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-.. only:: html
-
- .. note::
- :class: sphx-glr-download-link-note
-
- Click :ref:`here <sphx_glr_download_auto_examples_plot_otda_classes.py>` to download the full example code
- .. rst-class:: sphx-glr-example-title
-
- .. _sphx_glr_auto_examples_plot_otda_classes.py:
-
-
-========================
-OT for domain adaptation
-========================
-
-This example introduces a domain adaptation in a 2D setting and the 4 OTDA
-approaches currently supported in POT.
-
-
-
-.. code-block:: default
-
-
- # Authors: Remi Flamary <remi.flamary@unice.fr>
- # Stanislas Chambon <stan.chambon@gmail.com>
- #
- # License: MIT License
-
- import matplotlib.pylab as pl
- import ot
-
-
-
-
-
-
-
-
-Generate data
--------------
-
-
-.. code-block:: default
-
-
- n_source_samples = 150
- n_target_samples = 150
-
- Xs, ys = ot.datasets.make_data_classif('3gauss', n_source_samples)
- Xt, yt = ot.datasets.make_data_classif('3gauss2', n_target_samples)
-
-
-
-
-
-
-
-
-
-Instantiate the different transport algorithms and fit them
------------------------------------------------------------
-
-
-.. code-block:: default
-
-
- # EMD Transport
- ot_emd = ot.da.EMDTransport()
- ot_emd.fit(Xs=Xs, Xt=Xt)
-
- # Sinkhorn Transport
- ot_sinkhorn = ot.da.SinkhornTransport(reg_e=1e-1)
- ot_sinkhorn.fit(Xs=Xs, Xt=Xt)
-
- # Sinkhorn Transport with Group lasso regularization
- ot_lpl1 = ot.da.SinkhornLpl1Transport(reg_e=1e-1, reg_cl=1e0)
- ot_lpl1.fit(Xs=Xs, ys=ys, Xt=Xt)
-
- # Sinkhorn Transport with Group lasso regularization l1l2
- ot_l1l2 = ot.da.SinkhornL1l2Transport(reg_e=1e-1, reg_cl=2e0, max_iter=20,
- verbose=True)
- ot_l1l2.fit(Xs=Xs, ys=ys, Xt=Xt)
-
- # transport source samples onto target samples
- transp_Xs_emd = ot_emd.transform(Xs=Xs)
- transp_Xs_sinkhorn = ot_sinkhorn.transform(Xs=Xs)
- transp_Xs_lpl1 = ot_lpl1.transform(Xs=Xs)
- transp_Xs_l1l2 = ot_l1l2.transform(Xs=Xs)
-
-
-
-
-
-
-.. rst-class:: sphx-glr-script-out
-
- Out:
-
- .. code-block:: none
-
- It. |Loss |Relative loss|Absolute loss
- ------------------------------------------------
- 0|9.484039e+00|0.000000e+00|0.000000e+00
- 1|1.976107e+00|3.799355e+00|7.507932e+00
- 2|1.749871e+00|1.292876e-01|2.262365e-01
- 3|1.692667e+00|3.379504e-02|5.720374e-02
- 4|1.676256e+00|9.790077e-03|1.641068e-02
- 5|1.667458e+00|5.276422e-03|8.798212e-03
- 6|1.661775e+00|3.419693e-03|5.682762e-03
- 7|1.658009e+00|2.271789e-03|3.766646e-03
- 8|1.655167e+00|1.716870e-03|2.841707e-03
- 9|1.651825e+00|2.023380e-03|3.342270e-03
- 10|1.649431e+00|1.451076e-03|2.393450e-03
- 11|1.648649e+00|4.742894e-04|7.819369e-04
- 12|1.647901e+00|4.538219e-04|7.478538e-04
- 13|1.647356e+00|3.313134e-04|5.457909e-04
- 14|1.646923e+00|2.627246e-04|4.326871e-04
- 15|1.646038e+00|5.375014e-04|8.847478e-04
- 16|1.645629e+00|2.483240e-04|4.086492e-04
- 17|1.645616e+00|8.248172e-06|1.357332e-05
- 18|1.645377e+00|1.452648e-04|2.390153e-04
- 19|1.644745e+00|3.838976e-04|6.314139e-04
- It. |Loss |Relative loss|Absolute loss
- ------------------------------------------------
- 20|1.644164e+00|3.538439e-04|5.817773e-04
-
-
-
-
-Fig 1 : plots source and target samples
----------------------------------------
-
-
-.. code-block:: default
-
-
- pl.figure(1, figsize=(10, 5))
- pl.subplot(1, 2, 1)
