Exact convergence of gradient-free distributed optimization method in a multi-agent system
© 2018 IEEE. In this paper, a gradient-free algorithm is proposed for a set constrained distributed optimization problem in a multi-agent system under a directed communication network. For each agent, a pseudo-gradient is designed locally and utilized instead of the true gradient information to guid...
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sg-ntu-dr.10356-1435372020-09-08T02:01:50Z Exact convergence of gradient-free distributed optimization method in a multi-agent system Pang, Yipeng Hu, Guoqiang School of Electrical and Electronic Engineering 2018 IEEE Conference on Decision and Control (CDC) Engineering::Electrical and electronic engineering Distributed Optimization Multi-agent System © 2018 IEEE. In this paper, a gradient-free algorithm is proposed for a set constrained distributed optimization problem in a multi-agent system under a directed communication network. For each agent, a pseudo-gradient is designed locally and utilized instead of the true gradient information to guide the decision variables update. Compared with most gradient-free optimization methods where a doubly-stochastic weighting matrix is usually employed, this algorithm uses a row-stochastic matrix plus a column-stochastic matrix, and is able to achieve exact asymptotic convergence to the optimal solution. National Research Foundation (NRF) Accepted version 2020-09-08T02:01:50Z 2020-09-08T02:01:50Z 2019 Conference Paper Pang, Y., & Hu, G. (2018). Exact convergence of gradient-free distributed optimization method in a multi-agent system. 2018 IEEE Conference on Decision and Control (CDC), 5728-5733. doi:10.1109/CDC.2018.8619028 9781538613955 https://hdl.handle.net/10356/143537 10.1109/CDC.2018.8619028 2-s2.0-85062187754 5728 5733 en © 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, in any current or future media, including reprinting/republishing this material for adverstising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at:https://doi.org/10.1109/CDC.2018.8619028 application/pdf |
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Engineering::Electrical and electronic engineering Distributed Optimization Multi-agent System Pang, Yipeng Hu, Guoqiang Exact convergence of gradient-free distributed optimization method in a multi-agent system |
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© 2018 IEEE. In this paper, a gradient-free algorithm is proposed for a set constrained distributed optimization problem in a multi-agent system under a directed communication network. For each agent, a pseudo-gradient is designed locally and utilized instead of the true gradient information to guide the decision variables update. Compared with most gradient-free optimization methods where a doubly-stochastic weighting matrix is usually employed, this algorithm uses a row-stochastic matrix plus a column-stochastic matrix, and is able to achieve exact asymptotic convergence to the optimal solution. |
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School of Electrical and Electronic Engineering |
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School of Electrical and Electronic Engineering Pang, Yipeng Hu, Guoqiang |
format |
Conference or Workshop Item |
author |
Pang, Yipeng Hu, Guoqiang |
author_sort |
Pang, Yipeng |
title |
Exact convergence of gradient-free distributed optimization method in a multi-agent system |
title_short |
Exact convergence of gradient-free distributed optimization method in a multi-agent system |
title_full |
Exact convergence of gradient-free distributed optimization method in a multi-agent system |
title_fullStr |
Exact convergence of gradient-free distributed optimization method in a multi-agent system |
title_full_unstemmed |
Exact convergence of gradient-free distributed optimization method in a multi-agent system |
title_sort |
exact convergence of gradient-free distributed optimization method in a multi-agent system |
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2020 |
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https://hdl.handle.net/10356/143537 |
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1681057506965585920 |