diff options
Diffstat (limited to 'examples/barycenters/plot_free_support_barycenter.py')
| -rw-r--r-- | examples/barycenters/plot_free_support_barycenter.py | 28 |
1 files changed, 25 insertions, 3 deletions
diff --git a/examples/barycenters/plot_free_support_barycenter.py b/examples/barycenters/plot_free_support_barycenter.py index 226dfeb..f4a13dd 100644 --- a/examples/barycenters/plot_free_support_barycenter.py +++ b/examples/barycenters/plot_free_support_barycenter.py @@ -4,13 +4,14 @@ 2D free support Wasserstein barycenters of distributions ======================================================== -Illustration of 2D Wasserstein barycenters if distributions are weighted +Illustration of 2D Wasserstein and Sinkhorn barycenters if distributions are weighted sum of diracs. """ # Authors: Vivien Seguy <vivien.seguy@iip.ist.i.kyoto-u.ac.jp> # Rémi Flamary <remi.flamary@polytechnique.edu> +# Eduardo Fernandes Montesuma <eduardo.fernandes-montesuma@universite-paris-saclay.fr> # # License: MIT License @@ -48,7 +49,7 @@ pl.title('Distributions') # %% -# Compute free support barycenter +# Compute free support Wasserstein barycenter # ------------------------------- k = 200 # number of Diracs of the barycenter @@ -58,7 +59,28 @@ b = np.ones((k,)) / k # weights of the barycenter (it will not be optimized, on X = ot.lp.free_support_barycenter(measures_locations, measures_weights, X_init, b) # %% -# Plot the barycenter +# Plot the Wasserstein barycenter +# --------- + +pl.figure(2, (8, 3)) +pl.scatter(x1[:, 0], x1[:, 1], alpha=0.5) +pl.scatter(x2[:, 0], x2[:, 1], alpha=0.5) +pl.scatter(X[:, 0], X[:, 1], s=b * 1000, marker='s', label='2-Wasserstein barycenter') +pl.title('Data measures and their barycenter') +pl.legend(loc="lower right") +pl.show() + +# %% +# Compute free support Sinkhorn barycenter + +k = 200 # number of Diracs of the barycenter +X_init = np.random.normal(0., 1., (k, d)) # initial Dirac locations +b = np.ones((k,)) / k # weights of the barycenter (it will not be optimized, only the locations are optimized) + +X = ot.bregman.free_support_sinkhorn_barycenter(measures_locations, measures_weights, X_init, 20, b, numItermax=15) + +# %% +# Plot the Wasserstein barycenter # --------- pl.figure(2, (8, 3)) |