:orphan:

Examples gallery
================

This is a gallery of all the POT example files. 


OT and regularized OT
---------------------


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    <div class="sphx-glr-thumbnails">


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    <div class="sphx-glr-thumbcontainer" tooltip="This example illustrates the computation of EMD and Sinkhorn transport plans and their visualiz...">

.. only:: html

  .. image:: /auto_examples/images/thumb/sphx_glr_plot_OT_1D_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plot_OT_1D.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Optimal Transport for 1D distributions</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example illustrates the computation of EMD, Sinkhorn and smooth OT plans and their visuali...">

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  .. image:: /auto_examples/images/thumb/sphx_glr_plot_OT_1D_smooth_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plot_OT_1D_smooth.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Smooth optimal transport example</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Illustrates the use of the generic solver for regularized OT with user-designed regularization ...">

.. only:: html

  .. image:: /auto_examples/images/thumb/sphx_glr_plot_optim_OTreg_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plot_optim_OTreg.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Regularized OT with generic solver</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Illustration of 2D optimal transport between discributions that are weighted sum of diracs. The...">

.. only:: html

  .. image:: /auto_examples/images/thumb/sphx_glr_plot_OT_2D_samples_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plot_OT_2D_samples.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Optimal Transport between 2D empirical distributions</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Shows how to compute multiple Wassersein and Sinkhorn with two different ground metrics and plo...">

.. only:: html

  .. image:: /auto_examples/images/thumb/sphx_glr_plot_compute_emd_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plot_compute_emd.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">OT distances in 1D</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Shows how to compute the Wasserstein distance on the circle">

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  .. image:: /auto_examples/images/thumb/sphx_glr_plot_compute_wasserstein_circle_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plot_compute_wasserstein_circle.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">OT distance on the Circle</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="2D OT on empirical distributio  with different ground metric.">

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  .. image:: /auto_examples/images/thumb/sphx_glr_plot_OT_L1_vs_L2_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plot_OT_L1_vs_L2.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Optimal Transport with different gournd metrics</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example gives an introduction on how to use Optimal Transport in Python.">

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  .. image:: /auto_examples/images/thumb/sphx_glr_plot_Intro_OT_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plot_Intro_OT.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Introduction to Optimal Transport with Python</div>
    </div>


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    </div>


.. toctree::
   :hidden:

   /auto_examples/plot_OT_1D
   /auto_examples/plot_OT_1D_smooth
   /auto_examples/plot_optim_OTreg
   /auto_examples/plot_OT_2D_samples
   /auto_examples/plot_compute_emd
   /auto_examples/plot_compute_wasserstein_circle
   /auto_examples/plot_OT_L1_vs_L2
   /auto_examples/plot_Intro_OT



POT backend examples
--------------------


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    <div class="sphx-glr-thumbnails">


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    <div class="sphx-glr-thumbcontainer" tooltip="In this example we estimate mixing parameters from distributions that minimize the Wasserstein ...">

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  .. image:: /auto_examples/backends/images/thumb/sphx_glr_plot_unmix_optim_torch_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_backends_plot_unmix_optim_torch.py`

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      <div class="sphx-glr-thumbnail-title">Wasserstein unmixing with PyTorch</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Here, we aim at transforming samples into a uniform distribution on the sphere by minimizing SS...">

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  .. image:: /auto_examples/backends/images/thumb/sphx_glr_plot_ssw_unif_torch_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_backends_plot_ssw_unif_torch.py`

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      <div class="sphx-glr-thumbnail-title">Spherical Sliced-Wasserstein Embedding on Sphere</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Dual OT solvers for entropic and quadratic regularized OT with Pytorch">

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  .. image:: /auto_examples/backends/images/thumb/sphx_glr_plot_dual_ot_pytorch_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_backends_plot_dual_ot_pytorch.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Dual OT solvers for entropic and quadratic regularized OT with Pytorch</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="In this small example, we consider the following minimization problem:">

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  .. image:: /auto_examples/backends/images/thumb/sphx_glr_plot_wass1d_torch_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_backends_plot_wass1d_torch.py`

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      <div class="sphx-glr-thumbnail-title">Wasserstein 1D (flow and barycenter) with PyTorch</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="In this example we train a Wasserstein GAN using Wasserstein 2 on minibatches as a distribution...">

