big update examples

1 files changed, 194 insertions, 109 deletions

diff --git a/docs/source/auto_examples/plot_barycenter_lp_vs_entropic.rst b/docs/source/auto_examples/plot_barycenter_lp_vs_entropic.rst
index bd1c710..5e83fbf 100644
--- a/docs/source/auto_examples/plot_barycenter_lp_vs_entropic.rst
+++ b/docs/source/auto_examples/plot_barycenter_lp_vs_entropic.rst
@@ -1,6 +1,12 @@
+.. only:: html
+
+    .. note::
+        :class: sphx-glr-download-link-note
 
+        Click :ref:`here <sphx_glr_download_auto_examples_plot_barycenter_lp_vs_entropic.py>`     to download the full example code
+    .. rst-class:: sphx-glr-example-title
 
-.. _sphx_glr_auto_examples_plot_barycenter_lp_vs_entropic.py:
+    .. _sphx_glr_auto_examples_plot_barycenter_lp_vs_entropic.py:
 
 
 =================================================================================
@@ -20,8 +26,7 @@ SIAM Journal on Scientific Computing, 37(2), A1111-A1138.
 
 
 
-
-.. code-block:: python
+.. code-block:: default
 
 
     # Author: Remi Flamary <remi.flamary@unice.fr>
@@ -43,15 +48,13 @@ SIAM Journal on Scientific Computing, 37(2), A1111-A1138.
 
 
 
+
 Gaussian Data
 -------------
 
 
+.. code-block:: default
 
-.. code-block:: python
-
-
-    #%% parameters
 
     problems = []
 
@@ -74,7 +77,16 @@ Gaussian Data
     M /= M.max()
 
 
-    #%% plot the distributions
+
+
+
+
+
+
+
+
+.. code-block:: default
+
 
     pl.figure(1, figsize=(6.4, 3))
     for i in range(n_distributions):
@@ -82,7 +94,19 @@ Gaussian Data
     pl.title('Distributions')
     pl.tight_layout()
 
-    #%% barycenter computation
+
+
+
+.. image:: /auto_examples/images/sphx_glr_plot_barycenter_lp_vs_entropic_001.png
+    :class: sphx-glr-single-img
+
+
+
+
+
+
+.. code-block:: default
+
 
     alpha = 0.5  # 0<=alpha<=1
     weights = np.array([1 - alpha, alpha])
@@ -121,62 +145,55 @@ Gaussian Data
 
 
 
-.. rst-class:: sphx-glr-horizontal
-
-
-    *
-
-      .. image:: /auto_examples/images/sphx_glr_plot_barycenter_lp_vs_entropic_001.png
-            :scale: 47
-
-    *
-
-      .. image:: /auto_examples/images/sphx_glr_plot_barycenter_lp_vs_entropic_002.png
-            :scale: 47
+.. image:: /auto_examples/images/sphx_glr_plot_barycenter_lp_vs_entropic_002.png
+    :class: sphx-glr-single-img
 
