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math.OC2024
Stability of first-order methods in tame optimization
Lexiao Lai
Modern data science applications demand solving large-scale optimization problems. The prevalent approaches are first-order methods, valued for their scalability. These methods are…
math.OC2024
Nonsmooth rank-one symmetric matrix factorization landscape
Cédric Josz, Lexiao Lai
We consider nonsmooth rank-one symmetric matrix factorization. It has no spurious second-order stationary points.
math.OC2024
Proximal random reshuffling under local Lipschitz continuity
Cédric Josz, Lexiao Lai, Xiaopeng Li
We study proximal random reshuffling (PRR) for minimizing the sum of locally Lipschitz or locally smooth functions and a proper lower semicontinuous convex function without assumin…