Merge pull request #27 from rflamary/autonb

auto notebooks + release update (fixes #16)

1 files changed, 23 insertions, 0 deletions

diff --git a/examples/plot_barycenter_1D.py b/examples/plot_barycenter_1D.py
index 875f44c..620936b 100644
--- a/examples/plot_barycenter_1D.py
+++ b/examples/plot_barycenter_1D.py
@@ -4,6 +4,14 @@
 1D Wasserstein barycenter demo
 ==============================
 
+This example illustrates the computation of regularized Wassersyein Barycenter
+as proposed in [3].
+
+
+[3] Benamou, J. D., Carlier, G., Cuturi, M., Nenna, L., & Peyré, G. (2015).
+Iterative Bregman projections for regularized transportation problems
+SIAM Journal on Scientific Computing, 37(2), A1111-A1138.
+
 """
 
 # Author: Remi Flamary <remi.flamary@unice.fr>
@@ -17,6 +25,9 @@ import ot
 from mpl_toolkits.mplot3d import Axes3D  # noqa
 from matplotlib.collections import PolyCollection
 
+##############################################################################
+# Generate data
+# -------------
 
 #%% parameters
 
@@ -37,6 +48,10 @@ n_distributions = A.shape[1]
 M = ot.utils.dist0(n)
 M /= M.max()
 
+##############################################################################
+# Plot data
+# ---------
+
 #%% plot the distributions
 
 pl.figure(1, figsize=(6.4, 3))
@@ -45,6 +60,10 @@ for i in range(n_distributions):
 pl.title('Distributions')
 pl.tight_layout()
 
+##############################################################################
+# Barycenter computation
+# ----------------------
+
 #%% barycenter computation
 
 alpha = 0.2  # 0<=alpha<=1
@@ -71,6 +90,10 @@ pl.legend()
 pl.title('Barycenters')
 pl.tight_layout()
 
+##############################################################################
+# Barycentric interpolation
+# -------------------------
+
 #%% barycenter interpolation
 
 n_alpha = 11