From e458b7a58d9790e7c5ff40dea235402d9c4c8662 Mon Sep 17 00:00:00 2001
From: Rémi Flamary <remi.flamary@gmail.com>
Date: Fri, 2 Dec 2016 15:38:59 +0100
Subject: add doc for gallery

---
 .../auto_examples/demo_OT_2D_sampleslarge.py       | 78 ++++++++++++++++++++++
 1 file changed, 78 insertions(+)
 create mode 100644 docs/source/auto_examples/demo_OT_2D_sampleslarge.py

(limited to 'docs/source/auto_examples/demo_OT_2D_sampleslarge.py')

diff --git a/docs/source/auto_examples/demo_OT_2D_sampleslarge.py b/docs/source/auto_examples/demo_OT_2D_sampleslarge.py
new file mode 100644
index 0000000..ee3e8f7
--- /dev/null
+++ b/docs/source/auto_examples/demo_OT_2D_sampleslarge.py
@@ -0,0 +1,78 @@
+# -*- coding: utf-8 -*-
+"""
+Demo for 2D Optimal transport between empirical distributions
+
+@author: rflamary
+"""
+
+import numpy as np
+import matplotlib.pylab as pl
+import ot
+
+#%% parameters and data generation
+
+n=5000 # nb samples
+
+mu_s=np.array([0,0])
+cov_s=np.array([[1,0],[0,1]])
+
+mu_t=np.array([4,4])
+cov_t=np.array([[1,-.8],[-.8,1]])
+
+xs=ot.datasets.get_2D_samples_gauss(n,mu_s,cov_s)
+xt=ot.datasets.get_2D_samples_gauss(n,mu_t,cov_t)
+
+a,b = ot.unif(n),ot.unif(n) # uniform distribution on samples
+
+# loss matrix
+M=ot.dist(xs,xt)
+M/=M.max()
+
+#%% plot samples
+
+#pl.figure(1)
+#pl.plot(xs[:,0],xs[:,1],'+b',label='Source samples')
+#pl.plot(xt[:,0],xt[:,1],'xr',label='Target samples')
+#pl.legend(loc=0)
+#pl.title('Source and traget distributions')
+#
+#pl.figure(2)
+#pl.imshow(M,interpolation='nearest')
+#pl.title('Cost matrix M')
+#
+
+#%% EMD
+
+G0=ot.emd(a,b,M)
+
+#pl.figure(3)
+#pl.imshow(G0,interpolation='nearest')
+#pl.title('OT matrix G0')
+#
+#pl.figure(4)
+#ot.plot.plot2D_samples_mat(xs,xt,G0,c=[.5,.5,1])
+#pl.plot(xs[:,0],xs[:,1],'+b',label='Source samples')
+#pl.plot(xt[:,0],xt[:,1],'xr',label='Target samples')
+#pl.legend(loc=0)
+#pl.title('OT matrix with samples')
+
+
+#%% sinkhorn
+
+# reg term
+lambd=5e-3
+
+Gs=ot.sinkhorn(a,b,M,lambd)
+
+#pl.figure(5)
+#pl.imshow(Gs,interpolation='nearest')
+#pl.title('OT matrix sinkhorn')
+#
+#pl.figure(6)
+#ot.plot.plot2D_samples_mat(xs,xt,Gs,color=[.5,.5,1])
+#pl.plot(xs[:,0],xs[:,1],'+b',label='Source samples')
+#pl.plot(xt[:,0],xt[:,1],'xr',label='Target samples')
+#pl.legend(loc=0)
+#pl.title('OT matrix Sinkhorn with samples')
+#
+
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