ci: Add a link checkers for the doc and markdown files

.github/workflows/tests.yml

@@ -77,6 +77,35 @@ jobs:
         working-directory: docs
         run: uv run make dirhtml
 
+  check-links:
+    name: Check no link is broken
+    runs-on: ubuntu-latest
+    steps:
+      - name: Checkout code
+        uses: actions/checkout@v4
+
+      # This will restore the cache for the current commit if it exists, or the most recent lychee
+      # cache otherwise (including those saved for the main branch). It will also save the cache for
+      # the current commit if none existed for it, and only if the link check succeeded. We don't
+      # want to save a cache when the action failed, because the reason for failure might be
+      # temporary (rate limiting, network issue, etc.), and we always want to retry those links
+      # everytime this action is run.
+      - name: Restore lychee cache
+        uses: actions/cache@v4
+        with:
+          path: .lycheecache
+          key: cache-lychee-${{ github.sha }}
+          restore-keys: cache-lychee-
+
+      - name: Run lychee
+        uses: lycheeverse/lychee-action@v2
+        with:
+          args: --verbose --no-progress --cache --max-cache-age 1d "." --exclude-path "docs/source/_templates/page.html"
+          fail: true
+        env:
+          # This reduces false positives due to rate limits
+          GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
+
   mypy:
     name: Run mypy
     runs-on: ubuntu-latest

CHANGELOG.md

@@ -299,7 +299,7 @@ Informed Neural Networks](https://arxiv.org/pdf/2408.11104).
   - `Aggregator` base class to aggregate Jacobian matrices.
   - `AlignedMTL` from [Independent Component
       Alignment for Multi-Task Learning](
-      https://openaccess.thecvf.com/content/CVPR2023/papers/Senushkin_Independent_Component_Alignment_for_Multi-Task_Learning_CVPR_2023_paper.pdf>).
+      https://openaccess.thecvf.com/content/CVPR2023/papers/Senushkin_Independent_Component_Alignment_for_Multi-Task_Learning_CVPR_2023_paper.pdf).
   - `CAGrad` from [Conflict-Averse Gradient Descent for Multi-task
       Learning](https://arxiv.org/pdf/2110.14048.pdf).
   - `Constant` to aggregate with constant weights.

README.md

@@ -63,13 +63,13 @@ There are two main ways to use TorchJD. The first one is to replace the usual ca
 [`torchjd.autojac.mtl_backward`](https://torchjd.org/stable/docs/autojac/mtl_backward/), depending
 on the use-case. This will compute the Jacobian of the vector of losses with respect to the model
 parameters, and aggregate it with the specified
-[`Aggregator`](https://torchjd.org/stable/docs/aggregation/index.html#torchjd.aggregation.Aggregator).
+[`Aggregator`](https://torchjd.org/stable/docs/aggregation#torchjd.aggregation.Aggregator).
 Whenever you want to optimize the vector of per-sample losses, you should rather use the
-[`torchjd.autogram.Engine`](https://torchjd.org/stable/docs/autogram/engine.html). Instead of
+[`torchjd.autogram.Engine`](https://torchjd.org/stable/docs/autogram/engine/). Instead of
 computing the full Jacobian at once, it computes the Gramian of this Jacobian, layer by layer, in a
 memory-efficient way. A vector of weights (one per element of the batch) can then be extracted from
 this Gramian, using a
-[`Weighting`](https://torchjd.org/stable/docs/aggregation/index.html#torchjd.aggregation.Weighting),
+[`Weighting`](https://torchjd.org/stable/docs/aggregation#torchjd.aggregation.Weighting),
 and used to combine the losses of the batch. Assuming each element of the batch is
 processed independently from the others, this approach is equivalent to
 [`torchjd.autojac.backward`](https://torchjd.org/stable/docs/autojac/backward/) while being
@@ -210,7 +210,7 @@ for input, target1, target2 in zip(inputs, task1_targets, task2_targets):
 > [!NOTE]
 > Here,  because the losses are a matrix instead of a simple vector, we compute a *generalized
 > Gramian* and we extract weights from it using a
-> [GeneralizedWeighting](https://torchjd.org/docs/aggregation/index.html#torchjd.aggregation.GeneralizedWeighting).
+> [GeneralizedWeighting](https://torchjd.org/stable/docs/aggregation/#torchjd.aggregation.GeneralizedWeighting).
 
