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- W2964053826 abstract "For a given symmetric tensor, we aim at finding a new one whose symmetric rank is small and that is close to the given one. There exist linear relations among the entries of low rank symmetric tensors. Such linear relations can be expressed by polynomials, which are called generating polynomials. We propose a new approach for computing low rank approximations by using generating polynomials. First, we estimate a set of generating polynomials that are approximately satisfied by the given tensor. Second, we find approximate common zeros of these polynomials. Third, we use these zeros to construct low rank tensor approximations. If the symmetric tensor to be approximated is sufficiently close to a low rank one, we show that the computed low rank approximations are quasi-optimal." @default.
- W2964053826 created "2019-07-30" @default.
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- W2964053826 date "2017-01-01" @default.
- W2964053826 modified "2023-10-16" @default.
- W2964053826 title "Low Rank Symmetric Tensor Approximations" @default.
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- W2964053826 doi "https://doi.org/10.1137/16m1107528" @default.
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