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  .. image:: /auto_examples/backends/images/thumb/sphx_glr_plot_wass2_gan_torch_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_backends_plot_wass2_gan_torch.py`

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      <div class="sphx-glr-thumbnail-title">Wasserstein 2 Minibatch GAN with PyTorch</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="In this exemple we use the pytorch backend to optimize the sliced Wasserstein loss between two ...">

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  .. image:: /auto_examples/backends/images/thumb/sphx_glr_plot_sliced_wass_grad_flow_pytorch_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_backends_plot_sliced_wass_grad_flow_pytorch.py`

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      <div class="sphx-glr-thumbnail-title">Sliced Wasserstein barycenter and gradient flow with PyTorch</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Continuous OT plan estimation with Pytorch">

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  .. image:: /auto_examples/backends/images/thumb/sphx_glr_plot_stoch_continuous_ot_pytorch_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_backends_plot_stoch_continuous_ot_pytorch.py`

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      <div class="sphx-glr-thumbnail-title">Continuous OT plan estimation with Pytorch</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="In this example, we use the pytorch backend to optimize the Gromov-Wasserstein (GW) loss betwee...">

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  .. image:: /auto_examples/backends/images/thumb/sphx_glr_plot_optim_gromov_pytorch_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_backends_plot_optim_gromov_pytorch.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Optimizing the Gromov-Wasserstein distance with PyTorch</div>
    </div>


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    </div>


.. toctree::
   :hidden:

   /auto_examples/backends/plot_unmix_optim_torch
   /auto_examples/backends/plot_ssw_unif_torch
   /auto_examples/backends/plot_dual_ot_pytorch
   /auto_examples/backends/plot_wass1d_torch
   /auto_examples/backends/plot_wass2_gan_torch
   /auto_examples/backends/plot_sliced_wass_grad_flow_pytorch
   /auto_examples/backends/plot_stoch_continuous_ot_pytorch
   /auto_examples/backends/plot_optim_gromov_pytorch



Wasserstein barycenters
-----------------------


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    <div class="sphx-glr-thumbnails">


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    <div class="sphx-glr-thumbcontainer" tooltip="This example is designed to illustrate how the Convolutional Wasserstein Barycenter function of...">

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  .. image:: /auto_examples/barycenters/images/thumb/sphx_glr_plot_convolutional_barycenter_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_barycenters_plot_convolutional_barycenter.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Convolutional Wasserstein Barycenter example</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Illustration of 2D Wasserstein and Sinkhorn barycenters if distributions are weighted sum of di...">

.. only:: html

  .. image:: /auto_examples/barycenters/images/thumb/sphx_glr_plot_free_support_barycenter_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_barycenters_plot_free_support_barycenter.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">2D free support Wasserstein barycenters of distributions</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example illustrates the computation of regularized Wassersyein Barycenter as proposed in [...">

.. only:: html

  .. image:: /auto_examples/barycenters/images/thumb/sphx_glr_plot_barycenter_1D_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_barycenters_plot_barycenter_1D.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">1D Wasserstein barycenter demo</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example illustrates the computation of the debiased Sinkhorn barycenter as proposed in [37...">

.. only:: html

  .. image:: /auto_examples/barycenters/images/thumb/sphx_glr_plot_debiased_barycenter_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_barycenters_plot_debiased_barycenter.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Debiased Sinkhorn barycenter demo</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example illustrates the computation of Generalized Wasserstein Barycenter as proposed in [...">

.. only:: html

  .. image:: /auto_examples/barycenters/images/thumb/sphx_glr_plot_generalized_free_support_barycenter_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_barycenters_plot_generalized_free_support_barycenter.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Generalized Wasserstein Barycenter Demo</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Illustration of Sinkhorn barycenter calculation between empirical distributions understood as p...">

.. only:: html

  .. image:: /auto_examples/barycenters/images/thumb/sphx_glr_plot_free_support_sinkhorn_barycenter_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_barycenters_plot_free_support_sinkhorn_barycenter.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">2D free support Sinkhorn barycenters of distributions</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example illustrates the computation of regularized Wasserstein Barycenter as proposed in [...">

