big update examples

1 files changed, 392 insertions, 462 deletions

diff --git a/docs/source/auto_examples/plot_optim_OTreg.rst b/docs/source/auto_examples/plot_optim_OTreg.rst
index 844cba0..cd5bcf5 100644
--- a/docs/source/auto_examples/plot_optim_OTreg.rst
+++ b/docs/source/auto_examples/plot_optim_OTreg.rst
@@ -1,6 +1,12 @@
+.. only:: html
+
+    .. note::
+        :class: sphx-glr-download-link-note
 
+        Click :ref:`here <sphx_glr_download_auto_examples_plot_optim_OTreg.py>`     to download the full example code
+    .. rst-class:: sphx-glr-example-title
 
-.. _sphx_glr_auto_examples_plot_optim_OTreg.py:
+    .. _sphx_glr_auto_examples_plot_optim_OTreg.py:
 
 
 ==================================
@@ -28,8 +34,7 @@ arXiv preprint arXiv:1510.06567.
 
 
 
-
-.. code-block:: python
+.. code-block:: default
 
 
     import numpy as np
@@ -43,15 +48,13 @@ arXiv preprint arXiv:1510.06567.
 
 
 
+
 Generate data
 -------------
 
 
+.. code-block:: default
 
-.. code-block:: python
-
-
-    #%% parameters
 
     n = 100  # nb bins
 
@@ -72,16 +75,14 @@ Generate data
 
 
 
+
 Solve EMD
 ---------
 
 
-
-.. code-block:: python
+.. code-block:: default
 
 
-    #%% EMD
-
     G0 = ot.emd(a, b, M)
 
     pl.figure(3, figsize=(5, 5))
@@ -90,8 +91,9 @@ Solve EMD
 
 
 
-.. image:: /auto_examples/images/sphx_glr_plot_optim_OTreg_003.png
-    :align: center
+.. image:: /auto_examples/images/sphx_glr_plot_optim_OTreg_001.png
+    :class: sphx-glr-single-img
+
 
 
 
@@ -100,12 +102,9 @@ Solve EMD with Frobenius norm regularization
 --------------------------------------------
 
 
-
-.. code-block:: python
+.. code-block:: default
 
 
-    #%% Example with Frobenius norm regularization
-
 
     def f(G):
         return 0.5 * np.sum(G**2)
@@ -125,248 +124,249 @@ Solve EMD with Frobenius norm regularization
 
 
 
-.. image:: /auto_examples/images/sphx_glr_plot_optim_OTreg_004.png
-    :align: center
+.. image:: /auto_examples/images/sphx_glr_plot_optim_OTreg_002.png
+    :class: sphx-glr-single-img
 
