Spectral-like gradient method for distributed optimization

被引：0

作者：

Jakovetic, Dusan ^{[1
]}

Krejic, Natasa ^{[1
]}

Jerinkic, Natasa Krklec ^{[1
]}

机构：

[1] Univ Novi Sad, Fac Sci, Dept Math & Informat, Novi Sad, Serbia

来源：

PROCEEDINGS OF 18TH INTERNATIONAL CONFERENCE ON SMART TECHNOLOGIES (IEEE EUROCON 2019) | 2019年

关键词：

Distributed optimization; Consensus optimization; Spectral gradient method; Barzilai-Borwein method; BARZILAI; CONSENSUS;

D O I：

10.1109/eurocon.2019.8861761

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

We consider a standard distributed multi-agent optimization setting where n nodes (agents) in a network minimize the aggregate sum of their local convex cost functions. We present a distributed spectral-like gradient method, wherein step sizes are node- and iteration-varying, and they are inspired by classical spectral methods from centralized optimization. Simulation examples illustrate the performance of the presented method.

引用

页数：5

共 50 条

[21] A Spectral Conjugate Gradient Method for Unconstrained Optimization
E. G. Birgin
J. M. Martínez
Applied Mathematics & Optimization, 2001, 43 : 117 - 128
[22] A spectral-like decomposition for transitive Anosov flows in dimension three
Beguin, F.
Bonatti, C.
Yu, B.
MATHEMATISCHE ZEITSCHRIFT, 2016, 282 (3-4) : 889 - 912
[23] COMPACT FINITE-DIFFERENCE SCHEMES WITH SPECTRAL-LIKE RESOLUTION
LELE, SK
JOURNAL OF COMPUTATIONAL PHYSICS, 1992, 103 (01) : 16 - 42
[24] A new spectral-like method to model surface tension driven convection near a deforming interface
van der Geld, CWM
den Boer, AWJP
Pijnappel, WWF
INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS, 1999, 13 (01) : 1 - 24
[25] A central compact hybrid-variable method with spectral-like resolution: One-dimensional case
Hasan, Md Mahmudul
Zeng, Xianyi
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 421
[26] Spectral-like resolution compact ADI finite difference method for the multi-dimensional Schrodinger equations
Kong, Linghua
Duan, Yali
Wang, Lan
Yin, Xiuling
Ma, Yuanping
MATHEMATICAL AND COMPUTER MODELLING, 2012, 55 (5-6) : 1798 - 1812
[27] Spectral Conjugate Gradient Like Method for Signal Reconstruction
Ibrahim, Abdulkarim Hassan
Muangchoo, Kanikar
Abubakar, Auwal Bala
Adedokun, Afeez Dewumi
Mohammad, Hassan
THAI JOURNAL OF MATHEMATICS, 2020, 18 (04): : 2013 - 2022
[28] Spectral-like approach to modelling the liquid fuel atomisation process in a reactor
Mongiello, C.
Niola, V.
Quaremba, G.
PROCEEDINGS OF THE 11TH WSEAS INTERNATIONAL CONFERENCE ON SYSTEMS, VOL 2: SYSTEMS THEORY AND APPLICATIONS, 2007, : 303 - +
[29] NON SPURIOUS SPECTRAL-LIKE ELEMENT METHODS FOR MAXWELL'S EQUATIONS
Gary Cohen
Marc Duruflé
Journal of Computational Mathematics, 2007, (03) : 282 - 304
[30] An Accelerated Distributed Conditional Gradient Method for Online Optimization
Shen, Xiuyu
Li, Dequan
Dong, Qiao
Xue, Sheng
2019 11TH INTERNATIONAL CONFERENCE ON INTELLIGENT HUMAN-MACHINE SYSTEMS AND CYBERNETICS (IHMSC 2019), VOL 2, 2019, : 29 - 32

← 1 2 3 4 5 →