.. only:: html

  .. image:: /auto_examples/barycenters/images/thumb/sphx_glr_plot_barycenter_lp_vs_entropic_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_barycenters_plot_barycenter_lp_vs_entropic.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">1D Wasserstein barycenter: exact LP vs entropic regularization</div>
    </div>


.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_examples/barycenters/plot_convolutional_barycenter
   /auto_examples/barycenters/plot_free_support_barycenter
   /auto_examples/barycenters/plot_barycenter_1D
   /auto_examples/barycenters/plot_debiased_barycenter
   /auto_examples/barycenters/plot_generalized_free_support_barycenter
   /auto_examples/barycenters/plot_free_support_sinkhorn_barycenter
   /auto_examples/barycenters/plot_barycenter_lp_vs_entropic




Domain adaptation examples
--------------------------


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    <div class="sphx-glr-thumbnails">


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    <div class="sphx-glr-thumbcontainer" tooltip="Linear OT mapping estimation">

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  .. image:: /auto_examples/domain-adaptation/images/thumb/sphx_glr_plot_otda_linear_mapping_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_domain-adaptation_plot_otda_linear_mapping.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Linear OT mapping estimation</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example introduces a domain adaptation in a 2D setting and OTDA approach with Laplacian re...">

.. only:: html

  .. image:: /auto_examples/domain-adaptation/images/thumb/sphx_glr_plot_otda_laplacian_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_domain-adaptation_plot_otda_laplacian.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">OT with Laplacian regularization for domain adaptation</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example presents a way of transferring colors between two images with Optimal Transport as...">

.. only:: html

  .. image:: /auto_examples/domain-adaptation/images/thumb/sphx_glr_plot_otda_color_images_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_domain-adaptation_plot_otda_color_images.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">OT for image color adaptation</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example presents how to use MappingTransport to estimate at the same time both the couplin...">

.. only:: html

  .. image:: /auto_examples/domain-adaptation/images/thumb/sphx_glr_plot_otda_mapping_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_domain-adaptation_plot_otda_mapping.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">OT mapping estimation for domain adaptation</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="OT for domain adaptation with image color adaptation [6] with mapping estimation [8].">

.. only:: html

  .. image:: /auto_examples/domain-adaptation/images/thumb/sphx_glr_plot_otda_mapping_colors_images_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_domain-adaptation_plot_otda_mapping_colors_images.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">OT for image color adaptation with mapping estimation</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example introduces a semi supervised domain adaptation in a 2D setting. It explicits the p...">

.. only:: html

  .. image:: /auto_examples/domain-adaptation/images/thumb/sphx_glr_plot_otda_semi_supervised_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_domain-adaptation_plot_otda_semi_supervised.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">OTDA unsupervised vs semi-supervised setting</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example introduces a domain adaptation in a 2D setting and the 4 OTDA approaches currently...">

.. only:: html

  .. image:: /auto_examples/domain-adaptation/images/thumb/sphx_glr_plot_otda_classes_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_domain-adaptation_plot_otda_classes.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">OT for domain adaptation</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example introduces a domain adaptation in a 2D setting. It explicits the problem of domain...">

.. only:: html

  .. image:: /auto_examples/domain-adaptation/images/thumb/sphx_glr_plot_otda_d2_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_domain-adaptation_plot_otda_d2.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">OT for domain adaptation on empirical distributions</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example introduces a target shift problem with two 2D source and 1 target domain.">

.. only:: html

  .. image:: /auto_examples/domain-adaptation/images/thumb/sphx_glr_plot_otda_jcpot_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_domain-adaptation_plot_otda_jcpot.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">OT for multi-source target shift</div>
    </div>


.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_examples/domain-adaptation/plot_otda_linear_mapping
   /auto_examples/domain-adaptation/plot_otda_laplacian
   /auto_examples/domain-adaptation/plot_otda_color_images
   /auto_examples/domain-adaptation/plot_otda_mapping
   /auto_examples/domain-adaptation/plot_otda_mapping_colors_images
   /auto_examples/domain-adaptation/plot_otda_semi_supervised
   /auto_examples/domain-adaptation/plot_otda_classes
   /auto_examples/domain-adaptation/plot_otda_d2
   /auto_examples/domain-adaptation/plot_otda_jcpot



