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106 | import numpy as np
import tensorly as tl
from ..tenalg import khatri_rao
from ..kruskal_tensor import kruskal_to_tensor, kruskal_to_unfolded, kruskal_to_vec
from ..base import unfold, tensor_to_vec
# Author: Jean Kossaifi <jean.kossaifi+tensors@gmail.com>
def test_kruskal_to_tensor():
"""Test for kruskal_to_tensor."""
U1 = np.reshape(np.arange(1, 10), (3, 3))
U2 = np.reshape(np.arange(10, 22), (4, 3))
U3 = np.reshape(np.arange(22, 28), (2, 3))
U4 = np.reshape(np.arange(28, 34), (2, 3))
U = [tl.tensor(t) for t in [U1, U2, U3, U4]]
true_res = tl.tensor([[[[ 46754., 51524.],
[ 52748., 58130.]],
[[ 59084., 65114.],
[ 66662., 73466.]],
[[ 71414., 78704.],
[ 80576., 88802.]],
[[ 83744., 92294.],
[ 94490., 104138.]]],
[[[ 113165., 124784.],
[ 127790., 140912.]],
[[ 143522., 158264.],
[ 162080., 178730.]],
[[ 173879., 191744.],
[ 196370., 216548.]],
[[ 204236., 225224.],
[ 230660., 254366.]]],
[[[ 179576., 198044.],
[ 202832., 223694.]],
[[ 227960., 251414.],
[ 257498., 283994.]],
[[ 276344., 304784.],
[ 312164., 344294.]],
[[ 324728., 358154.],
[ 366830., 404594.]]]])
res = kruskal_to_tensor(U)
tl.assert_array_equal(res, true_res, err_msg='Khatri-rao incorrectly transformed into full tensor.')
columns = 4
rows = [3, 4, 2]
matrices = [tl.tensor(np.arange(k * columns).reshape((k, columns))) for k in rows]
tensor = kruskal_to_tensor(matrices)
for i in range(len(rows)):
unfolded = unfold(tensor, mode=i)
U_i = matrices.pop(i)
reconstructed = tl.dot(U_i, tl.transpose(khatri_rao(matrices)))
tl.assert_array_almost_equal(reconstructed, unfolded)
matrices.insert(i, U_i)
def test_kruskal_to_tensor_with_weights():
A = tl.reshape(tl.arange(1,5), (2,2))
B = tl.reshape(tl.arange(5,9), (2,2))
weights = tl.tensor([2,-1])
out = kruskal_to_tensor([A,B], weights=weights)
expected = tl.tensor([[-2,-2], [6, 10]]) # computed by hand
tl.assert_array_equal(out, expected)
def test_kruskal_to_unfolded():
"""Test for kruskal_to_unfolded.
!!Assumes that kruskal_to_tensor and unfold are properly tested and work!!
"""
U1 = np.reshape(np.arange(1, 10), (3, 3))
U2 = np.reshape(np.arange(10, 22), (4, 3))
U3 = np.reshape(np.arange(22, 28), (2, 3))
U4 = np.reshape(np.arange(28, 34), (2, 3))
U = [tl.tensor(t) for t in [U1, U2, U3, U4]]
full_tensor = kruskal_to_tensor(U)
for mode in range(4):
true_res = unfold(full_tensor, mode)
res = kruskal_to_unfolded(U, mode)
tl.assert_array_equal(true_res, res, err_msg='khatri_rao product unfolded incorrectly for mode {}.'.format(mode))
def test_kruskal_to_vec():
"""Test for kruskal_to_vec"""
U1 = np.reshape(np.arange(1, 10), (3, 3))
U2 = np.reshape(np.arange(10, 22), (4, 3))
U3 = np.reshape(np.arange(22, 28), (2, 3))
U4 = np.reshape(np.arange(28, 34), (2, 3))
U = [tl.tensor(t) for t in [U1, U2, U3, U4]]
full_tensor = kruskal_to_tensor(U)
true_res = tensor_to_vec(full_tensor)
res = kruskal_to_vec(U)
tl.assert_array_equal(true_res, res, err_msg='khatri_rao product converted incorrectly to vec.')
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