update example with rst titles

1 files changed, 24 insertions, 5 deletions

diff --git a/docs/source/auto_examples/plot_optim_OTreg.rst b/docs/source/auto_examples/plot_optim_OTreg.rst
index 532d4ca..d444631 100644
--- a/docs/source/auto_examples/plot_optim_OTreg.rst
+++ b/docs/source/auto_examples/plot_optim_OTreg.rst
@@ -7,6 +7,24 @@
 Regularized OT with generic solver
 ==================================
 
+Illustrates the use of the generic solver for regularized OT with
+user-designed regularization term. It uses Conditional gradient as in [6] and 
+generalized Conditional Gradient as proposed in [5][7].
+
+
+[5] N. Courty; R. Flamary; D. Tuia; A. Rakotomamonjy, Optimal Transport for 
+Domain Adaptation, in IEEE Transactions on Pattern Analysis and Machine 
+Intelligence , vol.PP, no.99, pp.1-1.
+
+[6] Ferradans, S., Papadakis, N., Peyré, G., & Aujol, J. F. (2014). 
+Regularized discrete optimal transport. SIAM Journal on Imaging Sciences, 
+7(3), 1853-1882.
+
+[7] Rakotomamonjy, A., Flamary, R., & Courty, N. (2015). Generalized 
+conditional gradient: analysis of convergence and applications. 
+arXiv preprint arXiv:1510.06567.
+
+
 
 
 
@@ -25,7 +43,7 @@ Regularized OT with generic solver
 
 
 
-Generate data 
+Generate data
 #############################################################################
 
 
@@ -54,7 +72,7 @@ Generate data
 
 
 
-Solve EMD 
+Solve EMD
 #############################################################################
 
 
@@ -612,6 +630,7 @@ Solve EMD with Frobenius norm + entropic regularization
 
     #%% Example with Frobenius norm + entropic regularization with gcg
 
+
     def f(G):
         return 0.5 * np.sum(G**2)
 
@@ -645,10 +664,10 @@ Solve EMD with Frobenius norm + entropic regularization
         1|1.610121e-01|-5.152589e-02
         2|1.609378e-01|-4.622297e-04
         3|1.609284e-01|-5.830043e-05
-        4|1.609284e-01|-1.111580e-12
+        4|1.609284e-01|-1.111407e-12
 
 
-**Total running time of the script:** ( 0 minutes  2.719 seconds)
+**Total running time of the script:** ( 0 minutes  1.867 seconds)
 
 
 
@@ -667,4 +686,4 @@ Solve EMD with Frobenius norm + entropic regularization
 
 .. rst-class:: sphx-glr-signature
 
-    `Generated by Sphinx-Gallery <http://sphinx-gallery.readthedocs.io>`_
+    `Generated by Sphinx-Gallery <https://sphinx-gallery.readthedocs.io>`_