Unifying learning in games and graphical models

The ever increasing use of intelligent multi-agent systems poses increasing demands upon them. One of these is the ability to reason consistently under uncertainty. This, in turn, is the dominant characteristic of probabilistic learning in graphical models which, however, lack a natural decentralise...

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Main Authors: Rezek, I, Roberts, S, Rogers, A, Dash, R, Jennings, N, IEEE
Format: Conference item
Published: 2005
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author Rezek, I
Roberts, S
Rogers, A
Dash, R
Jennings, N
IEEE
author_facet Rezek, I
Roberts, S
Rogers, A
Dash, R
Jennings, N
IEEE
author_sort Rezek, I
collection OXFORD
description The ever increasing use of intelligent multi-agent systems poses increasing demands upon them. One of these is the ability to reason consistently under uncertainty. This, in turn, is the dominant characteristic of probabilistic learning in graphical models which, however, lack a natural decentralised formulation. The ideal would, therefore, be a unifying framework which is able to combine the strengths of both multi-agent and probabilistic inference In this paper we present a unified interpretation of the inference mechanisms in games and graphical models. In particular, we view fictitious play as a method of optimising the Kullback-Leibler distance between current mixed strategies and optimal mixed strategies at Nash equilibrium. In reverse, probabilistic inference in the variational mean-field framework can be viewed as fictitious game play to learn the best strategies which explain a probabilistic graphical model. © 2005 IEEE.
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spelling oxford-uuid:69a9522c-cb16-492c-b3d3-0820be36741a2022-03-26T18:52:20ZUnifying learning in games and graphical modelsConference itemhttp://purl.org/coar/resource_type/c_5794uuid:69a9522c-cb16-492c-b3d3-0820be36741aSymplectic Elements at Oxford2005Rezek, IRoberts, SRogers, ADash, RJennings, NIEEEThe ever increasing use of intelligent multi-agent systems poses increasing demands upon them. One of these is the ability to reason consistently under uncertainty. This, in turn, is the dominant characteristic of probabilistic learning in graphical models which, however, lack a natural decentralised formulation. The ideal would, therefore, be a unifying framework which is able to combine the strengths of both multi-agent and probabilistic inference In this paper we present a unified interpretation of the inference mechanisms in games and graphical models. In particular, we view fictitious play as a method of optimising the Kullback-Leibler distance between current mixed strategies and optimal mixed strategies at Nash equilibrium. In reverse, probabilistic inference in the variational mean-field framework can be viewed as fictitious game play to learn the best strategies which explain a probabilistic graphical model. © 2005 IEEE.
spellingShingle Rezek, I
Roberts, S
Rogers, A
Dash, R
Jennings, N
IEEE
Unifying learning in games and graphical models
title Unifying learning in games and graphical models
title_full Unifying learning in games and graphical models
title_fullStr Unifying learning in games and graphical models
title_full_unstemmed Unifying learning in games and graphical models
title_short Unifying learning in games and graphical models
title_sort unifying learning in games and graphical models
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AT robertss unifyinglearningingamesandgraphicalmodels
AT rogersa unifyinglearningingamesandgraphicalmodels
AT dashr unifyinglearningingamesandgraphicalmodels
AT jenningsn unifyinglearningingamesandgraphicalmodels
AT ieee unifyinglearningingamesandgraphicalmodels