Talk:Higher-order singular value decomposition
Latest comment: 5 years ago by Ntheazk in topic Request for cleanup
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Request for cleanup
editIt would be nice if someone could rewrite this article without relying on arbitrary bases, the mathematical equivalent of writing in crayon.
Answer: Mathematically, there is hardly anything to tell. If A is a tensor living in a tensor product of vector spaces, then there exists a coordinate representation ("core tensor") w.r.t. orthonormal bases such that it satisfies "all-orthogonality" and some notion of singular values are in descending order; see De Lathauwer, De Moor and Vandewalle's paper. The interesting part is figuring out these bases if someone hands the tensor to you as a coordinate array or as operator. — Preceding unsigned comment added by Ntheazk (talk • contribs) 18:58, 12 August 2019 (UTC)