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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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6 papers

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.OC2026

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…