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20242026
most citedHomogeneous second-order descent framework: a fast alternative to Newton-type methods

1 citations · 1 across the 2 of their papers we have counts for

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math.OC20261 cited

Homogeneous second-order descent framework: a fast alternative to Newton-type methods

Chang He, Yuntian Jiang, Chuwen Zhang +3

This paper proposes a homogeneous second-order descent framework (HSODF) for nonconvex and convex optimization based on the generalized homogeneous model (GHM). In comparison to th…

math.OC2026

A homogeneous second-order descent method for nonconvex optimization

Chuwen Zhang, Dongdong Ge, Chang He +4

In this paper, we introduce a Homogeneous Second-Order Descent Method (HSODM) using the homogenized quadratic approximation to the original function. The merit of homogenization is…

math.OC20268 cited

Cardinal Optimizer (COPT) User Guide

Dongdong Ge, Qi Huangfu, Zizhuo Wang +2

Cardinal Optimizer is a high-performance mathematical programming solver for efficiently solving largescale optimization problem. This documentation provides basic introduction to…

math.OC2025

Data-driven Mixed Integer Optimization through Probabilistic Multi-variable Branching

Yanguang Chen, Wenzhi Gao, Wanyu Zhang +3

In this paper, we propose a Pre-trained Mixed Integer Optimization framework (PreMIO) that accelerates online mixed integer program (MIP) solving with offline datasets and machine…

math.OC2024

From an Interior Point to a Corner Point: Smart Crossover

Dongdong Ge, Chengwenjian Wang, Zikai Xiong +1

Identifying optimal basic feasible solutions to linear programming problems is a critical task for mixed integer programming and other applications. The crossover method, which aim…

math.OC2024

Solving Linear Programs with Fast Online Learning Algorithms

Wenzhi Gao, Dongdong Ge, Chunlin Sun +1

This paper presents fast first-order methods for solving linear programs (LPs) approximately. We adapt online linear programming algorithms to offline LPs and obtain algorithms tha…