeLJessDTo71717JMNuSjbwSLC35+Qk9YaLTCmIuQxl3XJmtGqsJRQsEAWiyCbLLjaUJV74pAhEA4ilGRG0zOZ4r6MO/8KWG7fcd3RKJXgamTljuox87SKv752RpGpUE3h8TcYhU/Zq45tl+Hmj4WQY0gdBKl5RVcnbOdlDlX6DtZ9jhv8NlsKL0Jv9uCvSV31Dgy9TpI71xQJxNq5aT72VJhobsxRHIDNxC5gYWfXXKoXjHoSefOegWCFfrrtya3TZmF9uBI17dkjzpPX8tisOwZKWn9XEa+0t1Ed6/FtfxZlFA5Fb2n4B84Gdmdg7WeqVl/KMq6gkoe/GItq/O8ZLmtXDepL4f3SSElwe+02WIBRxqUb4vbrjqzMZq6Xv6mosogS9du5u5B+WQs+xd4d3FixgiKx9zA96u3M2V0b6ymjhFOSJqWIG9zF+T1enG73VRUVOByiURHQudSvG01qS8dVXfhLlA28QFiIy8ktaU/MYV8ULIRbcFDSEVriHr6UjT6Wp5bZ+J/i4q5eFwu1x3XH7e1nmAqUgWf3AwrEiRHu/Qb6D6mZfst1CumahRUBNhaUkWJL8SATCdpTku7F31sKl9ZIfL3D2P79enaDc4sgud/iiW9T9znaZrG12sKuemd5Zw/KoUhqQp5fpUXf63glOFZXH1s34TpCmJrPkF5a1b8tku+Rsk59IBeU0e0q7AI57Kncf38UO0GSaZ42utEek0gq6EF0geosffvjhFaCYLQIMfGj+MGNABJS/+P4NCpQLeWvajZQblnMB9m/YUe/WV6uyEW8nPmQCNWYwbPL97BOYf1qD+oMdrgmD/Bxi/Bv19xw2FnQVLPlu2zUK9oTOW3nRVc+MIibCYDDouBXWUBjuiTwgPTh3WoqYSGKL48rPsHNACV+cjfP4zvxIdwOOqOjhV4g/y4ZjtfzHSTtvhBDBtWgKsbpx53PV9UBOrNwaT0OAL10MuRFz9Tc1CSUCfdjZLar6VeWofijpXhWPhI3QZNJfXbP+Hr9jmQ0+b9ikcENYLQSZgrtiRurMzHpLTOoGtFIEIkHGSk/1eSvr5X364sSfTpcyKnnncnS7eV0S+jgfU8yb30lP+/vQ1rPgazE468FrJHdZpMqv5QlGJfiBJfGItJIdVu6lQBwF4F3iD/+Wo1b5zVjVTfWpSqIoJpI1hSZuTln7fyx0n9MDWigGRHICdItgdgWv0u2oTbIE5QE4zEuKZ3IalvzaqZWq0sIH3X+Zx2xM3s8mdAaoIdavZU5Im3w2GXwtYf9Z1fPY9EdqTrv9ddkLlsg76bLJ6KHZijFYigRhCEJtF6T0D67Y34bdmjkOPttmkBZkViumM1SV/cvM8FNYwb59KvfDO2aXGKCMbj6QFH3QCHXKzfCDrRDUCvgbWNbKOffkkylTGJt7aonDu2DwMyO8/rANhRXMGDh1WR/v4Z+vqXPTK7H8macY9R5AvTzdO6UwktRVbj7ELaS42SaLVWOmXYv/1T3KrZzl8epcfIs+u/sNWjfx0kmYDlBtZGKUrHCSXElm5B6CTk3HH6gsw4pOP/rqeYbwUplJH8873xG4vXkx7Z1fiTyYrez04U0MRiKmu25XF22lbO/P1qRswZz+GfTeZPxreJlO8ir7z+5HMdTX9rJekfnVcroAEw7PyJPhv+hxJvu3JHNfjUhE2xfpNRbJ64bZaIF7wJfm81FVPZhhboXNehpPVLvOg7fTByK733NEenCmoWLFjA1KlTyc7ORpIkPvjgg/bukiC0HU8OXPQ55B5Vc8ydA+e8CZnDW+2yxlgQvHkJ25X85a127Y6gxB9mUHQd6e/NgN2/6wfDPhxLnmDg99ehVBXVf4IOxlm0rNbuuX3ZVr6KKxZnC39HldSL2ICT6x43O+G4O1Gs8ReUKg1U/VaMXW8H0wFxZMC0J+vuYjTZ4bSnEn7Yag8dZ8yoEfx+PyNGjODiiy9m+vTp7d0dQWh7KX1h5qv6uhY1AhZ366dcV0z6Yt9IVdxmOamL5V3Zjy1SiuP7v8ZtM+xaiK1qF9B5fgaKr56RtUgARQ21XWcOkNGVTuzkR4kOOhXDwicgWI7a90S0I65CSc5N/ERbMqQPgsI1ddsMFqSUvq3W507JaIH+J8GVP8Li/0HJJug5DoafpX+w6kA6VVAzefJkJk+e3N7dEIT2ZU3Sv9qKIwNGz4ZfnqrbZnJA1si260s7MKtVUJx4OsKyayH0TZw8MBiJYZQlFKVjDIxL3Q9J3JiUi0HuXHmDFFcmjDwb+h0PagTZmtRwfhxHOpz+NLwwGcL+muOStGfkoQ1LO3QWZoeee2nyQxALgcHatErqbaRTBTVNFQqFCIVqPnV4vd527I0gdFIGExx1HRSvg03f1By3uGHWu+DKbr++tQGD0aSPViVYayI74w+97yyrYt6aQr5ZW0iW28L5R/SkR7INZ33b39uA5OqeeJRi3HWwexWk92/7jh0oe0rTHp8xVB95WPkubP8Jkvvoi9iTerRYRe8uSTHoXx1Ux+1ZC7jvvvu4++6727sbgtD5ObNg+v+gMh8KV4M9TZ8Kc2Xri38byRuIoEH9eW06GMmehjZsBtLyOMkDZQNK7pF1Dm8u8vHUvLXMGmJi/GEqMSXGt79vYrk7hdNGdmu1IqSNIckKHP93WPYqrP0U1Ci4uuk704rWobTi+qwORVb0VANH3wTRq0ExQwNrbYSOr9NmFJYkiffff5/TTjst4WPijdTk5OSIjMKC0MYKKoL8tKmYuasKkIBjB6ZzzIC0Vs9C2mIqdqK9eiZS0T6jG7ICM16GvsfV+mTvDURYtnYTo0o/xfXLo3otJCDW4yi2H/0gSnIveqS0zvb7RgmUw3uX62UM+h4HaPqxpS9C/nK4Zimk9G7zbpX6Q+wqC/DhijyiMY1ThmeRm2ontYF6TMLBQWQUBsxmM2az+IMQhPZU4A3y3sJ1nJgrM67fBiRNxe8x8+EvJUw7fGC7BjYl/hAxXxlqoBxJlpFtyZjs7rojSe7uSBd8AEXrYPN3+ghV34n6CNZ+UxWBcIQRlfNxff/3WseV7T/Q67NZFJzxPtCrVV9XvaweOPEeeP5E+PWl2m2TH2qXnSyl/hCPfLmeD5bt4tDcZGRZ4tKXlzCmRxL3nTGMdKeYDhIap0sHNYIgtL/ykiJmmb7D/eadNVlJJYlzj7iZncVJZLp6tktRy7JKP9LuNaTOvx1550KQZCL9puAb/zcqUnrhtu5XB8mZqX/1Pqbe87oixVh/eTjBRbfg9G+lXYMagNR+cPl8ffpp41fg6g6HXgJJvdql6Oa6Ah8DXBG+nOkkZdPbSGqEktHTWFJp5OdNxUwb2b3N+yR0Tp0qqPH5fGzcuLH6+y1btrB8+XKSk5Pp0aPzbKkUhINFZTBCamg77u/uqN2gabh+foiM7MMpD2SRZGv7EVWTdyv2N6dAdM8UtaZiXP8JSXmLCMz+Cqy5zTqvUQvVrXG1D3Px7zDg2Gadu0V5esARV8GYi0A2ttt6kmAkhuov5Myy57B9/2r18ezlL3JSr0msOuReSv0NV4MXBOhkyfeWLFnCqFGjGDVqFAA33ngjo0aN4m9/+1s790wQhHgMaoik5XEKDu6R9OvjmKLx89+0Jl+lF+NPj9UENLUaC4mt+4JoLEGtmwYYjBY9KVkCUjusV6mX0dKuC2RjqspAeRe2Va/WaTNtmUevil8gYcEDQaitUwU1EyZMQNO0Ol8vvvhie3dNEIQ4rFIUpXJnwna5Mh+bHGn5C6sqhCrjBy2AIeLFtP37hE93bPkCLdLM8geODLRDL4vfZvGgZA5r3nm7KJscJem35xK2J/32P9yaSMchNE6nCmoEQehkTA7UnkcnbFZzDkcyt+BORE1DK91K7IfH4PWz0N7/A+qOxfrunn0YDCawJq5Xo9rTMTY3Vb7BhHTEVTD49NrHHRkw+2Nwi/Uh+5LUKHK4nqAlVImixdquQ0Kn1qnW1AiC0MkoBuRDZsPiZ+qWWVBMyEf+sUUTncWK1qE8fyJKsBzQJy2k398lNvFOlMMuA4teSNPgSic69loMH14V9zzqoZch15NgrNgXoqIqgiSBx2asu97DmQlTH4OJf4HSLXoGaFc3fddUOyyK7tDMTtTBpyNv/SFuszZgClJbZtAWOjUR1AiC0LrcPfRCnB9dCwW/6cfSB8HUxyEpt8UuowXKkD6/BfYENPtSvv070YFTMVhqqoPLfSehDp6OvPq9Wo+NTfwbhtQ+ca8Rjsb4Pc/Ln+f8Rl55EFXT6J1m54EzhjMw04WqaVT5ypHCVWgGMyZXb6ypnTA7bxsqqgxhzpmAy90dKvabqrR4kA67TM9qLQiN0GmT7zVHY5P3CILQCvzFECgDTdNzpbRwPpRI8WaM/zcqcfuUxzAedvF+fSpBrdiJtnGeXsiw33HIzkywxH9/2FhYydNfr+LS0U5cgZ0gyZSZs3lqSSV3njIQS8UWzD8+jLFwBbi64T38RpTuo7F7Ok4V446mcHceqXnfIjszYNV7sPoDUKNoA05GPeZWIkm9sRg7TwZqoXWI5HuCIHQs9lT9q5Woav27laKRMHVujfYUZHsKZI9o8PzBSIwtO/O4PXspnnfugpi+wDnLYOGBac+jFC7B/OZZNbl4Knbi2jGTqqP+gv/wK7A7PU1+TQeDlFgx8od/AMUIg06Fkx8FWUHasgBp3VyqRl0ughqh0URQIwhClxAxOjFnj4a8X+O2a7mJFyw3hj8cZZQ5H8/822s3RIPYwsXw9UM1Ac0+bD89QGj4mSCCmjpi0Sjyyrf2fBOBVXP0rz1kZybOwaeBo2f7dFDodMTuJ0EQugSTMxXvcQ+Coe6uJf/wi4jZDmwKyEGA5F//E7/R6oGKHfHb1Bha0doDunZXpcYiSL7diR9QVYKM2PkkNJ4IagRB6BJMBoVo2mCKz/uG4NBz9UXI3Q+h6JQXCR11C3b3gU19mbUIcvm2+I1S/W+lsljoGpdiMKH1mZiwXetxJJoxcSJDQdifmH4SBKHLSHbaKZX7U37svUSrKpANJhR7MikOM7J8gFupzXa0rJFIJRvrtpVvh7SBEG9ExmBBSu13YNduYZXBCMW+MOFoDJvJQLrLjNlQk1U4ElUp8AZZnVdBWVWE3ml2eqbYyXC1bGFJWVH0XEVJvaBsy/6NMPEODK6MFr2m0LWJkRpBELqUZLuJzJQkuufkkp2VTYbLcuABDYDRhnTUDfFHZZa8gDbtCTDaah+XJKKn/AejK/PAr99CdlcE2bxlE6bCFbh2zoeitazeuIVin559ORpTWZdfhrdgMyMDP3O8/2O6+X9nw+ZN5JU3M8tyfdw90M59G4aeoS8WBsgejXb+h0ST+rb89YQuTWzpFuoo84eJaRoeqxGDIuLefYWiMQLhGDaTgsnQfvVyhKbZ7Q1S6g8DkGwzke4yN68yeCQA2xfCh1eDd5d+LKkXnPYUdBtFtHwX0oo3UXYuRE3qhXrIZRhS2qfydTyl/hCR3evJ+Pg8KNtafTza8xiKj/sXyVk9KfMFkPKWkf7hOXqpiT1imSMpmPw/PJm9sJtbfpA/WpGvZxZWVTSjHcXTHWTx/iPoGnv/FkGNUK3QG+SHjcW88vM2QlGVYwemc/ahOeQk2xp+chdXFYqytaSK537YzKYiP8OyXVxwZC49km2YjSK46ahCkRhLt5dx09sryK8IApDltvDQmSM4JDcJS3P+7TQNKgsgUALIYEvWMwjvpcb04Mdgrhl56CAqi7bjfO1kfbpsP+HBZxI44WGkYBmuF46BUN3SBaFBZ+I/8RGSPZ426K0g1Gjs/VuEwQIAhZVB/vvtenoaynjymBjPHRPg9NwIr32/mu2l/vbuXrsKx2J8u66IC19cRK4jxsUjrLiUEOc8s5Al28o4iD4XdDrbS6u499PV3Hd8KvPPT2P++Wncf3wa989dw/bSZlYHlyRwZUHGUMgYXDugAX0tiNnR4QIaAENlXtyABsC09n0s0QoMJeviBjQA5nUfYIuUNvm6vkCQqqJteDf+TMXa+VTt3oTXW9Hk8whCQ5o9hrhx40Y2bdrE+PHjsVqtaJrWvOFcoUMoLqvkql4FpH12WU2aednA1Yddx9oCNxmu3rUWEh5Mirwhtu3axUenQPrSO5HXbSGaOpjzz7iel1ZvpU+anUy3tb272elVBMLIvkIkLYamGMGehtPS/MAgFI2xcP0uXpgQJO3rK6uni3Jd2Qye9C8+X7+Lnin9Dqrfa8VfkLhRjSHHQshVhfU8JoqihuscrgpHKfaFKagIYDIopDvNpDvNGBQZn9+PtP0nbB9eWvPeohjxH/ln/GMuxO5JO7AX1Rl482H377D2Y7Cnw9Dpei2wBJmrheZrclBTUlLCzJkz+eabb5AkiQ0bNtC7d28uueQSkpKSeOSRR1qjn0Ir0jSNNK2YtA/Prc6SCoAaxbnwEXqnDMIbyCHNefC8+e8rFKziXNtiPO/dWn3MULGTzE1fcunJ/8Mb6g/oQU0kFiMc0TAaZEwGMRDaWFVlBUhrPsO56DF9JCF9EN5xt1PZcyxOT/O2YleFYpyYHSTttbP1KaG9vHmkfXgOJ82ahz8UPaiCGjk5N3Gj0YpstELW8MSPcaTXqp8F+hq8NxZt59etxUzoYSQYg883hbjhuP4c1isJk28XpnfOBjVa86RYBPv3/6QqYzCae0q7fiAurAwSUzVMBpmU/QuTtoSKXWivzUAq/L3m2IIH4aT7YeQsEdi0sCa/695www0YDAa2b9+OzVaz1mLmzJnMnTu3RTsntB3Hhg9rBzT7SFn8CPZoedt2qAPJlL14vr8zblvKt7eQLpURjsYIFG8nsPoLtO8fIbjyQwJFWwmE4/9MhRo+bxn88BiuX5+Eo2+Gma/ChNtwmcCcv4RAMNis89qUKJ4Vz9QOaPZSY3hWPItdObgSuxnc3dCyR8dtUw+/CsWVgeLphpZzRPzHTPwbkjOr1rHV+RUcnx3i0ayvOG/tH7h06008N3IDwx3lyIWrMfz2eu2AZh+2Hx8gUFHPyFBzhKsgGmrwYSW+EEs25lG6ayOVO35n9/aN/L6jBG+gBf9mo2HUhU/WDmj2mnsrVOa33LUEoBkjNV9++SVffPEF3bt3r3W8X79+bNuWIDGV0KFJmoa1dHXiB5RtwyIfXG/++zIFChK/SVaVYo56iRZvxPraNKz7vklZPARmfUg4exgmpXOPBoQiMQorQ+z2BlFkiXSXhXSHGWMLjEYZgyWYCxbDcXfrb/R713wYbZiOvpFoxkCw5Db5vGY1AIW/JWw37V4BsQBwEC2Ed6QhzXwF7dMbkTZ8qS96NphRD7sC+Yir9MXNjnSkGS+gzb8facUbEAuDIwOOuwu5/0m1diSV+kP0VEro/sHpsE9mYE/eMug5DsZdB8XrEvenbBtygg9TTRUt2wGbv8Oweg6qyYl66GWQNhCDs+70VmUwQqB0F0NW/gfr76/rf98WN95DrqWCs7B364HSEmkAqoqRl76YsFld9T7ysbcmbBearslBjd/vrzVCs1dpaSlmcysM3QmtT5ZRc8Yir/4wfnv6IH1Y+iClKPX/mcgGC5b3Lqn7qStYjvWdcwnO/hJSusd/cifgDUT4dGU+d3/8O8GIXtvIaTbw6MyRHNU3BavpALf3lm2FCbfCOxdCeJ9F6ZEq+OafyGmDoL5pk0SMVrTkPkgFK+M2ayl9kA7G32t3d6Tpz4K/SB/VsLiQHZlg3Cexnisb6aQH4OibIBYCkwOcWfoi6X1Iapjklf+rFdBU2/YjHHktHH6lvp4kTjZmNW0givnA/w2ipdsxvHJqdQI/GZDXfEh01IVEJ/61TmCjVZWS/t2fMW36suZgsALXD/9EjgXwum4gyV17mq05ItEoxrAvYbtaVSp267SwJv88jz76aF5++eXq7yVJQlVVHnzwQY499tgW7ZzQduSBU8Cc4I/4uLv0basHKcmVDeYE897uHLRoCPJXxG/37kKqb+FlJ7BudyW3vbeSYETFbTXishioDEW54pUl7Cg98GRsijMDdi2tHdDsQ55/H8HyeuoDJWK0IR11fcJmadx1YDqIRmn2ZXFDSl99/UxSbu2AZi+TFZJ6Qmp/cGXXCWgAbJEKbOveT3yd396CTd/A8X+HgSfXaVaP/StGR8oBvBDQIiG0hU/WzUgMGJa9iFZWN5gyBoprBzT7cCx5Ekuo+ID6tFdQthLrmbiQqr/XCS1yHaFGk4OaBx98kGeeeYbJkycTDoe55ZZbGDp0KAsWLOCBBx5ojT4KbcGdAxd+Bvumc7cmwelPQ9aI9utXR+DIhOnP1s0kq5hg+rOo0bq7QWrZJ4FZZ1MZjPD4vA2cPTKFry7swRcnh/jyVJXPZ/fg+P5JvPTzViKx+FOT0WiUqsoyQoHEn1QBJFcWFG9I/IDi9UixBn7GiST31RPj7TsiY7TCtCcgpX/zzilUU7Ro/XWvJFmfTnz3Ihh1vj6NBWBNInra00j1LUpupHBlEcbfXk/chRV12xRvguKjAJEASiT+lvamCihOSsb9Le72/mjmKCodfVrkOkKNJo8bDx06lPXr1/N///d/OJ1OfD4f06dP5+qrryYrK6vhEwgdkyzrn9ou/BSqSiAW1UdnHFnQydeDHDDFAL2Pgat+hiXPQ9EayB4No88HTw+08jz9RhmJM2ohScjubm3f5xYSjKic1MfCydGvcL99X/WCz0yDhfsmPcJ7gREEIyrGfX5H1JhKtGwb6m/vYNvyNTF7OqHDrkJNHYDVVXcnk2JLQs0chrxqTvxOpPTRt3g3h8UJQ6ZD7lFQvudG5snRt9XuPzoR8oO/UP/9N9rAngqOA6vs3dVFQlUYBp0Ki/8X/wH9T4S5t4Gmwo//hnPeRNU0VHs6Bld2y7y3aJq+7icBKVr371K21z86JLfQCF6aw8z8SBaxsz4j/ed7ULYtALML34iL2NrrbNzi96vFNWsy3O12c/vtt7d0X4SOwJFR82lKqGG0QvpAOPFeiAbBYK1+Qza4MokeeSOG7+6p87ToyAuQ7J0jD0dxZYi8igDrd1eS6bLQO82B22Jgcmoh7nf/UfvB0SDJX1zNmbO/xbpfVt5Y8QZML54IgTIAFEBZ+zHBI28mMPZqrM79pjJlBXXgqcjfPRA3MAwd/RcsngOonWS0gKeH/pWIrxD1u4eQlz5Xs1sqfTDaWS93uGKUHYmy7BXofxJs+Krumpl+J+gBYlWJ/v2OhahIaJkjMLTgNvqYxUO4/8mYfn83bnt48Fnsv2pHdncDd3eo2Fnn8VrviRgcLfM3K0kSw3um89yPfuwZf+Pw0SYCEY0560KcPyidLJHfqsU1OahZsGBBve3jx49vdmcEocNTDKDUruMjGy3EDrmIqD0Fw4IH9EWT1iSiR1wLI8/DYHO3U2cbL688wFPfrGdyLgw1RQmHjDw/P8KV43JIWfLvhM9zrXgOOecxwARAsLIM45d/qQ5o9mX56WHCw2fA/kENgCuH8KwPMM2ZrZcgADCYCR11K1rPsS3wCusRi6Aufh558TO1jxeuRnp5GuolX3Xq0bbWJKPCR9fAyY9A0TpY/4X+AWDI6fqo3tx9dvZYk9EsSSgtnBfIZncSGv9n2PQVBGtnKY72PFqvnr5/v93ZaOe+g/TKNPDts+YtfRCc+m+welqsfykOM384pg/FvjA7y6qwewzc0sdChsvSMjushFqaXPtJjlNgbN/ESbEE8+sdgaj9JLQqTSNakYcWCSIZTC03vN7KfMEIy9dtZmjFt3gWPqh/slZMBIfMJHj4dXjePbNW8cNaeh4J57xVnUAsVLQF85Oj9CmBOILH3Ydl3FX6TrFgBcgGsKWALRk1phKp2IXkL0aLhZAcGWBPw2Rt3WKQsbLtKP8dl7A0QPS8jzD0PaZV+9BZRbcvwvD88fo33Q+FyQ/Citdh3VyoqL1uRT32duSjbmqVv4mqUASpfBvSwqewbJ4LJgeVIy/FMGgy1uR6dh5W7ILSTVC2HdIG6KN5zgQj1aoKFTtQN3yNtGMhWuYwpEGnILlywNDxSmJ0NY29fzd5pKasrPYnsEgkwrJly7jjjju45566w++CcNCQJAyezveJ3h8MM6z8K9zf7jOlHAtj+e0VjKl90LJGICUKarofDkZ79bcSWsKABkBO6gHr58KnN4I3DwCt2yFI055ATh+IOTkHknNa4mU1WiwcQEkQ0ADEitaJoCYBQ3Iv1EHTkNd8CDsXw8InIXsUeGtP62i545FHX9BqQb7NbISMvlRMvJvIkTeALCPZ07FaGrjFubvpX70avkasYCXKSycj71n4L618G779J7Hz3kfpMVZUFO8gmhzUuN11h9KPP/54TCYTN954I0uXLm2RjgmC0DackWJsPz8Ut0358RHUCz5CWvOxvthzXwaLvlh630XCFhdqj3HI23+Mc6FMjDY3vHRKrcPSriXw4mS4/Lv61720kphs1tMZJNilFksSO1QScqQhn/wwsaFnoCx8AnavQu0zCekPv8DWHyFQhtT7GCRPT2ihdSr1cTsd4Gz5kb2YtwBlzsV1f0eiIZS3zyd62XcYkto2GBfiO8CsWTUyMjJYt66ezJGC0MVpmkZ+RZCiyhD+cJQMl4VUuwm3zdTeXauXMeqrKTS4v1AlapUX+bw58NG1NQsrU/vBaf8FT89aD7c4U4mc+ADyi8fXWfQbPeE+lG/+Gf86VaXENn6DcsiFB/ZimiFkTkMdfQX2nx+u2+jKRk3p2+hzlVWFKfOHicRUnBZjdVHHLs2RjjJkmr5DUI0iWzz62rO0Ae3dsxaj+otRSjbGb6wq0dfRiaCmQ2hyUPPbb7XTjmuaRn5+Pvfffz8jR45sqX4JQqeiqhqbCysIle4kI7ANOVBEKDyY3wvc9M3tSbozTnKzDsJgtur5RPYfidlDkmXoMwEu/RqqSvXH2lISbndWMgYRuex7+PkJjNu+A3sqoSOuw5A5BKkgQZJCQN4yH8bMjpvkrTV5XHYKh89GrirGuvKVmt1PaQMonPIcBlvjdl7tKvVRUbgdT6QQa6iSiLsna0o85GRl4unggW2LaMHFtR2NGq2/lEMsHGi5EQLhgDT532HkyJFIksT+64uPOOIInn/++RbrmCB0JsVeP56SFaR+NKvWEHVG7kSKPY8SsfXE2EE/sUv2NLSBpyCt+ahuoy0ZJbW3/v/OLP2rAbLBgJzej+jkewn6K5ANJszOFKpK87C5sqFkU9znhdx9MAPtsR/E6sli5yG3Yhp6GcZwOarBSoXkJi2lO8mNqNxcVOHHtHs5gz++oGYLM1A19Fx8tr+ArYt9ivcXga8QrXI3kiN9TyqIzpG6oDlUS5KeVTze2ivZgObMbvtOCXE1OajZsqV2KmpZlklLS8Ni6bifRAWhtVkCu3F9cLZer2gfpq3f4FnxLJXuv5Dsat1dPM1mdiKddC9a2Vakgn1GYq1JcN570Mw3bIPJhmGfJGZBUwqhMdeR9OUf6z5YVggMnI6ljUdp9nJajThzsiiqTCYQiWGQJfo7TbWSCtbHUlWA870Zdf79bateJ5bcjzLnVSQ5ukZOEq18B7xzIdKuJTUBaOYw1JmvIifltn4HYmF9kfnm+XqA3HMsZI7QF/y2krAtncj4v+H66uY6bb7DridmTkHcATuGJgc1PXv2bPhBgnCQUfKW1Lmh7WX77UXkI64AWi6oifhLwV8KagTN7MKUdIBv6O4cpFnv6ttwC1bpicnSBoCrW4vt6kiym9ja7RjMIy7GtmKfUV2jlZKTniJkyyapRa7UfGnO5hXllXf8nPDf37nk/wiOmAGOLjBaU1UGH1ylL+7eV8FKpHcuQjv3baTWHLGJRWH7L/DaGXplbYCf/qP/nl74CST3bpXLuu02SgZMo9iWReov90PRWkjKpeTQm6DXMSS7On4uqoNFo4Ka//znP40+4R//GOdTmCB0cSZf3cyk1cJ+FK3+OfmmiBZuQPnsBuSt3+sHPD2JnPQQWo+xmGwHkH/JmaF/dT+kZTq6H0mSsCdl8lXWZYwYfCHWsrVoRjsl1lyK8TDG0UFHshrBVJ5gESlAVQmyFm27zrSiaGUhhr2/d/uR8n4l6itqsWy8tYQq0SoLQI0ivXlOTUCzl3cX2sfXIZ31Squt7UlJTafAeBzbUocjRUNoshGTJ4N0p6VWrjahfTUqqHnssccadTJJkkRQIxyU5O6HJm5052Cw2BO3N0G4ZBuml6fUzoJavg3jm2cRmT0XerVy9t0DlO6ycPSwPuRXBPmp3INFUhiTnkQvpxmbufMutZTqCwSTcjGYOsbUU0UgQlU4iixJpDnMyE3MaKs2UJxVDVTUORaMxIj4ipEC5YAGFg+KIxWrqXH/3lplASx/HWnRMzDpjoRb76UtC9D8JUituGA5020Bd9unHRAar1G/VfuvoxEEoTYlrZ++zTlOtWn1uLuRG7HAtjG0LT/UDmj27cM3dxKa8TrmOEUjO5Jku5lku5kh2Qc4ZB+L6QUoNVXPM2NpvyzhcvZIcGbWlHjYR+zYv6G4DqB2VQsIRmJsL/FTtHsnHiVCTFJYjZshOWmkuywEy/KgbCvqruVInh7I2cOQXdkYjbUz5apml747LUGCRdVaewLRHwxC4Vqcc2+AvF/1g5nD8Z/4KL6MoThsjQj2Ns1Hmnc3uLIhWH/17GgkiMjte3DrvB+NBKEjcWXBee+hfX4r0vrP9RutPQ3t+L8j95nYYpcxbv02YZuctyx+pfCuyJuPuuwV5EXPQLACrfcxMOkupNT+YGj77dOypzva7E/h/Stq1ptY3KjH/hWl77Ft3p/9FRYXk7R7Kf1/uBOK14PBQmDIORQ7riEcMWJ662zkwtU1TzC7CJ/7HtFuozAYam4TIXMK0sDpmNfUrage6XMC4f0WzBq8OzG/OgXC/pqDBb9hf+1kQpd+D7b6c9nEKvJQ5t+rf+PbDcn1pP61pxE2OEVQc5BrVlCzc+dOPvroI7Zv3044XLvk+6OPPtoiHROETsfTA2n60+AvhlgITE4kZ1aLpk8Pe3on3mXhzESTOua28RZVuRvtnQuRdyysPiRt+Ao2z0e9ZB5y9oh26ZaU2hdmvQ3+Ev3f3+LRR+iU9v3sWO4P4yz6laQPzqk5GA1iXfEC3VJ7ws7FtQMagJAX05szCF26AENKzXSL1emh4ug7cclGzGve0XP6SDKRAadSPv4uXI6aYqXhcAht6Uu1A5rq64dg4ZMET7wXizXx1KwWDddU/1ZjeimGgafA2k/qPLb0qLsIGVJpmYleobNq8l/bvHnzOPXUU+nduzdr165l6NChbN26FU3TGD16dGv0URA6D7NT/2ol8rAz4MeH4ibKCxx+HWZP18+XES1aj2GfgKZaLIL05e0w89X2SwRnS9G/OhBjsBj7gjvitslp/eCbv8d/YqBM3zK9T1BjUhTMSdnkj/sH8qhrkcI+NJODqCWVZE8yZuM+JTOClVh2/pCwX+ZdCwmEKqGeoCYqGTA4s/QCqAA//AumPQGp/eHXF/VkkKn9KB57BwtCfTnOIsZpDnZN/lh32223cfPNN7Ny5UosFgtz5sxhx44dHHPMMcyYMaM1+igIwh4xRzbB018ApfYUS3jo2UiDTmnyws9Oad3nCZukrd8TCdS/7uJgY4xVxV3rBeijHwkySQNocdZvuaxGcrPTcWX3x9BtBM6s/vTuXjdrssFkJeZIHGSrjowGF1Cr9gzUo27c50AU3r8Cdi2FE+9DvXoRnx/yHDcsz+SQgb1wWUVQc7Br8kjNmjVreOONN/QnGwwEAgEcDgd///vfmTZtGldddVWLd1IQBJ3V7iTY73jCVy0imrcSLejFkDOamC0Nm7t5W2k1TSMcVTEoMkonCIoiJnfiNy6jFVWr5zWU74CqYghX6Qt7HemtOrLWEShGk158NBqs2xgN6UkWA2Xxn5sxKOF5PTYTnnqua7DYiYy9BmVd3akigNiRN+gFTuthMxvx95uKtXQL8uKna0pYFK9D9fRkYYkVR3IyD53p1HcmCQe9Jgc1dru9eh1NVlYWmzZtYsiQIQAUFxe3bO86uKpwFK+viqh3N1osjGSyY3Jnku4Sf1xC67FY7WDthSk1waJJTdNvUpKk37ASUFWNneVVrNxRhq+yEoPJwrAeKXRPsnXo7dWxAafA9/fGbQsMnUXIlESdFHrhIFrxOqS3z69ZoyHJaKNnIx37l4R1rLoCxZGOOnIW8pLn6jYufwNtwm1In99Sp0ntdQyKoqB+808kRzpSn0l6IGhq/KoVKW0A0Yl3Yfj27podU5JEdNxNyFnDG3UOW1Im5UfcjGXkhRj9+WC0EbWmUGnJ4rDulq5fMFRokia/cx1xxBH88MMPDBo0iClTpnDTTTexcuVK3nvvPY444ojW6GOHFIzECJXuwrn0aewrXoKwD1L6UHrUnZT1OJKklK5bB0XouLSKXWhrP0Ve8TpIErHRFyP3m4TkqjsNsK24ErliO+Pz38dZ8AshZ0+KXReyqSqb/jmZtdZHdCQReyYV4+/GveDO2g2p/QgedjUeR92brla+DenV02vVZUJTkZa+gOrqhnzUjdDIkgidjtGCfPRNaLuWIuUvrzkuG1APv4JY5kg02Yzpu3v0dAEGC+qo85AGTEH638SaER5JRj39WeSBkxsd2BjsyXD4ZUQHTdWnjDQVuh2CwZXR6C34kiSRlJRCMOwh35yDQZZwWYykWTpu4C20H0nbvzJlAzZv3ozP52P48OH4/X5uuukmfvrpJ/r168ejjz7aocsoeL1e3G43FRUVuFwHltPCV5KP+aPLMW5bUPc6U59DGToNu1nM73Y4sYgegCpm2KcuUVcQK9+J8uppddZPaNmj0Ga+TqmcQsxXhBqowOmwI1WVYH99ap3dKWUnPk5s4DRSkzpm6vdoTKWgsAjZuxPPxvcwBYoo6TmZQOpQXGk9SHbUHqdRq8qQ130KH14d/4QWD7Erf0DxdOAyBpoGWgzkA7iRV+6G0k2w7We9AGXuOL1AqdECqkqoPA8pUoVsMCJv/wn54z/qa1j2JUnErl6KktrnwF6PIDRRY+/fTf4LuffeeznvvPMAfSrqv//9b/N72YnJvry4AQ2Aa8GdVOUeAebubdwrIaFYlGjpVljyHIYdP6M6u6GOvRbS+uufJjs7TUP7/YO4C0KlvGWoW3/A4OxD6hd/hN2r4Ph/wG9vxt1um/T1Tfh6jQM6ZlBjUGSyM9LZbXORnzSASEzFYTGQajXiiLP7RQ1XIZfUU8YgWI4aDtIRx2nC/jIM5VuRlr2C5CvQq6n3Gq/X5mqqvWUweh5Zt02WMSfr54yV7UD+/E91AxrQf8/WfwGpf9jbQQj59DU71o75+9LVRaIqeRUB1ueVEwz4sNoc9M/y0C3J1inWyLW0Jgc1RUVFnHTSSaSlpXH22Wdz3nnnMWJE++SFaE9y3rLEjRU7USJxcjMI7SaavxLDS5Ork9PJLENe9wmRSX8neshFGKztl422JUQqizD+9nrCduXXF/FkDdcDGtCTmO3+Pf6DY2EMJeshs+N+GpdliSx3I7LRRkPI0Srod6Je02rDV7D8db3S8172VGKKucMlbYuU7sDw+zvI8+6uPiat/XRP8cbPIDm3Va4bi8VQ4uWW2UOtLIBoiFjhOvj+YZT85Wi9j0E79DKwuJFNNrCL6fe2oKoa2wtLsPh2cNSmV7CWraMqdSil5llsj+TQK7MLfGBroiavsPrwww/Jz8/njjvuYPHixYwePZohQ4Zw7733snXr1lboYsekuOpZWCgryO2Q1VSIL+wtxPDJtXGz7Rq/uQvNV9QOvWpZ0cS7cnX7p7ZvYNbZQOcvwKhWFqJ+cw/y00fDCyfB27P1ukEzXtBHFvY+btyNhCwda6FwsHQnhvJNtQKaat5dqN/8A0Kt88EpLFsga2TC9kjPY4ntWITy7DEoaz6EI65CSu2P/Pb5yP8ZAS9Pg/VfQqC8Vfon1CitrCJp9890e2MS1uXPw7YfsS19mu5vTsJV/CsllXF2vHVxzVo2npSUxOWXX878+fPZtm0bF154Ia+88gp9+/Zt6f51WFLmcDDG/6QYG3gqxvqCHqFtVZVBwcr4bZqKuqueUbfOwpqMb/C5idsHnQqbvqn5vqoYknLjP1aSkTIGt2j32lwkgPbjv5B/+ndNMKtGYdUcWPQsHHUDGMyoR16Hv9+puO0dZ8diTNXQ8pYjbU2cuE5e/QExfyvtNrWlUH7MP/RAeP++pQ/DlJaL8sFV+qLfMRfpZRe+/CuUbdWD5d2/w+sz0NZ+otfnElqNNVRE8hfX1M01FIuQ8sU1mIPx68R1ZQe0Fy4SibBkyRJ++eUXtm7dSkZGRkv1q8MzuLOJzXyjThI0UvshHf/3Jm17FFpXQyvhtXqSj3UWVrMBafCpkFa3lo7abYy+ILR4fc3BRc/AxL+CXHcliTr+FhRny/wtV/nKCZTswl/RtqNhkYoClMXPxm/cPB+t/4lELl1Aycg/oLhapthoSwn7y7Bu+Sp+Xpm91CgxtXV+bx0WI8GUIRSe8T5k7tl2bbRSNeoS8k9+ES0cgIod+vGBU2Dpi3HPI335V/DltUofu4yqUijZrK+FS1Cotj7GQBEE61ZGB6AyH1Oo9AA72Pk0ayn9t99+y+uvv86cOXNQVZXp06fzySefMHFiyxXu6/AMJpTccWhXL0bd+iNSxQ7oMRY5rT9yB3uTPNipZg+kD4b969sASBJyt1Ft3qfWoDqzKDn9LaSNX5G87k2QFUoGnY+h7wQcO3+ovRC2cA2seg/OfgNt2atIeb/qazWOuQU5ezSYHQfUl4C/ErlsE6YFD2AoWA6ubgTG3gTdD8HazCSBTaEFK2qvm9lP1FdCSfo4Mj2NWJfTxhRZ0kc9Drkk4WO0nCMIyXZaa5I7LSWZfOVwlo5/HrsURJUUQuZkcpKT0Hyb9AeZHPqNONGHgkAZMX8pirsD7yprL5oGRWvh4+thb8mPtIEw9d/61J+xcSOHMvUHtnKDH+m6niYHNd26daO0tJSTTjqJZ555hqlTp2I210l1dXAwmJCSc1FaacGe0DKsSRkEp/wby6un6BlU91E17lawprbazaEtOS1Gwuk9KHNcQEH/qfo0ktWN225Csk5CHXom8qp3a56wfi7qgJORT/k3qGF9m7stfrI+VdUaXYJB0zTkXYswv3FmzQ3Pm4f1nbMJHvkngkdeg8XhOcBX20AfDPVv11fMNpKiBQQCmVitHSuwMdmTCA+dialsC/SZBJvm1X6AYqRywj/rTax4oBRZonuyjXRXHyoCYYyKXF0GoSri0WsvlW0FY/0/55hk7JC7ytpd+TZ4/iQIltccK1oLL54MVyyAjCGNOo3szNT/DSJVdRutSciO1JbpbyfS5KDmrrvuYsaMGXg8nlbojiAcmJDfi+zfTWzrTxALoeSOI+bIRM0YRvCSBUi/PIk5bxExZzbBw/6IlDEEm7P1bg5tzWRQyHApsP9ooTMDpjyEetQNaFt/AJMDudd4JE0lVrYVFCOKo/YISkVVGM23m2hlMVosgtGZhurIINlZ/40sVJaH5bMb4n6Ct/z8COFR50ArBzVhSzKGPpNQ9g8IAJJ7IxetxfzK6QTPfJVgz3FYrC2bs6isKkxpZYCqsgLQVEzOFDwuFxmNzDYu9ToG7d3ZSIddAj3H6ju2AmVoPcYSOfpWKsw9yGmDOkcmg0yas3afzZ4sqk5+EtvrUwEtcZmFjCH4DZ4u8YGhRWka6qoPkPcNaPZSo2jfPYR02hONWsIguzJRT7pfzym0/6lOeUyvEn+QaXLyvc6sJZPvCR1PqLIUVryBed7ttXb3hEfORjv2dszuDCp9PuSwD9Vgxu7wHBwFIOPQqkpRV85BmXdnTa4aT09iZ7yA0m0k3kAECn/H9cnlsDfHi8WDd8I/YOAUXJ7EnwBDeaswPzMuYXtw+stYhk+rc3y3N0heeRXFJaUYjEZ6ZqSQ7rLgaEbJhpiq4S/cguODi5ALltc0eHrAKf+Cj/8IFTtBMRK+chGmtN5NvkYiZf4wgZId2Ne9i3vVKxCpItBnMhWjr8aQ0otUV+NGhiLlu5A2f4dhx4/QcxxhTx/8lgwqTalku23tWh6g0h9AqdyJaes3GNzZMOeS2qOg1iTyp7+HnD6YDFGTqbawH96cBZu/jd/uyobLvtVLUjRG0AuFq9G+ewCpZBNa+iCkY26B1AEHPI3ckbRa8j1B6Kik8q2Yvv5LneOm5S8Ryj0GRp6B0+EAus4fenPFdizC8PnNtQ+Wb0N5ZSrRy3/ApGpY3jhVz768V7Ac19xr8bmziTknoiS4qUoNZL2VjHWnq3d7g1QVbqHXti8Ytf0LYuYkCodeQl5lH7K7dW9yYKPIEpInh7LTXsMZzseU/6ueRTdUCR9fpwc0ALEIsS3fQwsGNYq/gIxPL0LZvaL6mHXlq1g3fIz3/K+IOfo3Kima0dMNRp8Lg6YQiMYIyk6sJoWkDlC+wmm3gr0fZY7u7CgoIuO87zBv/hJ7+Toq0g6hMPUw8iKpHOus+beuDIRR/SXIahhNNqDZ0nDbDr5xnKhsBGe3xDdfRwYBVaHRk6IWF/Q4AmnGSxCpQjLZu3yR1vp0uqDmiSee4KGHHqKgoIARI0bw+OOPc9hhh7V3t4R2FouGkRc/k7Dd/Mu/CfYaj6UNFql2dNHKQgzf/jN+Y9gP6+eCNbV2QLMPxw/3UJU1Apsn/s9SsyRBxtCaRH/7MpiR9tuhFYrEMFZso9cH08C3GwAFyFr/Ka5RlxF2/QnMTd+N5bQYIbM7oaIw/PCovkskTq4iaW+A0xSRKghW1smkq2ka5C2vFdBUC1Zg+uXf+I9/AJezCTcdqwcrNP4m14aSHFa0zEx+3FTMFwVHE1OPwrhT4srcLCbY/SgFK0AxEjG5YOcq3D/eo68dScql4vA/4es7AUfSwbNrFiCiKviHXkjqilfjtpeMvhZNdjX939vianQ9ra6sU5U3feutt7jxxhu58847+fXXXxkxYgQnnngihYUH3158obZYJIzBV5D4Af6ienfDHExikVDt7d37kfOWYgnsTnyCwrUoauLtxmZPBpFTn9B3x+wnfPJ/kPbbLh6oqsT+04N6QJM2AHIOA1sKAPZlz6L48xt4RQ0wWvW+xAloAOTcOGUDEokEiRWsJvbhH+H5E9HePIfYhnmofr1QpqbGcK17J+HTLRs+wxQub0rvO7xkh4mpI7K569Qh/G3qYB44OZfBRZ9heHocPHMMfHUHxtXv45xztp4vKhaB4g24P70cefGz+Cu97f0S2pTFKLNVTads4oN1Uir4Rl3KFusw7Jb2H43rrDrVSM2jjz7KZZddxkUXXQTAf//7Xz799FOef/55br311jqPD4VChEI187xe78H1x3MwMZptBHOPxZJgnjrSfSxSW3+K2VNAUNs4D+xpSP2O1+fJ2zmHUUwyQnJvfVt3HJG0YRgsnsS7VpJ6Ihvq3/FozBpG5PLv0X57G9POn4m6c+HQS5GtSWjFG4nEwmBPxejKwhr1Yg6Vwrlv69vu/UVwyMV6srwv78C0/hPoObLm5N58qNgOpVv1cg+eHD0PTwJmTxaR4+7B+NbMuo2p/fSdPI0U2/UrystTq+siSWVbULb9SHT8n9HGXoNidqCaHIk/LRqtGA1d84aVuqeQqLbpZ/jompqGURfAR9fGfY7tl38RGnkuOA+eEQZJkshMT+PxVaOZNfM7nKUrkaIhqtJH8dHGKJPTsrEaO9WtuUPpND+5cDjM0qVLue2226qPybLMcccdx88//xz3Offddx933x0nzbjQ5UiyjDL4VPj5sbo7MRQjHH0TZlsbzjN789DeOh9p1xKqV098cSvqtP8iDz4l7ihGWzE40/Af+WfsH1wYp9GCNvAUNBn95xaL1HlIdPytDWfMlhWMqb1hwi0QDWCQjUQLVmF48aSaxG1GK9EJd2AYNBVGzIS3ZtW+XtoAmP4shu2Lao6VboZXz9D/u1dybzjvPT3ASaTHEURnvIrhq79A+XaQFWIDT0M77k5MSd3qfy17RCryMX58bdxCj4bvHyI6bCZYXaijZyOviF+HKzb6QhRHF55uqSpBmvf32sckCUIJPlDGIlCZB+ktt6apM+ieZOOCYwZz/+dr+T0vc08tsyruOGUIPZNbdifewabTBDXFxcXEYrE6WYszMjJYu3Zt3Ofcdttt3HjjjdXfe71ecnJEIqiuypDck8iFXyDPvQVly3z9YNYIwic9rN/42kosgvrzU8i7ltQ+rmnIH15JrNtilLR+bdef/ZgMCuGe4/Ad/VccPz1YMy3nSMd76vPgyMZiNhA7dw7Ku7NrgkTZQOzoPyH3OrrxF5NlMNmJFW/C8PIptauCRwIYvvoLWr9J+m6k/QOoonWw/DXkY/Z8kPEXwdsX1A5oQP/+ndl6YGOPvyvLaPfAkKmEs0cjhX2gmFAcaSiWxgeXWqC8ZidYnUaVWN5yDGl9MKT2Qx1zEfLSF2o/JH0I8qjzQKl/pMZXXowSrUKTFBRXBubW/NSuqlCZD948PfBIytV/hpbmVdyOhgIYivZ7P46TtbpWcyMTzXU1ual2Hj5rOOVVEVQN3BbDQblwuqV1mqCmOcxm88GbGPAgJMkyxowBBKa/gBIsQ9NUNLMbi7tt63DFKgtRlj4fv1HT0NZ9Du0Y1AA4ktIpO+QKKgadTtRbgGQwozjT0ByZePbUQVJyx6Fe8T2aNx+iQSRPDoojvVnTZ/L6ubUDmr08PZC2/VgnKWK1NR8jTbxD/39/ceIaXvkr9PYEQc1ejR2ViUej/h1LqrTn5m1PQZ54B9qIc2DJ80jhStQR5yB3G6Nv103A769ELlqDdf7fUXYuBkcG/kOvQRs8FUtSK+QbUWOQtwzemKn/7EAfVRl1gV5Cw9H0v5swBgxJubWnNr15kNIHSjbVfYI9Vd+VdpBymI04zB2tPnzn1mmCmtTUVBRFYffu2gsYd+/eTWZmI/fzCwcFqzMZnMntdv1YLIqSYOcQgOqtZ0FzG0pyu8DtIpDaC0WWMBn2WwmiGJA9OfqalQMQ9ZdiyFsav9HkgPoWeKtRItEYJiAW9NWbnTYWqqxp95eg+QrRKguQ7Kn64uRm3KT3FTV7MGcOh4Lf6jbKBuTMYTXf21OQ7CnQ/VDQVGSl/rdaTdNQdi3B8sbpNTmWyrdh/+pPhHb+TNWJDybcbdZsFTvh5VNrB5uaBr++pK81OuIPDY6y7K/KmETwsD+R/MnFNQd/fhIm3w9zLqs9DWUwEzvzZYyexIGeIDRVp9n9ZDKZGDNmDPPm1WQIVVWVefPmMXbs2HbsmSDsoUYhFiWi2FGzxyR8WCj32DbsVMOsJqVuQNOSQj5I6Ru/rWwrZNVTe8vTk4iirzGIWpJAStBPSSZq1jNDq+U70d46D+mpI5BfPQ3p6aPgldNRS7c2/zUAFncGVZP/HXekyjfpfiLWOKNEsgwNBDQAwbJ8LF/cXCtp5F7mNe9hqKpnN1ozadsXxh89A/jhsert9U2RbDOR7xlN5ZG36muyAMq2wI+PE7v4C2JTHkEbNoPY8f8kduVClJzDmhw4CUJ9Os1IDcCNN97I7NmzOeSQQzjssMP417/+hd/vr94NJQjtwleoD7cvfQFiEayjLyB66hOYnj+uTq4XNW0IamrdStpdmRqLQvdD4teoiVShOTKI9TgSw/afarcZzFROeQLVpo+wlGgukgefheX3N+tcIzjkHEo1F1mBcvjkeqT9z7V7FfLb5xObNQfF2bwRG0WWiKUNxnfRd0jLX8Oev5CwM4fAmMuRU/rgdDZvHQqAHK5MvF4HiG1bCNlDm33+eLSitYkn1KpK0KLhBibc6pJlidT0LN7YdgoTZkzFGd6NppjZEXWza6edE4bPxnHYpaIelNBqOlVQM3PmTIqKivjb3/5GQUEBI0eOZO7cuXUWDwtCm/EVon18A9K6T6oPyWs/wdjzSMIXfY3p46v0dQtGK4Gh51I04irstoPr91W1pxBb9jLK9Gfgsz/pC1MBDGYYew2qLYVNR/+b7mufx77yZX30YOLfUHuNx75+LtrmuUQHTcXt7Mmy/tcx0uLGuuIliAbBaKVq+GyW5VxAd4OdWOUuDBu/it+Rgt/QfIXQzKAGwGmzgK0fZY4/E474kQxmbDYbpgPcpi0pBn09S4KqNa2RjiCUMSpxgjdPD4IYm5XwL8Nl4fTD+rO91M+HWw04zAaOH5LBIJcFh0WsHxFal6j9JLSbYDhK1FeMHA2gyQZUWzpOW+da2K2um4v8Rpz8J0Bs6v+xynU0xoiXGApexUO/7BTSnR1wt0ewQt8JY/XoN9cWFinZivGzm2DoaXoBxFgUFBNRSzJq5giqwlHW7irDrlbSI8mEc9UryD/9u9Y5Yn2Op2TSIzz43W4uGGbBSogAZl5aGcBus/PnkwZi3L0C0/MTE/YjfN7HmPqOb/HXd6Ai/jLk9y5F2fR13UbZQOQPi/Ut8i0ob9tGst+ZEneaqfSkJwkPmk6muyPmMRYORqL2k9Ch+SpKYddSHN/dpafTtyXjH30lgdHnY03uJAsHw37kRU8nbFYWP8PgWSdRomaiyBLDnB0wYKssgG0/waJnIBaC4efAwCng7t6ilzGm5BI6+V9oBauQN3+P5u6O3O9EZLMF4/bv8Wz+liM8OcS6HYYU8dYJaACUTV/hGfANYwccz7nv/I4vFMVhNnDJUb04/4ie2M0GgmaXvu4mToVwANXeMctkGO1JRE96AF4+Wf832UuSiJz6JLKz5Uf3tkY9xKa9S86310Her/pBs5OKsX/m2+gwjj5Ii70KnZsIaoQ2F4nFkLf/gG3O+TUHq0qx/3Av4d3LqTr539g8bbsNuzmi0SiGaOJyAUQDoKlkdtQqxZUFaO9djrTlu5pju36FX56C2R+3eGBjTs6B5BwYPHnP9XejfflXpCGn6aM36z5HUWNoeXHqJu1hWvwUp8yazBE3HE0womI1KaQ5zBj3FNcMm1ORh8zAtOqtOs+N5k4gamm/XXENMaT1JXLRV7D1BwybviLmyYXhM5Hd3VHMLZ+Fuleqnctf9nL20EcZe7SGFAtRrtl5YomfGYeld8wRRUFogAhqhDYXrcjHFqeaNoBpw2do/tugEwQ1QdlGrN903Nt+itvu6zeNqOLC07bdarRY3jKUvQGNKxsGTNELNO5agrrsdeSjb2owUdwBXX/nUpQRZ+sp9L279INJuUjB0sRPClagxaJ0S7HpIxqlW2DNCvD0gMxhOBxZeI/+Kxoy5tVv67lYJIlI38n4Jt2H3Vl/Hpv2ZkzuAcnnwuhzW/3NOctt5f/OHcVfP1jF7V/oeWpS7D7+MmUQR/ROaeWrC0LrEEGN0ObkUGVNqvw41J2/Qrfhbdij5jEbZXZ3n4A7uXfdLLeODLwDz8JtaMbCSF+hvg12zadgssGgU/Wgw+ppkX4DEA2hLH1Rn6o54R96BtlV70O4Enodg5xzCFqgFMnROtM1WsiHUrQaitfVBDSgL6oeegZsnBf3eeHciWgWD5TvgNfO0LMO72V2IZ//AZb04ZRPuAd1zHVoQS+SxQH2NByupANe0NvhxWLgL9Sn3yxuMNefMblnip0nzh1NiT9MOKrishjIcFmQxdST0EmJoEaIz1+sVzWWFbCnNyrXRmNJBlO9Oz0Ue+f4lGhUFML2LNae+DrdNr+Nc82boMbwD5hOwcALCJuyyDY38edWWYD2wdVI+y4YnX8fjP8zHHEV2JJapO/RmIoBDY69HXYshtUf1DTuWATOLLTZn7ZaUBOORDFnDoMFD9ZuKFgJx/xZn/qq2Fm7zWhDO+oGrIoKH91SO6ABPbHba2dgueJ7LKk5BNxuqkIxrCYFm+kgeKvz5sGvr8DiZyFUidZnEtKkOyC5L9QTXLusRlxWsStJ6Bo6TfI9oY2EfLD1R3h1OvxrKDw5Vr/xVLZcFlzZnkqs7wnxGw0WpKxh8ds6oG4eK4VSKneUTeHTI17ni3FvcXfVmawLJNGjqYXpNA1tzSe1A5q9FjyAtv9o0AGIySbKhszWk+LtG9DsVZmP9tN/IFLPmqEDoJmdqPb0uMUh+fwWmPpvGHGOvu1bkqDvcWizP0azp0NVMaz/PP6JA2VoZVsAsBoNpDjMB0dAU1mA9uZ5MP9evUZWNIi07lN45hgoWd/evROENiOCGqG2nYvhxSl6LR2AYDl89wDae1eAr6hFLmGwudFOekBfB7Ev2UB0xssY3Z1k9xNgNioc1TeVP08ZSm7P3mTn9OL6E4dwwpAM7E0dpfEXIv3yZOL2Jc/r0wstwGxUMOQcirZ5fsLHKCvfJlxZ3CLX25/FqBC1pUG/E+s2evPgzXP1GkSnPwNnvgip/ZFePQODfzexSDDhKB/otbcONrHdq5HilaKIhtC+vhuCCapkC0IXcxB8hBEazbcbPv9T3CZpy3zU8h3ILTQdYUjpRXT255C/AmnrArSkXOh3AgZ3NzB0rkq1siyR5bGS5TmwnB6RaBRjsCJhu1RVhKZFkZqbjzVQrk8rRoNgcaPY0tEkKXHWWE1lbxqrUn+IikAEVQWn1dAiO2PKlRSSJvwV49bvIVRZu7HnUZD/K3xxe63DypoP0Iadqe+W2ls9fD/R5P4H3RubtOajxG2bviYW9KK0QgI/QehoDra/faEesWAlSvGGhO3atp+g++gWu54hqTskdYfBJ7fYOTurUDRGQHJg7TkB8+p34z7G2/sULBhoTsinlW6Fj69F2rJAP2B2YTnuLmKDz0ReEr+ieHjANCImN4WFZUS9+VgrtoAaIZjUj83eFLLT07AYm7/wNt1lZUNVd1znfEnKyv9h2PQ1WFwwfCbYkuHj6+o8R6rMR1rxJuoxtyLP/XPdPucey27NQ8+9ByJBfeG1r0BfFO3IAGdWi64R6wiiRlfi3wuTg6iqidIEwkGha/1lCwckioIiG+KvcwDC5qRmpU0XEivxhYh4d6P6S3FYjGhH3QgbPtUXae/L0wNf9pE4labPGKsVecivnl57h1bIi/zpjXDxF4T7noRp49zaT7IlEzv6T0RjURxb5pL01fUQDeltsoL3iJupMl+MJTWzyf3ZV48UBxsLu/Gu5RKyx5zH4Awb/VY+grzy7QRPOBy+vAN5/J8IT/kXpgX36SOMBguBYeextu+l2I0e/bGBClj9Psy9tebnaXHrU1q9jwFjO/82B71QVQKxMJiderDVzGzO/gGnY1pYN2EhgG/o+YQNSXTA1I+C0OJEUCNU8ykeGHAa5jVxRgpkA6GsQ0VQ04JKvT7k/BVkfn1DzU6eoWcSm/05fPtPlM3zQDERHHQmu4Zfg2zLQmrOTa94Xd0t53vI716CPPtTSjeeTvJKfdeMv/dkYiPPB3cP5MLVuOb+ofYaFjWG66cHqMgaTZXzOGxNXTu0D7NRYUg3N92TrfhDMQyyRNR8Oabf5+g5ZvaVMVQvr+Avgs9voXj2z2yc8A5plhhBzcArK4NULPbx0Iw9U2OFq+uO9gQr4M1z4KqfIX1gs/t9wMq26cHW+s/1n60zC068F/pMAmvTC2NWWTJRjrwV10/31zqupg2mfNhFJJtFIj3h4CCCGqGaZLJReOgt5BQug5JN+zTIlEx+moAptcMmkuuMzL4d2N8+Tf+kvteqd1G2/UjFOR+zZVSQqAqfbAgzQU3liKZkJg5VEvMVQyyEsn1h4sd5d6LFIkhDp1Pa51hQo2gWD267lVg0grTsuYSLct1LnyDSbTDari2w4k19p9Ko85CSekETt+W7rSb2lhnyyQOJnv851m/uQNrxC5jsMOwsGHASzLms+jkuKcgtX5ZR4A1iMynMOrwHfz66N8l2EwS9aN89EH+9kKaiLf4f0kn3gdIOW5m9efDKabUDzcp8ePciOOdNGDBZ34VYVaw/1mgDR3q9IzlmZzLfuacxcuYkUjfOwRgqpST3FLYa+5DpyDygwFMQOhPxmy5US7abyTNnsOvol8iNbcWV9z0hWzbl3Sfy/W4TU231J/LqUKpK9RvC+i8ADfqfqCews3WMHDh+vw/DL0/WDmj2qszHvvw5zMNvJhKVuWyilXSnGaOhEVNPkSCUbED75h6UHQv10Y1R5yd+vMlBTDaRZDeBvXZ9ISkSQanYmvi5h12K4aOrkLb+UHNs6Quooy5APu5OsDeQvVeN6VOdhtoTIw6Hk6j1UGLT/ouhcKU+7bXmI3hzFsgGsHhAklAcKXxw9WACkRgmRSbNaapJrhepQqpnC7xUuFpfMN0eQU3hmoQjZ3z5V8gYirbkeaSf/lMzFezMRJv5GlLWyLjrgVIdZo4Y3JvFW0pZpJ2PZoSMSjOnjOhGTpIYXxUOHiKoEWrpn+Fki5LL4z9BeaAbig8mJqcwZVSqfuPrDPzF+qf0Rc/UHPvmH2hjLkKaeDt0gKKGStSPOX9xwnbDzoX0OkrD4mparSItbxnSSycj7Z262fo9HH4FmF16crr9VI28iLA5lXhjQIrJSiznCJS9i4v3lT0KrWx77YBmD3nZy8SGzUDpnaAadqACyrfqW9S9eTDwZH3axZNT/RCDIlMiuzFtWYxz8eOQNRKm7/n3DPmIZQxDNdgT1tWqwow5bSBK+ba47cH0ESiSmfZIOadu+ylxLo2SjWj+QqQfHq19vLIA6eVT0a76GSmpZ9ynpjktTBmezZF9U4mqGm6rAWMrlrkQhI5IBDVCLSaDwoBMJ385eRC+YBSDIpHi6FxLDNX835D3DWj2kJa+gDpgCnL/BIn/2pDJbEN1dkMuXBO3PebqjtnSxCKGviKkT2+ouxbluwdh+tN6jSV/Td6ZSP9TCI25nCRnguvICtKIc2DhExD2124beArSitcSdkVe9LS+qHe/URhClbD8Vfhin9pfG77UdyVdPBeSe1cfNlpdrO55AQNyjsJjjOj937ONW5EkbKNn6xmRHXXrhFVhxX/IDaRt+KJu5xQj3sHnYtOkdglqYu4eiYMaixupfHv8trAfdeM3KIdeVO/5PbZO8uFDEFqBSL4nxGU3G8hwWzpdQEPIpw/bJyD/9J8OkYhMtjhRj7ox8QPGXotkalpG4mhVuT61sb+C32De32Hma3D++3DGc2gXfooyZCqW8k1UleYn7qenB+qFn0L6oJqD7hzUvsfXDXT2IYV9hCORug2Vu2sHNHv5dqN9eUetfDUuq5HePXsgp/WFOZfWzkujaUhLX0Rd9R6oap3TOa1Gfq5IoWTKs3pOm+qGLAqnvckKnxt7O2Ua9maMBSV+4BE75FJY/nrC52q7V7VWtwShSxAjNUKXEo2EMCRIygZAoFR/TAfYDGLIGExs0t9RvrlLL0AIICuox9+Dkj6gyeeLIWNIVFOrcA0UroVdS2D950hVpUiaihUI9zmewMn/wZocJ5OzYkDOHgUXfAyBUn0UyJZElexC6T0Z669Px+1LZb/TMRnqruWIbfo2Yb4Uad1naFWlSGZn9bE0p4XY2gX6+pc45B8ehcHTwJVV67jZoDC8dzdu+rCYP5z0MZkGH0gyW6qsPL3Qz0MzUpu3k6wFLCmzMHraa6R9PBsiVdXHw72Oo3LQLFLWnJXwucH00XSilW2C0OZEUCN0KQHFjtxzEvb85XHbq3pOIirb6RC5VW1JKIddgjZkKmr+SkBCzhqmZ202Nf3WFTC6UXKPxbDlm7qNkgxZw+GTugntTJu+omrHL6ie0xJXZ3ak6V972DWNykMuw7rm7bqZfZN6ofWegDlOYr5YuCpxEjhNJRqN1ZkS0vYvXLkv324i0XDcaaScZBu3nzKM+z5fw7frSlEkiZOHZ3HfGcPpltTEulwtqH92Cn9818rtp39Jmn8TcrCUYOpQvi8wUrZO5cKjbsP+4SV1n2hNItr9iLbvsCB0IiKoEboUo8GId/BM7Cuer3uztbjxDZ2Fw9iB1hyYHUhmB8o+a0maQ9M0ZIubwAkP4Xz1JD2Xy75Oul/fQZSA7ddnCfSegNXZuCrgkiQRcnSn4KzP8Cz5N5YNn4BixD/4bCqGX4LZnlX3SZEA9D0ByrfA7+/rdcX2oWaPIaDY6wQogcxDcJJASl8iGOMGNYos0S/Dyb/PHoU3EAUJkqzGdt/enO40c9bhvZj6ygpS7Q5sZjf55SX0TrPzwoUDKay0kHLM33H9/EDNFF9qPwpOfBri/VwFQagmaVo9leG6GK/Xi9vtpqKiAperQ3xWF1rBxgIvZu8WMhfdi3HTl4BGpPcJ7D78L1S5etE/s+nJzTqyqtJ81PLtqNsXITkzsPUYRSR/NZbf3yBo70Zw2HkY7Ek43jtfX18TT/ZoQue8g9nZwDbs/RR4g5SUVehTU4DiTCfV5SDVuc9arEgASrfAT49D/nI0T0+kkefC5vmw5Dn9MYqR3TM+gqzRZOy3o6lk1yZSXj+xbqAGlEx9AW3AyaR2srVfVaEouyuDfLV6N4WVISYMSKdfuoMMl4WyqjC/btpNhlyBS6tAU8xs8lvo0aMnfdIc7TZtJgjtqbH3bxHUCF2OPxTlu/WFbNiez4Se+qjMgh0RenXLZEL/NByW9tjz0jpCpTtR3rsEw859EuwZzATOeI3NtmGsLAgxumcSOR4Lhl8ex/jt3+OeJ3zcPZjGXd3sNP2haAwJCdP+uXQ0TQ9eXjuj7q6sE+6B/OVEwiGKxlzPMl8KJ43ogbJfKYi88gBq8Qa6f3Md5P2qH7R4KBv3V3ZkHs+wvj273I0+HI1RWBmi1B/GZJBJsZtIa4EiooLQWYmgJg4R1Bw8wrEYhd4Qhd4QGhoZLgvpTnNNcrYuIBioQpp3F+YlcRbrKiZCV/6COa1mWitaug3DiyfpuWH25c4hOvszDMk9Wr6T3jz436S61wQwWPBdvIDHF3mJGe1cMb4Pac66Iy7RmMrveRWs37Kd0akxZDVCiWpjt+bhmD4eHFZr1ylQWVWqj0gFyvRdW7bUJmdnFvaIhvS6YKVbIBaBlD769n9TE1MlCB1CY+/fXeSdQBBqMykK3ZNsdG/HBaGtTfIXYV7xSvzGWBh164+wT1BjSO5J9MK5SIueQVn1NiARGzYT7dBLWyegAWL+EpR4AQ1ANIg5sJtZR48h2W5KOIJmUGSGdvOQ5rRQUBEkqmqMdHoxbvoM6f25evmAwy6HpFyweurvUFVpzVoei0evBt5RVOyE96/UEybu1XOcnnTQ3b39+tUZhX2w7gv48A81O+dkAxz7VxhzIdgat3ZM6HxEUCMInZSkRmttCa7THieYMCT3hOPuhCOvAUCxp7ZqqYCYqiXe7QSARI+Uhj85K7JEtsdKtscKJRvh+RNrJRJk+Wtw/D/1G5YlzrJiNYZWuAY+uQFp5yIAtO6HwSmPIqUNavmRHn8xmr8YLexHsiYhOdLBXM+Otqr/b+++w6MqsweOf6f3mfRGQgu9CNKbJYqADVHBshZQRNZFXfu667rq7rq6K7vqT13LqmAXLFjXVURARRQUEQFBSkIggSSkTtq0O78/LhBCZkLAJJOZnM/z5EHve2fm5TKZe+Yt55TDu9c3DmgAdq2CJXPhopc6VgDW0ZXvgrdnH1GI1Q/L7iWYMQRN9mmR65toU5J8T4hoZbSqQ+ph6LqPC92gN6p5XZzpbV77yGOICz/KYLDgsXU5tiesd8PHdzUOaA5a+kd1uiEEpTwPzfOTDgU0AJo9a9A8NwklTCmF46WU7oRXZqD592i0z56G5okRKB//EcUdum8A1JbAzuWh2/K+DLlIWoQR8KGs+U/YQqysfAjqKtq1S6L9SFAjREfm96rrUaoK1V1EhzHGpeOfeH/IhykpAwk2E/C0GSWgTqMUrINdqzEbtLin/J869H+Espx/4NYf4+hDXSmEKn1wQDB3ZdODAR/BbxeEzoDsq4U1z6rXuRX4K/eifeXChgXNAEoA7boFBFc/oa7zCCFQ13yW60BdZav0r1Pwe9CW7QjbrKnMJ+CtC9suopsENUJ0VBW7Ydl98NR4+PcY+OhOddHjYTRdx+K/6BV1PQmAzkDghEtQLlmEMS5EhuC25PfCrq/g6ZPgPzmwYAqGx0/EVL+f6lnLqTthJqQPxdf/Agov/h8f+Ydjth7bmidFCYb/Bg4oIW5W/rpKdKGCnQO0u77Af5SgosUqdoWtwK1b+wz+ytAlKQLGIxY+6oxgdoVvF2HVY6QubWTYdl/qCdRqZCdZrJI1NbGoZr86XF1bBrYk2UERjSr3wMKz1ZvkQesWwpb3Yc5yOFCpWWeLgwHnEOgyDMVTg0ZnQO9IUaem2r3Pu+HlCyBw2KhHwIvx3WvxXvgKjxln4+rmo7A6iPcnE789PZv4Yyy+WKu1Yc0Yjrbwu5Dt9V1P4sgVOt6gAY09NezanoAtBS/6Vvkw9O/fGf55fHUo3tBroMo1LhJ6TcZQuQsm3Ax6s1pV3ZFGoHw35Zo4Uluhf52BVqenot8MLN/+u8noJhotFSNvQa+L3Q0EnZ0ENbGmIp/gG7PQFDR86Ae7TUBzwdOygyKKKD9/gjbUWo/aUpTvX0Y7cg5U74P928CRhi6+O7rkXsedZyYUf00ZwdpyCCpoLHHoHcnNnh/c+BaaQOhpHPuqB/nNRW+yx2vFatCRZDepmX19dVBdDCU/qSM9qQPBlhJ6sS9QiZ3g6Q/gePWcxsETUNf/InbWOxl8xGM0ZhvuYdcRt31pyOd0D/sNxuYW8R4DxdUtfKPejBKiHhZAvdZO3rgH6KXsQvPOXPWaHKAZfDHOXme2Sv86A6NeS6kuFeWCt0lbdqP6OwLgzGB/znzygumMtEVXskbRchLUxJKa/QTfuKpRQAOg2fUlwfd+i2b6c0ff8hprAn7w16nffNt4UWyr8bjRbnordJvejLbrGIKLr0Cz+7CEe7ZklCuWoE0d9MsDG0XBX7wF7Ue3o931pXosfSj+s/6FLn0QGn2IG4KioAmXrRigLBe7TqFf2mHTKJ5q2PIBvHdDQ4Ci0cJJt8GY65ru9vHVk1a/A3b8Fy57A9a9qO4OsiYRGH0d3rQxaJS4Ji9tMeipSRqIe9RNONY80qjNPeom/MkDiWutit3x3SCuW+MRtgPqh8zEa0km1MRHgt1IVbUfzaKZ6gjNYbQ/LsKUlA0Tbo2dfDxtLC3ezqs/J5N14rMMivdDUCG/zsTnu3X8OufYsmaL6CLJ99qQv2oflOcT3LcRTVwXSO6PPi4TtG2zlClQ9BO6J8MXvFPmfYs2uXebvHaH4/eqN5bvFqqLNpP6weg5ENc9MlMzx8BbV4P+7avQhloQO3wW1FeqtZOOZEtGmbMCbdyBEbmATy1foNGp05At5N+fi/7ZU9TXOZzehH/O5+hT+zUcCwRQ3IXgrUHjcaP5/kXYsKjpgtguw6m/aBFm12GjPfs2quuFQvnVG9BnUuNju9fCgilgsMJFL6rbn+0pUF8FG9+C6iICly9BlzG0SWBX7fGzq2AvDn8Z1n1rIBikNn00bn083TLSWy3LdHW9D//+7cS9dzUUb1YPajR4+s/Ak3MPzuTwo6WBjUvQvTkrdKM5Dq77ClzHuFusE6uo9bK3sp4PN+zFG1A4c1AaWQnWqCupIVSSfC/C/GX56BZf1vjbqzkO/2Vvo+9yYpsENkptebM5QQL1VZ1jZXgwCHvWwkvnqTd2UBewrlsIF7+sFlXUd9xRG5/WSPXgq0kIFdT0mghvzAr9wJoSlNKdalBTngffLoSf3lWDgFFzoc8ZaqK65igBAj8sQn9kQANqoLLqUfxnz0dvsqFU7yf44xvoPv+7mgFXq4f+U2HGQnjrmka7jUpG34micTSMUgR8sOY/4fvx+T8ga6SaVRfUdWIf3qLmGhk+U60jtWNZk4fpXp2OMmdlQ2B3gN2kp3fXDIrdiRTZu0EQXFYjvVs5y7TdbKAiIZvi8xerffa6wZqE1pGM09X8Ti9N6fbwjfUVEAi9c0qEFmc1Emc10j9dFll3Jp3iHtfe/HVVaJbe3XQ4vr4C/asX4q3Y0yavGzA3kyVToyFgCFvrOLa498LbcxoCmoOCipqxtXpfZPrVQjaTgeq4/tT1u7BJW1BvUm/sYQQqC9RdU8+eDqseVnfiFG2E92+At+ZAc7lSAE+dG9OuFWHb9btX46+thICf4IZF6D6+s6EauuKHTW/DF/+CnD+ox8wuys94mP+VpWI4vKZTwAvluU1f4KCqgkajPUp9ZUMxzq5jYednoR9Xsx+l/MDUT10F7N+u5nnZuwFj3X4y460MzIhjYJc4MuOtbVI2I85qJCU9C3OXQWiyRuHo0oekxOSjvpaSNiR8oyOdgE5GGIQ4GhmpaQNKdQnGLe+FbqwrVz9o2yAtfZ0hAX33HPR5TZN4+fqeR60xIeR8fqxRakrRVhWEbvRUoVTtRRuX1X4d8lRDTTHs/REIQvoJ6mLYZhanGlwprOh+M0MGXknytsVoFR/FvaaT6OqJ0exqOjV0UFIf+Orx0Mnp8r6Aok3gCL+PRqM34renh/9gsCcT1JnwVRZi+Pwfoc/ZsxZl8gPsuehj9gdsPPqNm1kT0kmwHbbTSW9B6TYebZit1sGMYWiMDdfHr2gwajTqKFzA1+y27kB1CfrqYoIf/Q7NprcbGhJ6wqWLILlP2Me2JqfFALR8RLDMlk2KK1Pd+XaEijG349UkkNKK/RMiFslITRsI+urVUYEwAkf5tny8FHMcu076O75ekxvWFGi0ePudT96Iu9CaO8cwbCAQOEp7+JGOVldXgfLtAnhsOLxxJbwxEx4bjrL22YYRjhDSXRaG9uvFRxVduUfza/6kvYG3y3pSbkzDPeqmkI8JpA9DZ0uEHxeFfd7g+pdBCf/eNJqs+EddF/6vM/omLM5Egh53Qw2lEOqLt3PDZ34uXbSHU/qlc2LXuMYnaLXU9bsAjCECO42W6jG34dc3rH2q0Tnx9TywxiYYAFMzVXoTs1G+fLhxQAPqqNVL00IX1+wAPsrXkX/uIpQuoxoOGu1UnXwvH3qHUecL/+8mhFDJSE0bCJoc6lqAMDctbUr/NnndRLuJWm8Wb3a9m1Ej7sLgr8Grt/N1sZacxCzijjEnSLTyGuMxWBOhtrRpo8GC15p2DN+fj6K+Ctz71Cy3nmroPQniuoJdXRAbKP4J3dI/Nn5MUEH76T0EMkei6x5moSyQHmdh1vgelNZ4CAYhwWbEoNOyt98MgkEF55pH1Z0yWh2+PudSMu5ukrXGkNl7D9Eajro7SonPpvbUe7GuvK/RiEj98Gshc4T6V9CZQatTMwiHoLGn8cAFg3FaDCTbTZgMjade6n1+HvqmjrkXLiF9+S2w70e1Ib47JTkP8fh3AeYleElxqmOLPr2d4nF/okvR9/DDa+ruqJV/b/K63p5noDM50H77fOi/XFUBgdKd6JztnJiwBU7IdDHthW3cOO7vnDRBgzZQT2XQzpPrasivcDNlpHxcC3E08lvSBrSONOom3Ill6e+atPm7jidgT2uz185KsDLxxD6UuOvZ4/aQ6jJzZqaJxFhb8e+tVteH7FiuTsX0PEUNJqxJBA1W6qb8C8uSWU2mKSpO/jPV2vgmCdqOS10lyvcvov3ksKBl5YMEe09CM/UxMDnQrno07MO1qx6FjKFgDN8bnVZDiqPxpKEzMZ3CAbMpzDwLg78G9Bbc+jgyE5KpJYBhwCVY1z4W8vmqBl6G6yhBjdWVSPWwWdT3Oxtf7leg+DD0mIDflozdpe6i8pkT0fadiuGnELuwrIloErMZkORq2naABg355R4ufNvNTeMeY9jJQVAC7KwxMn9ZBV6/m+sP62eK08zn+1KpPPsdupSuxuV0Epx0P5pVj6iJJg0W6gZfQfmJvyHZV4/uYGXmEJTSXHQ9JjR7DSIhK95KvzQ79y49POtwGRoNvH7tmNj7HRaiDUhQ0waMRiO1Ay+gRqPHtuoBdX2Dzohn0MUET7kTa3zbBTUAyQ4TyY4Y/gD0VMPmd+C96xuCls+AHqfAxHuxv3cD9D6DwJUfoFn9ONrizQTie1Ay7CY+2Z/AWebW2dKtVOxqHNAcoNn2Ccrm9wgMmo7BHX6qQ1NVgLe+FmMzQU0oNpOe3unxVLhs1HkD6HQasg8EPnsr66jufRm9t3/QZCFufd/z2eRJYbSioDvK7ju7Mx6c8ZjTQq8/sTvjqD3tPrQVeej2ft/QYE2gesYbaO3N77IyGXRcMbYbVy1Yyx0fNb1Gvz+zH4m2xiOLQ7PiWL0zwEPbTuC0PvGMzU7Bl3g6+kAdQZ0ZvzWZ9AQX/tpCDEa7GviG4IvPbr2RulaU5DDx8MUn8tqafBZ+lUdFrY9h3eL441kD6JfeSRb5C/ELSVDTRqxxKVQPu5K6PpMIemvQ6E34LMk4HfLh9ItVFcC785oez10Jm98FayJ8+TC6bxegjL2Bkgn38tKGalZ94eVfF/ciqTUCvmBQzYEThvabp1D6nkN9+ijMe38IeU59xij8OivHOymoblltfMxhMvDQ9/XMnPgKmaVfkbjzHRS9leIBs1hT14WA337UgKal9PGZ1F74Kr7y3VD8E0FnBvqU3mgcXVqU92VghpNT+yazYmvjCtS9UuxMHZKBVtt4RMlpMTB5YBpDs+Ko9QYw6jUkObPx+BVMeu2h6dX9viQCw3+NffX8pi+a2AuPPZOOmqko1WnmhpxeXDKyK0owiMWgI94W5dPGtWVQtQc2v6+uh+p/LriyGudO8nvUCuueajWPlC1CpT5E1JPkeyLqBJf/DU2I9RQA2JLhtLvh/RsPHfKc9wz5GWfhshqaTOUcN8UPi2eqGXEPShkA424AkwMUP0rqYOoCGmz/GQdHTofoTVTMXIEtoy8GXetuK/5pbxXnPvYlfdMcnNLdQp0f/rulAp1Gw5vXjSMj7kCq/oBf3d5etRcUHzi7qNfvGG8mdV4/dd4ABr0WxzEmsSt21/PD7kpeXJ2HL6AwY3gW47ITSY8LXU6gJTz+AHl5eWT+9B9s6589tLVfyRzNnpxHMCf3PLRWR7Sxmv2w4kFYe0ROosEzYPLf1OSJ1cXwzVPw9ZNq1XSdAU64BHLuAudR8iqJTkOS74nYVRlmuzaoi4OP2Cpt+uFFeg84C0ytdyPzo6W2x5k4DwY1WaNg3I3w4a3qN05AqzNiOek2aq/6DOu71zRkmE3pT9Gp8wnaM4lr5YAGIDvZxpvXjePe9zby76+K0Gk1nDkojTum9GsIaHz1BPO+QPPW7Ibt4Tojyun3oD3xsoakdy1gMeqxHGeZgRSHmTMGmBnfK5GAEjzmoCgUk15HfEoX3i++iiHTL8MWqMKvs7K+TM9QZ1cJaNpT0aamAQ3Aj2/AgPMg+wxY9SisfryhLeCD719S10pNe7JpuQwhmiFBjYg6dT0nYV3/cujGrmPV9PuH02hRgq2bv0Cv1eLLGqcOo1fuhpNvh8VXNq4KHPCiXfE3TIm9+e60l3EqVQSDQYp9FrqkZNHN1SrLlZsw6nUMzYrj+VmjqPb40Go0JFiNagHJA5SKfLSvXdx491LAi/aTu1CS+6PtfXqb9C0ca2vVXjogxWnmzBN7UlrtodDtwWk2MCHT2HojdeLovDUEVz9B2GXpqx6FtBNgzTOh23/+nzrSI0GNOAYS1IioU2TvT4+EnmrekcNptDB2Hrz/20aHywfOxKAx0zp1mBt4rOnknbuYjNwlGAu+axzQHEa38m8MvuIDigLpBIETLIYDidnaVoLN2Djh3UGKAuteCrsdW7vyb9BlGFhbPlrTEbksBlwWAz2TW/tfXrRIwI+mPnwuJuorCPrqwlZ2BwhU7kHXTskSRWyQ5Hsi6qyrsLD9zFepH3hxQ+Xt9CEEL365Ydj6AH/mWAodg9Fpm9/GfDwy4iwEXV35JnMmwbKmVZkPKduJLugnK8FK1wRr2wY0AT94a5vNuKsEvGhLNod/jvI8vJ6a8O1CtIDPYKO2x+Sw7fU9ziCgb37tVMAU3YG1aH8yUiOizqjuiUx7Ygtn9ZvDhdNuQK9R2FoOvbHQp9fZmOvKQaOjpP8V/GQchFGfiMXQNm/1Hsl20lxmasuGYeO10Ccl9cGj6Np2x019FZTnEVz7LJqKfILZp6EZcJ6au+eIvDR+DPhTh2Hd/mnIpwokD8CrsRz3riwhAGp9QSq7n0PX755sWrbD7KK0/xVYghZc3U9BlxeiXEZCT6oMibS8vrwQMlIjolBGnIUXrh7Filw3017J55yX9/DHT/byeaGWRf6TeCTlfv6Z9GcuWZXOx7ugd2rbbqO3GPVUZ52i7noKYf/oO6k2tOE3Tm81yo9vwNMnoVn3Auxcjmbp3fDMKQRLtjY53aDX4u0/HQyhvyVXjbmDYDNlCIRoCYtBx2tbg+ya9g7efuerma41Wny9z2LPhe/znw1+6rR2csf9HSX1hMYPjuvKnjMX4tbJehpxbGRLt4haxVX1lNV48QYUEmxGLAYdu8tr+WDDXgxaLWefkE6XOEu75Pn4qbCc+KqfSft4bkPSO6ONynG/54f4yYwakI3Z0Po7nQA17f/jw0PWGwt2G4/mklea7GbaV+5Gu+8HUj7+DVQcmDqzxFN26oPUdcuhS1r4opeilXmq1W3NBWvVf8MuI9StzubwGZmjxU97q7jwya+4ZGgi5/Q2owGW5np46btSXpw9ir6pDv619GdOTPQx1FWDviKPgCOD7d4E3vjZz31TB4VeFyY6nZbevyWoEaIVlFZ7eHL5DkYkexng9KJRfFRonLy80cO8MwbQNaHtJp/86xejf2dO2PbA9d+hS+rV+JgSZEdJNSV788k01kBQoSxoJ2BNpX+XeGwmmZluF3UV8P3LsPTuxkHphFvUnEdRvvOn1uvn859LuO2NDVR71EKyFoOOP583kCmD0nCYDRRX1fN/y7axZH0BDpOBqnofJ/VO4t6pA0l3HX++IhFbJKgJQYIa0Zb2uz38WFDJs1/upMYT4KzBaZw1OJ3M+LbNjFq/5gXM/70xbLv3ujUYU/uGbCtxeyiv9RJQgsRZDaQ5zWiOUhtKtKI9a+HZiaHbLn8berXv1vq24AsoFFd5KHbXowSDpDrNpDhMGPUNI5e1Xj/73R7c9X5sJj2JdmOr5CwSsUOS7wnRzpIcJnL6pTCqRzy+QBCn2dAk1X+LeGvVhHha/aFq383xZ4wI35jSH4/eEXbRb1TUCfN71OKlnkowWNWsx+YY+FLiq4Ovngjf/sW/1KkoS3RPQxl0WrrEW+gSH37UxWrU0zVRbkfil5N3kRCtzGY6zm+YAb+ae+eL+bBzhboOZuz10GcS2MOvcfFakqkZcjW2H55v3KDVU5bzDzTmxOPrT0dQUwJrnoWv/k9Noa/RQJ8pcNZDauLDaOb3gruZ7NjV+yDgab/+CBEDomb30/3338+4ceOwWq3ExcVFujuiM6gpVRdwHqgd1OZKtsDTJ8GGRWqphZItaiXy929uuiX2MHprPLmDrqfkrGchfSg40vH1ncreS5dSET+QeFsHGompLIBtS9VRiJ8+hIrd4XPqBHzw7QJY+aAa0IB67taPCL5+ufpvE82MdvzdTg7bHMgaG3ZHnRAitKgZqfF6vcyYMYOxY8fy3HPPRbo7Ipa598GOz9QCe95q6D8VRlwF8d3b7jXrKgj+7040Rxa+BNj6IVTc1riq8WGcFgMZGZls08Xx7YkDMGsDVActDIhLJyuhAy203L8NXjgX3HsbjlniYeYHkDao6fnufWoq/RA0e9cTrCpAY09po862vdpAEHfv6aSueUp9nx1OZ6R0yFyMPh1xsrREiBaLmpGa++67j5tvvpnBgwdHuisillUXwZJfwzvXwb4N6nTQqkfgP6dBWW7bva6nCk3eF2Gbla0fNfvwBJuJ0T0TGT+4D4P79uWMoT3JTrZjbIOCmcelZj+8NbtxQANQVw6vXaxWCj+C4nE3vdkf3l6yrbV72a78gSD/WlNPwQXvoBy+LiptMPsuXML8bzz4Ap1mH4cQrSJqRmqOh8fjweNpmJOuqqqKYG9EVCjZCjuXNz1eWwpfPgJnPhg2ad0v4VdAr9WD4g/ZrugtLfoG0h41pY6HUrMf7d4fQjdW7iHgLkLnTG902K81Y2zmmvjtGXSQkO242E16eiQ7Of+tXK4f8xCjJ2ghGGTDfnj0/XImD4zHZYnpj2ghWl3UjNQcjwceeACXy3XoJysryhcWirb3/avh2za9pY4stAG31omn73lh26u7hdn2GyUCntpm25V6d5NjFdo4vP0vDP0ARxpV5i6t0bWI0Wo1nDMknYAS5E9L9zL5xQImv1TI7R8VUlnr48qx3RttexZCHF1Eg5o777wTjUbT7M+WLVuO+/l///vfU1lZeehn9+7drdj7Tqy6GPb+AJuWQP43UFUY6R61mqCumZEObdt9a67DROGwW8GR3qStasxt/FwX3QtG/aY40JtDN2o0+G1pTQ77tBZ+HnxL08W0zi4UnPsa5brorwqUGW/lrevGce4J6ei1GrQaOGNACkvmjSerjfMbCRGLIjq2eeuttzJr1qxmz+nZs+dxP7/JZMJk6kA7P2JB5R5YdAUUrms45spUE4Ulh07wFk38Qy7D8P2LIdt8gy/FYG2bG2m81cDDP2uYeuabZOxfTUL+//CZkynufznv7DIzOeHo+Wo6Mrc+Ef/IG3Gs/keTtrpBl1Otj+PISb0Up4mPNhr5scefmTA2gKEqH8WazA6Pi1fX+PjLtNhIn989ycbfLzyBO8/qD0FwWQzYzTLtJMTxiOhvTnJyMsnJ0f1h3anUV8GHtzYOaEANdF6ZDld/As6mIw3RZIsniV79p2P56c3GDXHdKOg7E2udQkobDJpYjHquHNedX/3nGxzmfgzLOJFKb5Bli0q5bXIXUp3RHZybLVY2Zkynf04CcWv+qeafscTjHnYdWzKm0TNEMj2DTsv5J3bhze+CnLtoB1qtg3pfDaf1s3H3OQNIskf3NTmc1aTHKqUphPjFoua3KD8/n7KyMvLz8wkEAqxfvx6AXr16YbfbI9u5zqKmBLZ9HLqtIh/chVEd1AS9NeRX+Snt+zv69Z5Oyubn0fpqKOs5lYLkk5j3ViGL5nZrs9fPjLeyaO4Y1udX8N8f95LmMvPWb/qSEWeJzpTxdZXqIl9zHE6Lge5du/JE3kmclDOORHOQKp+GT3druSoji8QwAUqi3cTVE3pwzgkZVHv8WAxaEu0mqU0lhAgpamo/zZo1ixdeeKHJ8eXLl3Pqqae26Dmk9tMvE9y7Ac3TJ4VtVy5dhLbvlHbs0XGo2a+m3dfqwHFgHcfBNULfPAXeGsp6nktx+ml8uMOL4vfxRX49G/ZUMqZnAk9fPhyXNTamPdpMdTHsXgOrH1e3ZPc7F4ZcAvHdqKj1sr/aS3mtF5fFQKLNGDagEUKIg6SgZQgS1Pwy3v25GJ8aA6ESxAG+uV9hSB/Yzr1qofoqKPgWlv4JijaCMxNOvg2yT4dP74GNbzU+P64r285axJSFeQSUIBoNLPnNeIZmxUWk+1GjpgQ+vA02v9P4uC0JZn8KCT0i0i0hRHRr6f07prd0i9ZVQjw1w64N2ebvdjLFSgctvKco8PPH8NL5sO9HNdV+5W749F41wDkyoAGoyCdj64tM6Z9AjyQbL109mt4pMs15VGW5TQMaUEfIPp8P3rp275IQovOQoEa0WL2iZ1XSRVSPvlmtlgyg1eEdMJ3No//BPn8H3YLq3gsf39n0ePcJ6rb0MGw/LeIfZ2awaO4YJvROknUcLbFhcfi2jW9CXVn79UUI0enIp7RosXibkSfXVvKB60xmT70Au6Yer9bMm1u8vL+kgHfmdY90F0OrrwhdEFKjhWAg/OMUBZtRj80RJr+KaEKhmW9KGg1o2rEzQohOR4Ia0WIJNiP/vGgoFz/zNe9tbAgSzAYtL88eTaqzY978A1pD6HT6+avhjD/Dj2+GaqW+73l4tU5k9VXL+QbOwLT2PyHbvAMuJGiIQ5YFCyHaigQ14pj0TLbz7rzx/FhQyXd5ZWSn2BmbnUSGy4xO2zG/htfonDgzhjXNr1NdDH4PSs8ctEfWe7IlUzR4LsaALjqDmuoS8LpBo1MX6Rpt7fKyP9YmMLDv+Vi2HjGtZ0+hcPA8TB4t6ZEqHO6rUxcyK34w2MCRqh6vLVWvl6dKrRpuS1L/FEJEHQlqxDHLiLOQEWdh8sCmqe07oiKfjapT/0XmOxeqN7CDdAZq7d3YNuIBMrPXkLjxefDVUJ19DkW9LuLJ77386Zwo+xXx1sLe9WqSxOLN6tb1/lNh4n0Q/wty7AQCUFOkLrI22sASF/K0j3Z6Kep+MyN6TSN183PgcVPZ4yyKup7NDe+XsPDqCO1+qiyAlf+ADa+pW/oTs+Gsf0J8D3h7DuxZ03Bu78lw7iPgzIhMX4UQx022dIuYt6e8ljkvfMtDkxJIK1+Hq+hraly9KMs8g3JDCte99iPxViMXDbJi1WlYtsvHim2lLPnNeAZnxkW6+8em4Dt4diIElcbH47rCVR+pJS2OVdVeWPcirHkK6iqg23iY9FdI7geGxlOOG3ZXMPWJVWTGWzh/gBO7AT7f7WXVjnKuGNOVP54zAFN7F2l0F6kZr/dtaHx80l9h49tNR/AABpwHUx+HEJmOhRDtr6X37yj7GirEsUtxmJg8KI1zXtxGr5RudE/sT+leL98vzWfaUD+vXTuG+z/YzF8/KyIYhN4pdl65Zgy9om0Ld105fPKnpgENqBmf93x37EFNdTG8eZW6/uigvC/g2dPg6qWQObzR6ZkJVi4dlcVra3bz2KqG7dsZLjNzT8lu/4AGoGxH04AGILFX6IAG4Kf34PR7JKgRIspIUCNinlGvY+a47kzN1qHUlqNodHxbpOfErnFce3JP0lwWHr30RMprvPiVIE6zgSRHFC5n9dbC7tVhm4PbPkYz8Lxje86ynY0DmoOUAMH/3YnmV4vAmnDocILNyG2T+nLekC48vyoXd72fc05IJ6dfChlxkVlMo+Starojy2BRg8BwgkHwuNuyW0KINiBBjYh93lri960l/v3fQnkuAH0yhqFMfRztgeDFYTZEZ32lwwQ1WjS2ZHDvC9muODMb7wJzF6mjGDs/B3sy9MxRa3cZGoIPZdsnYbdoa/asUW/8hwU1oNZrSrSbGNo1joCiYDNF9rr6bWk0KWzhq2vS70Y0WvwGu3xAChFl5HdWxL7SbfDStMbTMoXr0C48E+Z+DvHdI9WzVlWuiUc/9FqcX/y5aaNGQ3XfCziU87mqEF7/FRR+f9g5Wpi+AHpPAqOaSFExx4fPO6M3E0Abers8YDboIGxr+6lOG02CzgABX+OG4i0EM0epwdkRvP3Op1IbT3I79VEI0Toko7CIbR43LP9b6HUm9ZWw+T11qiEGeAJBNiVNwdvzjMYN9jR8s5djqMiFT/8M614gWLkHTI7G5wUVdf3MYSM9NV0nhn29ugEXU6XtoKUxDrOlxsb+sxeArvGIkbJtGZ6pTxHodnLDQY0GX9+pbBp0O8X18p1PiGgjv7Uitnmq1R1B4eSuhFHXNtnFE42sJh1PrHVzbu+7GD/iNqyFqwlaE3Fkj8H4+gwM5XmHztXojDDt3+roxeFrZoIKyvalaBPnAvBdmZETT/sH8Z/d0fjFknqze9B1WBU9HT2jS2ZyPHetTuS2i1YQV/IthroSatNGYUjqwXnPbWP2iPs4fawWvb8aj97B+zv8vPjWbt6/oXukuy6EOEYS1IjYptGo+UZqSkI2K/E90Oqiey3NQS6LkTsm92Pav1dh0uvomTyC6YPiuHzpH+GwgAaAgBfeuxEueKbJQuCgu+jQf6cmJ/Hoz0O4+tIVxOe+j6m2mPKuZ7BD15PF6+r5y7SOf+3SXCaunNCHc19YS4arOzZTL3atquG6U72cOySDvyzbyV8OnV0JwF+nDSLFGYWLxYXo5CSoEbFLCaDs+xHtsJnw4S1N2zUaKvpfhhNNzPwi9E5zsGjuWO55dxObCqv450QXhi8+CX2yr1ZNRmhPUbduH1CbeRIHJ6YyXBZqNRZOe6GAkd0nYTXp+GlpFdWeQpb8ZnxULK426nSM7B7P0ltOYXNhFfvdHk7IdJEeZ0ED9El18PCnP7OnvI5eKXZ+N6UvI7snYNDJ7LwQ0SZWPsuFaMq9F+2Sa2H8zTDiavhuQcP6GZ0R/zmP8n6+kUuyguhj5P5lMegY2T2Bl2aPotrjJ8OX3/yaoboKtWTAAYGUwZSaux0KauJtRu6Y0o/JA9N4+vOd7CmrY+rQDH41qiuZ8R20KnsIRr2OrHgrWSH6fOHwTE7qnYRfCWLUaaNzO78QApCgRsSy2lKoLYOld8OoOfCrN9SdUHozONJx65OxKU5Mhsjv0GltB7dVU+UCRzq494Y+MXUQVBWAwULdwEvJ7XctBkvjPT9JdhOn909lZPcEfAEFp0WPQRdb1yylgxZjFUIcGwlqRMxqtN14zX9g7bPgyADFB9XF+C76kHHZSZHsYpur1CXCyffh+vDaJm3e7Mn44nqzY9qneINaXttYS/JOuC4n9A3eaen4U01CiM5NghoRs+r0cdhdmVC5Rz0QDKqjEgBmF46ULCwRynLbXkprfbxV2IOrzn2RpK/+DKXbweyieug1bO4ynbxdGlZuDRBQ/Fw9oRe9Uxy4JHgRQkQpCWpEzCpU4nCd8QSp71ykVmY+SKPFfdYT7PbYGXA8T1xbCnWV6s4qS3zYitUdxROrS/hfchy/HfMs3V06anzw7PoaPluZyyMXD+Xv0wej12oPJMsTQojoJUGNiFlWo4671hq5+6JPSdz+BvaSH6iL78P+vpfxz7X13HzmMa6j8PugZDN8cHND7psB02DifRDfTQ1yOhiXxcCAdCeb91Zx4/vVjdq0GhiSGYc9wmUMhBCitUhQI6JfTSnU7gdvjVrPx54CBispDhNje6eTs2Azp/Q+h17x57G7IsCyF/cya1wPkuzHuMulIheeO0Md9YnvARPvUbMSf/ssdBkBXYarVbCPN7ipLYWAH8yuVksGmGg38eCFg5nx1Go8/sZZlW+b1Fd2+gghYooENSK6leXCW7MbRk50Bhg5BybcjNGewgUndiHFYeKhj7ey/Oda0pxm7ps6kMkD07CZjuHt76uDVY+pAY0jHc6eD+/8BqobEtVhiYeZH0DaoGP7O1QXq5mNv3pMrRzd8zQYd4Nak0p3DH0MBtUSB0FFDYqsiQD0T3Pyv5tO4oWv8vgmt4x0l4Vfn9KTPqkO7MdyDYQQooPTBIMxUvimBaqqqnC5XFRWVuJ0OiPdHfFLuffCgrOgbGfTtlN/DyfdeqjeT7G7Hp9fQa/TkuIwoTnW0RR3ESyYor7WpL/CD69B0aam57myYPZStdr10dSWQc1++Owv8NN7jdsMVrhmGaS2cNVPdTFsWgKrHlEDm/ShMOkv6p8mOwBef4Bqjx+zXodVghkhRBRp6f07RlKOiU6pLC90QAOw+vFGhRlTHGa6xFtJdZqPPaAB0JvAdmD7d0LP0AENQOXusCUZGqkphS/+Cfu3Ng1oQM32+/Fd6oLko6ktV8/96A61+nZQgcJ1sPBsyPvi0GlGvY4Em0kCGiFEzJKgRkSv0m3h2zxuNTA4FsEgVOTDxrdh6T3qnxUHMvJa4giMu1k9L+Br/nm81c23A5RsgT1rm9RdamTnZ+BpQVBTvQ9+XBy67b+3Q1WYxHtCCBFj5CubiFqBuO6E3YRssBLUq7V9WqxoE7xwjrqu5SBzHMz6kGDqQHaYB9BlyNXYdHp15ObwbeIHabTgSGv+dXz18PWTEAyAtpmdR1odtORvsHd9+LbK3eCpAlowHSaEEFFORmpE1Kq1d1MrcIdQN2Qm5bqElj+Zex8surxxQANQXwGLLsdbUcj1S3axwPgrqlx9CY65PuTTeE+8Co8psfnXUvxQXw57f4BuY8OeFuh3Hoo5/qhdV4xHWR/WXOAkhBAxRIIaEbVW7NOz59zXITG74aBGg6f/dL7PuoKy+mNYA1+zH8pzQ7eV56KvLyMQhPlfFPN1mYPlCTOoOv3v6vZxAGsClSfdzcr0q9lXf5QBUKMNf7+p6jTWzpUwqmkJA+wpFA67lRLP0RPi+ZIGqCNHIQR6nEKtwXXU5xBCiFggQY2IWi6zkYve3M9HI55nz8VL2XvBEnIvWcmTtuu45s3dmPTHkCE31FTSYbQBD9OHZ6qnKkGuXryT2RsHs/LUN9k4fSWrJr7L9bnjmfPWLordzT+XTwlSnJ6jbg3/+t9qXprpC2DAedDjZAKT7mfrue9w2dsleAPNBGbVxVCyBcXvxTvtuQPTVYdxpLFn3P0UeSUXjRCic5A1NSJq9UqxU+sLcN27aj0nvVaDX1HrPF08IpMku7HFz+UzJ2DQGUIvAtYZ8ZsTOW9oGq+tycegU9e5rN1VwcxdFU1Otxyl3IDHH+D+L938btrbZGx4HP2qR9XRmwm3U919En/+0s3b7+WRlWDBpA/xvSPgh6IfYcmvoWQLFoChl+G/ZgW+LZ+gr8ilIn08BY4TuP7tYl68ukeLr4MQQkQzCWoEeKrVbcjFP6nf9pP7HcjK27GLPaa7zLw8ezRXPr+GshovfkUd1RjTM4Gbz+iDxdjyt3dx0IlrxDzs3zzSpK16xDwqg066xFl4/dox5JfV0jvFzrbipruc0l3mo2Yqtuh1dE+0ccaCXN6Y/SeCfeYRUIIs3VnPS5/spNrjB+COyf1IcYbILFy5W83Pc/jurvWvoP/hdSqu+pL7vqxn06oqdu7fxcAMJ3HWGF1TU1MKAY/6PrUcfe2RECL2SVDT2dWVw7cLYflfQAmox3QGOPthta6R2RHJ3jVLo9EwMMPJBzdMIL+0luJqD72SbaQ6zSQeYwmE/fU6vnFcQM7pmcSv+aea2M+RTvmoW1iuGU3Pei1dgIw4C2lOM4//6kR+9Z9vKK3xHnoOh0nPf64cQZqr+RIHOp2WGSOyeG5VLr9ZvJm/nT+YRz79mXX5FQA4zXrumNKPk3onNX2wElAT/4Xarh4M4Prir2TYbub9/TVYDDoevPAEEmwxNv1UW6ZmkF7+N3UdVFJfOP1uSDsBzJJUU4jOTDIKd3a5n8ML54Zuu3YlZAxt1+5Eyu6yWib+ayUD0h1cP9JBslVDSW2Qx9e62bzXzae3nEJWgrXRYwor6tiwp4If91TRN83OsG7xZLgsaLVH34btDyhsKqzilsXrqaj1ceXYbpyQGYfToifFYSbdZUavCzH15K2B1y5R/91CcXbh81MXs2qfjktHdSUz3hL6eaKVrw7WPg+f/KFp27SnYPCMYystIYSICi29f0tQ05nVV6nbmHNXhm4/4WKY+ljYnTWxxOML8OLqXdz/35+atN11Vn+uHNsN01HWyhyPEreHilovgWCQeKuR1FDTTYcL+FA+vBXtuhdCt2eNpn7Ga+hs8RhiKZg5qHwXPDEy9MJuswuu+0otKiqEiCktvX/LV5rOzF+vrs8IpzxPPacTBDUmg47pwzPplmhl/idb2VlSQ89kG7dN6svI7gltEtAAJDtMJB9LpWydAc+wa7B8/6Ka6fgINWNvw2yLRxeLAQ2o04LhdqrVV6prwySoEaLTkqCmMzPZUboMRxumfpKSNQatwdbOnYqceJuRSQPTGNY1Hl9AwaDXHnXRb3ur9/lZvE3LuZP/TcKnN6tBJ4BWR9WY21lals7Jtb5jC5Siie4oi54l0aAQnZoENZ2YX2umdsQNODe93bBI+CCDhZpBl+HohOsTkjp4QLA8t5ZVmm7cfOGnxNflQ8BHjTObhT/U8MUP+zl5SJ9Id7HN+CzJGCzxTTM/A8R1Vbfmt3+3hBAdRIyOUYuWqKjz8a/v/BSfvxjiD8tlktyPfRe8zUPf1OGuP0rxRtGuzAY9l43pxidbKzjzhXwmva/nzI+snL4gn5fWlXLRiCwSbC3PzxNtCgPxlJz5TNMRG4OFokn/Zp8i2ZOF6Mw639dwcYhOo2HtnlouyzNw27gXyHZ4AS0by3X86/1yeiTr0Wsl7u1ohmS6GN0jgW9yy6iq8x863j3RyrQTu6Brwe6raFVU7eXptTb+dPFnJO5cgr1sM1VJJ1La/Rx+t6ycP57rI+sYSn4JIWKLBDWdWLzNyFXje3DbGz8w952mieT+ct5ALMa2WSArjl+K08z/XXoia3PLWPhVHn4lyIXDunB6/1Qy4jp2wsRfKsFmYtm2CpZvr2Bs9mS6OM9mV66PNct3oQGcZpl8EqIzk6Cmkzu5dxLjsxNZtaO00fFzT0hnYIYM5XdUqU4z5wzJ4OQ+ySjBIHHW2J1yOlyi3ciEXol8ub2UVduPeM8OyehwC7uFEO1L8tQIStz1/FxUzRvf7kan1XDJqK70SLLJDUJ0SHsr67j7nY18+lMxAFoNnHNCBned3f/oeX6EEFFJku+FIEFN8w6+FTSa2F2TIWJDVZ2P0moP1R4/DrOBJIcRu0mmnoSIVZJ8TxyzThfMKAq4C9UEhHWVkJgNtiQpjhgFnBYDTosEMUKIxiSoEZ2TEoDCdfDqRWqBxIMGXwST/gqO1Mj1rbVUl6iFL7V6ter60RLXCSFElJOgRnROlXvgxfPUApGH+3ExJPeB8beALkp3fnncasD2v99D0SYwOWDEbBj9a3CmR7p3QgjRZiQJieicdn/TNKA5aPUTUL2vffvTmnavgRemqgENqEHOqkfgrauhujiiXRNCiLYkQY3onEq3h2+rK4dAlGZSdhfBR3eEbtv1FVQ0U8BUCCGinAQ1olMKZAwL3xjXFQxRujXYV9N8wJb/Vfv1RQgh2pmsqRGto2ov1JSoUzqOVLClgMke6V6FVRvfH4ezC1QVNGmrHHsn6BOIytSDWr26IDjcSJMtqX37I4QQ7UhGasQvEwzCvo3w3Bnw9EmwYAo8NhyW/VndfdNBvbE1wK6pi1EyxzQcNLuozHmAt6r6UXlYTaWoYksiOGh66DatHrqObd/+CCFEO4qKoCYvL4/Zs2fTo0cPLBYL2dnZ3HPPPXi93kh3TVTuhoVnq38eFFRgzdOwYbGaCybSPNVQthP2fAtFm6G6GIfFwLRXC1nY7W9sv3gFO6d/zHdnfcBN24fy95XFUVsUMqi3UDX2DpTEvo0btDoqznmOcp1UexRCxK6omH7asmULiqLw9NNP06tXLzZu3MicOXOoqalh/vz5ke5e51awDuorQrd9+U8YdD44M9q1S41UF8OKB2HdQjU3DUBKf6ZNf5FHTXr+vOzwXU5qLaFfjepKoi06aykVVXm44rXd/OmU5+jFHux7V+GzplORcTLzv3ZzhcvH2PZOpn0wyWH5LqgphqS+YE8FW2I7d0QIEeuiIqiZMmUKU6ZMOfT/PXv2ZOvWrTz55JPNBjUejwePx3Po/6uqqtq0n51S8ZbwbbWl4PeEb29rAR+sfRa+fa7x8eKfMLw8jSWXf8ioxzdzeKGQ3ql2rj+tF2ZDdOaoqfcF2FZUzRWLq0m2m8hOORt3vZ9NH+cDMKR7BWOz2zGYUBTY9wO8fEHjJIe9JsLUxyVvjhCiVUVFUBNKZWUlCQnND6U/8MAD3Hfffe3Uow5CUcC9V80kqzOBPRkMljZ7uWD6YMJO1DjSQB/BopjufWrOmVCqCkj07mbFbafw8aYiiqo8nNInmb5pjqguimjQa7AaddR6A5RUeyipbhxUdk2wtm+HqgrgxWlNR/O2fwpfPgKT7gN99F5vIUTHEhVrao60fft2HnvsMebOndvseb///e+prKw89LN7d4zn6KgthXUvwjOnwOMj4IkRalbZqsI2e0lv8mCwJYdsqxt3OwFrBMsN+GrBWx22Wbt/O90S7Vx7cjZ3nzOAk/skR3VAA5BsN3H56K4h22xGHYMz23lPV9Gm8NOT6xZKMkAhRKuKaFBz5513otFomv3ZsqXx9EZBQQFTpkxhxowZzJkzp9nnN5lMOJ3ORj8xKxCAjW/DB79Vt1aDOvXz3QJ4+1qo2d8mL/tlsYk9570JKf0bDurNuMfeztLgKIprIriY22BVSwSEk9S7/frSTox6HbNP6klOv5RGx10WAy9fM5p0V9uN2oVUkR++zV8f2elJIUTMiej006233sqsWbOaPadnz56H/ruwsJCcnBzGjRvHM88808a9izLVe2H5/aHb8r5Qp6TaIEfJj3squWttKXec9BTDkwJoAx7cWgfPrq/l7eW7+bxfdqu/Zos50giMug7dF/9o2ubKxB/fI3rnX5uR6jTzzxlDKHF72F7sJsFmpGuijTSnuf13daUPDt9mS1YDTyGEaCUR/UxPTk4mOTn01MWRCgoKyMnJYfjw4SxYsACtNipnztqOx62m9w+n+CdIa+YGc5wGZ7p4ZNk2bvnw8CR2aj/SXWZMESwKub9WYWfKBQweuh/Lhhcadj+lDiR/4lMo/ni6R6x3bSvBZiTBZqRvWjMjVe0hvgck94WSrU2alJy70DpkobAQovVExRfVgoICTj31VLp168b8+fMpKWlI6paWlhbBnnUgejNotGqOmBAUW2qbzDUOSHeS5jSzr6q+Sdttk/qS6mrhGhW/R11fEfCq395bYVdMVb2PS17dydUjL+Xii67C6q8koLOwrlTP3xYXc8ukOLon2X7x64jwiomjbsqLdPnqT+h3fqImazTHUTnmNvYl5NALDdG5z0wI0RFFRVCzdOlStm/fzvbt28nMzGzUFjx8P24nVmuIx9jnbPRb32/aaInHF9eDttiHlB5n4bVrR3PT6+v5YU8loC5IvfmMPk3WdYRVtRdWPQrrXlAX97oy4fR71W2/1vjj7ptWo0EJwrNrSnh2zaEXO9Ru1svttK3l7a/h6hd3MXvkHZw14y50ioeKgJknvq3mhy+28eENqaTHtfM6HyFEzNIEO1FUUFVVhcvlorKyMuYWDeeWVOMt203vZdegLd7Y0GB2se+818k19mJsdguDjONQVuOlrMaDx6/gshhIdZowtGTqqWY/vDkbclc0bTvv3zDkUjjOqcaKWi9zX/qOb3LLmrRpNbD8tlPpligjNW3pha/yuOe9TWHbl916CtnJHbdGmBCiY2jp/TsqRmrE0fmVIDNez+ehKf9mkLUCU+lm/PYuFJl78IelZcw9pW1rGR1cw3HMqgpDBzQAn94DPXPAdXwZieOsRv56/iCmP7mayrrGBR7/ct4gku0RzKETq4JBNT+Q4ge9kX5p4QMWs0GLSS9r44QQrUeCmhjhtBiIsxiZu2QPdpOedNcAKmp9lFSrW2oHZ3TQkamijeHbakrA6/5FT98r2c4HN0zgk837+Pzn/WTEWbhiTFeyEqxYTfL2b1XVJbD5HfhivhrYJPZixOn38qfTu/DnZXubnH7Z6G6kOKI7L5AQomORT/UYkeo0c//5g5j5/BqqPX62FTcknbt6fHcSHR10VCJM4j5AXfis+2U1mDQaDVkJVq4e34PLRndFr9Wi18noQKurr4KVD6plKQ4q3Y5u8eVcefYjrB80iPc2NiTaO2NAKtee3BOjjNQIIVqRBDUxZES3eN6dN4F/Ld3KD3sqSXWauD6nF2N6JuI0GyLdvZB8CX0wmBzqlvQjBPqcDZakVtkdo9FoMBvk7d5makqa1tg6QL/sXubP+ZyZJ2VTVuOje6KVJLuJ+CgtGiqE6LjkUz6GWIx6Bme6+L9LT6TG48eo05LQwdeN7PQ4iZ/6CinvXKLufDpASepH3oi7sHj0ZMjmmI6vbCeE23NQX4HRW8nwbt3at09CiE5HgpoY5DAbcHTQkZkjbdhbzeJvNNx7/ickV23CUF1AXfIQtvpSuPm13bwxN/PoTyIir7lyFBDZwqZCiE5DghoRUZlxFtbmuzn7RTeZ8SnEWbuwe1UdlXW7Meq0mA2SSyYaBBxd0FniQ2e1zjiRoDUxfDV3IYRoJbJKT0RUt0Tboa3Ve8rr2FhQdWj79fThXUiyy7qLaFBMPMXnLATDEXOFtmT2nvYoJQHJBySEaHsS1IiIyoiz8PI1o0g/opzCqX2SufH0PliMMpgYDbaX1HHD5zq2Tf+U0px/UDdsDsVTnmbDWe9w6ZIySmt8R38SIYT4heSOISKub5qTJb8Zz97KOspqvGQlWEmW3TFRxaDT8s2uKs5YUEX/9P4k2Yeye2steaW7ALVkhRBCtDUJakSHkOYyk9bS4peiw8lMsGAx6KjzBfhprxto2KLfM8lGvC06Fq4LIaKbTD8JIX6xFIeJhy8ewpEDMmaDlocvHiqZg4UQ7UJGaoQQv5hRr+PkPsl8/NuTeeWbXWwvqWZ4twQuHNaFLlKFWwjRTiSoEUK0CqtRT580B3efMwBvQMGk16HTyloaIUT7kaBGCNGq9DqpryWEiAz55BFCCCFETJCgRgghhBAxQYIaIYQQQsQECWqEEEIIERMkqBFCCCFETJCgRgghhBAxQYIaIYQQQsQECWqEEEIIERMkqBFCCCFETJCgRgghhBAxoVOVSQgGgwBUVVVFuCdCCCGEaKmD9+2D9/FwOlVQU1paCkBWVlaEeyKEEEKIY+V2u3G5XGHbO1VQk5CQAEB+fn6zF0W0XFVVFVlZWezevRun0xnp7sQMua5tQ65r65Nr2jbkujYWDAZxu91kZGQ0e16nCmq0WnUJkcvlkjdJK3M6nXJN24Bc17Yh17X1yTVtG3JdG7RkMEIWCgshhBAiJkhQI4QQQoiY0KmCGpPJxD333IPJZIp0V2KGXNO2Ide1bch1bX1yTduGXNfjowkebX+UEEIIIUQU6FQjNUIIIYSIXRLUCCGEECImSFAjhBBCiJggQY0QQgghYkKnDWqmTp1K165dMZvNpKenc8UVV1BYWBjpbkW1vLw8Zs+eTY8ePbBYLGRnZ3PPPffg9Xoj3bWodv/99zNu3DisVitxcXGR7k7UeuKJJ+jevTtms5nRo0ezZs2aSHcpqn3++eece+65ZGRkoNFoeOeddyLdpaj3wAMPMHLkSBwOBykpKUybNo2tW7dGultRpdMGNTk5OSxevJitW7fy1ltvsWPHDqZPnx7pbkW1LVu2oCgKTz/9NJs2beLhhx/mqaee4g9/+EOkuxbVvF4vM2bM4Lrrrot0V6LWokWLuOWWW7jnnntYt24dQ4YMYfLkyRQXF0e6a1GrpqaGIUOG8MQTT0S6KzFj5cqVzJs3j6+//pqlS5fi8/mYNGkSNTU1ke5a1JAt3Qe89957TJs2DY/Hg8FgiHR3YsZDDz3Ek08+yc6dOyPdlai3cOFCbrrpJioqKiLdlagzevRoRo4cyeOPPw6AoihkZWVxww03cOedd0a4d9FPo9GwZMkSpk2bFumuxJSSkhJSUlJYuXIlJ598cqS7ExU67UjN4crKynjllVcYN26cBDStrLKy8lAhUSEiwev18t133zFx4sRDx7RaLRMnTmT16tUR7JkQzausrASQz9Bj0KmDmt/97nfYbDYSExPJz8/n3XffjXSXYsr27dt57LHHmDt3bqS7Ijqx/fv3EwgESE1NbXQ8NTWVffv2RahXQjRPURRuuukmxo8fz6BBgyLdnagRU0HNnXfeiUajafZny5Yth86//fbb+f777/nkk0/Q6XRceeWVyGxcU8d6XQEKCgqYMmUKM2bMYM6cORHqecd1PNdUCNF5zJs3j40bN/L6669HuitRRR/pDrSmW2+9lVmzZjV7Ts+ePQ/9d1JSEklJSfTp04f+/fuTlZXF119/zdixY9u4p9HlWK9rYWEhOTk5jBs3jmeeeaaNexedjvWaiuOXlJSETqejqKio0fGioiLS0tIi1Cshwrv++uv54IMP+Pzzz8nMzIx0d6JKTAU1ycnJJCcnH9djFUUBwOPxtGaXYsKxXNeCggJycnIYPnw4CxYsQKuNqcHAVvNL3qvi2BiNRoYPH86yZcsOLWRVFIVly5Zx/fXXR7ZzQhwmGAxyww03sGTJElasWEGPHj0i3aWoE1NBTUt98803rF27lgkTJhAfH8+OHTu4++67yc7OllGaX6CgoIBTTz2Vbt26MX/+fEpKSg61yTfi45efn09ZWRn5+fkEAgHWr18PQK9evbDb7ZHtXJS45ZZbmDlzJiNGjGDUqFE88sgj1NTUcNVVV0W6a1Grurqa7du3H/r/3Nxc1q9fT0JCAl27do1gz6LXvHnzePXVV3n33XdxOByH1ny5XC4sFkuEexclgp3Qhg0bgjk5OcGEhISgyWQKdu/ePfjrX/86uGfPnkh3LaotWLAgCIT8Ecdv5syZIa/p8uXLI921qPLYY48Fu3btGjQajcFRo0YFv/7660h3KaotX7485Pty5syZke5a1Ar3+blgwYJIdy1qSJ4aIYQQQsQEWfAghBBCiJggQY0QQgghYoIENUIIIYSICRLUCCGEECImSFAjhBBCiJggQY0QQgghYoIENUIIIYSICRLUCCGEECImSFAjhBBCiJggQY0QIqasWLGCYcOGYTKZ6NWrFwsXLox0l4QQ7USCGiFEzMjNzeXss88mJyeH9evXc9NNN3HNNdfw8ccfR7prQoh2ILWfhBBRo6SkhMGDB3PjjTfyhz/8AYCvvvqKU089lY8++ohPPvmEDz/8kI0bNx56zCWXXEJFRQX/+9//ItVtIUQ7kZEaIUTUSE5O5vnnn+fee+/l22+/xe12c8UVV3D99ddz+umns3r1aiZOnNjoMZMnT2b16tUR6rEQoj3pI90BIYQ4FmeddRZz5szhsssuY8SIEdhsNh544AEA9u3bR2pqaqPzU1NTqaqqoq6uDovFEokuCyHaiYzUCCGizvz58/H7/bzxxhu88sormEymSHdJCNEBSFAjhIg6O3bsoLCwEEVRyMvLO3Q8LS2NoqKiRucWFRXhdDpllEaITkCmn4QQUcXr9XL55Zdz8cUX07dvX6655hp+/PFHUlJSGDt2LP/9738bnb906VLGjh0bod4KIdqT7H4SQkSV22+/nTfffJMffvgBu93OKaecgsvl4oMPPiA3N5dBgwYxb948rr76aj777DNuvPFGPvzwQyZPnhzprgsh2pgENUKIqLFixQrOOOMMli9fzoQJEwDIy8tjyJAhPPjgg1x33XWsWLGCm2++mc2bN5OZmcndd9/NrFmzIttxIUS7kKBGCCGEEDFBFgoLIYQQIiZIUCOEEEKImCBBjRBCCCFiggQ1QgghhIgJEtQIIYQQIiZIUCOEEEKImCBBjRBCCCFiggQ1QgghhIgJEtQIIYQQIiZIUCOEEEKImCBBjRBCCCFiwv8DLBMaBfdY97wAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "## plot SVR results\n", + "warnings.filterwarnings(\"ignore\", \"is_categorical_dtype\")\n", + "\n", + "n_sample = 200\n", + "X_sample, y_sample = X[:n_sample], y[:n_sample]\n", + "svr_sample = pipe.predict(X_sample)\n", + "\n", + "df = pd.DataFrame({'x0': X_sample[:,0], 'real_y': y_sample, 'svr': svr_sample})\n", + "df = df.melt(id_vars='x0')\n", + "\n", + "sns.scatterplot(data=df, x='x0', y='value', hue='variable')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ioNCrEIpW6n4" + }, + "source": [ + "## Hyperparameter Tuning with GridSearchCV\n", + "\n", + "Due to its compatibility with the scikit-learn API, `GridSearchCV` can be applied to determine the optimal hyperparameters for the ReHLine model." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "GHXOhTMeW9zG", + "outputId": "b54d15c3-1cef-41e1-ee18-363fccf82626" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best params:{'reg__C': 1.0}\n", + "Best CV Score: 0.0009\n" + ] + } + ], + "source": [ + "from sklearn.model_selection import GridSearchCV\n", + "from sklearn.metrics import make_scorer, mean_squared_error\n", + "import warnings\n", + "warnings.filterwarnings(\"ignore\")\n", + "\n", + "# Define the parameter grid to search\n", + "param_grid = {'reg__C': [0.1, 1.0, 10.0]}\n", + "\n", + "# Use mse to evaluate the performances\n", + "mse_scorer = make_scorer(mean_squared_error, greater_is_better=False)\n", + "\n", + "# Create the GridSearchCV objects\n", + "grid_svr = GridSearchCV(pipe, param_grid, cv=5, scoring=mse_scorer)\n", + "\n", + "grid_svr.fit(X, y)\n", + "\n", + "# Print the best parameters and scores\n", + "print(f\"Best params:{grid_svr.best_params_}\")\n", + "print(f\"Best CV Score: {-grid_svr.best_score_:.4f}\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 455 + }, + "id": "pUUVwcTFXv-_", + "outputId": "687b8526-e77f-4309-e5c1-b0c41b56fc5f" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "## plot SVR results\n", + "n_sample = 200\n", + "X_sample, y_sample = X[:n_sample], y[:n_sample]\n", + "svr_sample = grid_svr.predict(X_sample)\n", + "\n", + "df = pd.DataFrame({'x0': X_sample[:, 0], 'real_y': y_sample, 'svr': svr_sample})\n", + "df = df.melt(id_vars='x0')\n", + "\n", + "sns.scatterplot(data=df, x='x0', y='value', hue='variable').set_title(\"SVR(C=1.0)\")\n", + "plt.show()" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "name": "python" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/doc/source/examples/Smooth_SVM_new.ipynb b/doc/source/examples/Smooth_SVM_new.ipynb index c5ba24c..bf79c87 100644 --- a/doc/source/examples/Smooth_SVM_new.ipynb +++ b/doc/source/examples/Smooth_SVM_new.ipynb @@ -10,7 +10,7 @@ "Smooth SVMs solve the following optimization problem:\n", "$$\n", " \\min_{\\mathbf{\\beta} \\in \\mathbb{R}^d} \\\n", - " \\frac{C}{n} \\sum_{i=1}^n V(y_i \\mathbf{\\beta}^\\intercal \\mathbf{x}_i) + \\frac{1}{2} \\| \\mathbf{\\beta} \\|_2^2\n", + " C \\sum_{i=1}^n V(y_i \\mathbf{\\beta}^\\intercal \\mathbf{x}_i) + \\frac{1}{2} \\| \\mathbf{\\beta} \\|_2^2\n", "$$\n", "where $\\mathbf{x}_i \\in \\mathbb{R}^d$ is a feature vector, $y_i \\in \\{-1, 1\\}$ is a binary label, and $V(·)$ is the smoothed hinge loss (shown here with a default smoothing parameter τ=1):\n", "$$\n", @@ -28,8 +28,8 @@ "id": "lO5s9H4tbAP4" }, "source": [ - "> **Note.** Since the smooth hinge loss is a plq function, we can optimize it using `rehline.plq_Ridge_Classifier`. \\\n", - "Moreover, this wrapper adapts the `plqERM_Ridge` into a classifier, compatible with the scikit-learn API." + "> **Note.** Since the smooth hinge loss is a plq function, we can optimize it using `rehline.plq_Ridge_Classifier`. \n", + "> Moreover, this wrapper adapts the `plqERM_Ridge` into a classifier, compatible with the scikit-learn API." ] }, { @@ -93,11 +93,7 @@ }, "outputs": [ { - "output_type": "execute_result", "data": { - "text/plain": [ - "plq_Ridge_Classifier(loss={'name': 'sSVM'})" - ], "text/html": [ "
plq_Ridge_Classifier(loss={'name': 'sSVM'})
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
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" + ], + "text/plain": [ + "plq_Ridge_Classifier(loss={'name': 'sSVM'})" ] }, + "execution_count": 4, "metadata": {}, - "execution_count": 4 + "output_type": "execute_result" } ], "source": [ @@ -542,14 +542,14 @@ }, "outputs": [ { - "output_type": "display_data", "data": { + "image/png": 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", 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\n" + ] }, - "metadata": {} + "metadata": {}, + "output_type": "display_data" } ], "source": [ @@ -607,12 +607,7 @@ }, "outputs": [ { - "output_type": "execute_result", "data": { - "text/plain": [ - "Pipeline(steps=[('scaler', StandardScaler()),\n", - " ('clf', plq_Ridge_Classifier(loss={'name': 'sSVM'}))])" - ], "text/html": [ "
Pipeline(steps=[('scaler', StandardScaler()),\n",
               "                ('clf', plq_Ridge_Classifier(loss={'name': 'sSVM'}))])
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
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" + ], + "text/plain": [ + "Pipeline(steps=[('scaler', StandardScaler()),\n", + " ('clf', plq_Ridge_Classifier(loss={'name': 'sSVM'}))])" ] }, + "execution_count": 7, "metadata": {}, - "execution_count": 7 + "output_type": "execute_result" } ], "source": [ @@ -1062,14 +1062,14 @@ }, "outputs": [ { - "output_type": "display_data", "data": { + "image/png": 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CGrWPSZMmadKkSa4p6CoQdgAAaIZiYmJ04MAB1sa6AoQdAACaqZiYmGYbQNyJeXYAAICpEXYAAICpEXYAAICpEXYAAICpEXYAAICpEXYAAICpEXYAAICpMc8OgKsyNDFRNpvNafvx/6x5A6DpFRQUMKngFSDsALgqNptNO7dsdtreIS7ejdUA166CggLFxcXpwoULbjleYGCgDh48eFWBZ/v27XrppZeUn5+v48eP64MPPtCoUaOarkgnCDsA4IUGD7pNJSXFTtsLC7mDdq07ceKELly4oInjpyoqsn2THqu4pEhvvfs7nThx4qrCzrlz59SrVy899NBDGj16dBNWWDfCDgB4oZKSYs1Mfdpp+8w509xYDbxZVGR7xVwf6+kyajVixAiNGDHC02UwQBkAAJgbYQcAAJgaYQcAAJgaYQcAAJia14SdF198URaLRU8++aRj28WLF5Wamqq2bduqZcuWGjNmjEpKSqr9rqCgQCkpKQoKClJERIRmz56tS5cuubl6AADgrbzibawvv/xSr7/+unr27Flt+8yZM7VhwwatWbNGISEhmj59ukaPHq0dO3ZIkux2u1JSUhQVFaXc3FwdP35cP/3pT+Xr66sXXnjBE6cCAAD+4+zZszp8+LDj+5EjR7Rr1y61adPGrRMUejzsnD17VuPHj9fvfvc7Pf/8847tp0+f1htvvKGsrCwNHTpUkrRy5Up17dpVn3/+uQYOHKiPPvpI+/fv15YtWxQZGanevXvrueee05w5c5Seni4/Pz9PnRYA1Il5dOAqxSVN/2elocf46quvlJiY6Pg+a9YsSdLEiRO1atUqV5R2RTwedlJTU5WSkqKkpKRqYSc/P1+VlZVKSkpybIuLi1NMTIzy8vI0cOBA5eXlqUePHoqMjHT0SU5O1rRp07Rv3z716dOn1mOWl5ervLzc8b2srKwJzgwAnGMeHTRWWFiYAgMD9da7v3PL8QIDAxUWFnZVvxkyZIgMw2iiiq6cR8PO6tWr9fXXX+vLL7+s0VZcXCw/Pz+FhoZW2x4ZGani4mJHn/8OOpfbL7c5s3DhQj377LONrB4AAM+JiYnRwYMHWRvrCngs7Bw7dkxPPPGEsrOzFRAQ4NZjp6WlOW6lSd/d2YmOjnZrDYA3qm+RT4mFPgFvEhMT02wDiDt5LOzk5+ertLRUt9xyi2Ob3W7X9u3b9eqrr2rz5s2qqKjQqVOnqt3dKSkpUVRUlCQpKipKX3zxRbX9Xn5b63Kf2vj7+8vf39+FZwOYQ32LfEos9Amg+fHYq+fDhg3Tnj17tGvXLsenX79+Gj9+vOOffX19lZOT4/jNoUOHVFBQoISEBElSQkKC9uzZo9LSUkef7OxsBQcHKz6e/yADAAAP3tlp1aqVunfvXm1bixYt1LZtW8f2KVOmaNasWWrTpo2Cg4M1Y8YMJSQkaODAgZKk4cOHKz4+XhMmTNDixYtVXFysuXPnKjU1lTs3AABT8YaBvp7givP2+NtYdVmyZImsVqvGjBmj8vJyJScn67XXXnO0+/j4aP369Zo2bZoSEhLUokULTZw4UQsWLPBg1QAAuI6vr68k6fz58woMDPRwNe53/vx5Sf9/HRrCq8LOtm3bqn0PCAhQZmamMjMznf4mNjZWGzdubOLKAADwDB8fH4WGhjqGbAQFBclisXi4qqZnGIbOnz+v0tJShYaGysfHp8H78qqwAwAAarr80s1/j1G9VoSGhtb50tGVIOwAAODlLBaL2rVrp4iICFVWVnq6HLfx9fVt1B2dywg7AAA0Ez4+Pi75y/9a4zWrngMAADQF7uwAwDWosLBIXTp3qbNPZGSUPtvxqZsqApoOYQcArkF2u73OhUglaUnmC26qBmhaPMYCAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmxttYAJqVwsJC9ejevc4+4eHh2vrxx26qCIC3I+wAaFYMo0o7t2yus8+ApGQ3VQOgOeAxFgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDUmFQQAFxs86DaVlBTX2aewsMhN1QAg7ACAi5WUFGtm6tN19pk5Z5qbqgHAYywAAGBqhB0AAGBqhB0AAGBqhB0AAGBqhB0AAGBqhB0AAGBqvHoOAKhVYWGRunTu4rQ9MjJKn+341I0VAQ1D2AEA1Mput9c5X9CSzBfcWA3QcDzGAgAApsadHQCmU1hYqB7duzttDw8P19aPP3ZjRQA8ibADwHQMo0o7t2x22j4gKdmN1QDwNB5jAQAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAU7vO0wUAQHMzeNBtKikpdtpeWFjkxmoA1IewAwBXqaSkWDNTn3baPnPONDdWA6A+PMYCAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACm5tGws3z5cvXs2VPBwcEKDg5WQkKC/vrXvzraL168qNTUVLVt21YtW7bUmDFjVFJSUm0fBQUFSklJUVBQkCIiIjR79mxdunTJ3acCAAC8lEfDzvXXX68XX3xR+fn5+uqrrzR06FCNHDlS+/btkyTNnDlTf/nLX7RmzRp98sknKioq0ujRox2/t9vtSklJUUVFhXJzc/XWW29p1apVmjdvnqdOCQAAeJnrPHnwe+65p9r3X/3qV1q+fLk+//xzXX/99XrjjTeUlZWloUOHSpJWrlyprl276vPPP9fAgQP10Ucfaf/+/dqyZYsiIyPVu3dvPffcc5ozZ47S09Pl5+fnidMCAABexGvG7Njtdq1evVrnzp1TQkKC8vPzVVlZqaSkJEefuLg4xcTEKC8vT5KUl5enHj16KDIy0tEnOTlZZWVljrtDAADg2ubROzuStGfPHiUkJOjixYtq2bKlPvjgA8XHx2vXrl3y8/NTaGhotf6RkZEqLi6WJBUXF1cLOpfbL7c5U15ervLycsf3srIyF50NAADwNh6/s3PzzTdr165d2rlzp6ZNm6aJEydq//79TXrMhQsXKiQkxPGJjo5u0uMBAADP8XjY8fPzU+fOndW3b18tXLhQvXr10m9+8xtFRUWpoqJCp06dqta/pKREUVFRkqSoqKgab2dd/n65T23S0tJ0+vRpx+fYsWOuPSkAAOA1PB52vq+qqkrl5eXq27evfH19lZOT42g7dOiQCgoKlJCQIElKSEjQnj17VFpa6uiTnZ2t4OBgxcfHOz2Gv7+/43X3yx8AAGBOHh2zk5aWphEjRigmJkZnzpxRVlaWtm3bps2bNyskJERTpkzRrFmz1KZNGwUHB2vGjBlKSEjQwIEDJUnDhw9XfHy8JkyYoMWLF6u4uFhz585Vamqq/P39PXlqAADAS3g07JSWluqnP/2pjh8/rpCQEPXs2VObN2/WnXfeKUlasmSJrFarxowZo/LyciUnJ+u1115z/N7Hx0fr16/XtGnTlJCQoBYtWmjixIlasGCBp04JAAB4GY+GnTfeeKPO9oCAAGVmZiozM9Npn9jYWG3cuNHVpQEAAJPwujE7AAAAruTxeXYAAM1TYWGRunTu4rQ9MjJKn+341I0VAbUj7AAAGsRut2tm6tNO25dkvuDGagDneIwFAABMjTs7APA9gwfdppIS50vOFBYWubEaAI1F2AGA7ykpKa7z8czMOdPcWA2AxuIxFgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDWWiwCuIUMTE2Wz2Zy2Hy9izScA5kPYAa4hNptNO7dsdtreIS7ejdUAgHs06DHWDTfcoG+++abG9lOnTumGG25odFEAAACu0qCwc/ToUdnt9hrby8vLVVhY2OiiAAAAXOWqHmOtW7fO8c+bN29WSEiI47vdbldOTo46duzosuIAXB3G5ABATVcVdkaNGiVJslgsmjhxYrU2X19fdezYUb/+9a9dVhyAq8OYHACo6arCTlVVlSSpU6dO+vLLLxUWFtYkRQEAALhKg97GOnLkiKvrAAAAaBINfvU8JydHOTk5Ki0tddzxuezNN99sdGEAAACu0KCw8+yzz2rBggXq16+f2rVrJ4vF4uq6AAAAXKJBYWfFihVatWqVJkyY4Op6AAAAXKpB8+xUVFToBz/4gatrAQAAcLkGhZ2HH35YWVlZrq4FAADA5Rr0GOvixYv67W9/qy1btqhnz57y9fWt1v7KK6+4pDgAAIDGalDY+fvf/67evXtLkvbu3VutjcHKAADAmzQo7Hz88ceurgMAAKBJNGjMDgAAQHPRoDs7iYmJdT6u2rp1a4MLAgAAcKUGhZ3L43Uuq6ys1K5du7R3794aC4QCAAB4UoPCzpIlS2rdnp6errNnzzaqIAAAAFdy6Zidn/zkJ6yLBQAAvIpLw05eXp4CAgJcuUsAAIBGadBjrNGjR1f7bhiGjh8/rq+++kq//OUvXVIYAACAKzQo7ISEhFT7brVadfPNN2vBggUaPny4SwoDAABwhQaFnZUrV7q6DgAAgCbRoLBzWX5+vg4cOCBJ6tatm/r06eOSogAAAFylQWGntLRUY8eO1bZt2xQaGipJOnXqlBITE7V69WqFh4e7skYAAIAGa9DbWDNmzNCZM2e0b98+nTx5UidPntTevXtVVlamn/3sZ66uEQAAoMEadGdn06ZN2rJli7p27erYFh8fr8zMTAYoAwAAr9KgOztVVVXy9fWtsd3X11dVVVWNLgoAAMBVGhR2hg4dqieeeEJFRUWObYWFhZo5c6aGDRvmsuIAAAAaq0Fh59VXX1VZWZk6duyoG2+8UTfeeKM6deqksrIyZWRkuLpGAACABmvQmJ3o6Gh9/fXX2rJliw4ePChJ6tq1q5KSklxaHAAAQGNd1Z2drVu3Kj4+XmVlZbJYLLrzzjs1Y8YMzZgxQ/3791e3bt306aefNlWtAAAAV+2qws7SpUs1depUBQcH12gLCQnRo48+qldeecVlxQEAADTWVT3G2r17txYtWuS0ffjw4Xr55ZcbXRQAoPkrLCxSl85dnLZHRkbpsx08DUDTu6qwU1JSUusr546dXXedbDZbo4sCADR/drtdM1Ofdtq+JPMFN1aDa9lVPcbq0KGD9u7d67T973//u9q1a9foogAAAFzlqsLOXXfdpV/+8pe6ePFijbYLFy5o/vz5uvvuu11WHAAAQGNd1WOsuXPn6v3339dNN92k6dOn6+abb5YkHTx4UJmZmbLb7XrmmWeapFAAAICGuKqwExkZqdzcXE2bNk1paWkyDEOSZLFYlJycrMzMTEVGRjZJoQDgKoWFherRvbvTdput1I3VAGhqVz2pYGxsrDZu3Khvv/1Whw8flmEY6tKli1q3bt0U9QGAyxlGlXZu2ey0vf1NXZ22AWh+GjSDsiS1bt1a/fv3d2UtAAAALtegtbEAAACaC8IOAAAwNcIOAAAwNcIOAAAwNcIOAAAwNcIOAAAwNY+GnYULF6p///5q1aqVIiIiNGrUKB06dKhan4sXLyo1NVVt27ZVy5YtNWbMGJWUlFTrU1BQoJSUFAUFBSkiIkKzZ8/WpUuX3HkqAADAS3k07HzyySdKTU3V559/ruzsbFVWVmr48OE6d+6co8/MmTP1l7/8RWvWrNEnn3yioqIijR492tFut9uVkpKiiooK5ebm6q233tKqVas0b948T5wSAADwMg2eVNAVNm3aVO37qlWrFBERofz8fN1+++06ffq03njjDWVlZWno0KGSpJUrV6pr1676/PPPNXDgQH300Ufav3+/tmzZosjISPXu3VvPPfec5syZo/T0dPn5+Xni1AAAgJfwqjE7p0+fliS1adNGkpSfn6/KykolJSU5+sTFxSkmJkZ5eXmSpLy8PPXo0aPamlzJyckqKyvTvn37aj1OeXm5ysrKqn0AAIA5eU3Yqaqq0pNPPqlBgwap+38W6CsuLpafn59CQ0Or9Y2MjFRxcbGjz/cXH738/XKf71u4cKFCQkIcn+joaBefDQAA8BZeE3ZSU1O1d+9erV69usmPlZaWptOnTzs+x44da/JjAgAAz/DomJ3Lpk+frvXr12v79u26/vrrHdujoqJUUVGhU6dOVbu7U1JSoqioKEefL774otr+Lr+tdbnP9/n7+8vf39/FZwEAALyRR+/sGIah6dOn64MPPtDWrVvVqVOnau19+/aVr6+vcnJyHNsOHTqkgoICJSQkSJISEhK0Z88elZaWOvpkZ2crODhY8fHx7jkRAADgtTx6Zyc1NVVZWVlau3atWrVq5RhjExISosDAQIWEhGjKlCmaNWuW2rRpo+DgYM2YMUMJCQkaOHCgJGn48OGKj4/XhAkTtHjxYhUXF2vu3LlKTU3l7g0AAPBs2Fm+fLkkaciQIdW2r1y5UpMmTZIkLVmyRFarVWPGjFF5ebmSk5P12muvOfr6+Pho/fr1mjZtmhISEtSiRQtNnDhRCxYscNdpAAAAL+bRsGMYRr19AgIClJmZqczMTKd9YmNjtXHjRleWBgAATMJr3sYCAABoCoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgatd5ugAAcLdLl+zKyMhw3m63u7EaAE2NsAPgGmQoof9tdbQ7D0JwncLCInXp3MVpe2RklD7b8akbK4JZEXYAAB5ht9s1M/Vpp+1LMl9wYzUwM8bsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAU2MGZaAZGZqYKJvN5rT9eFGRG6sBgOaBsAM0IzabTTu3bHba3iEu3o3VAEDzwGMsAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgasyzA3gRJg30DkZVlRa9ku603Wq1uK8YAI1G2AG8CJMGeger1ap3Ml5z2n7X+AfcWA2AxuIxFgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMLXrPF0AALjapUt2ZWRkOO9gNG7/RlWVFr2S7rTdarU07gAAXIqwA8CEDCX0v62O9jqC0BWwWq16J+M1p+13jX+gUfsH4Fo8xgIAAKZG2AEAAKZG2AEAAKZG2AEAAKZG2AEAAKbm0bCzfft23XPPPWrfvr0sFos+/PDDau2GYWjevHlq166dAgMDlZSUpH/84x/V+pw8eVLjx49XcHCwQkNDNWXKFJ09e9aNZwEAALyZR8POuXPn1KtXL2VmZtbavnjxYi1btkwrVqzQzp071aJFCyUnJ+vixYuOPuPHj9e+ffuUnZ2t9evXa/v27XrkkUfcdQoAAMDLeXSenREjRmjEiBG1thmGoaVLl2ru3LkaOXKkJOntt99WZGSkPvzwQ40dO1YHDhzQpk2b9OWXX6pfv36SpIyMDN111116+eWX1b59e7edCwAA8E5eO6ngkSNHVFxcrKSkJMe2kJAQDRgwQHl5eRo7dqzy8vIUGhrqCDqSlJSUJKvVqp07d+ree++tdd/l5eUqLy93fC8rK2u6EwH+Y2hiomw2W519jhcVuakawPsVFhapS+cudfaJjIzSZzs+dVNFaK68NuwUFxdLkiIjI6ttj4yMdLQVFxcrIiKiWvt1112nNm3aOPrUZuHChXr22WddXDFQN5vNpp1bNtfZp0NcvJuqab7qXQpCavRyEPAOdrtdM1OfrrPPkswX3FQNmjOvDTtNKS0tTbNmzXJ8LysrU3R0tAcrAnDl6lsKQmrschAAzMVrXz2PioqSJJWUlFTbXlJS4miLiopSaWlptfZLly7p5MmTjj618ff3V3BwcLUPAAAwJ6+9s9OpUydFRUUpJydHvXv3lvTdHZidO3dq2rRpkqSEhASdOnVK+fn56tu3ryRp69atqqqq0oABAzxVOgDATeob18OYHkgeDjtnz57V4cOHHd+PHDmiXbt2qU2bNoqJidGTTz6p559/Xl26dFGnTp30y1/+Uu3bt9eoUaMkSV27dtUPf/hDTZ06VStWrFBlZaWmT5+usWPH8iYWAFwD6hvXw5geSB4OO1999ZUSExMd3y+Po5k4caJWrVqlp556SufOndMjjzyiU6dOafDgwdq0aZMCAgIcv3n33Xc1ffp0DRs2TFarVWPGjNGyZcvcfi4AAMA7eTTsDBkyRIbh/LUJi8WiBQsWaMGCBU77tGnTRllZWU1RHgAAMAGvHaAMAADgCl47QBlobuqbNJAJAwHAMwg7gIvUN2kgEwYCgGfwGAsAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgay0UAgIsZVVVa9Ep6nX2sVot7igFA2AEAV7NarXon47U6+9w1/gE3VQOAx1gAAMDUuLMDXKGhiYmy2WxO248XFbmxGgDAlSLs4JpRX1gJDw/X1o8/dtpus9m0c8tmp+0d4uIbVR8AoGkQdnDNqC+sDEhKdmM1AAB3YcwOAAAwNcIOAAAwNcIOAAAwNcIOAAAwNcIOAAAwNd7GAv6jsLBQPbp3d9rOPDoA0DwRdoD/MIwq5tGB29S3fhZrZwGuQ9gBAA+ob/0s1s4CXIewA8CrXLpkV0ZGhvMOhvtqAWAOhB0AXsZQQv/b6mivIwgB31NYWKQunbs4bY+MjNJnOz51Y0XwBMIOAMC07Ha7ZqY+7bR9SeYLbqwGnsKr5wAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNR4GwuAWzGPDgB3I+wAcDPm0QHgXjzGAgAApkbYAQAApkbYAQAApkbYAQAApkbYAQAApsbbWACAaxarol8bCDsAgGsWq6JfGwg7MIWhiYmy2Wx19jleVOSmagAA3oSwg2ahvjBzvKhIBfv31LmPDnHxri4L8Bir1aJFr6TX2Q7gO4QdNAs2m007t2x22k6QgdkYVVV1hhkfH6veyXjNaftd4x9ogqqA5omwAwBeyGqtO8ykEGaAK0bYAQATqu/OEI+5cC0h7ACACdV3Z4jHXLiWEHYAuNSlS3ZlZNSxcrnhvloAQCLsALhK9YcZQwn9b6tjD3X8FgCaAGEHblHfq+Ph4eHa+vHHbqwIDUeYAdC8EHbgFvW9Oj4gKdmN1QAAriWEHXiFwsJC9eje3Wk7sx8DABqKsAOvYBhVTBoIAGgShB0AAJxgVXRzIOwAAOAEq6Kbg9XTBQAAADQl7uwAwDWovuUkJJaUgHkQdgA41DthoMQMyCZR33ISEktKXIn6xvRIUqnNpojwcKftjPtpeoQdAP+lvgkDJSYNvHawmGj96hvTI0kz50xj3I+HEXbgEvXNkMw8OUDzw2KiMAvCDlyivhmSmScHMJ/67vz4+Fi4MwSvYJqwk5mZqZdeeknFxcXq1auXMjIydOutt3q6LLdg3SkAnlDfnZ+U8Q9wZwhewRRh57333tOsWbO0YsUKDRgwQEuXLlVycrIOHTqkiIgIT5fX5Jp63an6wpTEYyoAgPcyRdh55ZVXNHXqVE2ePFmStGLFCm3YsEFvvvmmfvGLX3i4usZr6vEwV7L/gv176twHj6m8Q31vU12qvFT321a8aQU3YgD0d5iluek1+7BTUVGh/Px8paWlObZZrVYlJSUpLy/Pg5W5TlOPh2G8zZWpN0hcsruxGmfqe5sqo952wF1cMQDaam3+44KYpbnpNfuwc+LECdntdkVGRlbbHhkZqYMHD9b6m/LycpWXlzu+nz59WpJUVlbm8vruTknRiRMnnLaHhYVp/YYNde7Dbrer7MwZp+2GYdTZ/u9//1vxXbs6bT9WUKCXXn7ZaXtl5aU693+5T2P2Ud85NLb9imqsqKyz3aiqUs9ufets94breO78+SZrd8cxqNE72r2hhiq7XQtfnldnjVarRSsWOf93ZsxDE+rch8UiXbh4oc72un5vtdbdfiXHMAyjzvaqqqom+fvpagy/M1k2W6nTdtuJEwoPC3PaHh4eoY+ynf9PdUNdvi6GUc9taaOZKywsNCQZubm51bbPnj3buPXWW2v9zfz58w19d8OeDx8+fPjw4dPMP8eOHaszKzT7OzthYWHy8fFRSUlJte0lJSWKioqq9TdpaWmaNWuW43tVVZVOnjyptm3bymJp2C3PsrIyRUdH69ixYwoODm7QPq51XMPG4xo2Dtev8biGjcc1vHKGYejMmTNq3759nf2afdjx8/NT3759lZOTo1GjRkn6Lrzk5ORo+vTptf7G399f/v7+1baFhoa6pJ7g4GD+cDYS17DxuIaNw/VrPK5h43ENr0xISEi9fZp92JGkWbNmaeLEierXr59uvfVWLV26VOfOnXO8nQUAAK5dpgg7P/7xj2Wz2TRv3jwVFxerd+/e2rRpU41BywAA4NpjirAjSdOnT3f62Mod/P39NX/+/BqPx3DluIaNxzVsHK5f43ENG49r6HoWw6jvfS0AAIDmy+rpAgAAAJoSYQcAAJgaYQcAAJgaYQcAAJgaYaeJbNiwQQMGDFBgYKBat27tmPAQV6e8vFy9e/eWxWLRrl27PF1Os3H06FFNmTJFnTp1UmBgoG688UbNnz9fFRUVni7Nq2VmZqpjx44KCAjQgAED9MUXX3i6pGZj4cKF6t+/v1q1aqWIiAiNGjVKhw4d8nRZzdaLL74oi8WiJ5980tOlmAJhpwn8+c9/1oQJEzR58mTt3r1bO3bs0Lhx4zxdVrP01FNP1TsNOGo6ePCgqqqq9Prrr2vfvn1asmSJVqxYoaefdr6y8rXuvffe06xZszR//nx9/fXX6tWrl5KTk1Va6nzxQ/y/Tz75RKmpqfr888+VnZ2tyspKDR8+XOfOnfN0ac3Ol19+qddff109e/b0dCnm4ZrlOHFZZWWl0aFDB+P3v/+9p0tp9jZu3GjExcUZ+/btMyQZf/vb3zxdUrO2ePFio1OnTp4uw2vdeuutRmpqquO73W432rdvbyxcuNCDVTVfpaWlhiTjk08+8XQpzcqZM2eMLl26GNnZ2cYdd9xhPPHEE54uyRS4s+NiX3/9tQoLC2W1WtWnTx+1a9dOI0aM0N69ez1dWrNSUlKiqVOn6p133lFQUJCnyzGF06dPq02bNp4uwytVVFQoPz9fSUlJjm1Wq1VJSUnKy8vzYGXN1+nTpyWJP3NXKTU1VSkpKdX+LKLxCDsu9q9//UuSlJ6errlz52r9+vVq3bq1hgwZopMnT3q4uubBMAxNmjRJjz32mPr16+fpckzh8OHDysjI0KOPPurpUrzSiRMnZLfbaywxExkZqeLiYg9V1XxVVVXpySef1KBBg9S9e3dPl9NsrF69Wl9//bUWLlzo6VJMh7BzhX7xi1/IYrHU+bk8TkKSnnnmGY0ZM0Z9+/bVypUrZbFYtGbNGg+fhWdd6TXMyMjQmTNnlJaW5umSvc6VXsP/VlhYqB/+8Ie6//77NXXqVA9VjmtJamqq9u7dq9WrV3u6lGbj2LFjeuKJJ/Tuu+8qICDA0+WYDstFXCGbzaZvvvmmzj433HCDduzYoaFDh+rTTz/V4MGDHW0DBgxQUlKSfvWrXzV1qV7rSq/hAw88oL/85S+yWCyO7Xa7XT4+Pho/frzeeuutpi7Va13pNfTz85MkFRUVaciQIRo4cKBWrVolq5X/v6lNRUWFgoKC9Kc//anam5MTJ07UqVOntHbtWs8V18xMnz5da9eu1fbt29WpUydPl9NsfPjhh7r33nvl4+Pj2Ga322WxWGS1WlVeXl6tDVfHNAuBNrXw8HCFh4fX269v377y9/fXoUOHHGGnsrJSR48eVWxsbFOX6dWu9BouW7ZMzz//vON7UVGRkpOT9d5772nAgAFNWaLXu9JrKH13RycxMdFxd5Gg45yfn5/69u2rnJwcR9ipqqpSTk6ORxcYbk4Mw9CMGTP0wQcfaNu2bQSdqzRs2DDt2bOn2rbJkycrLi5Oc+bMIeg0EmHHxYKDg/XYY49p/vz5io6OVmxsrF566SVJ0v333+/h6pqHmJiYat9btmwpSbrxxht1/fXXe6KkZqewsFBDhgxRbGysXn75ZdlsNkdbVFSUByvzXrNmzdLEiRPVr18/3XrrrVq6dKnOnTunyZMne7q0ZiE1NVVZWVlau3atWrVq5RjrFBISosDAQA9X5/1atWpVY3xTixYt1LZtW8Y9uQBhpwm89NJLuu666zRhwgRduHBBAwYM0NatW9W6dWtPl4ZrRHZ2tg4fPqzDhw/XCIg8ua7dj3/8Y9lsNs2bN0/FxcXq3bu3Nm3aVGPQMmq3fPlySdKQIUOqbV+5cqUmTZrk/oKA/8KYHQAAYGo8xAcAAKZG2AEAAKZG2AEAAKZG2AEAAKZG2AEAAKZG2AEAAKZG2AEAAKZG2AEAAKZG2AEAAKZG2AEAfbfyOQBzIuwA8Gp/+tOf1KNHDwUGBqpt27ZKSkrSuXPnJElvvvmmunXrJn9/f7Vr167aCuUFBQUaOXKkWrZsqeDgYD3wwAMqKSlxtKenp6t37976/e9/r06dOikgIECSdOrUKT388MMKDw9XcHCwhg4dqt27d7v3pAG4FGEHgNc6fvy4HnzwQT300EM6cOCAtm3bptGjR8swDC1fvlypqal65JFHtGfPHq1bt06dO3eWJFVVVWnkyJE6efKkPvnkE2VnZ+tf//qXfvzjH1fb/+HDh/XnP/9Z77//vnbt2iVJuv/++1VaWqq//vWvys/P1y233KJhw4bp5MmT7j59AC7CQqAAvNbXX3+tvn376ujRo4qNja3W1qFDB02ePFnPP/98jd9lZ2drxIgROnLkiKKjoyVJ+/fvV7du3fTFF1+of//+Sk9P1wsvvKDCwkKFh4dLkj777DOlpKSotLRU/v7+jv117txZTz31lB555JEmPFsATeU6TxcAAM706tVLw4YNU48ePZScnKzhw4frvvvuU2VlpYqKijRs2LBaf3fgwAFFR0c7go4kxcfHKzQ0VAcOHFD//v0lSbGxsY6gI0m7d+/W2bNn1bZt22r7u3Dhgv75z382wRkCcAfCDgCv5ePjo+zsbOXm5uqjjz5SRkaGnnnmGeXk5Lhk/y1atKj2/ezZs2rXrp22bdtWo29oaKhLjgnA/Qg7ALyaxWLRoEGDNGjQIM2bN0+xsbHKzs5Wx44dlZOTo8TExBq/6dq1q44dO6Zjx45Ve4x16tQpxcfHOz3WLbfcouLiYl133XXq2LFjU50SADcj7ADwWjt37lROTo6GDx+uiIgI7dy5UzabTV27dlV6eroee+wxRUREaMSIETpz5ox27NihGTNmKCkpST169ND48eO1dOlSXbp0SY8//rjuuOMO9evXz+nxkpKSlJCQoFGjRmnx4sW66aabVFRUpA0bNujee++t87cAvBdhB4DXCg4O1vbt27V06VKVlZUpNjZWv/71rzVixAhJ0sWLF7VkyRL9/Oc/V1hYmO677z5J390NWrt2rWbMmKHbb79dVqtVP/zhD5WRkVHn8SwWizZu3KhnnnlGkydPls1mU1RUlG6//XZFRkY2+fkCaBq8jQUAAEyNeXYAAICpEXYAAICpEXYAAICpEXYAAICpEXYAAICpEXYAAICpEXYAAICpEXYAAICpEXYAAICpEXYAAICpEXYAAICpEXYAAICp/R9m5X3KpffJoQAAAABJRU5ErkJggg==", 