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20242026
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math.OC2026

A Stochastic Proximal-Gradient Method for Regularized Generally Constrained Continuous Optimization

Frank E. Curtis, Xiaoyi Qu, Daniel P. Robinson

A stochastic proximal-gradient method is proposed and analyzed for solving regularized optimization problems subject to nonlinear equality constraints and nonnegativity bounds. The…

math.OC2026

Low-Order Explicit Hessian Imitation Method for Large-Scale Supervised Machine Learning

Yunlang Zhu, Lingjun Guo, Zahra Khatti +4

An algorithm is proposed for solving optimization problems arising in neural network training for supervised learning. The unique feature of the algorithm is the use of an auxiliar…

cs.LG2026

StableQAT: Stable Quantization-Aware Training at Ultra-Low Bitwidths

Tianyi Chen, Sihan Chen, Xiaoyi Qu +5

Quantization-aware training (QAT) is essential for deploying large models under strict memory and latency constraints, yet achieving stable and robust optimization at ultra-low bit…

cs.CL2026

PRIME: Policy-Reinforced Iterative Multi-agent Execution for Algorithmic Reasoning in Large Language Models

Jiawei Xu, Zhenyu Yu, Ziqian Bi +3

Large language models have demonstrated remarkable capabilities across diverse reasoning tasks, yet their performance on algorithmic reasoning remains limited. To handle this limit…

math.OC2026

A Proximal-Gradient Method for Solving Regularized Optimization Problems with General Constraints

Frank E. Curtis, Xiaoyi Qu, Daniel P. Robinson

We propose, analyze, and test a proximal-gradient method for solving regularized optimization problems with general constraints. The method employs a decomposition strategy to comp…