 
 .. rst-class:: sphx-glr-script-out
 
- Out::
+ Out:
+
+ .. code-block:: none
 
-    Elapsed time : 0.010712385177612305 s
+    Elapsed time : 0.0049059391021728516 s
     Primal Feasibility  Dual Feasibility    Duality Gap         Step             Path Parameter      Objective          
     1.0                 1.0                 1.0                 -                1.0                 1700.336700337      
-    0.006776453137632   0.006776453137633   0.006776453137633   0.9932238647293  0.006776453137633   125.6700527543      
-    0.004018712867874   0.004018712867874   0.004018712867874   0.4301142633     0.004018712867874   12.26594150093      
-    0.001172775061627   0.001172775061627   0.001172775061627   0.7599932455029  0.001172775061627   0.3378536968897     
-    0.0004375137005385  0.0004375137005385  0.0004375137005385  0.6422331807989  0.0004375137005385  0.1468420566358     
-    0.000232669046734   0.0002326690467341  0.000232669046734   0.5016999460893  0.000232669046734   0.09381703231432    
-    7.430121674303e-05  7.430121674303e-05  7.430121674303e-05  0.7035962305812  7.430121674303e-05  0.0577787025717     
-    5.321227838876e-05  5.321227838875e-05  5.321227838876e-05  0.308784186441   5.321227838876e-05  0.05266249477203    
-    1.990900379199e-05  1.990900379196e-05  1.990900379199e-05  0.6520472013244  1.990900379199e-05  0.04526054405519    
-    6.305442046799e-06  6.30544204682e-06   6.3054420468e-06    0.7073953304075  6.305442046798e-06  0.04237597591383    
-    2.290148391577e-06  2.290148391582e-06  2.290148391578e-06  0.6941812711492  2.29014839159e-06   0.041522849321      
-    1.182864875387e-06  1.182864875406e-06  1.182864875427e-06  0.508455204675   1.182864875445e-06  0.04129461872827    
-    3.626786381529e-07  3.626786382468e-07  3.626786382923e-07  0.7101651572101  3.62678638267e-07   0.04113032448923    
-    1.539754244902e-07  1.539754249276e-07  1.539754249356e-07  0.6279322066282  1.539754253892e-07  0.04108867636379    
-    5.193221323143e-08  5.193221463044e-08  5.193221462729e-08  0.6843453436759  5.193221708199e-08  0.04106859618414    
-    1.888205054507e-08  1.888204779723e-08  1.88820477688e-08   0.6673444085651  1.888205650952e-08  0.041062141752      
-    5.676855206925e-09  5.676854518888e-09  5.676854517651e-09  0.7281705804232  5.676885442702e-09  0.04105958648713    
-    3.501157668218e-09  3.501150243546e-09  3.501150216347e-09  0.414020345194   3.501164437194e-09  0.04105916265261    
-    1.110594251499e-09  1.110590786827e-09  1.11059083379e-09   0.6998954759911  1.110636623476e-09  0.04105870073485    
-    5.770971626386e-10  5.772456113791e-10  5.772456200156e-10  0.4999769658132  5.77013379477e-10   0.04105859769135    
-    1.535218204536e-10  1.536993317032e-10  1.536992771966e-10  0.7516471627141  1.536205005991e-10  0.04105851679958    
-    6.724209350756e-11  6.739211232927e-11  6.739210470901e-11  0.5944802416166  6.735465384341e-11  0.04105850033766    
-    1.743382199199e-11  1.736445896691e-11  1.736448490761e-11  0.7573407808104  1.734254328931e-11  0.04105849088824    
+    0.006776453137632   0.006776453137632   0.006776453137632   0.9932238647293  0.006776453137632   125.6700527543      
+    0.004018712867873   0.004018712867873   0.004018712867873   0.4301142633001  0.004018712867873   12.26594150092      
+    0.001172775061627   0.001172775061627   0.001172775061627   0.7599932455027  0.001172775061627   0.3378536968898     
+    0.0004375137005386  0.0004375137005386  0.0004375137005386  0.6422331807989  0.0004375137005386  0.1468420566359     
+    0.0002326690467339  0.0002326690467339  0.0002326690467339  0.5016999460898  0.0002326690467339  0.09381703231428    
+    7.430121674299e-05  7.4301216743e-05    7.430121674299e-05  0.7035962305811  7.430121674299e-05  0.05777870257169    
+    5.321227838943e-05  5.321227838945e-05  5.321227838944e-05  0.3087841864307  5.321227838944e-05  0.05266249477219    
+    1.990900379216e-05  1.99090037922e-05   1.990900379216e-05  0.6520472013271  1.990900379216e-05  0.04526054405523    
+    6.305442046834e-06  6.305442046856e-06  6.305442046837e-06  0.7073953304085  6.305442046837e-06  0.04237597591384    
+    2.290148391591e-06  2.290148391631e-06  2.290148391602e-06  0.6941812711476  2.29014839161e-06   0.04152284932101    
+    1.182864875578e-06  1.182864875548e-06  1.182864875555e-06  0.5084552046229  1.182864875567e-06  0.04129461872829    
+    3.626786386894e-07  3.626786386985e-07  3.626786386845e-07  0.7101651569095  3.626786385995e-07  0.0411303244893     
+    1.539754244475e-07  1.539754247164e-07  1.539754247197e-07  0.6279322077522  1.539754251915e-07  0.04108867636377    
+    5.193221608537e-08  5.19322169648e-08   5.193221696942e-08  0.6843453280956  5.193221892276e-08  0.04106859618454    
+    1.888205219929e-08  1.88820500654e-08   1.888205006369e-08  0.6673443828803  1.888205852187e-08  0.04106214175236    
+    5.676837529301e-09  5.676842740457e-09  5.676842761502e-09  0.7281712198286  5.676877044229e-09  0.04105958648535    
+    3.501170987746e-09  3.501167688027e-09  3.501167721804e-09  0.4140142115019  3.501183058995e-09  0.04105916265728    
+    1.110582426269e-09  1.110580273241e-09  1.110580239523e-09  0.6999003212726  1.110624310022e-09  0.04105870073273    
+    5.768753963318e-10  5.769422203363e-10  5.769421938248e-10  0.5002521235315  5.767522037401e-10  0.04105859764872    
+    1.534102102874e-10  1.535920569433e-10  1.535921107494e-10  0.7516900610544  1.535251083958e-10  0.04105851678411    
+    6.717475002202e-11  6.735435784522e-11  6.735430717133e-11  0.5944268235824  6.732253215483e-11  0.04105850033323    
+    1.751321118837e-11  1.74043080851e-11   1.740429001123e-11  0.7566075167358  1.736956306927e-11  0.0410584908946     
     Optimization terminated successfully.
-    Elapsed time : 2.883899211883545 s
+             Current function value: 0.041058    
+             Iterations: 22
+    Elapsed time : 2.149055242538452 s
 
