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authorRĂ©mi Flamary <remi.flamary@gmail.com>2020-04-21 17:48:37 +0200
committerGitHub <noreply@github.com>2020-04-21 17:48:37 +0200
commita303cc6b483d3cd958c399621e22e40574bcbbc8 (patch)
treedea049cb692020462da8f00d9e117f93b839bb55 /docs/source/auto_examples/plot_UOT_1D.rst
parent0b2d808aaebb1cab60a272ea7901d5f77df43a9f (diff)
[MRG] Actually run sphinx-gallery (#146)
* generate gallery * remove mock * add sklearn to requirermnt?txt for example * remove latex from fgw example * add networks for graph example * remove all * add requirement.txt rtd * rtd debug * update readme * eradthedoc with redirection * add conf rtd
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-.. only:: html
-
- .. note::
- :class: sphx-glr-download-link-note
-
- Click :ref:`here <sphx_glr_download_auto_examples_plot_UOT_1D.py>` to download the full example code
- .. rst-class:: sphx-glr-example-title
-
- .. _sphx_glr_auto_examples_plot_UOT_1D.py:
-
-
-===============================
-1D Unbalanced optimal transport
-===============================
-
-This example illustrates the computation of Unbalanced Optimal transport
-using a Kullback-Leibler relaxation.
-
-
-.. code-block:: default
-
-
- # Author: Hicham Janati <hicham.janati@inria.fr>
- #
- # License: MIT License
-
- import numpy as np
- import matplotlib.pylab as pl
- import ot
- import ot.plot
- from ot.datasets import make_1D_gauss as gauss
-
-
-
-
-
-
-
-
-Generate data
--------------
-
-
-.. code-block:: default
-
-
- n = 100 # nb bins
-
- # bin positions
- x = np.arange(n, dtype=np.float64)
-
- # Gaussian distributions
- a = gauss(n, m=20, s=5) # m= mean, s= std
- b = gauss(n, m=60, s=10)
-
- # make distributions unbalanced
- b *= 5.
-
- # loss matrix
- M = ot.dist(x.reshape((n, 1)), x.reshape((n, 1)))
- M /= M.max()
-
-
-
-
-
-
-
-
-
-Plot distributions and loss matrix
-----------------------------------
-
-
-.. code-block:: default
-
-
- pl.figure(1, figsize=(6.4, 3))
- pl.plot(x, a, 'b', label='Source distribution')
- pl.plot(x, b, 'r', label='Target distribution')
- pl.legend()
-
- # plot distributions and loss matrix
-
- pl.figure(2, figsize=(5, 5))
- ot.plot.plot1D_mat(a, b, M, 'Cost matrix M')
-
-
-
-
-
-.. rst-class:: sphx-glr-horizontal
-
-
- *
-
- .. image:: /auto_examples/images/sphx_glr_plot_UOT_1D_001.png
- :class: sphx-glr-multi-img
-
- *
-
- .. image:: /auto_examples/images/sphx_glr_plot_UOT_1D_002.png
- :class: sphx-glr-multi-img
-
-
-
-
-
-Solve Unbalanced Sinkhorn
---------------
-
-
-.. code-block:: default
-
-
-
- # Sinkhorn
-
- epsilon = 0.1 # entropy parameter
- alpha = 1. # Unbalanced KL relaxation parameter
- Gs = ot.unbalanced.sinkhorn_unbalanced(a, b, M, epsilon, alpha, verbose=True)
-
- pl.figure(4, figsize=(5, 5))
- ot.plot.plot1D_mat(a, b, Gs, 'UOT matrix Sinkhorn')
-
- pl.show()
-
-
-
-.. image:: /auto_examples/images/sphx_glr_plot_UOT_1D_003.png
- :class: sphx-glr-single-img
-
-
-.. rst-class:: sphx-glr-script-out
-
- Out:
-
- .. code-block:: none
-
- /home/rflamary/PYTHON/POT/examples/plot_UOT_1D.py:76: UserWarning: Matplotlib is currently using agg, which is a non-GUI backend, so cannot show the figure.
- pl.show()
-
-
-
-
-
-.. rst-class:: sphx-glr-timing
-
- **Total running time of the script:** ( 0 minutes 0.274 seconds)
-
-
-.. _sphx_glr_download_auto_examples_plot_UOT_1D.py:
-
-
-.. only :: html
-
- .. container:: sphx-glr-footer
- :class: sphx-glr-footer-example
-
-
-
- .. container:: sphx-glr-download sphx-glr-download-python
-
- :download:`Download Python source code: plot_UOT_1D.py <plot_UOT_1D.py>`
-
-
-
- .. container:: sphx-glr-download sphx-glr-download-jupyter
-
- :download:`Download Jupyter notebook: plot_UOT_1D.ipynb <plot_UOT_1D.ipynb>`
-
-
-.. only:: html
-
- .. rst-class:: sphx-glr-signature
-
- `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_