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-
-
-.. _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:: python
-
-
- # 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:: python
-
-
- 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:: python
-
-
- # 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::
-
- It. |Loss |Delta loss
- --------------------------------
- 0|9.566309e+00|0.000000e+00
- 1|2.169680e+00|-3.409088e+00
- 2|1.914989e+00|-1.329986e-01
- 3|1.860251e+00|-2.942498e-02
- 4|1.838073e+00|-1.206621e-02
- 5|1.827064e+00|-6.025122e-03
- 6|1.820899e+00|-3.386082e-03
- 7|1.817290e+00|-1.985705e-03
- 8|1.814644e+00|-1.458223e-03
- 9|1.812661e+00|-1.093816e-03
- 10|1.810239e+00|-1.338121e-03
- 11|1.809100e+00|-6.296940e-04
- 12|1.807939e+00|-6.420646e-04
- 13|1.806965e+00|-5.389118e-04
- 14|1.806822e+00|-7.889599e-05
- 15|1.806193e+00|-3.482356e-04
- 16|1.805735e+00|-2.536930e-04
- 17|1.805321e+00|-2.292667e-04
- 18|1.804389e+00|-5.170222e-04
- 19|1.803908e+00|-2.661907e-04
- It. |Loss |Delta loss
- --------------------------------
- 20|1.803696e+00|-1.178279e-04
-
-
-Fig 1 : plots source and target samples
----------------------------------------
-
-
-
-.. code-block:: python
-
-
- 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
- :align: center
-
-
-
-
-Fig 2 : plot optimal couplings and transported samples
-------------------------------------------------------
-
-
-
-.. code-block:: python
-
-
- 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_003.png
- :align: center
-
-
-
-
-**Total running time of the script:** ( 0 minutes 1.423 seconds)
-
-
-
-.. only :: html
-
- .. container:: sphx-glr-footer
-
-
- .. container:: sphx-glr-download
-
- :download:`Download Python source code: plot_otda_classes.py <plot_otda_classes.py>`
-
-
-
- .. container:: sphx-glr-download
-
- :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.readthedocs.io>`_