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author | Alexandre Gramfort <alexandre.gramfort@m4x.org> | 2016-12-02 12:49:38 +0100 |
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committer | Alexandre Gramfort <alexandre.gramfort@m4x.org> | 2016-12-02 12:57:25 +0100 |
commit | f439f777084690ecbf54bcd8d67dadc883fffa31 (patch) | |
tree | 56c8a160fb6edcdaca8ca6ce6de1949b9bc33b77 /examples/plot_OT_1D.py | |
parent | 8dbfd3edae649f5f3e87be4a3ce446c59729b2f7 (diff) |
first attempt to support sphinx-gallery
Diffstat (limited to 'examples/plot_OT_1D.py')
-rw-r--r-- | examples/plot_OT_1D.py | 56 |
1 files changed, 56 insertions, 0 deletions
diff --git a/examples/plot_OT_1D.py b/examples/plot_OT_1D.py new file mode 100644 index 0000000..a8bbbd6 --- /dev/null +++ b/examples/plot_OT_1D.py @@ -0,0 +1,56 @@ +# -*- coding: utf-8 -*- +""" +============================= +Demo for 1D optimal transport +============================= + +@author: rflamary +""" + +import numpy as np +import matplotlib.pylab as pl +import ot +from ot.datasets import get_1D_gauss as gauss + + +#%% parameters + +n=100 # nb bins + +# bin positions +x=np.arange(n,dtype=np.float64) + +# Gaussian distributions +a=gauss(n,m=20,s=5) # m= mean, s= std +b=gauss(n,m=60,s=10) + +# loss matrix +M=ot.dist(x.reshape((n,1)),x.reshape((n,1))) +M/=M.max() + +#%% plot the distributions + +pl.figure(1) +pl.plot(x,a,'b',label='Source distribution') +pl.plot(x,b,'r',label='Target distribution') +pl.legend() + +#%% plot distributions and loss matrix + +pl.figure(2) +ot.plot.plot1D_mat(a,b,M,'Cost matrix M') + +#%% EMD + +G0=ot.emd(a,b,M) + +pl.figure(3) +ot.plot.plot1D_mat(a,b,G0,'OT matrix G0') + +#%% Sinkhorn + +lambd=1e-3 +Gs=ot.sinkhorn(a,b,M,lambd) + +pl.figure(4) +ot.plot.plot1D_mat(a,b,Gs,'OT matrix Sinkhorn') |