 
-Dirac Data
-----------
 
 
+Stair Data
+----------
 
-.. code-block:: python
 
+.. code-block:: default
 
-    #%% parameters
 
     a1 = 1.0 * (x > 10) * (x < 50)
     a2 = 1.0 * (x > 60) * (x < 80)
@@ -193,7 +210,16 @@ Dirac Data
     M /= M.max()
 
 
-    #%% plot the distributions
+
+
+
+
+
+
+
+
+.. code-block:: default
+
 
     pl.figure(1, figsize=(6.4, 3))
     for i in range(n_distributions):
@@ -202,7 +228,19 @@ Dirac Data
     pl.tight_layout()
 
 
-    #%% barycenter computation
+
+
+
+.. image:: /auto_examples/images/sphx_glr_plot_barycenter_lp_vs_entropic_003.png
+    :class: sphx-glr-single-img
+
+
+
+
+
+
+.. code-block:: default
+
 
     alpha = 0.5  # 0<=alpha<=1
     weights = np.array([1 - alpha, alpha])
@@ -239,7 +277,50 @@ Dirac Data
     pl.title('Barycenters')
     pl.tight_layout()
 
-    #%% parameters
+
+
+
+
+.. image:: /auto_examples/images/sphx_glr_plot_barycenter_lp_vs_entropic_004.png
+    :class: sphx-glr-single-img
+
+
+.. rst-class:: sphx-glr-script-out
+
+ Out:
+
+ .. code-block:: none
+
+    Elapsed time : 0.008316993713378906 s
+    Primal Feasibility  Dual Feasibility    Duality Gap         Step             Path Parameter      Objective          
+    1.0                 1.0                 1.0                 -                1.0                 1700.336700337      
+    0.006776466288938   0.006776466288938   0.006776466288938   0.9932238515788  0.006776466288938   125.66492558        
+    0.004036918865472   0.004036918865472   0.004036918865472   0.4272973099325  0.004036918865472   12.347161701        
+    0.001219232687076   0.001219232687076   0.001219232687076   0.7496986855957  0.001219232687076   0.3243835647418     
+    0.0003837422984467  0.0003837422984467  0.0003837422984467  0.6926882608271  0.0003837422984467  0.1361719397498     
+    0.0001070128410194  0.0001070128410194  0.0001070128410194  0.7643889137854  0.0001070128410194  0.07581952832542    
+    0.0001001275033713  0.0001001275033714  0.0001001275033713  0.07058704838615 0.0001001275033713  0.07347394936346    
+    4.550897507807e-05  4.550897507807e-05  4.550897507807e-05  0.576117248486   4.550897507807e-05  0.05555077655034    
+    8.557124125834e-06  8.557124125853e-06  8.557124125835e-06  0.853592544106   8.557124125835e-06  0.0443981466023     
+    3.611995628666e-06  3.611995628643e-06  3.611995628672e-06  0.6002277331398  3.611995628673e-06  0.0428300776216     
+    7.590393750111e-07  7.590393750273e-07  7.590393750129e-07  0.8221486533655  7.590393750133e-07  0.04192322976247    
+    8.299929287077e-08  8.299929283415e-08  8.299929287126e-08  0.901746793884   8.299929287181e-08  0.04170825633295    
+    3.117560207452e-10  3.117560192413e-10  3.117560199213e-10  0.9970399692253  3.117560200234e-10  0.04168179329766    
+    1.559774508975e-14  1.559825507727e-14  1.559755309294e-14  0.9999499686993  1.559748033629e-14  0.04168169240444    
+    Optimization terminated successfully.
+             Current function value: 0.041682    
+             Iterations: 13
+    Elapsed time : 2.0333712100982666 s
+
+
+
+
+Dirac Data
+----------
+
+
+.. code-block:: default
+
 
     a1 = np.zeros(n)
     a2 = np.zeros(n)
@@ -262,7 +343,16 @@ Dirac Data
     M /= M.max()
 