 
 .. rst-class:: sphx-glr-script-out
 
- Out::
-
-    It.  |Loss        |Delta loss
-    --------------------------------
-        0|1.760578e-01|0.000000e+00
-        1|1.669467e-01|-5.457501e-02
-        2|1.665639e-01|-2.298130e-03
-        3|1.664378e-01|-7.572776e-04
-        4|1.664077e-01|-1.811855e-04
-        5|1.663912e-01|-9.936787e-05
-        6|1.663852e-01|-3.555826e-05
-        7|1.663814e-01|-2.305693e-05
-        8|1.663785e-01|-1.760450e-05
-        9|1.663767e-01|-1.078011e-05
-       10|1.663751e-01|-9.525192e-06
-       11|1.663737e-01|-8.396466e-06
-       12|1.663727e-01|-6.086938e-06
-       13|1.663720e-01|-4.042609e-06
-       14|1.663713e-01|-4.160914e-06
-       15|1.663707e-01|-3.823502e-06
-       16|1.663702e-01|-3.022440e-06
-       17|1.663697e-01|-3.181249e-06
-       18|1.663692e-01|-2.698532e-06
-       19|1.663687e-01|-3.258253e-06
-    It.  |Loss        |Delta loss
-    --------------------------------
-       20|1.663682e-01|-2.741118e-06
-       21|1.663678e-01|-2.624135e-06
-       22|1.663673e-01|-2.645179e-06
-       23|1.663670e-01|-1.957237e-06
-       24|1.663666e-01|-2.261541e-06
-       25|1.663663e-01|-1.851305e-06
-       26|1.663660e-01|-1.942296e-06
-       27|1.663657e-01|-2.092896e-06
-       28|1.663653e-01|-1.924361e-06
-       29|1.663651e-01|-1.625455e-06
-       30|1.663648e-01|-1.641123e-06
-       31|1.663645e-01|-1.566666e-06
-       32|1.663643e-01|-1.338514e-06
-       33|1.663641e-01|-1.222711e-06
-       34|1.663639e-01|-1.221805e-06
-       35|1.663637e-01|-1.440781e-06
-       36|1.663634e-01|-1.520091e-06
-       37|1.663632e-01|-1.288193e-06
-       38|1.663630e-01|-1.123055e-06
-       39|1.663628e-01|-1.024487e-06
-    It.  |Loss        |Delta loss
-    --------------------------------
-       40|1.663627e-01|-1.079606e-06
-       41|1.663625e-01|-1.172093e-06
-       42|1.663623e-01|-1.047880e-06
-       43|1.663621e-01|-1.010577e-06
-       44|1.663619e-01|-1.064438e-06
-       45|1.663618e-01|-9.882375e-07
-       46|1.663616e-01|-8.532647e-07
-       47|1.663615e-01|-9.930189e-07
-       48|1.663613e-01|-8.728955e-07
-       49|1.663612e-01|-9.524214e-07
-       50|1.663610e-01|-9.088418e-07
-       51|1.663609e-01|-7.639430e-07
-       52|1.663608e-01|-6.662611e-07
-       53|1.663607e-01|-7.133700e-07
-       54|1.663605e-01|-7.648141e-07
-       55|1.663604e-01|-6.557516e-07
-       56|1.663603e-01|-7.304213e-07
-       57|1.663602e-01|-6.353809e-07
-       58|1.663601e-01|-7.968279e-07
-       59|1.663600e-01|-6.367159e-07
-    It.  |Loss        |Delta loss
-    --------------------------------
-       60|1.663599e-01|-5.610790e-07
-       61|1.663598e-01|-5.787466e-07
-       62|1.663596e-01|-6.937777e-07
-       63|1.663596e-01|-5.599432e-07
-       64|1.663595e-01|-5.813048e-07
-       65|1.663594e-01|-5.724600e-07
-       66|1.663593e-01|-6.081892e-07
-       67|1.663592e-01|-5.948732e-07
-       68|1.663591e-01|-4.941833e-07
-       69|1.663590e-01|-5.213739e-07
-       70|1.663589e-01|-5.127355e-07
-       71|1.663588e-01|-4.349251e-07
-       72|1.663588e-01|-5.007084e-07
-       73|1.663587e-01|-4.880265e-07
-       74|1.663586e-01|-4.931950e-07
-       75|1.663585e-01|-4.981309e-07
-       76|1.663584e-01|-3.952959e-07
-       77|1.663584e-01|-4.544857e-07
-       78|1.663583e-01|-4.237579e-07
-       79|1.663582e-01|-4.382386e-07
-    It.  |Loss        |Delta loss
-    --------------------------------
-       80|1.663582e-01|-3.646051e-07
-       81|1.663581e-01|-4.197994e-07
-       82|1.663580e-01|-4.072764e-07
-       83|1.663580e-01|-3.994645e-07
-       84|1.663579e-01|-4.842721e-07
-       85|1.663578e-01|-3.276486e-07
-       86|1.663578e-01|-3.737346e-07
-       87|1.663577e-01|-4.282043e-07
-       88|1.663576e-01|-4.020937e-07
-       89|1.663576e-01|-3.431951e-07
-       90|1.663575e-01|-3.052335e-07
-       91|1.663575e-01|-3.500538e-07
-       92|1.663574e-01|-3.063176e-07
-       93|1.663573e-01|-3.576367e-07
-       94|1.663573e-01|-3.224681e-07
-       95|1.663572e-01|-3.673221e-07
-       96|1.663572e-01|-3.635561e-07
-       97|1.663571e-01|-3.527236e-07
-       98|1.663571e-01|-2.788548e-07
-       99|1.663570e-01|-2.727141e-07
-    It.  |Loss        |Delta loss
-    --------------------------------
-      100|1.663570e-01|-3.127278e-07
-      101|1.663569e-01|-2.637504e-07
-      102|1.663569e-01|-2.922750e-07
-      103|1.663568e-01|-3.076454e-07
-      104|1.663568e-01|-2.911509e-07
-      105|1.663567e-01|-2.403398e-07
-      106|1.663567e-01|-2.439790e-07
-      107|1.663567e-01|-2.634542e-07
-      108|1.663566e-01|-2.452203e-07
-      109|1.663566e-01|-2.852991e-07
-      110|1.663565e-01|-2.165490e-07
-      111|1.663565e-01|-2.450250e-07
-      112|1.663564e-01|-2.685294e-07
-      113|1.663564e-01|-2.821800e-07
-      114|1.663564e-01|-2.237390e-07
-      115|1.663563e-01|-1.992842e-07
-      116|1.663563e-01|-2.166739e-07
