Nonzero decomposable symmetrized tensors
نویسندگان
چکیده
منابع مشابه
Vanishing of Doubly Symmetrized Tensors
Symmetrizations of tensors by irreducible characters of the symmetric group serve as natural analogues of symmetric and skew-symmetric tensors. The question of when a symmetrized decomposable tensor is non-zero is intimately related to the rank partition of a matroid extracted from the tensor. In this paper we characterize the non-vanishing of the symmetrization of certain partially symmetrized...
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Many idealized problems in signal processing, machine learning and statistics can be reduced to the problem of finding the symmetric canonical decomposition of an underlying symmetric and orthogonally decomposable (SOD) tensor. Drawing inspiration from the matrix case, the successive rank-one approximations (SROA) scheme has been proposed and shown to yield this tensor decomposition exactly, an...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1977
ISSN: 0024-3795
DOI: 10.1016/0024-3795(77)90067-2