Gromov and Fused-Gromov-Wasserstein
-----------------------------------


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    <div class="sphx-glr-thumbnails">


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Gromov-Wasserstein example">

.. only:: html

  .. image:: /auto_examples/gromov/images/thumb/sphx_glr_plot_gromov_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_gromov_plot_gromov.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Gromov-Wasserstein example</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example illustrates the computation of FGW for 1D measures [18].">

.. only:: html

  .. image:: /auto_examples/gromov/images/thumb/sphx_glr_plot_fgw_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_gromov_plot_fgw.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Plot Fused-gromov-Wasserstein</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example illustrates the computation barycenter of labeled graphs using FGW [18].">

.. only:: html

  .. image:: /auto_examples/gromov/images/thumb/sphx_glr_plot_barycenter_fgw_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_gromov_plot_barycenter_fgw.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Plot graphs barycenter using FGW</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example is designed to show how to use the Gromov-Wasserstein distance computation in POT.">

.. only:: html

  .. image:: /auto_examples/gromov/images/thumb/sphx_glr_plot_gromov_barycenter_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_gromov_plot_gromov_barycenter.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Gromov-Wasserstein Barycenter example</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example is designed to show how to use the semi-relaxed Gromov-Wasserstein and the semi-re...">

.. only:: html

  .. image:: /auto_examples/gromov/images/thumb/sphx_glr_plot_semirelaxed_fgw_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_gromov_plot_semirelaxed_fgw.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Semi-relaxed (Fused) Gromov-Wasserstein example</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="In this exemple, we illustrate how to learn a Gromov-Wasserstein dictionary on a dataset of str...">

.. only:: html

  .. image:: /auto_examples/gromov/images/thumb/sphx_glr_plot_gromov_wasserstein_dictionary_learning_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_gromov_plot_gromov_wasserstein_dictionary_learning.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">(Fused) Gromov-Wasserstein Linear Dictionary Learning</div>
    </div>


.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_examples/gromov/plot_gromov
   /auto_examples/gromov/plot_fgw
   /auto_examples/gromov/plot_barycenter_fgw
   /auto_examples/gromov/plot_gromov_barycenter
   /auto_examples/gromov/plot_semirelaxed_fgw
   /auto_examples/gromov/plot_gromov_wasserstein_dictionary_learning




Other OT problems
-----------------


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    <div class="sphx-glr-thumbnails">


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    <div class="sphx-glr-thumbcontainer" tooltip="This example illustrates the computation of Screenkhorn [26].">

.. only:: html

  .. image:: /auto_examples/others/images/thumb/sphx_glr_plot_screenkhorn_1D_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_others_plot_screenkhorn_1D.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Screened optimal transport (Screenkhorn)</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Illustration of 2D optimal transport between distributions that are weighted sum of diracs. The...">

.. only:: html

  .. image:: /auto_examples/others/images/thumb/sphx_glr_plot_WeakOT_VS_OT_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_others_plot_WeakOT_VS_OT.py`

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      <div class="sphx-glr-thumbnail-title">Weak Optimal Transport VS exact Optimal Transport</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Illustration of the factored coupling OT between 2D empirical distributions">

.. only:: html

  .. image:: /auto_examples/others/images/thumb/sphx_glr_plot_factored_coupling_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_others_plot_factored_coupling.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Optimal transport with factored couplings</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example is designed to show how to use the CO-Optimal Transport [47]_ in POT. CO-Optimal T...">

.. only:: html

  .. image:: /auto_examples/others/images/thumb/sphx_glr_plot_COOT_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_others_plot_COOT.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Row and column alignments with CO-Optimal Transport</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example illustrate the use of WDA as proposed in [11].">

.. only:: html

  .. image:: /auto_examples/others/images/thumb/sphx_glr_plot_WDA_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_others_plot_WDA.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Wasserstein Discriminant Analysis</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example is designed to show how to use the stochatic optimization algorithms for discrete ...">

.. only:: html

  .. image:: /auto_examples/others/images/thumb/sphx_glr_plot_stochastic_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_others_plot_stochastic.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Stochastic examples</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="In this example we plot the logo of the POT toolbox.">