-      117|1.663563e-01|-2.086064e-07
-      118|1.663562e-01|-2.435945e-07
-      119|1.663562e-01|-2.292497e-07
-    It.  |Loss        |Delta loss
-    --------------------------------
-      120|1.663561e-01|-2.366209e-07
-      121|1.663561e-01|-2.138746e-07
-      122|1.663561e-01|-2.009637e-07
-      123|1.663560e-01|-2.386258e-07
-      124|1.663560e-01|-1.927442e-07
-      125|1.663560e-01|-2.081681e-07
-      126|1.663559e-01|-1.759123e-07
-      127|1.663559e-01|-1.890771e-07
-      128|1.663559e-01|-1.971315e-07
-      129|1.663558e-01|-2.101983e-07
-      130|1.663558e-01|-2.035645e-07
-      131|1.663558e-01|-1.984492e-07
-      132|1.663557e-01|-1.849064e-07
-      133|1.663557e-01|-1.795703e-07
-      134|1.663557e-01|-1.624087e-07
-      135|1.663557e-01|-1.689557e-07
-      136|1.663556e-01|-1.644308e-07
-      137|1.663556e-01|-1.618007e-07
-      138|1.663556e-01|-1.483013e-07
-      139|1.663555e-01|-1.708771e-07
-    It.  |Loss        |Delta loss
-    --------------------------------
-      140|1.663555e-01|-2.013847e-07
-      141|1.663555e-01|-1.721217e-07
-      142|1.663554e-01|-2.027911e-07
-      143|1.663554e-01|-1.764565e-07
-      144|1.663554e-01|-1.677151e-07
-      145|1.663554e-01|-1.351982e-07
-      146|1.663553e-01|-1.423360e-07
-      147|1.663553e-01|-1.541112e-07
-      148|1.663553e-01|-1.491601e-07
-      149|1.663553e-01|-1.466407e-07
-      150|1.663552e-01|-1.801524e-07
-      151|1.663552e-01|-1.714107e-07
-      152|1.663552e-01|-1.491257e-07
-      153|1.663552e-01|-1.513799e-07
-      154|1.663551e-01|-1.354539e-07
-      155|1.663551e-01|-1.233818e-07
-      156|1.663551e-01|-1.576219e-07
-      157|1.663551e-01|-1.452791e-07
-      158|1.663550e-01|-1.262867e-07
-      159|1.663550e-01|-1.316379e-07
-    It.  |Loss        |Delta loss
-    --------------------------------
-      160|1.663550e-01|-1.295447e-07
-      161|1.663550e-01|-1.283286e-07
-      162|1.663550e-01|-1.569222e-07
-      163|1.663549e-01|-1.172942e-07
-      164|1.663549e-01|-1.399809e-07
-      165|1.663549e-01|-1.229432e-07
-      166|1.663549e-01|-1.326191e-07
-      167|1.663548e-01|-1.209694e-07
-      168|1.663548e-01|-1.372136e-07
-      169|1.663548e-01|-1.338395e-07
-      170|1.663548e-01|-1.416497e-07
-      171|1.663548e-01|-1.298576e-07
-      172|1.663547e-01|-1.190590e-07
-      173|1.663547e-01|-1.167083e-07
-      174|1.663547e-01|-1.069425e-07
-      175|1.663547e-01|-1.217780e-07
-      176|1.663547e-01|-1.140754e-07
-      177|1.663546e-01|-1.160707e-07
-      178|1.663546e-01|-1.101798e-07
-      179|1.663546e-01|-1.114904e-07
-    It.  |Loss        |Delta loss
-    --------------------------------
-      180|1.663546e-01|-1.064022e-07
-      181|1.663546e-01|-9.258231e-08
-      182|1.663546e-01|-1.213120e-07
-      183|1.663545e-01|-1.164296e-07
-      184|1.663545e-01|-1.188762e-07
-      185|1.663545e-01|-9.394153e-08
-      186|1.663545e-01|-1.028656e-07
-      187|1.663545e-01|-1.115348e-07
-      188|1.663544e-01|-9.768310e-08
-      189|1.663544e-01|-1.021806e-07
-      190|1.663544e-01|-1.086303e-07
-      191|1.663544e-01|-9.879008e-08
-      192|1.663544e-01|-1.050210e-07
-      193|1.663544e-01|-1.002463e-07
-      194|1.663543e-01|-1.062747e-07
-      195|1.663543e-01|-9.348538e-08
-      196|1.663543e-01|-7.992512e-08
-      197|1.663543e-01|-9.558020e-08
-      198|1.663543e-01|-9.993772e-08
-      199|1.663543e-01|-8.588499e-08
-    It.  |Loss        |Delta loss
-    --------------------------------
-      200|1.663543e-01|-8.737134e-08
+ Out:
+
+ .. code-block:: none
+
+    It.  |Loss        |Relative loss|Absolute loss
+    ------------------------------------------------
+        0|1.760578e-01|0.000000e+00|0.000000e+00
+        1|1.669467e-01|5.457501e-02|9.111116e-03
+        2|1.665639e-01|2.298130e-03|3.827855e-04
+        3|1.664378e-01|7.572776e-04|1.260396e-04
+        4|1.664077e-01|1.811855e-04|3.015066e-05
+        5|1.663912e-01|9.936787e-05|1.653393e-05
+        6|1.663852e-01|3.555826e-05|5.916369e-06
+        7|1.663814e-01|2.305693e-05|3.836245e-06
+        8|1.663785e-01|1.760450e-05|2.929009e-06
+        9|1.663767e-01|1.078011e-05|1.793559e-06
+       10|1.663751e-01|9.525192e-06|1.584755e-06
+       11|1.663737e-01|8.396466e-06|1.396951e-06
+       12|1.663727e-01|6.086938e-06|1.012700e-06
+       13|1.663720e-01|4.042609e-06|6.725769e-07
+       14|1.663713e-01|4.160914e-06|6.922568e-07
+       15|1.663707e-01|3.823502e-06|6.361187e-07
+       16|1.663702e-01|3.022440e-06|5.028438e-07
+       17|1.663697e-01|3.181249e-06|5.292634e-07
+       18|1.663692e-01|2.698532e-06|4.489527e-07
+       19|1.663687e-01|3.258253e-06|5.420712e-07
+    It.  |Loss        |Relative loss|Absolute loss
+    ------------------------------------------------
+       20|1.663682e-01|2.741118e-06|4.560349e-07
+       21|1.663678e-01|2.624135e-06|4.365715e-07
+       22|1.663673e-01|2.645179e-06|4.400714e-07
