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math.OC2026
Power Homotopy for Zeroth-Order Non-Convex Optimizations
Chen Xu
The paper introduces GS-PowerHP, a homotopy-based method that gradually reduces the Gaussian smoothing radius to improve exploration and refinement in zeroth-order non-convex optim…
math.OC2026
Progressive Power Homotopy for Non-convex Optimization
Chen Xu
We propose a novel first-order method for non-convex optimization of the form , termed Progressi…
math.OC2024
Global Optimization with A Power-Transformed Objective and Gaussian Smoothing
Chen Xu
We propose a novel method that solves global optimization problems in two steps: (1) perform a (exponential) power- transformation to the not-necessarily differentiable objectiv…