def testCholesky(self):
# Tests the cholesky function
np.random.seed(8)
# generating two symmetric positive-definite tt-cores
L_1 = np.tril(np.random.normal(scale=2., size=(2, 2)))
L_2 = np.tril(np.random.normal(scale=2., size=(3, 3)))
K_1 = L_1.dot(L_1.T)
K_2 = L_2.dot(L_2.T)
K = np.kron(K_1, K_2)
initializer = tensor_train.TensorTrain([K_1[None, :, :, None],
K_2[None, :, :, None]],
tt_ranks=7*[1])
kron_mat = variables.get_variable('kron_mat', initializer=initializer)
init_op = tf.global_variables_initializer()
with self.test_session() as sess:
sess.run(init_op)
desired = np.linalg.cholesky(K)
actual = ops.full(kr.cholesky(kron_mat)).eval()
self.assertAllClose(desired, actual)
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