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+# -*- coding: utf-8 -*-
+"""
+===============================================
+demo of Optimal transport for domain adaptation
+===============================================
+
+"""
+
+import matplotlib.pylab as pl
+import ot
+
+
+
+#%% parameters
+
+n=150 # nb samples in source and target datasets
+
+xs,ys=ot.datasets.get_data_classif('3gauss',n)
+xt,yt=ot.datasets.get_data_classif('3gauss2',n)
+
+
+
+
+#%% 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')
+
+
+#%% OT estimation
+
+# LP problem
+da_emd=ot.da.OTDA() # init class
+da_emd.fit(xs,xt) # fit distributions
+xst0=da_emd.interp() # interpolation of source samples
+
+
+# sinkhorn regularization
+lambd=1e-1
+da_entrop=ot.da.OTDA_sinkhorn()
+da_entrop.fit(xs,xt,reg=lambd)
+xsts=da_entrop.interp()
+
+# non-convex Group lasso regularization
+reg=1e-1
+eta=1e0
+da_lpl1=ot.da.OTDA_lpl1()
+da_lpl1.fit(xs,ys,xt,reg=reg,eta=eta)
+xstg=da_lpl1.interp()
+
+
+# True Group lasso regularization
+reg=1e-1
+eta=2e0
+da_l1l2=ot.da.OTDA_l1l2()
+da_l1l2.fit(xs,ys,xt,reg=reg,eta=eta,numItermax=20,verbose=True)
+xstgl=da_l1l2.interp()
+
+
+#%% plot interpolated source samples
+pl.figure(4,(15,8))
+
+param_img={'interpolation':'nearest','cmap':'jet'}
+
+pl.subplot(2,4,1)
+pl.imshow(da_emd.G,**param_img)
+pl.title('OT matrix')
+
+
+pl.subplot(2,4,2)
+pl.imshow(da_entrop.G,**param_img)
+pl.title('OT matrix sinkhorn')
+
+pl.subplot(2,4,3)
+pl.imshow(da_lpl1.G,**param_img)
+pl.title('OT matrix non-convex Group Lasso')
+
+pl.subplot(2,4,4)
+pl.imshow(da_l1l2.G,**param_img)
+pl.title('OT matrix Group Lasso')
+
+
+pl.subplot(2,4,5)
+pl.scatter(xt[:,0],xt[:,1],c=yt,marker='o',label='Target samples',alpha=0.3)
+pl.scatter(xst0[:,0],xst0[:,1],c=ys,marker='+',label='Transp samples',s=30)
+pl.title('Interp samples')
+pl.legend(loc=0)
+
+pl.subplot(2,4,6)
+pl.scatter(xt[:,0],xt[:,1],c=yt,marker='o',label='Target samples',alpha=0.3)
+pl.scatter(xsts[:,0],xsts[:,1],c=ys,marker='+',label='Transp samples',s=30)
+pl.title('Interp samples Sinkhorn')
+
+pl.subplot(2,4,7)
+pl.scatter(xt[:,0],xt[:,1],c=yt,marker='o',label='Target samples',alpha=0.3)
+pl.scatter(xstg[:,0],xstg[:,1],c=ys,marker='+',label='Transp samples',s=30)
+pl.title('Interp samples non-convex Group Lasso')
+
+pl.subplot(2,4,8)
+pl.scatter(xt[:,0],xt[:,1],c=yt,marker='o',label='Target samples',alpha=0.3)
+pl.scatter(xstgl[:,0],xstgl[:,1],c=ys,marker='+',label='Transp samples',s=30)
+pl.title('Interp samples Group Lasso') \ No newline at end of file