3 papers
math.OC2026
A Gauge Set Framework for Flexible Robustness Design
Ningji Wei, Xian Yu, Peter Zhang
This paper proposes a unified framework for designing robustness in optimization under uncertainty using gauge sets, convex sets that generalize distance and capture how distributi…
math.OC2025
GFORS: GPU-Accelerated First-Order Method with Randomized Sampling for Binary Integer Programs
Ningji Wei, Jiaming Liang
We present GFORS, a GPU-accelerated framework for large binary integer programs. It couples a first-order (PDHG-style) routine that guides the search in the continuous relaxation w…
math.OC2025
Convexoid: A Minimal Theory of Conjugate Convexity
Ningji Wei
A key idea in convex optimization theory is to use well-structured affine functions to approximate general functions, leading to impactful developments in conjugate functions and c…