tensorly.cp_tensor.cp_normalize

cp_normalize(cp_tensor)[source]

Returns cp_tensor with factors normalised to unit length

Turns factors = [|U_1, ... U_n|] into [weights; |V_1, ... V_n|], where the columns of each V_k are normalized to unit Euclidean length from the columns of U_k with the normalizing constants absorbed into weights. In the special case of a symmetric tensor, weights holds the eigenvalues of the tensor.

Parameters:

cp_tensorCPTensor = (weight, factors)

factors is list of matrices, all with the same number of columns i.e.:

for u in U:
    u[i].shape == (s_i, R)

where R is fixed while s_i can vary with i

Returns:

CPTensor = (normalisation_weights, normalised_factors)