Title
Distributed multiagent learning with a broadcast adaptive subgradient method
Abstract
Many applications in multiagent learning are essentially convex optimization problems in which agents have only limited communication and partial information about the function being minimized (examples of such applications include, among others, coordinated source localization, distributed adaptive filtering, control, and coordination). Given this observation, we propose a new non-hierarchical decentralized algorithm for the asymptotic minimization of possibly time-varying convex functions. In our method each agent has knowledge of a time-varying local cost function, and the objective is to minimize asymptotically a global cost function defined by the sum of the local functions. At each iteration of our algorithm, agents improve their estimates of a minimizer of the global function by applying a particular version of the adaptive projected subgradient method to their local functions. Then the agents exchange and mix their improved estimates using a probabilistic model based on recent results in weighted average consensus algorithms. The resulting algorithm is provably optimal and reproduces as particular cases many existing algorithms (such as consensus algorithms and recent methods based on the adaptive projected subgradient method). To illustrate one possible application, we show how our algorithm can be applied to coordinated acoustic source localization in sensor networks.
Year
DOI
Venue
2010
10.5555/1838206.1838346
AAMAS
Keywords
Field
DocType
global function,existing algorithm,convex function,broadcast adaptive subgradient method,resulting algorithm,consensus algorithm,time-varying local cost function,new non-hierarchical decentralized algorithm,subgradient method,local function,weighted average consensus algorithm,convex optimization,cost function,probabilistic model,distributed computing,adaptive filter,acoustic source localization,sensor network
Mathematical optimization,Subgradient method,Computer science,Minification,Convex function,Adaptive filter,Statistical model,Artificial intelligence,Wireless sensor network,Convex optimization,Acoustic source localization,Machine learning
Conference
Citations 
PageRank 
References 
2
0.39
13
Authors
4
Name
Order
Citations
PageRank
R. L. G. Cavalcante1101.61
alex rogers22500183.76
Nicholas R. Jennings3193481564.35
isao yamada495374.52