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- W3184445344 abstract "Cayley's first hyperdeterminant is a straightforward generalization of determinants for tensors. We prove that nonzero hyperdeterminants imply lower bounds on some types of tensor ranks. This result applies to the slice rank introduced by Tao and more generally to partition ranks introduced by Naslund. As an application, we show upper bounds on some generalizations of colored sum-free sets based on constraints related to order polytopes." @default.
- W3184445344 created "2021-08-02" @default.
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- W3184445344 date "2023-01-01" @default.
- W3184445344 modified "2023-09-26" @default.
- W3184445344 title "Tensor slice rank and Cayley's first hyperdeterminant" @default.
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- W3184445344 doi "https://doi.org/10.1016/j.laa.2022.09.027" @default.
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