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author | Alexandre Gramfort <alexandre.gramfort@m4x.org> | 2020-04-23 10:58:13 +0200 |
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committer | Alexandre Gramfort <alexandre.gramfort@m4x.org> | 2020-04-23 10:58:13 +0200 |
commit | ee9d233302cbe007a87563ac468f53a6d0c346a4 (patch) | |
tree | acfa9b7570c69897fbc08efdd649f66ae045933c /docs/source/auto_examples/plot_OT_1D.rst | |
parent | 73db416784c400eccb5cdea0b3a00ac4bd68c595 (diff) | |
parent | 8ca4d301b8110d02acc18c51e3ecd1de0c87049b (diff) |
Merge branch 'rm_travis' of github.com:agramfort/POT into rm_travis
Diffstat (limited to 'docs/source/auto_examples/plot_OT_1D.rst')
-rw-r--r-- | docs/source/auto_examples/plot_OT_1D.rst | 228 |
1 files changed, 0 insertions, 228 deletions
diff --git a/docs/source/auto_examples/plot_OT_1D.rst b/docs/source/auto_examples/plot_OT_1D.rst deleted file mode 100644 index ec21845..0000000 --- a/docs/source/auto_examples/plot_OT_1D.rst +++ /dev/null @@ -1,228 +0,0 @@ -.. only:: html - - .. note:: - :class: sphx-glr-download-link-note - - Click :ref:`here <sphx_glr_download_auto_examples_plot_OT_1D.py>` to download the full example code - .. rst-class:: sphx-glr-example-title - - .. _sphx_glr_auto_examples_plot_OT_1D.py: - - -==================== -1D optimal transport -==================== - -This example illustrates the computation of EMD and Sinkhorn transport plans -and their visualization. - - - -.. code-block:: default - - - # Author: Remi Flamary <remi.flamary@unice.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) - - # 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() - - - - -.. image:: /auto_examples/images/sphx_glr_plot_OT_1D_001.png - :class: sphx-glr-single-img - - -.. rst-class:: sphx-glr-script-out - - Out: - - .. code-block:: none - - - <matplotlib.legend.Legend object at 0x7f4c75f9fcc0> - - - - -.. code-block:: default - - - pl.figure(2, figsize=(5, 5)) - ot.plot.plot1D_mat(a, b, M, 'Cost matrix M') - - - - -.. image:: /auto_examples/images/sphx_glr_plot_OT_1D_002.png - :class: sphx-glr-single-img - - - - - -Solve EMD ---------- - - -.. code-block:: default - - - G0 = ot.emd(a, b, M) - - pl.figure(3, figsize=(5, 5)) - ot.plot.plot1D_mat(a, b, G0, 'OT matrix G0') - - - - -.. image:: /auto_examples/images/sphx_glr_plot_OT_1D_003.png - :class: sphx-glr-single-img - - - - - -Solve Sinkhorn --------------- - - -.. code-block:: default - - - lambd = 1e-3 - Gs = ot.sinkhorn(a, b, M, lambd, verbose=True) - - pl.figure(4, figsize=(5, 5)) - ot.plot.plot1D_mat(a, b, Gs, 'OT matrix Sinkhorn') - - pl.show() - - - -.. image:: /auto_examples/images/sphx_glr_plot_OT_1D_004.png - :class: sphx-glr-single-img - - -.. rst-class:: sphx-glr-script-out - - Out: - - .. code-block:: none - - It. |Err - ------------------- - 0|2.861463e-01| - 10|1.860154e-01| - 20|8.144529e-02| - 30|3.130143e-02| - 40|1.178815e-02| - 50|4.426078e-03| - 60|1.661047e-03| - 70|6.233110e-04| - 80|2.338932e-04| - 90|8.776627e-05| - 100|3.293340e-05| - 110|1.235791e-05| - 120|4.637176e-06| - 130|1.740051e-06| - 140|6.529356e-07| - 150|2.450071e-07| - 160|9.193632e-08| - 170|3.449812e-08| - 180|1.294505e-08| - 190|4.857493e-09| - It. |Err - ------------------- - 200|1.822723e-09| - 210|6.839572e-10| - /home/rflamary/PYTHON/POT/examples/plot_OT_1D.py:84: 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 0.665 seconds) - - -.. _sphx_glr_download_auto_examples_plot_OT_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_OT_1D.py <plot_OT_1D.py>` - - - - .. container:: sphx-glr-download sphx-glr-download-jupyter - - :download:`Download Jupyter notebook: plot_OT_1D.ipynb <plot_OT_1D.ipynb>` - - -.. only:: html - - .. rst-class:: sphx-glr-signature - - `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_ |