 
-    #%% plot the distributions
+
+
+
+
+
+
+
+
+.. code-block:: default
+
 
     pl.figure(1, figsize=(6.4, 3))
     for i in range(n_distributions):
@@ -271,7 +361,19 @@ Dirac Data
     pl.tight_layout()
 
 
-    #%% barycenter computation
+
+
+
+.. image:: /auto_examples/images/sphx_glr_plot_barycenter_lp_vs_entropic_005.png
+    :class: sphx-glr-single-img
+
+
+
+
+
+
+.. code-block:: default
+
 
     alpha = 0.5  # 0<=alpha<=1
     weights = np.array([1 - alpha, alpha])
@@ -312,70 +414,45 @@ Dirac Data
 
 
 
-.. rst-class:: sphx-glr-horizontal
-
-
-    *
-
-      .. image:: /auto_examples/images/sphx_glr_plot_barycenter_lp_vs_entropic_003.png
-            :scale: 47
-
-    *
-
-      .. image:: /auto_examples/images/sphx_glr_plot_barycenter_lp_vs_entropic_004.png
-            :scale: 47
+.. image:: /auto_examples/images/sphx_glr_plot_barycenter_lp_vs_entropic_006.png
+    :class: sphx-glr-single-img
 
 
 .. rst-class:: sphx-glr-script-out
 
- Out::
+ Out:
 
