A distributed algorithm for solving quadratic optimization problems

被引:0
作者
Jahvani, Mohammad [1 ]
Guay, Martin [1 ]
机构
[1] Queens Univ, Dept Chem Engn, 19 Div St, Kingston, ON K7L 3N6, Canada
关键词
Distributed optimization; Duality; Multi-agent systems; CONVEX-OPTIMIZATION; CONSENSUS; FLOW;
D O I
10.1016/j.compchemeng.2024.108778
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Unconstrained quadratic optimization problems are a common mathematical challenge encountered in various domains. These problems involve optimizing quadratic functions without explicit constraints. In a distributed computing environment, solving these optimization problems collectively among multiple computational nodes is a complex and crucial task. This paper introduces a distributed algorithm within a multi-agent framework that aims to find the global minimizer for such problems. The proposed algorithm demonstrates exponential convergence, assuming a static and connected communication network. Additionally, numerical simulations are conducted to support the theoretical findings.
引用
收藏
页数:7
相关论文
共 33 条
[1]  
Bertsekas D.P., 1997, Parallel and Distributed Computation: Numerical Methods
[2]   Distributed optimization and statistical learning via the alternating direction method of multipliers [J].
Boyd S. ;
Parikh N. ;
Chu E. ;
Peleato B. ;
Eckstein J. .
Foundations and Trends in Machine Learning, 2010, 3 (01) :1-122
[3]  
Carli R, 2015, 2015 EUROPEAN CONTROL CONFERENCE (ECC), P2514, DOI 10.1109/ECC.2015.7330916
[4]   NEXT: In-Network Nonconvex Optimization [J].
Di Lorenzo, Paolo ;
Scutari, Gesualdo .
IEEE TRANSACTIONS ON SIGNAL AND INFORMATION PROCESSING OVER NETWORKS, 2016, 2 (02) :120-136
[5]   Dual Averaging for Distributed Optimization: Convergence Analysis and Network Scaling [J].
Duchi, John C. ;
Agarwal, Alekh ;
Wainwright, Martin J. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (03) :592-606
[6]   Decentralized Quasi-Newton Methods [J].
Eisen, Mark ;
Mokhtari, Aryan ;
Ribeiro, Alejandro .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2017, 65 (10) :2613-2628
[7]   Distributed Continuous-Time Convex Optimization on Weight-Balanced Digraphs [J].
Gharesifard, Bahman ;
Cortes, Jorge .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (03) :781-786
[8]  
Godsil C., 2013, Algebraic Graph Theory, V207
[9]   Variance-Reduced Methods for Machine Learning [J].
Gower, Robert M. ;
Schmidt, Mark ;
Bach, Francis ;
Richtarik, Peter .
PROCEEDINGS OF THE IEEE, 2020, 108 (11) :1968-1983
[10]  
Horn R.A., 1985, Matrix Analysis