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math.NA2015★ 4 cited
Tensor Deflation for CANDECOMP/PARAFAC. Part 3: Rank Splitting
Anh-Huy Phan, Petr Tichavsky, Andrzej Cichocki
CANDECOMP/PARAFAC (CPD) approximates multiway data by sum of rank-1 tensors. Our recent study has presented a method to rank-1 tensor deflation, i.e. sequential extraction of the r…
math.NA2015★ 19 cited
Regularized Computation of Approximate Pseudoinverse of Large Matrices Using Low-Rank Tensor Train Decompositions
Namgil Lee, Andrzej Cichocki
We propose a new method for low-rank approximation of Moore-Penrose pseudoinverses (MPPs) of large-scale matrices using tensor networks. The computed pseudoinverses can be useful f…