+       23|1.663670e-01|1.957237e-06|3.256196e-07
+       24|1.663666e-01|2.261541e-06|3.762450e-07
+       25|1.663663e-01|1.851305e-06|3.079948e-07
+       26|1.663660e-01|1.942296e-06|3.231320e-07
+       27|1.663657e-01|2.092896e-06|3.481860e-07
+       28|1.663653e-01|1.924361e-06|3.201470e-07
+       29|1.663651e-01|1.625455e-06|2.704189e-07
+       30|1.663648e-01|1.641123e-06|2.730250e-07
+       31|1.663645e-01|1.566666e-06|2.606377e-07
+       32|1.663643e-01|1.338514e-06|2.226810e-07
+       33|1.663641e-01|1.222711e-06|2.034152e-07
+       34|1.663639e-01|1.221805e-06|2.032642e-07
+       35|1.663637e-01|1.440781e-06|2.396935e-07
+       36|1.663634e-01|1.520091e-06|2.528875e-07
+       37|1.663632e-01|1.288193e-06|2.143080e-07
+       38|1.663630e-01|1.123055e-06|1.868347e-07
+       39|1.663628e-01|1.024487e-06|1.704365e-07
+    It.  |Loss        |Relative loss|Absolute loss
+    ------------------------------------------------
+       40|1.663627e-01|1.079606e-06|1.796061e-07
+       41|1.663625e-01|1.172093e-06|1.949922e-07
+       42|1.663623e-01|1.047880e-06|1.743277e-07
+       43|1.663621e-01|1.010577e-06|1.681217e-07
+       44|1.663619e-01|1.064438e-06|1.770820e-07
+       45|1.663618e-01|9.882375e-07|1.644049e-07
+       46|1.663616e-01|8.532647e-07|1.419505e-07
+       47|1.663615e-01|9.930189e-07|1.652001e-07
+       48|1.663613e-01|8.728955e-07|1.452161e-07
+       49|1.663612e-01|9.524214e-07|1.584459e-07
+       50|1.663610e-01|9.088418e-07|1.511958e-07
+       51|1.663609e-01|7.639430e-07|1.270902e-07
+       52|1.663608e-01|6.662611e-07|1.108397e-07
+       53|1.663607e-01|7.133700e-07|1.186767e-07
+       54|1.663605e-01|7.648141e-07|1.272349e-07
+       55|1.663604e-01|6.557516e-07|1.090911e-07
+       56|1.663603e-01|7.304213e-07|1.215131e-07
+       57|1.663602e-01|6.353809e-07|1.057021e-07
+       58|1.663601e-01|7.968279e-07|1.325603e-07
+       59|1.663600e-01|6.367159e-07|1.059240e-07
+    It.  |Loss        |Relative loss|Absolute loss
+    ------------------------------------------------
+       60|1.663599e-01|5.610790e-07|9.334102e-08
+       61|1.663598e-01|5.787466e-07|9.628015e-08
+       62|1.663596e-01|6.937777e-07|1.154166e-07
+       63|1.663596e-01|5.599432e-07|9.315190e-08
+       64|1.663595e-01|5.813048e-07|9.670555e-08
+       65|1.663594e-01|5.724600e-07|9.523409e-08
+       66|1.663593e-01|6.081892e-07|1.011779e-07
+       67|1.663592e-01|5.948732e-07|9.896260e-08
+       68|1.663591e-01|4.941833e-07|8.221188e-08
+       69|1.663590e-01|5.213739e-07|8.673523e-08
+       70|1.663589e-01|5.127355e-07|8.529811e-08
+       71|1.663588e-01|4.349251e-07|7.235363e-08
+       72|1.663588e-01|5.007084e-07|8.329722e-08
+       73|1.663587e-01|4.880265e-07|8.118744e-08
+       74|1.663586e-01|4.931950e-07|8.204723e-08
+       75|1.663585e-01|4.981309e-07|8.286832e-08
+       76|1.663584e-01|3.952959e-07|6.576082e-08
+       77|1.663584e-01|4.544857e-07|7.560750e-08
+       78|1.663583e-01|4.237579e-07|7.049564e-08
+       79|1.663582e-01|4.382386e-07|7.290460e-08
+    It.  |Loss        |Relative loss|Absolute loss
+    ------------------------------------------------
+       80|1.663582e-01|3.646051e-07|6.065503e-08
+       81|1.663581e-01|4.197994e-07|6.983702e-08
+       82|1.663580e-01|4.072764e-07|6.775370e-08
+       83|1.663580e-01|3.994645e-07|6.645410e-08
+       84|1.663579e-01|4.842721e-07|8.056248e-08
+       85|1.663578e-01|3.276486e-07|5.450691e-08
+       86|1.663578e-01|3.737346e-07|6.217366e-08
+       87|1.663577e-01|4.282043e-07|7.123508e-08
+       88|1.663576e-01|4.020937e-07|6.689135e-08
+       89|1.663576e-01|3.431951e-07|5.709310e-08
+       90|1.663575e-01|3.052335e-07|5.077789e-08
+       91|1.663575e-01|3.500538e-07|5.823407e-08
+       92|1.663574e-01|3.063176e-07|5.095821e-08
+       93|1.663573e-01|3.576367e-07|5.949549e-08
+       94|1.663573e-01|3.224681e-07|5.364492e-08
+       95|1.663572e-01|3.673221e-07|6.110670e-08
+       96|1.663572e-01|3.635561e-07|6.048017e-08
+       97|1.663571e-01|3.527236e-07|5.867807e-08
+       98|1.663571e-01|2.788548e-07|4.638946e-08
+       99|1.663570e-01|2.727141e-07|4.536791e-08
+    It.  |Loss        |Relative loss|Absolute loss
+    ------------------------------------------------
+      100|1.663570e-01|3.127278e-07|5.202445e-08
+      101|1.663569e-01|2.637504e-07|4.387670e-08
+      102|1.663569e-01|2.922750e-07|4.862195e-08
+      103|1.663568e-01|3.076454e-07|5.117891e-08
+      104|1.663568e-01|2.911509e-07|4.843492e-08
+      105|1.663567e-01|2.403398e-07|3.998215e-08
+      106|1.663567e-01|2.439790e-07|4.058755e-08
+      107|1.663567e-01|2.634542e-07|4.382735e-08
+      108|1.663566e-01|2.452203e-07|4.079401e-08
+      109|1.663566e-01|2.852991e-07|4.746137e-08
+      110|1.663565e-01|2.165490e-07|3.602434e-08
+      111|1.663565e-01|2.450250e-07|4.076149e-08
+      112|1.663564e-01|2.685294e-07|4.467159e-08
