2 papers
math.OC2026
A Gaussian smoothing-based zeroth-order method for Goldstein second-order stationarity
Ming Lei, Ting Kei Pong, Man-Chung Yue +2
We introduce a new generalized Hessian, called the Goldstein second-order -subdifferential, and an associated notion of -second-order stationary point for conti…
math.OC2025
Subdifferentially polynomially bounded functions and Gaussian smoothing-based zeroth-order optimization
Ming Lei, Ting Kei Pong, Shuqin Sun +1
We study the class of subdifferentially polynomially bounded (SPB) functions, which is a rich class of locally Lipschitz functions that encompasses all Lipschitz functions, all gra…