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cs.IT2026
Equivalence of Fixed-Rank and Rank-One Even-Order Symmetric Tensor Factorization
Ruba Hussen Morsi, Anas A. Rahman
In the recent work of Barbier, Ko, and the second present author on sublinear-rank symmetric matrix factorization [Math. Stat. Learn. 9 (2026), 1-68], a key result is that, in the…
cs.IT2024
A multiscale cavity method for sublinear-rank symmetric matrix factorization
Jean Barbier, Justin Ko, Anas A. Rahman
We consider a statistical model for symmetric matrix factorization with additive Gaussian noise in the high-dimensional regime, where the rank of the signal matrix to infer sca…