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20112026
most citedStrong NP-Hardness for Sparse Optimization with Concave Penalty Functions

13 citations · 44 across the 26 of their papers we have counts for

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Showing 2022Show all

6 papers · 1 filter

math.OC2022

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.OC2022

SOLNP+: A Derivative-Free Solver for Constrained Nonlinear Optimization

Dongdong Ge, Tianhao Liu, Jinsong Liu +2

SOLNP+ is a derivative-free solver for constrained nonlinear optimization. It starts from SOLNP proposed in 1989 by Ye Ye with the main idea that uses finite difference to approxim…

math.OC2022★ 3 cited

An Enhanced ADMM-based Interior Point Method for Linear and Conic Optimization

Qi Deng, Qing Feng, Wenzhi Gao +8

The ADMM-based interior point (ABIP, Lin et al. 2021) method is a hybrid algorithm that effectively combines interior point method (IPM) and first-order methods to achieve a perfor…

math.OC2022★ 8 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.OC2022★ 2 cited

DRSOM: A Dimension Reduced Second-Order Method

Chuwen Zhang, Dongdong Ge, Chang He +3

In this paper, we propose a Dimension-Reduced Second-Order Method (DRSOM) for convex and nonconvex (unconstrained) optimization. Under a trust-region-like framework, our method pre…

cs.MS2022

HDSDP: Software for Semidefinite Programming

Wenzhi Gao, Dongdong Ge, Yinyu Ye

HDSDP is a numerical software solving the semidefinite programming problems. The main framework of HDSDP resembles the dual-scaling interior point solver DSDP [BY2008] and several…