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diff --git a/docs/source/auto_examples/plot_OT_1D_smooth.rst b/docs/source/auto_examples/plot_OT_1D_smooth.rst deleted file mode 100644 index de42689..0000000 --- a/docs/source/auto_examples/plot_OT_1D_smooth.rst +++ /dev/null @@ -1,282 +0,0 @@ -.. only:: html - - .. note:: - :class: sphx-glr-download-link-note - - Click :ref:`here <sphx_glr_download_auto_examples_plot_OT_1D_smooth.py>` to download the full example code - .. rst-class:: sphx-glr-example-title - - .. _sphx_glr_auto_examples_plot_OT_1D_smooth.py: - - -=========================== -1D smooth optimal transport -=========================== - -This example illustrates the computation of EMD, Sinkhorn and smooth OT 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_smooth_001.png - :class: sphx-glr-single-img - - -.. rst-class:: sphx-glr-script-out - - Out: - - .. code-block:: none - - - <matplotlib.legend.Legend object at 0x7f4c738a51d0> - - - - -.. 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_smooth_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_smooth_003.png - :class: sphx-glr-single-img - - - - - -Solve Sinkhorn --------------- - - -.. code-block:: default - - - lambd = 2e-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_smooth_004.png - :class: sphx-glr-single-img - - -.. rst-class:: sphx-glr-script-out - - Out: - - .. code-block:: none - - It. |Err - ------------------- - 0|2.821142e-01| - 10|7.695268e-02| - 20|1.112774e-02| - 30|1.571553e-03| - 40|2.218100e-04| - 50|3.130527e-05| - 60|4.418267e-06| - 70|6.235716e-07| - 80|8.800770e-08| - 90|1.242095e-08| - 100|1.753030e-09| - 110|2.474136e-10| - /home/rflamary/PYTHON/POT/examples/plot_OT_1D_smooth.py:84: UserWarning: Matplotlib is currently using agg, which is a non-GUI backend, so cannot show the figure. - pl.show() - - - - -Solve Smooth OT --------------- - - -.. code-block:: default - - - lambd = 2e-3 - Gsm = ot.smooth.smooth_ot_dual(a, b, M, lambd, reg_type='kl') - - pl.figure(5, figsize=(5, 5)) - ot.plot.plot1D_mat(a, b, Gsm, 'OT matrix Smooth OT KL reg.') - - pl.show() - - - - - -.. image:: /auto_examples/images/sphx_glr_plot_OT_1D_smooth_005.png - :class: sphx-glr-single-img - - -.. rst-class:: sphx-glr-script-out - - Out: - - .. code-block:: none - - /home/rflamary/PYTHON/POT/examples/plot_OT_1D_smooth.py:99: UserWarning: Matplotlib is currently using agg, which is a non-GUI backend, so cannot show the figure. - pl.show() - - - - - -.. code-block:: default - - - lambd = 1e-1 - Gsm = ot.smooth.smooth_ot_dual(a, b, M, lambd, reg_type='l2') - - pl.figure(6, figsize=(5, 5)) - ot.plot.plot1D_mat(a, b, Gsm, 'OT matrix Smooth OT l2 reg.') - - pl.show() - - - -.. image:: /auto_examples/images/sphx_glr_plot_OT_1D_smooth_006.png - :class: sphx-glr-single-img - - -.. rst-class:: sphx-glr-script-out - - Out: - - .. code-block:: none - - /home/rflamary/PYTHON/POT/examples/plot_OT_1D_smooth.py:110: 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 0.732 seconds) - - -.. _sphx_glr_download_auto_examples_plot_OT_1D_smooth.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_smooth.py <plot_OT_1D_smooth.py>` - - - - .. container:: sphx-glr-download sphx-glr-download-jupyter - - :download:`Download Jupyter notebook: plot_OT_1D_smooth.ipynb <plot_OT_1D_smooth.ipynb>` - - -.. only:: html - - .. rst-class:: sphx-glr-signature - - `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_ |