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20242026
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math.OC2025

Successive Fixing for Large-Scale SCUC Using First-Order Methods

Jinxin Xiong, Yanting Huang, Yingxiao Wang +4

Security-Constrained Unit Commitment is a fundamental optimization problem in power systems operations. The primary computational bottleneck arises from the need to solve large-sca…

math.OC2025

Solving Quadratic Programs via Deep Unrolled Douglas-Rachford Splitting

Jinxin Xiong, Xi Gao, Linxin Yang +3

Convex quadratic programs (QPs) are fundamental to numerous applications, including finance, engineering, and energy systems. Among the various methods for solving them, the Dougla…

math.OC2025

Relax-and-Cut for Temporal SCUC Decomposition

Jinxin Xiong, Linxin Yang, Yingxiao Wang +4

The Security-Constrained Unit Commitment (SCUC) problem presents formidable computational challenges due to its combinatorial complexity, large-scale network dimensions, and numero…

math.OC2025

A Learning-Based Inexact ADMM for Solving Quadratic Programs

Xi Gao, Jinxin Xiong, Linxin Yang +3

Convex quadratic programs (QPs) constitute a fundamental computational primitive across diverse domains including financial optimization, control systems, and machine learning. The…

math.OC2025

SymILO: A Symmetry-Aware Learning Framework for Integer Linear Optimization

Qian Chen, Tianjian Zhang, Linxin Yang +5

Integer linear programs (ILPs) are commonly employed to model diverse practical problems such as scheduling and planning. Recently, machine learning techniques have been utilized t…

math.OC2024

An Efficient Unsupervised Framework for Convex Quadratic Programs via Deep Unrolling

Linxin Yang, Bingheng Li, Tian Ding +6

Quadratic programs (QPs) arise in various domains such as machine learning, finance, and control. Recently, learning-enhanced primal-dual hybrid gradient (PDHG) methods have shown…