3 papers
math.OC2025
GPU-Accelerated First-Order Method with Randomized Sampling for Binary Integer Programs
Ningji Wei, Jiaming Liang
We present a scalable, GPU-accelerated algorithmic framework for large binary integer programs that operates end-to-end with minimal synchronization overhead. The proposed method c…
math.OC2025
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.OC2024
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…