- pl.scatter(Xs[:, 0], Xs[:, 1], c=ys, marker='+', label='Source samples')
- pl.xticks([])
- pl.yticks([])
- pl.legend(loc=0)
- pl.title('Source samples')
-
- pl.subplot(1, 2, 2)
- pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o', label='Target samples')
- pl.xticks([])
- pl.yticks([])
- pl.legend(loc=0)
- pl.title('Target samples')
- pl.tight_layout()
-
-
-
-
-
-.. image:: /auto_examples/images/sphx_glr_plot_otda_classes_001.png
- :class: sphx-glr-single-img
-
-
-
-
-
-Fig 2 : plot optimal couplings and transported samples
-------------------------------------------------------
-
-
-.. code-block:: default
-
-
- param_img = {'interpolation': 'nearest'}
-
- pl.figure(2, figsize=(15, 8))
- pl.subplot(2, 4, 1)
- pl.imshow(ot_emd.coupling_, **param_img)
- pl.xticks([])
- pl.yticks([])
- pl.title('Optimal coupling\nEMDTransport')
-
- pl.subplot(2, 4, 2)
- pl.imshow(ot_sinkhorn.coupling_, **param_img)
- pl.xticks([])
- pl.yticks([])
- pl.title('Optimal coupling\nSinkhornTransport')
-
- pl.subplot(2, 4, 3)
- pl.imshow(ot_lpl1.coupling_, **param_img)
- pl.xticks([])
- pl.yticks([])
- pl.title('Optimal coupling\nSinkhornLpl1Transport')
-
- pl.subplot(2, 4, 4)
- pl.imshow(ot_l1l2.coupling_, **param_img)
- pl.xticks([])
- pl.yticks([])
- pl.title('Optimal coupling\nSinkhornL1l2Transport')
-
- pl.subplot(2, 4, 5)
- pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',
- label='Target samples', alpha=0.3)
- pl.scatter(transp_Xs_emd[:, 0], transp_Xs_emd[:, 1], c=ys,
- marker='+', label='Transp samples', s=30)
- pl.xticks([])
- pl.yticks([])
- pl.title('Transported samples\nEmdTransport')
- pl.legend(loc="lower left")
-
- pl.subplot(2, 4, 6)
- pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',
- label='Target samples', alpha=0.3)
- pl.scatter(transp_Xs_sinkhorn[:, 0], transp_Xs_sinkhorn[:, 1], c=ys,
- marker='+', label='Transp samples', s=30)
- pl.xticks([])
- pl.yticks([])
- pl.title('Transported samples\nSinkhornTransport')
-
- pl.subplot(2, 4, 7)
- pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',
- label='Target samples', alpha=0.3)
- pl.scatter(transp_Xs_lpl1[:, 0], transp_Xs_lpl1[:, 1], c=ys,
- marker='+', label='Transp samples', s=30)
- pl.xticks([])
- pl.yticks([])
- pl.title('Transported samples\nSinkhornLpl1Transport')
-
- pl.subplot(2, 4, 8)
- pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',
- label='Target samples', alpha=0.3)
- pl.scatter(transp_Xs_l1l2[:, 0], transp_Xs_l1l2[:, 1], c=ys,
- marker='+', label='Transp samples', s=30)
- pl.xticks([])
- pl.yticks([])
- pl.title('Transported samples\nSinkhornL1l2Transport')
- pl.tight_layout()
-
- pl.show()
-
-
-
-.. image:: /auto_examples/images/sphx_glr_plot_otda_classes_002.png
- :class: sphx-glr-single-img
-
-
-.. rst-class:: sphx-glr-script-out
-
- Out:
-
- .. code-block:: none
-
- /home/rflamary/PYTHON/POT/examples/plot_otda_classes.py:149: 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 2.083 seconds)
-
-
-.. _sphx_glr_download_auto_examples_plot_otda_classes.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_otda_classes.py <plot_otda_classes.py>`
-
-
-
- .. container:: sphx-glr-download sphx-glr-download-jupyter
-
- :download:`Download Jupyter notebook: plot_otda_classes.ipynb <plot_otda_classes.ipynb>`
-
-
-.. only:: html
-
- .. rst-class:: sphx-glr-signature
-
- `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_