diff options
author | Rémi Flamary <remi.flamary@gmail.com> | 2016-12-02 15:38:59 +0100 |
---|---|---|
committer | Rémi Flamary <remi.flamary@gmail.com> | 2016-12-02 15:38:59 +0100 |
commit | e458b7a58d9790e7c5ff40dea235402d9c4c8662 (patch) | |
tree | ac9da575654c78aa04a177723603935051b5d42d /docs/source/auto_examples/plot_OT_2D_samples.py | |
parent | 7609f9e6a4103e13beb294873f4dac562b1d45e1 (diff) |
add doc for gallery
Diffstat (limited to 'docs/source/auto_examples/plot_OT_2D_samples.py')
-rw-r--r-- | docs/source/auto_examples/plot_OT_2D_samples.py | 78 |
1 files changed, 78 insertions, 0 deletions
diff --git a/docs/source/auto_examples/plot_OT_2D_samples.py b/docs/source/auto_examples/plot_OT_2D_samples.py new file mode 100644 index 0000000..6c39ad4 --- /dev/null +++ b/docs/source/auto_examples/plot_OT_2D_samples.py @@ -0,0 +1,78 @@ +# -*- coding: utf-8 -*- +""" +==================================================== +2D Optimal transport between empirical distributions +==================================================== + +@author: rflamary +""" + +import numpy as np +import matplotlib.pylab as pl +import ot + +#%% parameters and data generation + +n=20 # 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') |