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-
-
-.. _sphx_glr_auto_examples_plot_OTDA_2D.py:
-
-
-==============================
-OT for empirical distributions
-==============================
-
-
-
-
-
-.. rst-class:: sphx-glr-horizontal
-
-
- *
-
- .. image:: /auto_examples/images/sphx_glr_plot_OTDA_2D_001.png
- :scale: 47
-
- *
-
- .. image:: /auto_examples/images/sphx_glr_plot_OTDA_2D_002.png
- :scale: 47
-
- *
-
- .. image:: /auto_examples/images/sphx_glr_plot_OTDA_2D_003.png
- :scale: 47
-
- *
-
- .. image:: /auto_examples/images/sphx_glr_plot_OTDA_2D_004.png
- :scale: 47
-
-
-
-
-
-.. code-block:: python
-
-
- import numpy as np
- import matplotlib.pylab as pl
- import ot
-
-
-
- #%% parameters
-
- n=150 # nb bins
-
- xs,ys=ot.datasets.get_data_classif('3gauss',n)
- xt,yt=ot.datasets.get_data_classif('3gauss2',n)
-
- a,b = ot.unif(n),ot.unif(n)
- # loss matrix
- M=ot.dist(xs,xt)
- #M/=M.max()
-
- #%% plot samples
-
- pl.figure(1)
-
- pl.subplot(2,2,1)
- pl.scatter(xs[:,0],xs[:,1],c=ys,marker='+',label='Source samples')
- pl.legend(loc=0)
- pl.title('Source distributions')
-
- pl.subplot(2,2,2)
- pl.scatter(xt[:,0],xt[:,1],c=yt,marker='o',label='Target samples')
- pl.legend(loc=0)
- pl.title('target distributions')
-
- pl.figure(2)
- pl.imshow(M,interpolation='nearest')
- pl.title('Cost matrix M')
-
-
- #%% OT estimation
-
- # EMD
- G0=ot.emd(a,b,M)
-
- # sinkhorn
- lambd=1e-1
- Gs=ot.sinkhorn(a,b,M,lambd)
-
-
- # Group lasso regularization
- reg=1e-1
- eta=1e0
- Gg=ot.da.sinkhorn_lpl1_mm(a,ys.astype(np.int),b,M,reg,eta)
-
-
- #%% visu matrices
-
- pl.figure(3)
-
- pl.subplot(2,3,1)
- pl.imshow(G0,interpolation='nearest')
- pl.title('OT matrix ')
-
- pl.subplot(2,3,2)
- pl.imshow(Gs,interpolation='nearest')
- pl.title('OT matrix Sinkhorn')
-
- pl.subplot(2,3,3)
- pl.imshow(Gg,interpolation='nearest')
- pl.title('OT matrix Group lasso')
-
- pl.subplot(2,3,4)
- ot.plot.plot2D_samples_mat(xs,xt,G0,c=[.5,.5,1])
- pl.scatter(xs[:,0],xs[:,1],c=ys,marker='+',label='Source samples')
- pl.scatter(xt[:,0],xt[:,1],c=yt,marker='o',label='Target samples')
-
-
- pl.subplot(2,3,5)
- ot.plot.plot2D_samples_mat(xs,xt,Gs,c=[.5,.5,1])
- pl.scatter(xs[:,0],xs[:,1],c=ys,marker='+',label='Source samples')
- pl.scatter(xt[:,0],xt[:,1],c=yt,marker='o',label='Target samples')
-
- pl.subplot(2,3,6)
- ot.plot.plot2D_samples_mat(xs,xt,Gg,c=[.5,.5,1])
- pl.scatter(xs[:,0],xs[:,1],c=ys,marker='+',label='Source samples')
- pl.scatter(xt[:,0],xt[:,1],c=yt,marker='o',label='Target samples')
-
- #%% sample interpolation
-
- xst0=n*G0.dot(xt)
- xsts=n*Gs.dot(xt)
- xstg=n*Gg.dot(xt)
-
- pl.figure(4)
- pl.subplot(2,3,1)
-
-
- pl.scatter(xt[:,0],xt[:,1],c=yt,marker='o',label='Target samples',alpha=0.5)
- pl.scatter(xst0[:,0],xst0[:,1],c=ys,marker='+',label='Transp samples',s=30)
- pl.title('Interp samples')
- pl.legend(loc=0)
-
- pl.subplot(2,3,2)
-
-
- pl.scatter(xt[:,0],xt[:,1],c=yt,marker='o',label='Target samples',alpha=0.5)
- pl.scatter(xsts[:,0],xsts[:,1],c=ys,marker='+',label='Transp samples',s=30)
- pl.title('Interp samples Sinkhorn')
-
- pl.subplot(2,3,3)
-
- pl.scatter(xt[:,0],xt[:,1],c=yt,marker='o',label='Target samples',alpha=0.5)
- pl.scatter(xstg[:,0],xstg[:,1],c=ys,marker='+',label='Transp samples',s=30)
- pl.title('Interp samples Grouplasso')
-**Total running time of the script:** ( 0 minutes 17.372 seconds)
-
-
-
-.. container:: sphx-glr-footer
-
-
- .. container:: sphx-glr-download
-
- :download:`Download Python source code: plot_OTDA_2D.py <plot_OTDA_2D.py>`
-
-
-
- .. container:: sphx-glr-download
-
- :download:`Download Jupyter notebook: plot_OTDA_2D.ipynb <plot_OTDA_2D.ipynb>`
-
-.. rst-class:: sphx-glr-signature
-
- `Generated by Sphinx-Gallery <http://sphinx-gallery.readthedocs.io>`_