def test_max_truncation_error_relative(self):
absolute = np.diag([2.0, 1.0, 0.2, 0.1])
relative = np.diag([2.0, 1.0, 0.2, 0.1])
max_truncation_err = 0.2
_, _, _, trunc_sv_absolute = decompositions.svd(
tf,
absolute,
1,
max_truncation_error=max_truncation_err,
relative=False)
_, _, _, trunc_sv_relative = decompositions.svd(
tf, relative, 1, max_truncation_error=max_truncation_err, relative=True)
np.testing.assert_almost_equal(trunc_sv_absolute, [0.1])
np.testing.assert_almost_equal(trunc_sv_relative, [0.2, 0.1])
def test_expected_shapes(self): val = tf.zeros((2, 3, 4, 5)) u, s, vh, _ = decompositions.svd(tf, val, 2) self.assertEqual(u.shape, (2, 3, 6)) self.assertEqual(s.shape, (6,)) self.assertAllClose(s, np.zeros(6)) self.assertEqual(vh.shape, (6, 4, 5))
def test_max_truncation_error(self):
random_matrix = np.random.rand(10, 10)
unitary1, _, unitary2 = np.linalg.svd(random_matrix)
singular_values = np.array(range(10))
val = unitary1.dot(np.diag(singular_values).dot(unitary2.T))
u, s, vh, trun = decompositions.svd(
tf, val, 1, max_truncation_error=math.sqrt(5.1))
self.assertEqual(u.shape, (10, 7))
self.assertEqual(s.shape, (7,))
self.assertAllClose(s, np.arange(9, 2, -1))
self.assertEqual(vh.shape, (7, 10))
self.assertAllClose(trun, np.arange(2, -1, -1))
def svd(
self,
tensor: Tensor,
pivot_axis: int = -1,
max_singular_values: Optional[int] = None,
max_truncation_error: Optional[float] = None,
relative: Optional[bool] = False
) -> Tuple[Tensor, Tensor, Tensor, Tensor]:
return decompositions.svd(tf,
tensor,
pivot_axis,
max_singular_values,
max_truncation_error,
relative=relative)