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I am interested in the low-rank approximation of a binary(01) third-order tensor. Does anyone know how to define its tensor nuclear norm based on whatever tensor decomposition methods? Could anyone provide some useful references?

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I apologize that I'm not more knowledgeable about tensor calculus, but I did find this on arXiv: Friedland and Lim - Nuclear Norm of Higher-Order Tensors. I hope you find an answer to your question.

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  • $\begingroup$ This seems like a comment, not an answer. $\endgroup$
    – LSpice
    Commented Jan 8, 2023 at 1:42
  • $\begingroup$ Many thanks! It is a very useful paper. $\endgroup$
    – Yang Ming
    Commented Jan 8, 2023 at 2:10
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    $\begingroup$ @LSpice Users need 50 reputation to comment on other people's posts, including questions, so Joey W didn't have the ability to comment. See here. $\endgroup$
    – Robert Furber
    Commented Jan 8, 2023 at 2:30

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