257 citations · 873 across the 16 of their papers we have counts for
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math.NA2010★ 7 cited
Fast truncation of mode ranks for bilinear tensor operations
Dmitry Savostyanov, Eugene Tyrtyshnikov, Nikolay Zamarashkin
We propose a fast algorithm for mode rank truncation of the result of a bilinear operation on 3-tensors given in the Tucker or canonical form. If the arguments and the result have…
math.NA2010★ 27 cited
Wedderburn rank reduction and Krylov subspace method for tensor approximation. Part 1: Tucker case
S. A. Goreinov, I. V. Oseledets, D. V. Savostyanov
New algorithms are proposed for the Tucker approximation of a 3-tensor, that access it using only the tensor-by-vector-by-vector multiplication subroutine. In the matrix case, Kryl…