+      113|1.663564e-01|2.821800e-07|4.694245e-08
+      114|1.663564e-01|2.237390e-07|3.722040e-08
+      115|1.663563e-01|1.992842e-07|3.315219e-08
+      116|1.663563e-01|2.166739e-07|3.604506e-08
+      117|1.663563e-01|2.086064e-07|3.470297e-08
+      118|1.663562e-01|2.435945e-07|4.052346e-08
+      119|1.663562e-01|2.292497e-07|3.813711e-08
+    It.  |Loss        |Relative loss|Absolute loss
+    ------------------------------------------------
+      120|1.663561e-01|2.366209e-07|3.936334e-08
+      121|1.663561e-01|2.138746e-07|3.557935e-08
+      122|1.663561e-01|2.009637e-07|3.343153e-08
+      123|1.663560e-01|2.386258e-07|3.969683e-08
+      124|1.663560e-01|1.927442e-07|3.206415e-08
+      125|1.663560e-01|2.081681e-07|3.463000e-08
+      126|1.663559e-01|1.759123e-07|2.926406e-08
+      127|1.663559e-01|1.890771e-07|3.145409e-08
+      128|1.663559e-01|1.971315e-07|3.279398e-08
+      129|1.663558e-01|2.101983e-07|3.496771e-08
+      130|1.663558e-01|2.035645e-07|3.386414e-08
+      131|1.663558e-01|1.984492e-07|3.301317e-08
+      132|1.663557e-01|1.849064e-07|3.076024e-08
+      133|1.663557e-01|1.795703e-07|2.987255e-08
+      134|1.663557e-01|1.624087e-07|2.701762e-08
+      135|1.663557e-01|1.689557e-07|2.810673e-08
+      136|1.663556e-01|1.644308e-07|2.735399e-08
+      137|1.663556e-01|1.618007e-07|2.691644e-08
+      138|1.663556e-01|1.483013e-07|2.467075e-08
+      139|1.663555e-01|1.708771e-07|2.842636e-08
+    It.  |Loss        |Relative loss|Absolute loss
+    ------------------------------------------------
+      140|1.663555e-01|2.013847e-07|3.350146e-08
+      141|1.663555e-01|1.721217e-07|2.863339e-08
+      142|1.663554e-01|2.027911e-07|3.373540e-08
+      143|1.663554e-01|1.764565e-07|2.935449e-08
+      144|1.663554e-01|1.677151e-07|2.790030e-08
+      145|1.663554e-01|1.351982e-07|2.249094e-08
+      146|1.663553e-01|1.423360e-07|2.367836e-08
+      147|1.663553e-01|1.541112e-07|2.563722e-08
+      148|1.663553e-01|1.491601e-07|2.481358e-08
+      149|1.663553e-01|1.466407e-07|2.439446e-08
+      150|1.663552e-01|1.801524e-07|2.996929e-08
+      151|1.663552e-01|1.714107e-07|2.851507e-08
+      152|1.663552e-01|1.491257e-07|2.480784e-08
+      153|1.663552e-01|1.513799e-07|2.518282e-08
+      154|1.663551e-01|1.354539e-07|2.253345e-08
+      155|1.663551e-01|1.233818e-07|2.052519e-08
+      156|1.663551e-01|1.576219e-07|2.622121e-08
+      157|1.663551e-01|1.452791e-07|2.416792e-08
+      158|1.663550e-01|1.262867e-07|2.100843e-08
+      159|1.663550e-01|1.316379e-07|2.189863e-08
+    It.  |Loss        |Relative loss|Absolute loss
+    ------------------------------------------------
+      160|1.663550e-01|1.295447e-07|2.155041e-08
+      161|1.663550e-01|1.283286e-07|2.134810e-08
+      162|1.663550e-01|1.569222e-07|2.610479e-08
+      163|1.663549e-01|1.172942e-07|1.951247e-08
+      164|1.663549e-01|1.399809e-07|2.328651e-08
+      165|1.663549e-01|1.229432e-07|2.045221e-08
+      166|1.663549e-01|1.326191e-07|2.206184e-08
+      167|1.663548e-01|1.209694e-07|2.012384e-08
+      168|1.663548e-01|1.372136e-07|2.282614e-08
+      169|1.663548e-01|1.338395e-07|2.226484e-08
+      170|1.663548e-01|1.416497e-07|2.356410e-08
+      171|1.663548e-01|1.298576e-07|2.160242e-08
+      172|1.663547e-01|1.190590e-07|1.980603e-08
+      173|1.663547e-01|1.167083e-07|1.941497e-08
+      174|1.663547e-01|1.069425e-07|1.779038e-08
+      175|1.663547e-01|1.217780e-07|2.025834e-08
+      176|1.663547e-01|1.140754e-07|1.897697e-08
+      177|1.663546e-01|1.160707e-07|1.930890e-08
+      178|1.663546e-01|1.101798e-07|1.832892e-08
+      179|1.663546e-01|1.114904e-07|1.854694e-08
+    It.  |Loss        |Relative loss|Absolute loss
+    ------------------------------------------------
+      180|1.663546e-01|1.064022e-07|1.770049e-08
+      181|1.663546e-01|9.258231e-08|1.540149e-08
+      182|1.663546e-01|1.213120e-07|2.018080e-08
+      183|1.663545e-01|1.164296e-07|1.936859e-08
+      184|1.663545e-01|1.188762e-07|1.977559e-08
+      185|1.663545e-01|9.394153e-08|1.562760e-08
+      186|1.663545e-01|1.028656e-07|1.711216e-08
+      187|1.663545e-01|1.115348e-07|1.855431e-08
+      188|1.663544e-01|9.768310e-08|1.625002e-08
+      189|1.663544e-01|1.021806e-07|1.699820e-08
+      190|1.663544e-01|1.086303e-07|1.807113e-08
+      191|1.663544e-01|9.879008e-08|1.643416e-08
+      192|1.663544e-01|1.050210e-07|1.747071e-08
+      193|1.663544e-01|1.002463e-07|1.667641e-08
+      194|1.663543e-01|1.062747e-07|1.767925e-08
+      195|1.663543e-01|9.348538e-08|1.555170e-08
+      196|1.663543e-01|7.992512e-08|1.329589e-08
+      197|1.663543e-01|9.558020e-08|1.590018e-08
+      198|1.663543e-01|9.993772e-08|1.662507e-08
+      199|1.663543e-01|8.588499e-08|1.428734e-08
+    It.  |Loss        |Relative loss|Absolute loss
+    ------------------------------------------------
+      200|1.663543e-01|8.737134e-08|1.453459e-08
 