-    Elapsed time : 0.014938592910766602 s
-    Primal Feasibility  Dual Feasibility    Duality Gap         Step             Path Parameter      Objective          
-    1.0                 1.0                 1.0                 -                1.0                 1700.336700337      
-    0.006776466288966   0.006776466288966   0.006776466288966   0.9932238515788  0.006776466288966   125.6649255808      
-    0.004036918865495   0.004036918865495   0.004036918865495   0.4272973099316  0.004036918865495   12.3471617011       
-    0.00121923268707    0.00121923268707    0.00121923268707    0.749698685599   0.00121923268707    0.3243835647408     
-    0.0003837422984432  0.0003837422984432  0.0003837422984432  0.6926882608284  0.0003837422984432  0.1361719397493     
-    0.0001070128410183  0.0001070128410183  0.0001070128410183  0.7643889137854  0.0001070128410183  0.07581952832518    
-    0.0001001275033711  0.0001001275033711  0.0001001275033711  0.07058704837812 0.0001001275033712  0.0734739493635     
-    4.550897507844e-05  4.550897507841e-05  4.550897507844e-05  0.5761172484828  4.550897507845e-05  0.05555077655047    
-    8.557124125522e-06  8.5571241255e-06    8.557124125522e-06  0.8535925441152  8.557124125522e-06  0.04439814660221    
-    3.611995628407e-06  3.61199562841e-06   3.611995628414e-06  0.6002277331554  3.611995628415e-06  0.04283007762152    
-    7.590393750365e-07  7.590393750491e-07  7.590393750378e-07  0.8221486533416  7.590393750381e-07  0.04192322976248    
-    8.299929287441e-08  8.299929286079e-08  8.299929287532e-08  0.9017467938799  8.29992928758e-08   0.04170825633295    
-    3.117560203449e-10  3.117560130137e-10  3.11756019954e-10   0.997039969226   3.11756019952e-10   0.04168179329766    
-    1.559749653711e-14  1.558073160926e-14  1.559756940692e-14  0.9999499686183  1.559750643989e-14  0.04168169240444    
-    Optimization terminated successfully.
-    Elapsed time : 2.642659902572632 s
-    Elapsed time : 0.002908945083618164 s
+ .. code-block:: none
+
+    Elapsed time : 0.001787424087524414 s
     Primal Feasibility  Dual Feasibility    Duality Gap         Step             Path Parameter      Objective          
     1.0                 1.0                 1.0                 -                1.0                 1700.336700337      
-    0.006774675520727   0.006774675520727   0.006774675520727   0.9932256422636  0.006774675520727   125.6956034743      
-    0.002048208707562   0.002048208707562   0.002048208707562   0.7343095368143  0.002048208707562   5.213991622123      
-    0.000269736547478   0.0002697365474781  0.0002697365474781  0.8839403501193  0.000269736547478   0.505938390389      
-    6.832109993943e-05  6.832109993944e-05  6.832109993944e-05  0.7601171075965  6.832109993943e-05  0.2339657807272     
-    2.437682932219e-05  2.43768293222e-05   2.437682932219e-05  0.6663448297475  2.437682932219e-05  0.1471256246325     
-    1.13498321631e-05   1.134983216308e-05  1.13498321631e-05   0.5553643816404  1.13498321631e-05   0.1181584941171     
-    3.342312725885e-06  3.342312725884e-06  3.342312725885e-06  0.7238133571615  3.342312725885e-06  0.1006387519747     
-    7.078561231603e-07  7.078561231509e-07  7.078561231604e-07  0.8033142552512  7.078561231603e-07  0.09474734646269    
-    1.966870956916e-07  1.966870954537e-07  1.966870954468e-07  0.752547917788   1.966870954633e-07  0.09354342735766    
-    4.19989524849e-10   4.199895164852e-10  4.199895238758e-10  0.9984019849375  4.19989523951e-10   0.09310367785861    
-    2.101015938666e-14  2.100625691113e-14  2.101023853438e-14  0.999949974425   2.101023691864e-14  0.09310274466458    
+    0.00677467552072    0.006774675520719   0.006774675520719   0.9932256422636  0.006774675520719   125.6956034741      
+    0.002048208707556   0.002048208707555   0.002048208707555   0.734309536815   0.002048208707555   5.213991622102      
+    0.0002697365474791  0.0002697365474791  0.0002697365474791  0.8839403501183  0.0002697365474791  0.5059383903908     
+    6.832109993919e-05  6.832109993918e-05  6.832109993918e-05  0.7601171075982  6.832109993918e-05  0.2339657807271     
+    2.437682932221e-05  2.437682932221e-05  2.437682932221e-05  0.6663448297463  2.437682932221e-05  0.1471256246325     
+    1.134983216308e-05  1.134983216308e-05  1.134983216308e-05  0.5553643816417  1.134983216308e-05  0.1181584941171     
+    3.342312725863e-06  3.34231272585e-06   3.342312725863e-06  0.7238133571629  3.342312725863e-06  0.1006387519746     
+    7.078561231536e-07  7.078561231537e-07  7.078561231535e-07  0.803314255252   7.078561231535e-07  0.09474734646268    
+    1.966870949422e-07  1.966870952674e-07  1.966870952717e-07  0.7525479180433  1.966870953014e-07  0.09354342735758    
+    4.199895266495e-10  4.199895367352e-10  4.19989526535e-10   0.9984019849265  4.199895265747e-10  0.09310367785861    
+    2.101053559204e-14  2.100331212975e-14  2.101054034304e-14  0.9999499736903  2.101053604307e-14  0.09310274466458    
     Optimization terminated successfully.
-    Elapsed time : 2.690450668334961 s
+             Current function value: 0.093103    
+             Iterations: 11
+    Elapsed time : 2.1853578090667725 s
 
 
-Final figure
-------------
 
 
+Final figure
+------------
 
 
-.. code-block:: python
 
+.. code-block:: default
 
-    #%% plot
 
     nbm = len(problems)
     nbm2 = (nbm // 2)
@@ -414,28 +491,36 @@ Final figure
 
 
 
-.. image:: /auto_examples/images/sphx_glr_plot_barycenter_lp_vs_entropic_006.png
-    :align: center
+.. image:: /auto_examples/images/sphx_glr_plot_barycenter_lp_vs_entropic_007.png
+    :class: sphx-glr-single-img
+
+
 
 
 
 
-**Total running time of the script:** ( 0 minutes  8.892 seconds)
+.. rst-class:: sphx-glr-timing
 
+   **Total running time of the script:** ( 0 minutes  7.697 seconds)
+
+
+.. _sphx_glr_download_auto_examples_plot_barycenter_lp_vs_entropic.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_barycenter_lp_vs_entropic.py <plot_barycenter_lp_vs_entropic.py>`
 
 
 
-  .. container:: sphx-glr-download
+  .. container:: sphx-glr-download sphx-glr-download-jupyter
 
      :download:`Download Jupyter notebook: plot_barycenter_lp_vs_entropic.ipynb <plot_barycenter_lp_vs_entropic.ipynb>`
 
@@ -444,4 +529,4 @@ Final figure
 
  .. 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>`_