2 papers
math.OC2026
Efficiently Escaping Saddle Points under Generalized Smoothness via Self-Bounding Regularity
Daniel Yiming Cao, August Y. Chen, Karthik Sridharan +1
We study the optimization of non-convex functions that are not necessarily smooth (gradient and/or Hessian are Lipschitz) using first order methods. Smoothness is a restrictive ass…
stat.ML2025
Optimization, Isoperimetric Inequalities, and Sampling via Lyapunov Potentials
August Y. Chen, Karthik Sridharan
In this paper, we prove that optimizability of any function F using Gradient Flow from all initializations implies a Poincaré Inequality for Gibbs measures mu_{beta} = e^{-beta F}…