3 papers
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…
math.DS2024
Singular perturbation in heavy ball dynamics
Cedric Josz, Xiaopeng Li
Given a lower bounded function definable in an o-minimal structure on the real field, we show that the singular pertur…
math.OC2023
Convergence of the momentum method for semialgebraic functions with locally Lipschitz gradients
Cédric Josz, Lexiao Lai, Xiaopeng Li
We propose a new length formula that governs the iterates of the momentum method when minimizing differentiable semialgebraic functions with locally Lipschitz gradients. It enables…