.. _sphx_glr_auto_examples_barycenters:



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


.. raw:: html

    <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: Convolutional Wasserstein Barycenter example

  :ref:`sphx_glr_auto_examples_barycenters_plot_convolutional_barycenter.py`

.. raw:: html

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


.. raw:: html

    <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: 2D free support Wasserstein barycenters of distributions

  :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>


.. 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/barycenters/images/thumb/sphx_glr_plot_barycenter_1D_thumb.png
    :alt: 1D Wasserstein barycenter demo

  :ref:`sphx_glr_auto_examples_barycenters_plot_barycenter_1D.py`

.. raw:: html

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


.. raw:: html

    <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: Debiased Sinkhorn barycenter demo

  :ref:`sphx_glr_auto_examples_barycenters_plot_debiased_barycenter.py`

.. raw:: html

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


.. raw:: html

    <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: Generalized Wasserstein Barycenter Demo

  :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: 2D free support Sinkhorn barycenters of distributions

  :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: 1D Wasserstein barycenter: exact LP vs entropic regularization

  :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