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+"""Tests for module Unbalanced OT with entropy regularization"""
+
+# Author: Hicham Janati <hicham.janati@inria.fr>
+#
+# License: MIT License
+
+import numpy as np
+import ot
+
+
+def test_unbalanced():
+ # test generalized sinkhorn for unbalanced OT
+ n = 100
+ rng = np.random.RandomState(42)
+
+ x = rng.randn(n, 2)
+ a = ot.utils.unif(n)
+ b = ot.utils.unif(n) * 1.5
+
+ M = ot.dist(x, x)
+ epsilon = 1.
+ alpha = 1.
+ K = np.exp(- M / epsilon)
+
+ G, log = ot.unbalanced.sinkhorn_unbalanced(a, b, M, reg=epsilon, alpha=alpha,
+ stopThr=1e-10, log=True)
+
+ # check fixed point equations
+ fi = alpha / (alpha + epsilon)
+ v_final = (b / K.T.dot(log["u"])) ** fi
+ u_final = (a / K.dot(log["v"])) ** fi
+
+ np.testing.assert_allclose(
+ u_final, log["u"], atol=1e-05)
+ np.testing.assert_allclose(
+ v_final, log["v"], atol=1e-05)