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-.. only:: html
-
- .. note::
- :class: sphx-glr-download-link-note
-
- Click :ref:`here <sphx_glr_download_auto_examples_plot_screenkhorn_1D.py>` to download the full example code
- .. rst-class:: sphx-glr-example-title
-
- .. _sphx_glr_auto_examples_plot_screenkhorn_1D.py:
-
-
-===============================
-1D Screened optimal transport
-===============================
-
-This example illustrates the computation of Screenkhorn:
-Screening Sinkhorn Algorithm for Optimal transport.
-
-
-.. code-block:: default
-
-
- # Author: Mokhtar Z. Alaya <mokhtarzahdi.alaya@gmail.com>
- #
- # License: MIT License
-
- import numpy as np
- import matplotlib.pylab as pl
- import ot.plot
- from ot.datasets import make_1D_gauss as gauss
- from ot.bregman import screenkhorn
-
-
-
-
-
-
-
-
-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)
-
- # 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_screenkhorn_1D_001.png
- :class: sphx-glr-multi-img
-
- *
-
- .. image:: /auto_examples/images/sphx_glr_plot_screenkhorn_1D_002.png
- :class: sphx-glr-multi-img
-
-
-
-
-
-Solve Screenkhorn
------------------------
-
-
-.. code-block:: default
-
-
- # Screenkhorn
- lambd = 2e-03 # entropy parameter
- ns_budget = 30 # budget number of points to be keeped in the source distribution
- nt_budget = 30 # budget number of points to be keeped in the target distribution
-
- G_screen = screenkhorn(a, b, M, lambd, ns_budget, nt_budget, uniform=False, restricted=True, verbose=True)
- pl.figure(4, figsize=(5, 5))
- ot.plot.plot1D_mat(a, b, G_screen, 'OT matrix Screenkhorn')
- pl.show()
-
-
-
-.. image:: /auto_examples/images/sphx_glr_plot_screenkhorn_1D_003.png
- :class: sphx-glr-single-img
-
-
-.. rst-class:: sphx-glr-script-out
-
- Out:
-
- .. code-block:: none
-
- /home/rflamary/PYTHON/POT/ot/bregman.py:2056: UserWarning: Bottleneck module is not installed. Install it from https://pypi.org/project/Bottleneck/ for better performance.
- "Bottleneck module is not installed. Install it from https://pypi.org/project/Bottleneck/ for better performance.")
- epsilon = 0.020986042861303855
-
- kappa = 3.7476531411890917
-
- Cardinality of selected points: |Isel| = 30 |Jsel| = 30
-
- /home/rflamary/PYTHON/POT/examples/plot_screenkhorn_1D.py:68: 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 0.228 seconds)
-
-
-.. _sphx_glr_download_auto_examples_plot_screenkhorn_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_screenkhorn_1D.py <plot_screenkhorn_1D.py>`
-
-
-
- .. container:: sphx-glr-download sphx-glr-download-jupyter
-
- :download:`Download Jupyter notebook: plot_screenkhorn_1D.ipynb <plot_screenkhorn_1D.ipynb>`
-
-
-.. only:: html
-
- .. rst-class:: sphx-glr-signature
-
- `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_