I am interested in the lowrank approximation of a binary(01) thirdorder tensor. Does anyone know how to define its tensor nuclear norm based on whatever tensor decomposition methods? Could anyone provide some useful references?
1 Answer
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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 HigherOrder Tensors. I hope you find an answer to your question.

$\begingroup$ This seems like a comment, not an answer. $\endgroup$– LSpiceCommented Jan 8, 2023 at 1:42

$\begingroup$ Many thanks! It is a very useful paper. $\endgroup$ Commented Jan 8, 2023 at 2:10

1$\begingroup$ @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. $\endgroup$ Commented Jan 8, 2023 at 2:30