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diff --git a/docs/source/auto_examples/demo_OT_1D_test.rst b/docs/source/auto_examples/demo_OT_1D_test.rst new file mode 100644 index 0000000..aebeb1d --- /dev/null +++ b/docs/source/auto_examples/demo_OT_1D_test.rst @@ -0,0 +1,99 @@ + + +.. _sphx_glr_auto_examples_demo_OT_1D_test.py: + + +Demo for 1D optimal transport + +@author: rflamary + + + +.. code-block:: python + + + 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=n*.2,s=5) # m= mean, s= std + b=gauss(n,m=n*.6,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,verbose=True) + + pl.figure(4) + ot.plot.plot1D_mat(a,b,Gs,'OT matrix Sinkhorn') + + #%% Sinkhorn + + lambd=1e-4 + Gss,log=ot.bregman.sinkhorn_stabilized(a,b,M,lambd,verbose=True,log=True) + Gss2,log2=ot.bregman.sinkhorn_stabilized(a,b,M,lambd,verbose=True,log=True,warmstart=log['warmstart']) + + pl.figure(5) + ot.plot.plot1D_mat(a,b,Gss,'OT matrix Sinkhorn stabilized') + + #%% Sinkhorn + + lambd=1e-11 + Gss=ot.bregman.sinkhorn_epsilon_scaling(a,b,M,lambd,verbose=True) + + pl.figure(5) + ot.plot.plot1D_mat(a,b,Gss,'OT matrix Sinkhorn stabilized') + +**Total running time of the script:** ( 0 minutes 0.000 seconds) + + + +.. container:: sphx-glr-footer + + + .. container:: sphx-glr-download + + :download:`Download Python source code: demo_OT_1D_test.py <demo_OT_1D_test.py>` + + + + .. container:: sphx-glr-download + + :download:`Download Jupyter notebook: demo_OT_1D_test.ipynb <demo_OT_1D_test.ipynb>` + +.. rst-class:: sphx-glr-signature + + `Generated by Sphinx-Gallery <http://sphinx-gallery.readthedocs.io>`_ |