 
-Solve EMD with entropic regularization
---------------------------------------
 
 
+Solve EMD with entropic regularization
+--------------------------------------
 
-.. code-block:: python
 
+.. code-block:: default
 
-    #%% Example with entropic regularization
 
 
     def f(G):
@@ -387,217 +387,128 @@ Solve EMD with entropic regularization
 
 
 
-.. image:: /auto_examples/images/sphx_glr_plot_optim_OTreg_006.png
-    :align: center
+.. image:: /auto_examples/images/sphx_glr_plot_optim_OTreg_003.png
+    :class: sphx-glr-single-img
 
 
 .. rst-class:: sphx-glr-script-out
 
- Out::
-
-    It.  |Loss        |Delta loss
-    --------------------------------
-        0|1.692289e-01|0.000000e+00
-        1|1.617643e-01|-4.614437e-02
-        2|1.612639e-01|-3.102965e-03
-        3|1.611291e-01|-8.371098e-04
-        4|1.610468e-01|-5.110558e-04
-        5|1.610198e-01|-1.672927e-04
-        6|1.610130e-01|-4.232417e-05
-        7|1.610090e-01|-2.513455e-05
-        8|1.610002e-01|-5.443507e-05
-        9|1.609996e-01|-3.657071e-06
-       10|1.609948e-01|-2.998735e-05
-       11|1.609695e-01|-1.569217e-04
-       12|1.609533e-01|-1.010779e-04
-       13|1.609520e-01|-8.043897e-06
-       14|1.609465e-01|-3.415246e-05
-       15|1.609386e-01|-4.898605e-05
-       16|1.609324e-01|-3.837052e-05
-       17|1.609298e-01|-1.617826e-05
-       18|1.609184e-01|-7.080015e-05
-       19|1.609083e-01|-6.273206e-05
-    It.  |Loss        |Delta loss
-    --------------------------------
-       20|1.608988e-01|-5.940805e-05
-       21|1.608853e-01|-8.380030e-05
-       22|1.608844e-01|-5.185045e-06
-       23|1.608824e-01|-1.279113e-05
-       24|1.608819e-01|-3.156821e-06
-       25|1.608783e-01|-2.205746e-05
-       26|1.608764e-01|-1.189894e-05
-       27|1.608755e-01|-5.474607e-06
-       28|1.608737e-01|-1.144227e-05
-       29|1.608676e-01|-3.775335e-05
-       30|1.608638e-01|-2.348020e-05
-       31|1.608627e-01|-6.863136e-06
-       32|1.608529e-01|-6.110230e-05
-       33|1.608487e-01|-2.641106e-05
-       34|1.608409e-01|-4.823638e-05
-       35|1.608373e-01|-2.256641e-05
-       36|1.608338e-01|-2.132444e-05
-       37|1.608310e-01|-1.786649e-05
-       38|1.608260e-01|-3.103848e-05
-       39|1.608206e-01|-3.321265e-05
-    It.  |Loss        |Delta loss
-    --------------------------------
-       40|1.608201e-01|-3.054747e-06
-       41|1.608195e-01|-4.198335e-06
-       42|1.608193e-01|-8.458736e-07
-       43|1.608159e-01|-2.153759e-05
-       44|1.608115e-01|-2.738314e-05
-       45|1.608108e-01|-3.960032e-06
-       46|1.608081e-01|-1.675447e-05
-       47|1.608072e-01|-5.976340e-06
-       48|1.608046e-01|-1.604130e-05
-       49|1.608020e-01|-1.617036e-05
-       50|1.608014e-01|-3.957795e-06
-       51|1.608011e-01|-1.292411e-06
-       52|1.607998e-01|-8.431795e-06
-       53|1.607964e-01|-2.127054e-05
-       54|1.607947e-01|-1.021878e-05
-       55|1.607947e-01|-3.560621e-07
-       56|1.607900e-01|-2.929781e-05
-       57|1.607890e-01|-5.740229e-06
-       58|1.607858e-01|-2.039550e-05
-       59|1.607836e-01|-1.319545e-05
-    It.  |Loss        |Delta loss
-    --------------------------------
-       60|1.607826e-01|-6.378947e-06
-       61|1.607808e-01|-1.145102e-05
-       62|1.607776e-01|-1.941743e-05
-       63|1.607743e-01|-2.087422e-05
-       64|1.607741e-01|-1.310249e-06
-       65|1.607738e-01|-1.682752e-06
-       66|1.607691e-01|-2.913936e-05
-       67|1.607671e-01|-1.288855e-05
-       68|1.607654e-01|-1.002448e-05
-       69|1.607641e-01|-8.209492e-06
-       70|1.607632e-01|-5.588467e-06
-       71|1.607619e-01|-8.050388e-06
-       72|1.607618e-01|-9.417493e-07
-       73|1.607598e-01|-1.210509e-05
-       74|1.607591e-01|-4.392914e-06
-       75|1.607579e-01|-7.759587e-06
-       76|1.607574e-01|-2.760280e-06
-       77|1.607556e-01|-1.146469e-05
-       78|1.607550e-01|-3.689456e-06
-       79|1.607550e-01|-4.065631e-08
-    It.  |Loss        |Delta loss
-    --------------------------------
-       80|1.607539e-01|-6.555681e-06
-       81|1.607528e-01|-7.177470e-06
-       82|1.607527e-01|-5.306068e-07
-       83|1.607514e-01|-7.816045e-06
-       84|1.607511e-01|-2.301970e-06
-       85|1.607504e-01|-4.281072e-06
-       86|1.607503e-01|-7.821886e-07
-       87|1.607480e-01|-1.403013e-05
-       88|1.607480e-01|-1.169298e-08
-       89|1.607473e-01|-4.235982e-06
-       90|1.607470e-01|-1.717105e-06
-       91|1.607470e-01|-6.148402e-09
-       92|1.607462e-01|-5.396481e-06
-       93|1.607461e-01|-5.194954e-07
-       94|1.607450e-01|-6.525707e-06
-       95|1.607442e-01|-5.332060e-06
-       96|1.607439e-01|-1.682093e-06
-       97|1.607437e-01|-1.594796e-06
-       98|1.607435e-01|-7.923812e-07
-       99|1.607420e-01|-9.738552e-06
-    It.  |Loss        |Delta loss
-    --------------------------------
-      100|1.607419e-01|-1.022448e-07
-      101|1.607419e-01|-4.865999e-07
-      102|1.607418e-01|-7.092012e-07
-      103|1.607408e-01|-5.861815e-06
-      104|1.607402e-01|-3.953266e-06
-      105|1.607395e-01|-3.969572e-06
-      106|1.607390e-01|-3.612075e-06
-      107|1.607377e-01|-7.683735e-06
-      108|1.607365e-01|-7.777599e-06
-      109|1.607364e-01|-2.335096e-07
-      110|1.607364e-01|-4.562036e-07
-      111|1.607360e-01|-2.089538e-06
-      112|1.607356e-01|-2.755355e-06
-      113|1.607349e-01|-4.501960e-06
-      114|1.607347e-01|-1.160544e-06
-      115|1.607346e-01|-6.289450e-07
-      116|1.607345e-01|-2.092146e-07
-      117|1.607336e-01|-5.990866e-06
-      118|1.607330e-01|-3.348498e-06
-      119|1.607328e-01|-1.256222e-06
-    It.  |Loss        |Delta loss
-    --------------------------------
-      120|1.607320e-01|-5.418353e-06
-      121|1.607318e-01|-8.296189e-07
-      122|1.607311e-01|-4.381608e-06
-      123|1.607310e-01|-8.913901e-07
-      124|1.607309e-01|-3.808821e-07
-      125|1.607302e-01|-4.608994e-06
-      126|1.607294e-01|-5.063777e-06
-      127|1.607290e-01|-2.532835e-06
-      128|1.607285e-01|-2.870049e-06
-      129|1.607284e-01|-4.892812e-07
-      130|1.607281e-01|-1.760452e-06
-      131|1.607279e-01|-1.727139e-06
-      132|1.607275e-01|-2.220706e-06
-      133|1.607271e-01|-2.516930e-06
-      134|1.607269e-01|-1.201434e-06
-      135|1.607269e-01|-2.183459e-09
-      136|1.607262e-01|-4.223011e-06
-      137|1.607258e-01|-2.530202e-06
-      138|1.607258e-01|-1.857260e-07
-      139|1.607256e-01|-1.401957e-06
-    It.  |Loss        |Delta loss
-    --------------------------------
