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math.OC2024
-norm rank-one symmetric matrix factorization has no spurious second-order stationary points
Jiewen Guan, Anthony Man-Cho So
This paper studies the nonsmooth optimization landscape of the -norm rank-one symmetric matrix factorization problem using tools from second-order variational analysis. Spe…
math.OC2024
On subdifferential chain rule of matrix factorization and beyond
Jiewen Guan, Anthony Man-Cho So
In this paper, we study equality-type Clarke subdifferential chain rules of matrix factorization and factorization machine. Specifically, we show for these problems that provided t…