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20192026
most citedLyapunov stability of the subgradient method with constant step size

6 citations · 6 across the 15 of their papers we have counts for

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math.OC2023

Global stability of first-order methods for coercive tame functions

Cédric Josz, Lexiao Lai

We consider first-order methods with constant step size for minimizing locally Lipschitz coercive functions that are tame in an o-minimal structure on the real field. We prove that…

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…