-      140|1.607250e-01|-3.242751e-06
-      141|1.607247e-01|-2.308071e-06
-      142|1.607247e-01|-4.730700e-08
-      143|1.607246e-01|-4.240229e-07
-      144|1.607242e-01|-2.484810e-06
-      145|1.607238e-01|-2.539206e-06
-      146|1.607234e-01|-2.535574e-06
-      147|1.607231e-01|-1.954802e-06
-      148|1.607228e-01|-1.765447e-06
-      149|1.607228e-01|-1.620007e-08
-      150|1.607222e-01|-3.615783e-06
-      151|1.607222e-01|-8.668516e-08
-      152|1.607215e-01|-4.000673e-06
-      153|1.607213e-01|-1.774103e-06
-      154|1.607213e-01|-6.328834e-09
-      155|1.607209e-01|-2.418783e-06
-      156|1.607208e-01|-2.848492e-07
-      157|1.607207e-01|-8.836043e-07
-      158|1.607205e-01|-1.192836e-06
-      159|1.607202e-01|-1.638022e-06
-    It.  |Loss        |Delta loss
-    --------------------------------
-      160|1.607202e-01|-3.670914e-08
-      161|1.607197e-01|-3.153709e-06
-      162|1.607197e-01|-2.419565e-09
-      163|1.607194e-01|-2.136882e-06
-      164|1.607194e-01|-1.173754e-09
-      165|1.607192e-01|-8.169238e-07
-      166|1.607191e-01|-9.218755e-07
-      167|1.607189e-01|-9.459255e-07
-      168|1.607187e-01|-1.294835e-06
-      169|1.607186e-01|-5.797668e-07
-      170|1.607186e-01|-4.706272e-08
-      171|1.607183e-01|-1.753383e-06
-      172|1.607183e-01|-1.681573e-07
-      173|1.607183e-01|-2.563971e-10
+ Out:
+
+ .. code-block:: none
+
+    It.  |Loss        |Relative loss|Absolute loss
+    ------------------------------------------------
+        0|1.692289e-01|0.000000e+00|0.000000e+00
+        1|1.617643e-01|4.614437e-02|7.464513e-03
+        2|1.612639e-01|3.102965e-03|5.003963e-04
+        3|1.611291e-01|8.371098e-04|1.348827e-04
+        4|1.610468e-01|5.110558e-04|8.230389e-05
+        5|1.610198e-01|1.672927e-04|2.693743e-05
+        6|1.610130e-01|4.232417e-05|6.814742e-06
+        7|1.610090e-01|2.513455e-05|4.046887e-06
+        8|1.610002e-01|5.443507e-05|8.764057e-06
+        9|1.609996e-01|3.657071e-06|5.887869e-07
+       10|1.609948e-01|2.998735e-05|4.827807e-06
+       11|1.609695e-01|1.569217e-04|2.525962e-05
+       12|1.609533e-01|1.010779e-04|1.626881e-05
+       13|1.609520e-01|8.043897e-06|1.294681e-06
+       14|1.609465e-01|3.415246e-05|5.496718e-06
+       15|1.609386e-01|4.898605e-05|7.883745e-06
+       16|1.609324e-01|3.837052e-05|6.175060e-06
+       17|1.609298e-01|1.617826e-05|2.603564e-06
+       18|1.609184e-01|7.080015e-05|1.139305e-05
+       19|1.609083e-01|6.273206e-05|1.009411e-05
+    It.  |Loss        |Relative loss|Absolute loss
+    ------------------------------------------------
+       20|1.608988e-01|5.940805e-05|9.558681e-06
+       21|1.608853e-01|8.380030e-05|1.348223e-05
+       22|1.608844e-01|5.185045e-06|8.341930e-07
+       23|1.608824e-01|1.279113e-05|2.057868e-06
+       24|1.608819e-01|3.156821e-06|5.078753e-07
+       25|1.608783e-01|2.205746e-05|3.548567e-06
+       26|1.608764e-01|1.189894e-05|1.914259e-06
+       27|1.608755e-01|5.474607e-06|8.807303e-07
+       28|1.608737e-01|1.144227e-05|1.840760e-06
+       29|1.608676e-01|3.775335e-05|6.073291e-06
+       30|1.608638e-01|2.348020e-05|3.777116e-06
+       31|1.608627e-01|6.863136e-06|1.104023e-06
+       32|1.608529e-01|6.110230e-05|9.828482e-06
+       33|1.608487e-01|2.641106e-05|4.248184e-06
+       34|1.608409e-01|4.823638e-05|7.758383e-06
+       35|1.608373e-01|2.256641e-05|3.629519e-06
+       36|1.608338e-01|2.132444e-05|3.429691e-06
+       37|1.608310e-01|1.786649e-05|2.873484e-06
+       38|1.608260e-01|3.103848e-05|4.991794e-06
+       39|1.608206e-01|3.321265e-05|5.341279e-06
+    It.  |Loss        |Relative loss|Absolute loss
+    ------------------------------------------------
+       40|1.608201e-01|3.054747e-06|4.912648e-07
+       41|1.608195e-01|4.198335e-06|6.751739e-07
+       42|1.608193e-01|8.458736e-07|1.360328e-07
+       43|1.608159e-01|2.153759e-05|3.463587e-06
+       44|1.608115e-01|2.738314e-05|4.403523e-06
+       45|1.608108e-01|3.960032e-06|6.368161e-07
+       46|1.608081e-01|1.675447e-05|2.694254e-06
+       47|1.608072e-01|5.976340e-06|9.610383e-07
+       48|1.608046e-01|1.604130e-05|2.579515e-06
+       49|1.608020e-01|1.617036e-05|2.600226e-06
+       50|1.608014e-01|3.957795e-06|6.364188e-07
+       51|1.608011e-01|1.292411e-06|2.078211e-07
+       52|1.607998e-01|8.431795e-06|1.355831e-06
+       53|1.607964e-01|2.127054e-05|3.420225e-06
+       54|1.607947e-01|1.021878e-05|1.643126e-06
+       55|1.607947e-01|3.560621e-07|5.725288e-08
+       56|1.607900e-01|2.929781e-05|4.710793e-06
+       57|1.607890e-01|5.740229e-06|9.229659e-07
+       58|1.607858e-01|2.039550e-05|3.279306e-06
+       59|1.607836e-01|1.319545e-05|2.121612e-06
+    It.  |Loss        |Relative loss|Absolute loss
+    ------------------------------------------------
+       60|1.607826e-01|6.378947e-06|1.025624e-06
+       61|1.607808e-01|1.145102e-05|1.841105e-06
+       62|1.607776e-01|1.941743e-05|3.121889e-06
+       63|1.607743e-01|2.087422e-05|3.356037e-06
+       64|1.607741e-01|1.310249e-06|2.106541e-07
+       65|1.607738e-01|1.682752e-06|2.705425e-07
+       66|1.607691e-01|2.913936e-05|4.684709e-06
+       67|1.607671e-01|1.288855e-05|2.072055e-06
+       68|1.607654e-01|1.002448e-05|1.611590e-06
+       69|1.607641e-01|8.209492e-06|1.319792e-06
+       70|1.607632e-01|5.588467e-06|8.984199e-07
+       71|1.607619e-01|8.050388e-06|1.294196e-06
+       72|1.607618e-01|9.417493e-07|1.513973e-07
+       73|1.607598e-01|1.210509e-05|1.946012e-06
+       74|1.607591e-01|4.392914e-06|7.062009e-07
+       75|1.607579e-01|7.759587e-06|1.247415e-06
+       76|1.607574e-01|2.760280e-06|4.437356e-07
+       77|1.607556e-01|1.146469e-05|1.843012e-06
+       78|1.607550e-01|3.689456e-06|5.930984e-07
+       79|1.607550e-01|4.065631e-08|6.535705e-09
+    It.  |Loss        |Relative loss|Absolute loss
+    ------------------------------------------------
+       80|1.607539e-01|6.555681e-06|1.053852e-06
+       81|1.607528e-01|7.177470e-06|1.153798e-06
+       82|1.607527e-01|5.306068e-07|8.529648e-08
+       83|1.607514e-01|7.816045e-06|1.256440e-06
+       84|1.607511e-01|2.301970e-06|3.700442e-07
+       85|1.607504e-01|4.281072e-06|6.881840e-07
+       86|1.607503e-01|7.821886e-07|1.257370e-07
+       87|1.607480e-01|1.403013e-05|2.255315e-06
+       88|1.607480e-01|1.169298e-08|1.879624e-09
+       89|1.607473e-01|4.235982e-06|6.809227e-07
+       90|1.607470e-01|1.717105e-06|2.760195e-07
+       91|1.607470e-01|6.148402e-09|9.883374e-10
 
