3 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
Complexity and convergence analysis of a single-loop SDCAM for Lipschitz composite optimization and beyond
Hao Zhang, Naoki Marumo, Ting Kei Pong +1
We develop and analyze a single-loop algorithm for minimizing the sum of a Lipschitz differentiable function , a prox-friendly proper closed function (with a closed domain o…
math.OC2025
A single-loop proximal-conditional-gradient penalty method
Hao Zhang, Liaoyuan Zeng, Ting Kei Pong
We consider the problem of minimizing a convex separable objective (as a separable sum of two proper closed convex functions and ) over a linear coupling constraint. We assu…