2 papers
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.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…