 
-Solve EMD with Frobenius norm + entropic regularization
--------------------------------------------------------
 
 
+Solve EMD with Frobenius norm + entropic regularization
+-------------------------------------------------------
 
-.. code-block:: python
 
+.. code-block:: default
 
-    #%% Example with Frobenius norm + entropic regularization with gcg
 
 
     def f(G):
@@ -619,39 +530,58 @@ Solve EMD with Frobenius norm + entropic regularization
 
 
 
-.. image:: /auto_examples/images/sphx_glr_plot_optim_OTreg_008.png
-    :align: center
+.. image:: /auto_examples/images/sphx_glr_plot_optim_OTreg_004.png
+    :class: sphx-glr-single-img
 
 
 .. rst-class:: sphx-glr-script-out
 
- Out::
+ Out:
 
-    It.  |Loss        |Delta loss
-    --------------------------------
-        0|1.693084e-01|0.000000e+00
-        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|-1.111407e-12
+ .. code-block:: none
 
+    It.  |Loss        |Relative loss|Absolute loss
+    ------------------------------------------------
+        0|1.693084e-01|0.000000e+00|0.000000e+00
+        1|1.610202e-01|5.147342e-02|8.288260e-03
+        2|1.609508e-01|4.309685e-04|6.936474e-05
+        3|1.609484e-01|1.524885e-05|2.454278e-06
+        4|1.609477e-01|3.863641e-06|6.218444e-07
+        5|1.609475e-01|1.433633e-06|2.307397e-07
+        6|1.609474e-01|6.332412e-07|1.019185e-07
+        7|1.609474e-01|2.950826e-07|4.749276e-08
+        8|1.609473e-01|1.508393e-07|2.427718e-08
+        9|1.609473e-01|7.859971e-08|1.265041e-08
+       10|1.609473e-01|4.337432e-08|6.980981e-09
+    /home/rflamary/PYTHON/POT/examples/plot_optim_OTreg.py:129: UserWarning: Matplotlib is currently using agg, which is a non-GUI backend, so cannot show the figure.
+      pl.show()
 
-**Total running time of the script:** ( 0 minutes  1.990 seconds)
 
 
 
+
+.. rst-class:: sphx-glr-timing
+
+   **Total running time of the script:** ( 0 minutes  0.985 seconds)
+
+
+.. _sphx_glr_download_auto_examples_plot_optim_OTreg.py:
+
+
 .. only :: html
 
  .. container:: sphx-glr-footer
+    :class: sphx-glr-footer-example
+
 
 
-  .. container:: sphx-glr-download
+  .. container:: sphx-glr-download sphx-glr-download-python
 
      :download:`Download Python source code: plot_optim_OTreg.py <plot_optim_OTreg.py>`
 
 
 
-  .. container:: sphx-glr-download
+  .. container:: sphx-glr-download sphx-glr-download-jupyter
 
      :download:`Download Jupyter notebook: plot_optim_OTreg.ipynb <plot_optim_OTreg.ipynb>`
 
@@ -660,4 +590,4 @@ Solve EMD with Frobenius norm + entropic regularization
 
  .. rst-class:: sphx-glr-signature
 
-    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.readthedocs.io>`_
+    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_