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- W4301103699 abstract "We prove that the general tensor of size 2^n and rank k has a unique decomposition as the sum of decomposable tensors if k<= 0.9997 (2^n)/(n+1) (the constant 1 being the optimal value). Similarly, the general tensor of size 3^n and rank k has a unique decomposition as the sum of decomposable tensors if k<= 0.998 (3^n)/(2n+1) (the constant 1 being the optimal value). Some results of this flavor are obtained for tensors of any size, but the explicit bounds obtained are weaker." @default.
- W4301103699 created "2022-10-04" @default.
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- W4301103699 date "2013-03-27" @default.
- W4301103699 modified "2023-10-18" @default.
- W4301103699 title "Refined methods for the identifiability of tensors" @default.
- W4301103699 doi "https://doi.org/10.48550/arxiv.1303.6915" @default.
- W4301103699 hasPublicationYear "2013" @default.
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