From 8fc9fce6c920c646ea7324ac0af54ad53e9aa1bf Mon Sep 17 00:00:00 2001
From: Rémi Flamary <remi.flamary@gmail.com>
Date: Tue, 20 Mar 2018 16:21:47 +0100
Subject: add class LinearTransport

---
 examples/plot_otda_linear_mapping.py | 35 ++++++++++++++++++++++++++++++++---
 1 file changed, 32 insertions(+), 3 deletions(-)

(limited to 'examples')

diff --git a/examples/plot_otda_linear_mapping.py b/examples/plot_otda_linear_mapping.py
index eff2648..44aa9c5 100644
--- a/examples/plot_otda_linear_mapping.py
+++ b/examples/plot_otda_linear_mapping.py
@@ -9,7 +9,7 @@ Created on Tue Mar 20 14:31:15 2018
 import numpy as np
 import pylab as pl
 import ot
-
+import scipy.linalg as linalg
 
 
 #%%
@@ -19,11 +19,13 @@ n=1000
 d=2
 sigma=.1
 
+# source samples
 angles=np.random.rand(n,1)*2*np.pi
 xs=np.concatenate((np.sin(angles),np.cos(angles)),axis=1)+sigma*np.random.randn(n,2)
-
 xs[:n//2,1]+=2
 
+
+# target samples
 anglet=np.random.rand(n,1)*2*np.pi
 xt=np.concatenate((np.sin(anglet),np.cos(anglet)),axis=1)+sigma*np.random.randn(n,2)
 xt[:n//2,1]+=2
@@ -43,7 +45,33 @@ pl.plot(xt[:,0],xt[:,1],'o')
 
 Ae,be=ot.da.OT_mapping_linear(xs,xt)
 
+Ae1=linalg.inv(Ae)
+be1=-be.dot(Ae1)
+
 xst=xs.dot(Ae)+be
+xts=xt.dot(Ae1)+be1
+
+##%%
+
+pl.figure(1,(5,5))
+pl.clf()
+pl.plot(xs[:,0],xs[:,1],'+')
+pl.plot(xt[:,0],xt[:,1],'o')
+pl.plot(xst[:,0],xst[:,1],'+')
+pl.plot(xts[:,0],xts[:,1],'o')
+
+pl.show()
+
+
+#%% Example class with  on images
+
+mapping=ot.da.LinearTransport()
+
+mapping.fit(Xs=xs,Xt=xt)
+
+
+xst=mapping.transform(Xs=xs)
+xts=mapping.inverse_transform(Xt=xt)
 
 ##%%
 
@@ -51,4 +79,5 @@ pl.figure(1,(5,5))
 pl.clf()
 pl.plot(xs[:,0],xs[:,1],'+')
 pl.plot(xt[:,0],xt[:,1],'o')
-pl.plot(xst[:,0],xst[:,1],'+')
\ No newline at end of file
+pl.plot(xst[:,0],xst[:,1],'+')
+pl.plot(xts[:,0],xts[:,1],'o')
-- 
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