def test_dense_matrix_global_center_and_scale(self):
origin_matrix = np.array([[1, 2, 3, 4],
[5, 6, 7, 8],
[9, 10, 11, 12]])
centered_and_scaled_matrix, centered_and_scaled_matrix_mean, centered_and_scaled_matrix_std = center_and_scale(origin_matrix, 'global')
expected_matrix = [[-1.59325501, -1.30357228, -1.01388955, -0.72420682],
[-0.43452409, -0.14484136, 0.14484136, 0.43452409],
[ 0.72420682, 1.01388955, 1.30357228, 1.59325501]]
expected_matrix_mean = 6.5
expected_matrix_std = 3.45205252953
self.assertTrue(np.allclose(centered_and_scaled_matrix, expected_matrix))
self.assertTrue(np.allclose(centered_and_scaled_matrix_mean, expected_matrix_mean))
self.assertTrue(np.allclose(centered_and_scaled_matrix_std, expected_matrix_std))
def test_dense_matrix_none_center_and_scale(self):
origin_matrix = np.array([[1, 2, 3, 4],
[5, 6, 7, 8],
[9, 10, 11, 12]])
centered_and_scaled_matrix, centered_and_scaled_matrix_mean, centered_and_scaled_matrix_std = center_and_scale(origin_matrix, 'none')
self.assertTrue(np.allclose(centered_and_scaled_matrix, origin_matrix))
self.assertEqual(centered_and_scaled_matrix_mean, None)
self.assertEqual(centered_and_scaled_matrix_std, None)
def test_dense_matrix_cols_center_and_scale(self):
origin_matrix = np.array([[1, 2, 3, 4],
[5, 6, 7, 8],
[9, 10, 11, 12]])
centered_and_scaled_matrix, centered_and_scaled_matrix_mean, centered_and_scaled_matrix_std = center_and_scale(origin_matrix, 'cols')
expected_matrix = [[-1.22474487, -1.22474487, -1.22474487, -1.22474487],
[ 0., 0., 0., 0. ],
[ 1.22474487, 1.22474487, 1.22474487, 1.22474487]]
expected_matrix_mean = [5., 6., 7., 8.]
expected_matrix_std = [3.26598632, 3.26598632, 3.26598632, 3.26598632]
self.assertTrue(np.allclose(centered_and_scaled_matrix, expected_matrix))
self.assertTrue(np.allclose(centered_and_scaled_matrix_mean, expected_matrix_mean))
self.assertTrue(np.allclose(centered_and_scaled_matrix_std, expected_matrix_std))
def test_dense_matrix_rows_center_and_scale_with_no_mean_and_std(self):
origin_matrix = np.array([[1, 2, 3, 4],
[5, 6, 7, 8],
[9, 10, 11, 12]])
centered_and_scaled_matrix, centered_and_scaled_matrix_mean, centered_and_scaled_matrix_std = center_and_scale(origin_matrix, 'rows', with_mean=False, with_std=False)
self.assertTrue(np.allclose(centered_and_scaled_matrix, origin_matrix))
self.assertEqual(centered_and_scaled_matrix_mean, None)
self.assertEqual(centered_and_scaled_matrix_std, None)
def test_dense_matrix_rows_center_and_scale_with_std_only(self):
origin_matrix = np.array([[1, 2, 3, 4],
[5, 6, 7, 8],
[9, 10, 11, 12]])
centered_and_scaled_matrix, centered_and_scaled_matrix_mean, centered_and_scaled_matrix_std = center_and_scale(origin_matrix, 'rows', with_mean=False)
expected_matrix = [[ 0.89442719, 1.78885438, 2.68328157, 3.57770876],
[ 4.47213595, 5.36656315, 6.26099034, 7.15541753],
[ 8.04984472, 8.94427191, 9.83869910, 10.73312629]]
self.assertTrue(np.allclose(centered_and_scaled_matrix, expected_matrix))
self.assertEqual(centered_and_scaled_matrix_mean, None)
def test_dense_matrix_rows_center_and_scale_with_mean_only(self):
origin_matrix = np.array([[1, 2, 3, 4],
[5, 6, 7, 8],
[9, 10, 11, 12]])
centered_and_scaled_matrix, centered_and_scaled_matrix_mean, centered_and_scaled_matrix_std = center_and_scale(origin_matrix, 'rows', with_std=False)
expected_matrix = np.array([[-1.5, -0.5, 0.5, 1.5],
[-1.5, -0.5, 0.5, 1.5],
[-1.5, -0.5, 0.5, 1.5]])
self.assertTrue(np.allclose(centered_and_scaled_matrix, expected_matrix))
self.assertEqual(centered_and_scaled_matrix_std, None)
def test_dense_matrix_rows_center_and_scale(self):
origin_matrix = np.array([[1, 2, 3, 4],
[5, 6, 7, 8],
[9, 10, 11, 12]])
centered_and_scaled_matrix, centered_and_scaled_matrix_mean, centered_and_scaled_matrix_std = center_and_scale(origin_matrix, 'rows')
expected_matrix = [[-1.34164079, -0.4472136, 0.4472136, 1.34164079],
[-1.34164079, -0.4472136, 0.4472136, 1.34164079],
[-1.34164079, -0.4472136, 0.4472136, 1.34164079]]
expected_matrix_mean = [2.5, 6.5, 10.5]
expected_matrix_std = [1.11803399, 1.11803399, 1.11803399]
self.assertTrue(np.allclose(centered_and_scaled_matrix, expected_matrix))
self.assertTrue(np.allclose(centered_and_scaled_matrix_mean, expected_matrix_mean))
self.assertTrue(np.allclose(centered_and_scaled_matrix_std, expected_matrix_std))