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CGrWPSZMmadKkSa4p6CoQdgAAaIZiYmJ04MAB1sa6AoQdAACaqZiYmGYbQNyJeXYAAICpEXYAAICpEXYAAICpEXYAAICpEXYAAICpEXYAAICpEXYAAICpMc8OgKsyNDFRNpvNafvx/6x5A6DpFRQUMKngFSDsALgqNptNO7dsdtreIS7ejdUA166CggLFxcXpwoULbjleYGCgDh48eFWBZ/v27XrppZeUn5+v48eP64MPPtCoUaOarkgnCDsA4IUGD7pNJSXFTtsLC7mDdq07ceKELly4oInjpyoqsn2THqu4pEhvvfs7nThx4qrCzrlz59SrVy899NBDGj16dBNWWDfCDgB4oZKSYs1Mfdpp+8w509xYDbxZVGR7xVwf6+kyajVixAiNGDHC02UwQBkAAJgbYQcAAJgaYQcAAJgaYQcAAJia14SdF198URaLRU8++aRj28WLF5Wamqq2bduqZcuWGjNmjEpKSqr9rqCgQCkpKQoKClJERIRmz56tS5cuubl6AADgrbzibawvv/xSr7/+unr27Flt+8yZM7VhwwatWbNGISEhmj59ukaPHq0dO3ZIkux2u1JSUhQVFaXc3FwdP35cP/3pT+Xr66sXXnjBE6cCAAD+4+zZszp8+LDj+5EjR7Rr1y61adPGrRMUejzsnD17VuPHj9fvfvc7Pf/8847tp0+f1htvvKGsrCwNHTpUkrRy5Up17dpVn3/+uQYOHKiPPvpI+/fv15YtWxQZGanevXvrueee05w5c5Seni4/Pz9PnRYA1Il5dOAqxSVN/2elocf46quvlJiY6Pg+a9YsSdLEiRO1atUqV5R2RTwedlJTU5WSkqKkpKRqYSc/P1+VlZVKSkpybIuLi1NMTIzy8vI0cOBA5eXlqUePHoqMjHT0SU5O1rRp07Rv3z716dOn1mOWl5ervLzc8b2srKwJzgwAnGMeHTRWWFiYAgMD9da7v3PL8QIDAxUWFnZVvxkyZIgMw2iiiq6cR8PO6tWr9fXXX+vLL7+s0VZcXCw/Pz+FhoZW2x4ZGani4mJHn/8OOpfbL7c5s3DhQj377LONrB4AAM+JiYnRwYMHWRvrCngs7Bw7dkxPPPGEsrOzFRAQ4NZjp6WlOW6lSd/d2YmOjnZrDYA3qm+RT4mFPgFvEhMT02wDiDt5LOzk5+ertLRUt9xyi2Ob3W7X9u3b9eqrr2rz5s2qqKjQqVOnqt3dKSkpUVRUlCQpKipKX3zxRbX9Xn5b63Kf2vj7+8vf39+FZwOYQ32LfEos9Amg+fHYq+fDhg3Tnj17tGvXLsenX79+Gj9+vOOffX19lZOT4/jNoUOHVFBQoISEBElSQkKC9uzZo9LSUkef7OxsBQcHKz6e/yADAAAP3tlp1aqVunfvXm1bixYt1LZtW8f2KVOmaNasWWrTpo2Cg4M1Y8YMJSQkaODAgZKk4cOHKz4+XhMmTNDixYtVXFysuXPnKjU1lTs3AABT8YaBvp7givP2+NtYdVmyZImsVqvGjBmj8vJyJScn67XXXnO0+/j4aP369Zo2bZoSEhLUokULTZw4UQsWLPBg1QAAuI6vr68k6fz58woMDPRwNe53/vx5Sf9/HRrCq8LOtm3bqn0PCAhQZmamMjMznf4mNjZWGzdubOLKAADwDB8fH4WGhjqGbAQFBclisXi4qqZnGIbOnz+v0tJShYaGysfHp8H78qqwAwAAarr80s1/j1G9VoSGhtb50tGVIOwAAODlLBaL2rVrp4iICFVWVnq6HLfx9fVt1B2dywg7AAA0Ez4+Pi75y/9a4zWrngMAADQF7uwAwDWosLBIXTp3qbNPZGSUPtvxqZsqApoOYQcArkF2u73OhUglaUnmC26qBmhaPMYCAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmxttYAJqVwsJC9ejevc4+4eHh2vrxx26qCIC3I+wAaFYMo0o7t2yus8+ApGQ3VQOgOeAxFgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDUmFQQAFxs86DaVlBTX2aewsMhN1QAg7ACAi5WUFGtm6tN19pk5Z5qbqgHAYywAAGBqhB0AAGBqhB0AAGBqhB0AAGBqhB0AAGBqhB0AAGBqvHoOAKhVYWGRunTu4rQ9MjJKn+341I0VAQ1D2AEA1Mput9c5X9CSzBfcWA3QcDzGAgAApsadHQCmU1hYqB7duzttDw8P19aPP3ZjRQA8ibADwHQMo0o7t2x22j4gKdmN1QDwNB5jAQAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAU7vO0wUAQHMzeNBtKikpdtpeWFjkxmoA1IewAwBXqaSkWDNTn3baPnPONDdWA6A+PMYCAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACm5tGws3z5cvXs2VPBwcEKDg5WQkKC/vrXvzraL168qNTUVLVt21YtW7bUmDFjVFJSUm0fBQUFSklJUVBQkCIiIjR79mxdunTJ3acCAAC8lEfDzvXXX68XX3xR+fn5+uqrrzR06FCNHDlS+/btkyTNnDlTf/nLX7RmzRp98sknKioq0ujRox2/t9vtSklJUUVFhXJzc/XWW29p1apVmjdvnqdOCQAAeJnrPHnwe+65p9r3X/3qV1q+fLk+//xzXX/99XrjjTeUlZWloUOHSpJWrlyprl276vPPP9fAgQP10Ucfaf/+/dqyZYsiIyPVu3dvPffcc5ozZ47S09Pl5+fnidMCAABexGvG7Njtdq1evVrnzp1TQkKC8vPzVVlZqaSkJEefuLg4xcTEKC8vT5KUl5enHj16KDIy0tEnOTlZZWVljrtDAADg2ubROzuStGfPHiUkJOjixYtq2bKlPvjgA8XHx2vXrl3y8/NTaGhotf6RkZEqLi6WJBUXF1cLOpfbL7c5U15ervLycsf3srIyF50NAADwNh6/s3PzzTdr165d2rlzp6ZNm6aJEydq//79TXrMhQsXKiQkxPGJjo5u0uMBAADP8XjY8fPzU+fOndW3b18tXLhQvXr10m9+8xtFRUWpoqJCp06dqta/pKREUVFRkqSoqKgab2dd/n65T23S0tJ0+vRpx+fYsWOuPSkAAOA1PB52vq+qqkrl5eXq27evfH19lZOT42g7dOiQCgoKlJCQIElKSEjQnj17VFpa6uiTnZ2t4OBgxcfHOz2Gv7+/43X3yx8AAGBOHh2zk5aWphEjRigmJkZnzpxRVlaWtm3bps2bNyskJERTpkzRrFmz1KZNGwUHB2vGjBlKSEjQwIEDJUnDhw9XfHy8JkyYoMWLF6u4uFhz585Vamqq/P39PXlqAADAS3g07JSWluqnP/2pjh8/rpCQEPXs2VObN2/WnXfeKUlasmSJrFarxowZo/LyciUnJ+u1115z/N7Hx0fr16/XtGnTlJCQoBYtWmjixIlasGCBp04JAAB4GY+GnTfeeKPO9oCAAGVmZiozM9Npn9jYWG3cuNHVpQEAAJPwujE7AAAAruTxeXYAAM1TYWGRunTu4rQ9MjJKn+341I0VAbUj7AAAGsRut2tm6tNO25dkvuDGagDneIwFAABMjTs7APA9gwfdppIS50vOFBYWubEaAI1F2AGA7ykpKa7z8czMOdPcWA2AxuIxFgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDWWiwCuIUMTE2Wz2Zy2Hy9izScA5kPYAa4hNptNO7dsdtreIS7ejdUAgHs06DHWDTfcoG+++abG9lOnTumGG25odFEAAACu0qCwc/ToUdnt9hrby8vLVVhY2OiiAAAAXOWqHmOtW7fO8c+bN29WSEiI47vdbldOTo46duzosuIAXB3G5ABATVcVdkaNGiVJslgsmjhxYrU2X19fdezYUb/+9a9dVhyAq8OYHACo6arCTlVVlSSpU6dO+vLLLxUWFtYkRQEAALhKg97GOnLkiKvrAAAAaBINfvU8JydHOTk5Ki0tddzxuezNN99sdGEAAACu0KCw8+yzz2rBggXq16+f2rVrJ4vF4uq6AAAAXKJBYWfFihVatWqVJkyY4Op6AAAAXKpB8+xUVFToBz/4gatrAQAAcLkGhZ2HH35YWVlZrq4FAADA5Rr0GOvixYv67W9/qy1btqhnz57y9fWt1v7KK6+4pDgAAIDGalDY+fvf/67evXtLkvbu3VutjcHKAADAmzQo7Hz88ceurgMAAKBJNGjMDgAAQHPRoDs7iYmJdT6u2rp1a4MLAgAAcKUGhZ3L43Uuq6ys1K5du7R3794aC4QCAAB4UoPCzpIlS2rdnp6errNnzzaqIAAAAFdy6Zidn/zkJ6yLBQAAvIpLw05eXp4CAgJcuUsAAIBGadBjrNGjR1f7bhiGjh8/rq+++kq//OUvXVIYAACAKzQo7ISEhFT7brVadfPNN2vBggUaPny4SwoDAABwhQaFnZUrV7q6DgAAgCbRoLBzWX5+vg4cOCBJ6tatm/r06eOSogAAAFylQWGntLRUY8eO1bZt2xQaGipJOnXqlBITE7V69WqFh4e7skYAAIAGa9DbWDNmzNCZM2e0b98+nTx5UidPntTevXtVVlamn/3sZ66uEQAAoMEadGdn06ZN2rJli7p27erYFh8fr8zMTAYoAwAAr9KgOztVVVXy9fWtsd3X11dVVVWNLgoAAMBVGhR2hg4dqieeeEJFRUWObYWFhZo5c6aGDRvmsuIAAAAaq0Fh59VXX1VZWZk6duyoG2+8UTfeeKM6deqksrIyZWRkuLpGAACABmvQmJ3o6Gh9/fXX2rJliw4ePChJ6tq1q5KSklxaHAAAQGNd1Z2drVu3Kj4+XmVlZbJYLLrzzjs1Y8YMzZgxQ/3791e3bt306aefNlWtAAAAV+2qws7SpUs1depUBQcH12gLCQnRo48+qldeecVlxQEAADTWVT3G2r17txYtWuS0ffjw4Xr55ZcbXRQAoPkrLCxSl85dnLZHRkbpsx08DUDTu6qwU1JSUusr546dXXedbDZbo4sCADR/drtdM1Ofdtq+JPMFN1aDa9lVPcbq0KGD9u7d67T973//u9q1a9foogAAAFzlqsLOXXfdpV/+8pe6ePFijbYLFy5o/vz5uvvuu11WHAAAQGNd1WOsuXPn6v3339dNN92k6dOn6+abb5YkHTx4UJmZmbLb7XrmmWeapFAAAICGuKqwExkZqdzcXE2bNk1paWkyDEOSZLFYlJycrMzMTEVGRjZJoQDgKoWFherRvbvTdput1I3VAGhqVz2pYGxsrDZu3Khvv/1Whw8flmEY6tKli1q3bt0U9QGAyxlGlXZu2ey0vf1NXZ22AWh+GjSDsiS1bt1a/fv3d2UtAAAALtegtbEAAACaC8IOAAAwNcIOAAAwNcIOAAAwNcIOAAAwNcIOAAAwNY+GnYULF6p///5q1aqVIiIiNGrUKB06dKhan4sXLyo1NVVt27ZVy5YtNWbMGJWUlFTrU1BQoJSUFAUFBSkiIkKzZ8/WpUuX3HkqAADAS3k07HzyySdKTU3V559/ruzsbFVWVmr48OE6d+6co8/MmTP1l7/8RWvWrNEnn3yioqIijR492tFut9uVkpKiiooK5ebm6q233tKqVas0b948T5wSAADwMg2eVNAVNm3aVO37qlWrFBERofz8fN1+++06ffq03njjDWVlZWno0KGSpJUrV6pr1676/PPPNXDgQH300Ufav3+/tmzZosjISPXu3VvPPfec5syZo/T0dPn5+Xni1AAAgJfwqjE7p0+fliS1adNGkpSfn6/KykolJSU5+sTFxSkmJkZ5eXmSpLy8PPXo0aPamlzJyckqKyvTvn37aj1OeXm5ysrKqn0AAIA5eU3Yqaqq0pNPPqlBgwap+38W6CsuLpafn59CQ0Or9Y2MjFRxcbGjz/cXH738/XKf71u4cKFCQkIcn+joaBefDQAA8BZeE3ZSU1O1d+9erV69usmPlZaWptOnTzs+x44da/JjAgAAz/DomJ3Lpk+frvXr12v79u26/vrrHdujoqJUUVGhU6dOVbu7U1JSoqioKEefL774otr+Lr+tdbnP9/n7+8vf39/FZwEAALyRR+/sGIah6dOn64MPPtDWrVvVqVOnau19+/aVr6+vcnJyHNsOHTqkgoICJSQkSJISEhK0Z88elZaWOvpkZ2crODhY8fHx7jkRAADgtTx6Zyc1NVVZWVlau3atWrVq5RhjExISosDAQIWEhGjKlCmaNWuW2rRpo+DgYM2YMUMJCQkaOHCgJGn48OGKj4/XhAkTtHjxYhUXF2vu3LlKTU3l7g0AAPBs2Fm+fLkkaciQIdW2r1y5UpMmTZIkLVmyRFarVWPGjFF5ebmSk5P12muvOfr6+Pho/fr1mjZtmhISEtSiRQtNnDhRCxYscNdpAAAAL+bRsGMYRr19AgIClJmZqczMTKd9YmNjtXHjRleWBgAATMJr3sYCAABoCoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgatd5ugAAcLdLl+zKyMhw3m63u7EaAE2NsAPgGmQoof9tdbQ7D0JwncLCInXp3MVpe2RklD7b8akbK4JZEXYAAB5ht9s1M/Vpp+1LMl9wYzUwM8bsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAU2MGZaAZGZqYKJvN5rT9eFGRG6sBgOaBsAM0IzabTTu3bHba3iEu3o3VAEDzwGMsAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgasyzA3gRJg30DkZVlRa9ku603Wq1uK8YAI1G2AG8CJMGeger1ap3Ml5z2n7X+AfcWA2AxuIxFgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMLXrPF0AALjapUt2ZWRkOO9gNG7/RlWVFr2S7rTdarU07gAAXIqwA8CEDCX0v62O9jqC0BWwWq16J+M1p+13jX+gUfsH4Fo8xgIAAKZG2AEAAKZG2AEAAKZG2AEAAKZG2AEAAKbm0bCzfft23XPPPWrfvr0sFos+/PDDau2GYWjevHlq166dAgMDlZSUpH/84x/V+pw8eVLjx49XcHCwQkNDNWXKFJ09e9aNZwEAALyZR8POuXPn1KtXL2VmZtbavnjxYi1btkwrVqzQzp071aJFCyUnJ+vixYuOPuPHj9e+ffuUnZ2t9evXa/v27XrkkUfcdQoAAMDLeXSenREjRmjEiBG1thmGoaVLl2ru3LkaOXKkJOntt99WZGSkPvzwQ40dO1YHDhzQpk2b9OWXX6pfv36SpIyMDN111116+eWX1b59e7edCwAA8E5eO6ngkSNHVFxcrKSkJMe2kJAQDRgwQHl5eRo7dqzy8vIUGhrqCDqSlJSUJKvVqp07d+ree++tdd/l5eUqLy93fC8rK2u6EwH+Y2hiomw2W519jhcVuakawPsVFhapS+cudfaJjIzSZzs+dVNFaK68NuwUFxdLkiIjI6ttj4yMdLQVFxcrIiKiWvt1112nNm3aOPrUZuHChXr22WddXDFQN5vNpp1bNtfZp0NcvJuqab7qXQpCavRyEPAOdrtdM1OfrrPPkswX3FQNmjOvDTtNKS0tTbNmzXJ8LysrU3R0tAcrAnDl6lsKQmrschAAzMVrXz2PioqSJJWUlFTbXlJS4miLiopSaWlptfZLly7p5MmTjj618ff3V3BwcLUPAAAwJ6+9s9OpUydFRUUpJydHvXv3lvTdHZidO3dq2rRpkqSEhASdOnVK+fn56tu3ryRp69atqqqq0oABAzxVOgDATeob18OYHkgeDjtnz57V4cOHHd+PHDmiXbt2qU2bNoqJidGTTz6p559/Xl26dFGnTp30y1/+Uu3bt9eoUaMkSV27dtUPf/hDTZ06VStWrFBlZaWmT5+usWPH8iYWAFwD6hvXw5geSB4OO1999ZUSExMd3y+Po5k4caJWrVqlp556SufOndMjjzyiU6dOafDgwdq0aZMCAgIcv3n33Xc1ffp0DRs2TFarVWPGjNGyZcvcfi4AAMA7eTTsDBkyRIbh/LUJi8WiBQsWaMGCBU77tGnTRllZWU1RHgAAMAGvHaAMAADgCl47QBlobuqbNJAJAwHAMwg7gIvUN2kgEwYCgGfwGAsAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgay0UAgIsZVVVa9Ep6nX2sVot7igFA2AEAV7NarXon47U6+9w1/gE3VQOAx1gAAMDUuLMDXKGhiYmy2WxO248XFbmxGgDAlSLs4JpRX1gJDw/X1o8/dtpus9m0c8tmp+0d4uIbVR8AoGkQdnDNqC+sDEhKdmM1AAB3YcwOAAAwNcIOAAAwNcIOAAAwNcIOAAAwNcIOAAAwNd7GAv6jsLBQPbp3d9rOPDoA0DwRdoD/MIwq5tGB29S3fhZrZwGuQ9gBAA+ob/0s1s4CXIewA8CrXLpkV0ZGhvMOhvtqAWAOhB0AXsZQQv/b6mivIwgB31NYWKQunbs4bY+MjNJnOz51Y0XwBMIOAMC07Ha7ZqY+7bR9SeYLbqwGnsKr5wAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNR4GwuAWzGPDgB3I+wAcDPm0QHgXjzGAgAApkbYAQAApkbYAQAApkbYAQAApkbYAQAApsbbWACAaxarol8bCDsAgGsWq6JfGwg7MIWhiYmy2Wx19jleVOSmagAA3oSwg2ahvjBzvKhIBfv31LmPDnHxri4L8Bir1aJFr6TX2Q7gO4QdNAs2m007t2x22k6QgdkYVVV1hhkfH6veyXjNaftd4x9ogqqA5omwAwBeyGqtO8ykEGaAK0bYAQATqu/OEI+5cC0h7ACACdV3Z4jHXLiWEHYAuNSlS3ZlZNSxcrnhvloAQCLsALhK9YcZQwn9b6tjD3X8FgCaAGEHblHfq+Ph4eHa+vHHbqwIDUeYAdC8EHbgFvW9Oj4gKdmN1QAAriWEHXiFwsJC9eje3Wk7sx8DABqKsAOvYBhVTBoIAGgShB0AAJxgVXRzIOwAAOAEq6Kbg9XTBQAAADQl7uwAwDWovuUkJJaUgHkQdgA41DthoMQMyCZR33ISEktKXIn6xvRIUqnNpojwcKftjPtpeoQdAP+lvgkDJSYNvHawmGj96hvTI0kz50xj3I+HEXbgEvXNkMw8OUDzw2KiMAvCDlyivhmSmScHMJ/67vz4+Fi4MwSvYJqwk5mZqZdeeknFxcXq1auXMjIydOutt3q6LLdg3SkAnlDfnZ+U8Q9wZwhewRRh57333tOsWbO0YsUKDRgwQEuXLlVycrIOHTqkiIgIT5fX5Jp63an6wpTEYyoAgPcyRdh55ZVXNHXqVE2ePFmStGLFCm3YsEFvvvmmfvGLX3i4usZr6vEwV7L/gv176twHj6m8Q31vU12qvFT321a8aQU3YgD0d5iluek1+7BTUVGh/Px8paWlObZZrVYlJSUpLy/Pg5W5TlOPh2G8zZWpN0hcsruxGmfqe5sqo952wF1cMQDaam3+44KYpbnpNfuwc+LECdntdkVGRlbbHhkZqYMHD9b6m/LycpWXlzu+nz59WpJUVlbm8vruTknRiRMnnLaHhYVp/YYNde7Dbrer7MwZp+2GYdTZ/u9//1vxXbs6bT9WUKCXXn7ZaXtl5aU693+5T2P2Ud85NLb9imqsqKyz3aiqUs9ufets94breO78+SZrd8cxqNE72r2hhiq7XQtfnldnjVarRSsWOf93ZsxDE+rch8UiXbh4oc72un5vtdbdfiXHMAyjzvaqqqom+fvpagy/M1k2W6nTdtuJEwoPC3PaHh4eoY+ynf9PdUNdvi6GUc9taaOZKywsNCQZubm51bbPnj3buPXWW2v9zfz58w19d8OeDx8+fPjw4dPMP8eOHaszKzT7OzthYWHy8fFRSUlJte0lJSWKioqq9TdpaWmaNWuW43tVVZVOnjyptm3bymJp2C3PsrIyRUdH69ixYwoODm7QPq51XMPG4xo2Dtev8biGjcc1vHKGYejMmTNq3759nf2afdjx8/NT3759lZOTo1GjRkn6Lrzk5ORo+vTptf7G399f/v7+1baFhoa6pJ7g4GD+cDYS17DxuIaNw/VrPK5h43ENr0xISEi9fZp92JGkWbNmaeLEierXr59uvfVWLV26VOfOnXO8nQUAAK5dpgg7P/7xj2Wz2TRv3jwVFxerd+/e2rRpU41BywAA4NpjirAjSdOnT3f62Mod/P39NX/+/BqPx3DluIaNxzVsHK5f43ENG49r6HoWw6jvfS0AAIDmy+rpAgAAAJoSYQcAAJgaYQcAAJgaYQcAAJgaYaeJbNiwQQMGDFBgYKBat27tmPAQV6e8vFy9e/eWxWLRrl27PF1Os3H06FFNmTJFnTp1UmBgoG688UbNnz9fFRUVni7Nq2VmZqpjx44KCAjQgAED9MUXX3i6pGZj4cKF6t+/v1q1aqWIiAiNGjVKhw4d8nRZzdaLL74oi8WiJ5980tOlmAJhpwn8+c9/1oQJEzR58mTt3r1bO3bs0Lhx4zxdVrP01FNP1TsNOGo6ePCgqqqq9Prrr2vfvn1asmSJVqxYoaefdr6y8rXuvffe06xZszR//nx9/fXX6tWrl5KTk1Va6nzxQ/y/Tz75RKmpqfr888+VnZ2tyspKDR8+XOfOnfN0ac3Ol19+qddff109e/b0dCnm4ZrlOHFZZWWl0aFDB+P3v/+9p0tp9jZu3GjExcUZ+/btMyQZf/vb3zxdUrO2ePFio1OnTp4uw2vdeuutRmpqquO73W432rdvbyxcuNCDVTVfpaWlhiTjk08+8XQpzcqZM2eMLl26GNnZ2cYdd9xhPPHEE54uyRS4s+NiX3/9tQoLC2W1WtWnTx+1a9dOI0aM0N69ez1dWrNSUlKiqVOn6p133lFQUJCnyzGF06dPq02bNp4uwytVVFQoPz9fSUlJjm1Wq1VJSUnKy8vzYGXN1+nTpyWJP3NXKTU1VSkpKdX+LKLxCDsu9q9//UuSlJ6errlz52r9+vVq3bq1hgwZopMnT3q4uubBMAxNmjRJjz32mPr16+fpckzh8OHDysjI0KOPPurpUrzSiRMnZLfbaywxExkZqeLiYg9V1XxVVVXpySef1KBBg9S9e3dPl9NsrF69Wl9//bUWLlzo6VJMh7BzhX7xi1/IYrHU+bk8TkKSnnnmGY0ZM0Z9+/bVypUrZbFYtGbNGg+fhWdd6TXMyMjQmTNnlJaW5umSvc6VXsP/VlhYqB/+8Ie6//77NXXqVA9VjmtJamqq9u7dq9WrV3u6lGbj2LFjeuKJJ/Tuu+8qICDA0+WYDstFXCGbzaZvvvmmzj433HCDduzYoaFDh+rTTz/V4MGDHW0DBgxQUlKSfvWrXzV1qV7rSq/hAw88oL/85S+yWCyO7Xa7XT4+Pho/frzeeuutpi7Va13pNfTz85MkFRUVaciQIRo4cKBWrVolq5X/v6lNRUWFgoKC9Kc//anam5MTJ07UqVOntHbtWs8V18xMnz5da9eu1fbt29WpUydPl9NsfPjhh7r33nvl4+Pj2Ga322WxWGS1WlVeXl6tDVfHNAuBNrXw8HCFh4fX269v377y9/fXoUOHHGGnsrJSR48eVWxsbFOX6dWu9BouW7ZMzz//vON7UVGRkpOT9d5772nAgAFNWaLXu9JrKH13RycxMdFxd5Gg45yfn5/69u2rnJwcR9ipqqpSTk6ORxcYbk4Mw9CMGTP0wQcfaNu2bQSdqzRs2DDt2bOn2rbJkycrLi5Oc+bMIeg0EmHHxYKDg/XYY49p/vz5io6OVmxsrF566SVJ0v333+/h6pqHmJiYat9btmwpSbrxxht1/fXXe6KkZqewsFBDhgxRbGysXn75ZdlsNkdbVFSUByvzXrNmzdLEiRPVr18/3XrrrVq6dKnOnTunyZMne7q0ZiE1NVVZWVlau3atWrVq5RjrFBISosDAQA9X5/1atWpVY3xTixYt1LZtW8Y9uQBhpwm89NJLuu666zRhwgRduHBBAwYM0NatW9W6dWtPl4ZrRHZ2tg4fPqzDhw/XCIg8ua7dj3/8Y9lsNs2bN0/FxcXq3bu3Nm3aVGPQMmq3fPlySdKQIUOqbV+5cqUmTZrk/oKA/8KYHQAAYGo8xAcAAKZG2AEAAKZG2AEAAKZG2AEAAKZG2AEAAKZG2AEAAKZG2AEAAKZG2AEAAKZG2AEAAKZG2AEAfbfyOQBzIuwA8Gp/+tOf1KNHDwUGBqpt27ZKSkrSuXPnJElvvvmmunXrJn9/f7Vr167aCuUFBQUaOXKkWrZsqeDgYD3wwAMqKSlxtKenp6t37976/e9/r06dOikgIECSdOrUKT388MMKDw9XcHCwhg4dqt27d7v3pAG4FGEHgNc6fvy4HnzwQT300EM6cOCAtm3bptGjR8swDC1fvlypqal65JFHtGfPHq1bt06dO3eWJFVVVWnkyJE6efKkPvnkE2VnZ+tf//qXfvzjH1fb/+HDh/XnP/9Z77//vnbt2iVJuv/++1VaWqq//vWvys/P1y233KJhw4bp5MmT7j59AC7CQqAAvNbXX3+tvn376ujRo4qNja3W1qFDB02ePFnPP/98jd9lZ2drxIgROnLkiKKjoyVJ+/fvV7du3fTFF1+of//+Sk9P1wsvvKDCwkKFh4dLkj777DOlpKSotLRU/v7+jv117txZTz31lB555JEmPFsATeU6TxcAAM706tVLw4YNU48ePZScnKzhw4frvvvuU2VlpYqKijRs2LBaf3fgwAFFR0c7go4kxcfHKzQ0VAcOHFD//v0lSbGxsY6gI0m7d+/W2bNn1bZt22r7u3Dhgv75z382wRkCcAfCDgCv5ePjo+zsbOXm5uqjjz5SRkaGnnnmGeXk5Lhk/y1atKj2/ezZs2rXrp22bdtWo29oaKhLjgnA/Qg7ALyaxWLRoEGDNGjQIM2bN0+xsbHKzs5Wx44dlZOTo8TExBq/6dq1q44dO6Zjx45Ve4x16tQpxcfHOz3WLbfcouLiYl133XXq2LFjU50SADcj7ADwWjt37lROTo6GDx+uiIgI7dy5UzabTV27dlV6eroee+wxRUREaMSIETpz5ox27NihGTNmKCkpST169ND48eO1dOlSXbp0SY8//rjuuOMO9evXz+nxkpKSlJCQoFGjRmnx4sW66aabVFRUpA0bNujee++t87cAvBdhB4DXCg4O1vbt27V06VKVlZUpNjZWv/71rzVixAhJ0sWLF7VkyRL9/Oc/V1hYmO677z5J390NWrt2rWbMmKHbb79dVqtVP/zhD5WRkVHn8SwWizZu3KhnnnlGkydPls1mU1RUlG6//XZFRkY2+fkCaBq8jQUAAEyNeXYAAICpEXYAAICpEXYAAICpEXYAAICpEXYAAICpEXYAAICpEXYAAICpEXYAAICpEXYAAICpEXYAAICpEXYAAICpEXYAAICp/R9m5X3KpffJoQAAAABJRU5ErkJggg==\n" + ] }, - "metadata": {} + "metadata": {}, + "output_type": "display_data" } ], "source": [ @@ -1109,8 +1109,8 @@ }, "outputs": [ { - "output_type": "stream", "name": "stdout", + "output_type": "stream", "text": [ "Best Parameters: {'clf__C': 0.1}\n", "Best CV Accuracy: 0.8920\n" @@ -1145,14 +1145,14 @@ }, "outputs": [ { - "output_type": "display_data", "data": { + "image/png": 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", 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+ ] }, - "metadata": {} + "metadata": {}, + "output_type": "display_data" } ], "source": [ @@ -1184,4 +1184,4 @@ }, "nbformat": 4, "nbformat_minor": 0 -} \ No newline at end of file +} diff --git a/doc/source/examples/Squared_SVM_new.ipynb b/doc/source/examples/Squared_SVM_new.ipynb new file mode 100644 index 0000000..ad61fab --- /dev/null +++ b/doc/source/examples/Squared_SVM_new.ipynb @@ -0,0 +1,1180 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "tM4LA2VUOg-J" + }, + "source": [ + "# Squared SVM\n", + "[![Slides](https://img.shields.io/badge/🦌-ReHLine-blueviolet)](https://rehline-python.readthedocs.io/en/latest/)\n", + "\n", + "Squared SVMs solve the following optimization problem:\n", + "$$\n", + " \\min_{\\mathbf{\\beta} \\in \\mathbb{R}^d} \\ C \\sum_{i=1}^n \\left( 1 - y_i \\mathbf{\\beta}^\\intercal \\mathbf{x}_i \\right)_+^2 + \\frac{1}{2} \\| \\mathbf{\\beta} \\|_2^2\n", + "$$\n", + "where $\\mathbf{x}_i \\in \\mathbb{R}^d$ is a feature vector, and $y_i \\in \\{-1, 1\\}$ is a binary label.\n", + "\n", + "> **Note.** Since the squared hinge loss is a plq function, we can optimize it using `rehline.plq_Ridge_Classifier`. \n", + "> Moreover, this wrapper adapts the `plqERM_Ridge` into a classifier, compatible with the scikit-learn API.\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "rXs8JYXzTbJ5" + }, + "outputs": [], + "source": [ + "## install rehline\n", + "%pip install rehline -q" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "QvfFVk7WRUAb" + }, + "outputs": [], + "source": [ + "## set up plotting style\n", + "import seaborn as sns\n", + "import matplotlib.pyplot as plt\n", + "custom_palette = ['#FFE4E1', '#3D325C']\n", + "sns.set_palette(custom_palette)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "w08Rlr8La4Mv" + }, + "outputs": [], + "source": [ + "## simulate data\n", + "from sklearn.datasets import make_classification\n", + "from sklearn.preprocessing import StandardScaler\n", + "import numpy as np\n", + "\n", + "scaler = StandardScaler()\n", + "\n", + "n, d = 10000, 5\n", + "X, y = make_classification(n_samples=n, n_features=d, random_state=42)\n", + "y = 2*y - 1\n", + "X = scaler.fit_transform(X)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 80 + }, + "id": "MlOfn-UmRCuN", + "outputId": "6d9bb00a-1727-46b2-a26f-933ff00d120e" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
plq_Ridge_Classifier(loss={'name': 'squared SVM'})
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" + ], + "text/plain": [ + "plq_Ridge_Classifier(loss={'name': 'squared SVM'})" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "## solve Squared SVM via `plq_Ridge_Classifier`\n", + "from rehline import plq_Ridge_Classifier\n", + "\n", + "clf = plq_Ridge_Classifier(loss={'name': 'squared SVM'}, C=1.0)\n", + "clf.fit(X=X, y=y)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 451 + }, + "id": "mcbLDBYGRM4W", + "outputId": "3ebc7403-eaa7-4ebb-a8de-f03d4cc822a7" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import seaborn as sns\n", + "import pandas as pd\n", + "import warnings\n", + "import matplotlib.pyplot as plt\n", + "warnings.filterwarnings(\"ignore\", \"is_categorical_dtype\")\n", + "warnings.filterwarnings(\"ignore\", \"use_inf_as_na\")\n", + "\n", + "score = clf.decision_function(X)\n", + "df = pd.DataFrame({'score': score, 'y': y})\n", + "sns.histplot(df, x=\"score\", hue=\"y\").set_title('Squared SVM')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "UvbSX0zpTmBQ" + }, + "source": [ + "## With Pipeline\n", + "`plq_Ridge_Classifier` can be integrated into a scikit-learn Pipeline to streamline preprocessing including scaling." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "id": "1XPWQmcpSRYy" + }, + "outputs": [], + "source": [ + "## simulate data\n", + "from sklearn.datasets import make_classification\n", + "from sklearn.preprocessing import StandardScaler\n", + "from sklearn.pipeline import Pipeline\n", + "import numpy as np\n", + "\n", + "n, d = 10000, 5\n", + "X, y = make_classification(n_samples=n, n_features=d, random_state=42)\n", + "y = 2*y - 1" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 155 + }, + "id": "Hu-ipK_n1_Br", + "outputId": "8f82b4aa-1005-43e1-f118-f271092cb9a5" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
Pipeline(steps=[('scaler', StandardScaler()),\n",
+              "                ('clf', plq_Ridge_Classifier(loss={'name': 'squared SVM'}))])
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" + ], + "text/plain": [ + "Pipeline(steps=[('scaler', StandardScaler()),\n", + " ('clf', plq_Ridge_Classifier(loss={'name': 'squared SVM'}))])" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "## solve Squared SVM via `plq_Ridge_Classifier`\n", + "from rehline import plq_Ridge_Classifier\n", + "\n", + "pipe = Pipeline([\n", + " ('scaler', StandardScaler()),\n", + " ('clf', plq_Ridge_Classifier(loss={'name': 'squared SVM'}, C=1.0))\n", + "])\n", + "pipe.fit(X, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 451 + }, + "id": "WXuTX7ok2Drw", + "outputId": "f4f91f4a-fcf2-4fd1-aa0f-2a3667b924ff" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "## visualization\n", + "import seaborn as sns\n", + "import pandas as pd\n", + "import warnings\n", + "import matplotlib.pyplot as plt\n", + "warnings.filterwarnings(\"ignore\", \"is_categorical_dtype\")\n", + "warnings.filterwarnings(\"ignore\", \"use_inf_as_na\")\n", + "\n", + "score = pipe.decision_function(X)\n", + "df = pd.DataFrame({'score': score, 'y': y})\n", + "sns.histplot(df, x=\"score\", hue=\"y\").set_title('Squared SVM')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "kPvI0i7ITulZ" + }, + "source": [ + "## Hyperparameter Tuning with GridSearchCV\n", + "\n", + "Due to its compatibility with the scikit-learn API, `GridSearchCV` can be applied to determine the optimal hyperparameters for the ReHLine model." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "TtU2SbVUTuHO", + "outputId": "98f11567-7f4b-4093-c7d3-d6e1d7e74a2c" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best Parameters: {'clf__C': 0.1}\n", + "Best CV Accuracy: 0.8913\n" + ] + } + ], + "source": [ + "from sklearn.model_selection import GridSearchCV\n", + "from sklearn.exceptions import ConvergenceWarning\n", + "warnings.filterwarnings(\"ignore\", category=ConvergenceWarning)\n", + "\n", + "# Define the parameter grid to search\n", + "param_grid = {'clf__C': [0.1, 1.0, 10.0]}\n", + "\n", + "# Create the GridSearchCV object\n", + "grid_search = GridSearchCV(pipe, param_grid, cv=5)\n", + "grid_search.fit(X, y)\n", + "\n", + "# Print the best parameters and score\n", + "print(f\"Best Parameters: {grid_search.best_params_}\")\n", + "print(f\"Best CV Accuracy: {grid_search.best_score_:.4f}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 451 + }, + "id": "VqZ_R3h9T0kS", + "outputId": "37f42f06-9178-4464-83ff-ba24cdf7412e" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import seaborn as sns\n", + "import pandas as pd\n", + "import warnings\n", + "import matplotlib.pyplot as plt\n", + "warnings.filterwarnings(\"ignore\", \"is_categorical_dtype\")\n", + "warnings.filterwarnings(\"ignore\", \"use_inf_as_na\")\n", + "\n", + "score = grid_search.decision_function(X)\n", + "df = pd.DataFrame({'score': score, 'y': y})\n", + "sns.histplot(data=df, x=\"score\", hue=\"y\").set_title(\"Squared SVM (C=0.1)\")\n", + "plt.show()" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "name": "python" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/doc/source/tutorials/constraint.rst b/doc/source/tutorials/constraint.rst index 6c483ca..49e08eb 100644 --- a/doc/source/tutorials/constraint.rst +++ b/doc/source/tutorials/constraint.rst @@ -55,6 +55,7 @@ Constrains the correlation between predictions and sensitive attributes to be wi :name: fair-gallery ../examples/FairSVM.ipynb + ../examples/FairSVM_new.ipynb Monotonicity ^^^^^^^^^^^^ @@ -101,6 +102,12 @@ Define arbitrary linear constraints of the form :math:`A\beta + b \ge 0`. constraint = [{'name': 'custom', 'A': A, 'b': b}] +**Related Example** + +.. nblinkgallery:: + :name: custom-gallery + + ../examples/CustomQR.ipynb References ---------- diff --git a/doc/source/tutorials/loss.rst b/doc/source/tutorials/loss.rst index 1af7abe..85e0198 100644 --- a/doc/source/tutorials/loss.rst +++ b/doc/source/tutorials/loss.rst @@ -35,6 +35,7 @@ Standard Support Vector Machine loss [1]_. :name: svm-gallery ../examples/SVM.ipynb + ../examples/SVM_new.ipynb Smooth SVM ^^^^^^^^^^ @@ -72,6 +73,20 @@ Squared Hinge loss. :name: squared-svm-gallery ../examples/SVM.ipynb + ../examples/Squared_SVM_new.ipynb + +Compare SVM Losses with GridSearchCV +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +We compare three SVM-type losses: ``SVM``, ``Smooth SVM``, and ``Squared SVM`` with +``GridSearchCV`` and report the best-performing loss together with its optimal hyperparameter. + +**Related Example** + +.. nblinkgallery:: + :name: compare-svm-gallery + + ../examples/GridSearchCV_SVM_losses.ipynb Regression @@ -95,6 +110,7 @@ Minimizes the check loss (pinball loss) for estimating conditional quantiles [2] :name: qr-gallery ../examples/QR.ipynb + ../examples/QR_new.ipynb Quantile Regression with Epsilon Tolerance ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ @@ -115,6 +131,7 @@ Minimizes the check loss with an epsilon-insensitive zone for robust conditional :name: qr-eps-gallery ../examples/QR_eps.ipynb + ../examples/QR_eps_new.ipynb Huber Regression ^^^^^^^^^^^^^^^^ @@ -128,6 +145,14 @@ Robust regression loss that is quadratic for small errors and linear for large e loss = {'name': 'huber', 'tau': 1.0} +**Related Example** + +.. nblinkgallery:: + :name: huber-gallery + + ../examples/Huber_new.ipynb + + Support Vector Regression (SVR) ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ Epsilon-insensitive loss [4]_. @@ -146,6 +171,7 @@ Epsilon-insensitive loss [4]_. :name: svr-gallery ../examples/SVR.ipynb + ../examples/SVR_new.ipynb Mean Absolute Error (MAE) ^^^^^^^^^^^^^^^^^^^^^^^^^ @@ -158,6 +184,13 @@ L1 loss, robust to outliers. loss = {'name': 'mae'} +**Related Example** + +.. nblinkgallery:: + :name: mae-gallery + + ../examples/MAE_new.ipynb + Mean Squared Error (MSE) ^^^^^^^^^^^^^^^^^^^^^^^^ Standard L2 loss (Least Squares). @@ -169,6 +202,26 @@ Standard L2 loss (Least Squares). loss = {'name': 'mse'} +**Related Example** + +.. nblinkgallery:: + :name: mse-gallery + + ../examples/MSE_new.ipynb + +Compare Regression Losses with GridSearchCV +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +We compare three regression losses: ``Huber``, ``MAE``, and ``MSE`` with +``GridSearchCV`` and report the best-performing loss together with its optimal hyperparameter. + +**Related Example** + +.. nblinkgallery:: + :name: compare-reg-gallery + + ../examples/GridSearchCV_reg_losses.ipynb + References ----------