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"""Tests for module gromov """
# Author: Erwan Vautier <erwan.vautier@gmail.com>
# Nicolas Courty <ncourty@irisa.fr>
#
# License: MIT License
import numpy as np
import ot
def test_gromov():
n_samples = 50 # nb samples
mu_s = np.array([0, 0])
cov_s = np.array([[1, 0], [0, 1]])
xs = ot.datasets.get_2D_samples_gauss(n_samples, mu_s, cov_s)
xt = xs[::-1].copy()
p = ot.unif(n_samples)
q = ot.unif(n_samples)
C1 = ot.dist(xs, xs)
C2 = ot.dist(xt, xt)
C1 /= C1.max()
C2 /= C2.max()
G = ot.gromov.gromov_wasserstein(C1, C2, p, q, 'square_loss')
# check constratints
np.testing.assert_allclose(
p, G.sum(1), atol=1e-04) # cf convergence gromov
np.testing.assert_allclose(
q, G.sum(0), atol=1e-04) # cf convergence gromov
gw, log = ot.gromov.gromov_wasserstein2(C1, C2, p, q, 'kl_loss', log=True)
G = log['T']
np.testing.assert_allclose(gw, 0, atol=1e-1, rtol=1e-1)
# check constratints
np.testing.assert_allclose(
p, G.sum(1), atol=1e-04) # cf convergence gromov
np.testing.assert_allclose(
q, G.sum(0), atol=1e-04) # cf convergence gromov
def test_entropic_gromov():
n_samples = 50 # nb samples
mu_s = np.array([0, 0])
cov_s = np.array([[1, 0], [0, 1]])
xs = ot.datasets.get_2D_samples_gauss(n_samples, mu_s, cov_s)
xt = xs[::-1].copy()
p = ot.unif(n_samples)
q = ot.unif(n_samples)
C1 = ot.dist(xs, xs)
C2 = ot.dist(xt, xt)
C1 /= C1.max()
C2 /= C2.max()
G = ot.gromov.entropic_gromov_wasserstein(
C1, C2, p, q, 'square_loss', epsilon=5e-4)
# check constratints
np.testing.assert_allclose(
p, G.sum(1), atol=1e-04) # cf convergence gromov
np.testing.assert_allclose(
q, G.sum(0), atol=1e-04) # cf convergence gromov
gw, log = ot.gromov.entropic_gromov_wasserstein2(
C1, C2, p, q, 'kl_loss', epsilon=1e-2, log=True)
G = log['T']
np.testing.assert_allclose(gw, 0, atol=1e-1, rtol=1e-1)
# check constratints
np.testing.assert_allclose(
p, G.sum(1), atol=1e-04) # cf convergence gromov
np.testing.assert_allclose(
q, G.sum(0), atol=1e-04) # cf convergence gromov
def test_gromov_barycenter():
ns = 50
nt = 60
Xs, ys = ot.datasets.get_data_classif('3gauss', ns)
Xt, yt = ot.datasets.get_data_classif('3gauss2', nt)
C1 = ot.dist(Xs)
C2 = ot.dist(Xt)
n_samples = 3
Cb = ot.gromov.gromov_barycenters(n_samples, [C1, C2],
[ot.unif(ns), ot.unif(nt)
], ot.unif(n_samples), [.5, .5],
'square_loss', # 5e-4,
max_iter=100, tol=1e-3)
np.testing.assert_allclose(Cb.shape, (n_samples, n_samples))
Cb2 = ot.gromov.gromov_barycenters(n_samples, [C1, C2],
[ot.unif(ns), ot.unif(nt)
], ot.unif(n_samples), [.5, .5],
'kl_loss', # 5e-4,
max_iter=100, tol=1e-3)
np.testing.assert_allclose(Cb2.shape, (n_samples, n_samples))
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