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math.OC2025
Binno: A 1st-order method for Bi-level Nonconvex Nonsmooth Optimization for Matrix Factorizations
Laura Selicato, Flavia Esposito, Andersen Ang
Nonconvex and nonsmooth bi-level optimization poses critical theoretical challenges, while arising in several applications. In this work, we develop a method for nonconvex, nonsmoo…
math.OC2025
Optimization on the Oblique Manifold for Sparse Simplex Constraints via Multiplicative Updates
Flavia Esposito, Andersen Ang
Low-rank optimization problems with sparse simplex constraints involve variables that must satisfy nonnegativity, sparsity, and sum-to-1 conditions, making their optimization parti…