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What is Symmetric Tensors and Symmetric Tensor Rank about?

This paper explores the properties of symmetric tensors and their decomposition into symmetric sums of outer products of vectors, defining concepts such as symmetric rank and generic symmetric rank. It establishes the existence of symmetric outer product decompositions for symmetric tensors and discusses the implications for various applications, particularly in signal processing and data analysis. The authors also highlight the need for better understanding of symmetric tensors in the literature, especiall

Author

jkljlj

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EN