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-.. only:: html
-
- .. note::
- :class: sphx-glr-download-link-note
-
- Click :ref:`here <sphx_glr_download_auto_examples_plot_otda_laplacian.py>` to download the full example code
- .. rst-class:: sphx-glr-example-title
-
- .. _sphx_glr_auto_examples_plot_otda_laplacian.py:
-
-
-======================================================
-OT with Laplacian regularization for domain adaptation
-======================================================
-
-This example introduces a domain adaptation in a 2D setting and OTDA
-approach with Laplacian regularization.
-
-
-
-.. code-block:: default
-
-
- # Authors: Ievgen Redko <ievgen.redko@univ-st-etienne.fr>
-
- # 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=.01)
- ot_sinkhorn.fit(Xs=Xs, Xt=Xt)
-
- # EMD Transport with Laplacian regularization
- ot_emd_laplace = ot.da.EMDLaplaceTransport(reg_lap=100, reg_src=1)
- ot_emd_laplace.fit(Xs=Xs, 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_emd_laplace = ot_emd_laplace.transform(Xs=Xs)
-
-
-
-
-
-
-
-
-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_laplacian_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, 3, 1)
- pl.imshow(ot_emd.coupling_, **param_img)
- pl.xticks([])
- pl.yticks([])
- pl.title('Optimal coupling\nEMDTransport')
-
- pl.figure(2, figsize=(15, 8))
- pl.subplot(2, 3, 2)
- pl.imshow(ot_sinkhorn.coupling_, **param_img)
- pl.xticks([])
- pl.yticks([])
- pl.title('Optimal coupling\nSinkhornTransport')
-
- pl.subplot(2, 3, 3)
- pl.imshow(ot_emd_laplace.coupling_, **param_img)
- pl.xticks([])
- pl.yticks([])
- pl.title('Optimal coupling\nEMDLaplaceTransport')
-
- pl.subplot(2, 3, 4)
- 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, 3, 5)
- 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, 3, 6)
- pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',
- label='Target samples', alpha=0.3)
- pl.scatter(transp_Xs_emd_laplace[:, 0], transp_Xs_emd_laplace[:, 1], c=ys,
- marker='+', label='Transp samples', s=30)
- pl.xticks([])
- pl.yticks([])
- pl.title('Transported samples\nEMDLaplaceTransport')
- pl.tight_layout()
-
- pl.show()
-
-
-
-.. image:: /auto_examples/images/sphx_glr_plot_otda_laplacian_002.png
- :class: sphx-glr-single-img
-
-
-.. rst-class:: sphx-glr-script-out
-
- Out:
-
- .. code-block:: none
-
- /home/rflamary/PYTHON/POT/examples/plot_otda_laplacian.py:127: 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 1.195 seconds)
-
-
-.. _sphx_glr_download_auto_examples_plot_otda_laplacian.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_laplacian.py <plot_otda_laplacian.py>`
-
-
-
- .. container:: sphx-glr-download sphx-glr-download-jupyter
-
- :download:`Download Jupyter notebook: plot_otda_laplacian.ipynb <plot_otda_laplacian.ipynb>`
-
-
-.. only:: html
-
- .. rst-class:: sphx-glr-signature
-
- `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_