.. only:: html

  .. image:: /auto_examples/others/images/thumb/sphx_glr_plot_logo_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_others_plot_logo.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Logo of the POT toolbox</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="In this example, we illustrate how to estimate the sample marginal distribution which minimizes...">

.. only:: html

  .. image:: /auto_examples/others/images/thumb/sphx_glr_plot_learning_weights_with_COOT_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_others_plot_learning_weights_with_COOT.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Learning sample marginal distribution with CO-Optimal Transport</div>
    </div>


.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_examples/others/plot_screenkhorn_1D
   /auto_examples/others/plot_WeakOT_VS_OT
   /auto_examples/others/plot_factored_coupling
   /auto_examples/others/plot_COOT
   /auto_examples/others/plot_WDA
   /auto_examples/others/plot_stochastic
   /auto_examples/others/plot_logo
   /auto_examples/others/plot_learning_weights_with_COOT



Sliced Wasserstein Distance
---------------------------



.. raw:: html

    <div class="sphx-glr-thumbnails">


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example illustrates the computation of the sliced Wasserstein Distance as proposed in [31]...">

.. only:: html

  .. image:: /auto_examples/sliced-wasserstein/images/thumb/sphx_glr_plot_variance_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_sliced-wasserstein_plot_variance.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Sliced Wasserstein Distance on 2D distributions</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example illustrates the computation of the spherical sliced Wasserstein discrepancy as pro...">

.. only:: html

  .. image:: /auto_examples/sliced-wasserstein/images/thumb/sphx_glr_plot_variance_ssw_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_sliced-wasserstein_plot_variance_ssw.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Spherical Sliced Wasserstein on distributions in S^2</div>
    </div>


.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_examples/sliced-wasserstein/plot_variance
   /auto_examples/sliced-wasserstein/plot_variance_ssw


Unbalanced and Partial OT
-------------------------


.. raw:: html

    <div class="sphx-glr-thumbnails">


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example illustrates the computation of Unbalanced Optimal transport using a Kullback-Leibl...">

.. only:: html

  .. image:: /auto_examples/unbalanced-partial/images/thumb/sphx_glr_plot_UOT_1D_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_unbalanced-partial_plot_UOT_1D.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">1D Unbalanced optimal transport</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="UOT aims at solving the following optimization problem:">

.. only:: html

  .. image:: /auto_examples/unbalanced-partial/images/thumb/sphx_glr_plot_unbalanced_OT_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_unbalanced-partial_plot_unbalanced_OT.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">2D examples of exact and entropic unbalanced optimal transport</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example illustrates the computation of regularized Wassersyein Barycenter as proposed in [...">

.. only:: html

  .. image:: /auto_examples/unbalanced-partial/images/thumb/sphx_glr_plot_UOT_barycenter_1D_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_unbalanced-partial_plot_UOT_barycenter_1D.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">1D Wasserstein barycenter demo for Unbalanced distributions</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example is designed to show how to use the Partial (Gromov-)Wasserstein distance computati...">

.. only:: html

  .. image:: /auto_examples/unbalanced-partial/images/thumb/sphx_glr_plot_partial_wass_and_gromov_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_unbalanced-partial_plot_partial_wass_and_gromov.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Partial Wasserstein and Gromov-Wasserstein example</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="[Chapel et al., 2021] Chapel, L., Flamary, R., Wu, H., Févotte, C., and Gasso, G. (2021). Unbal...">

.. only:: html

  .. image:: /auto_examples/unbalanced-partial/images/thumb/sphx_glr_plot_regpath_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_unbalanced-partial_plot_regpath.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Regularization path of l2-penalized unbalanced optimal transport</div>
    </div>


.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_examples/unbalanced-partial/plot_UOT_1D
   /auto_examples/unbalanced-partial/plot_unbalanced_OT
   /auto_examples/unbalanced-partial/plot_UOT_barycenter_1D
   /auto_examples/unbalanced-partial/plot_partial_wass_and_gromov
   /auto_examples/unbalanced-partial/plot_regpath


.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-gallery

    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download all examples in Python source code: auto_examples_python.zip </auto_examples/auto_examples_python.zip>`

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download all examples in Jupyter notebooks: auto_examples_jupyter.zip </auto_examples/auto_examples_jupyter.zip>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_