 More usage examples can be found [here](https://torchjd.org/stable/examples/).
 
@@ -220,7 +220,7 @@ TorchJD provides many existing aggregators from the literature, listed in the fo
 <!-- recommended aggregators first, then alphabetical order -->
 | Aggregator                                                                                                 | Weighting                                                                                                              | Publication                                                                                                                                                          |
 |------------------------------------------------------------------------------------------------------------|------------------------------------------------------------------------------------------------------------------------|----------------------------------------------------------------------------------------------------------------------------------------------------------------------|
-| [UPGrad](https://torchjd.org/stable/docs/aggregation/upgrad.html#torchjd.aggregation.UPGrad) (recommended) | [UPGradWeighting](https://torchjd.org/stable/docs/aggregation/upgrad#torchjd.aggregation.UPGradWeighting)              | [Jacobian Descent For Multi-Objective Optimization](https://arxiv.org/pdf/2406.16232)                                                                                |
+| [UPGrad](https://torchjd.org/stable/docs/aggregation/upgrad/#torchjd.aggregation.UPGrad) (recommended) | [UPGradWeighting](https://torchjd.org/stable/docs/aggregation/upgrad/#torchjd.aggregation.UPGradWeighting)              | [Jacobian Descent For Multi-Objective Optimization](https://arxiv.org/pdf/2406.16232)                                                                                |
 | [AlignedMTL](https://torchjd.org/stable/docs/aggregation/aligned_mtl#torchjd.aggregation.AlignedMTL)       | [AlignedMTLWeighting](https://torchjd.org/stable/docs/aggregation/aligned_mtl#torchjd.aggregation.AlignedMTLWeighting) | [Independent Component Alignment for Multi-Task Learning](https://arxiv.org/pdf/2305.19000)                                                                          |
 | [CAGrad](https://torchjd.org/stable/docs/aggregation/cagrad#torchjd.aggregation.CAGrad)                    | [CAGradWeighting](https://torchjd.org/stable/docs/aggregation/cagrad#torchjd.aggregation.CAGradWeighting)              | [Conflict-Averse Gradient Descent for Multi-task Learning](https://arxiv.org/pdf/2110.14048)                                                                         |
 | [ConFIG](https://torchjd.org/stable/docs/aggregation/config#torchjd.aggregation.ConFIG)                    | -                                                                                                                      | [ConFIG: Towards Conflict-free Training of Physics Informed Neural Networks](https://arxiv.org/pdf/2408.11104)                                                       |

src/torchjd/aggregation/_aligned_mtl.py

@@ -51,8 +51,8 @@ class AlignedMTL(GramianWeightedAggregator):
         uses the mean eigenvalue (as in the original implementation).
 
     .. note::
-        This implementation was adapted from the `official implementation
-        <https://github.com/SamsungLabs/MTL/tree/master/code/optim/aligned>`_.
+        This implementation was adapted from the official implementation of SamsungLabs/MTL,
+        which is not available anymore at the time of writing.
     """
 
     def __init__(

src/torchjd/aggregation/_mgda.py

@@ -11,8 +11,9 @@ class MGDA(GramianWeightedAggregator):
     r"""
     :class:`~torchjd.aggregation._aggregator_bases.Aggregator` performing the gradient aggregation
     step of `Multiple-gradient descent algorithm (MGDA) for multiobjective optimization
-    <https://www.sciencedirect.com/science/article/pii/S1631073X12000738>`_. The implementation is
-    based on Algorithm 2 of `Multi-Task Learning as Multi-Objective Optimization
+    <https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2012.03.014/>`_.
+    The implementation is based on Algorithm 2 of `Multi-Task Learning as Multi-Objective
+    Optimization
     <https://proceedings.neurips.cc/paper_files/paper/2018/file/432aca3a1e345e339f35a30c8f65edce-Paper.pdf>`_.
 
     :param epsilon: The value of :math:`\hat{\gamma}` below which we stop the optimization.