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| author | Rémi Flamary <remi.flamary@gmail.com> | 2019-07-02 11:01:53 +0200 |
|---|---|---|
| committer | Rémi Flamary <remi.flamary@gmail.com> | 2019-07-02 11:01:53 +0200 |
| commit | b250212448ed3c1d023a6412abf4a3395d5585fb (patch) | |
| tree | db474d60005e68dcb866cbf84b1e2c13e2151996 | |
| parent | 82d10f780fc296b9f5548e1fe1da9b20349b1e10 (diff) | |
wasserstein barycenetr with fixed support
| -rw-r--r-- | docs/source/quickstart.rst | 18 |
1 files changed, 13 insertions, 5 deletions
diff --git a/docs/source/quickstart.rst b/docs/source/quickstart.rst index 94bc8cd..7cbc962 100644 --- a/docs/source/quickstart.rst +++ b/docs/source/quickstart.rst @@ -220,8 +220,14 @@ More details about the algorithm used is given in the following note. Recently [23]_ introduced the sinkhorn divergence that build from entropic -regularization to compute fast and differentiable geometric diveregnce between -empirical distributions. +regularization to compute fast and differentiable geometric divergence between +empirical distributions. Note that we provide a function that compute directly +(with no need to pre compute the :code:`M` matrix) +the sinkhorn divergence for empirical distributions in +:any:`ot.bregman.empirical_sinkhorn_divergence`. Similarly one can compute the +OT matrix and loss for empirical distributions with respectively +:any:`ot.bregman.empirical_sinkhorn` and :any:`ot.bregman.empirical_sinkhorn2`. + @@ -389,19 +395,21 @@ parallel. In addition to teh speedup brought by regularization, one can also greatly accelerate the estimation of Wasserstein barycenter when the support has a -separable structure [21]_. In teh case of 2D images for instance one can replace +separable structure [21]_. In the case of 2D images for instance one can replace the matrix vector production in teh bregman projections by convolution operators. We provide an implementation of this algorithm in function :any:`ot.bregman.convolutional_barycenter2d`. .. hint:: - Example of Wasserstein (:any:`ot.lp.barycenter`) and regularized wassrestein + Example of Wasserstein (:any:`ot.lp.barycenter`) and regularized Wasserstein barycenter (:any:`ot.bregman.barycenter`) computation are available in the following examples: - :any:`auto_examples/plot_barycenter_1D` - :any:`auto_examples/plot_barycenter_lp_vs_entropic` - Example of convolutional barycenter (:any:`ot.bregman.convolutional_barycenter2d`) computation for 2D images is available + Example of convolutional barycenter + (:any:`ot.bregman.convolutional_barycenter2d`) computation + for 2D images is available in the following example: - :any:`auto_examples/plot_convolutional_barycenter` |