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Paper Abstract and Keywords
Presentation 2016-11-17 14:00
Approximate Value Iteration Algorithms for Partially Observable Markov Decision Processes in Geometric Dual Representation
Hiroshi Tsukahara, Mitsuru Anbai, Makoto Oobayashi (Denso IT Lab.) IBISML2016-71
Abstract (in Japanese) (See Japanese page) 
(in English) We propose new approximate algorithms for the value iteration of partially observable Markov decision
processes (POMDPs) in the dual representation. The value function of a POMDP can be obtained by solving the dynamic programming procedure iteratively and its form is known to be given by a piecewise linear and convex function.
The set of those linear functions can be mapped to a set of points by the duality transformations. In the dual space,
the value iteration can be solved by calculating the upper convex hull for the set of those points. Our algorithms
rely on this property and perform the value iteration by approximate calculation of convex hulls and approximate
extraction of their upper hulls by direction sampling, which can be regarded as a dual representation counterpart of
the belief sampling in the primal representation.
Keyword (in Japanese) (See Japanese page) 
(in English) Partially observable Markov decision Processes / duality transformation / non-negative matrix decomposition / / / / /  
Reference Info. IEICE Tech. Rep., vol. 116, no. 300, IBISML2016-71, pp. 177-184, Nov. 2016.
Paper # IBISML2016-71 
Date of Issue 2016-11-09 (IBISML) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
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All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
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Conference Information
Committee IBISML  
Conference Date 2016-11-16 - 2016-11-18 
Place (in Japanese) (See Japanese page) 
Place (in English) Kyoto Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Information-Based Induction Science Workshop (IBIS2016) 
Paper Information
Registration To IBISML 
Conference Code 2016-11-IBISML 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Approximate Value Iteration Algorithms for Partially Observable Markov Decision Processes in Geometric Dual Representation 
Sub Title (in English)  
Keyword(1) Partially observable Markov decision Processes  
Keyword(2) duality transformation  
Keyword(3) non-negative matrix decomposition  
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1st Author's Name Hiroshi Tsukahara  
1st Author's Affiliation Denso IT Laboratory, Inc. (Denso IT Lab.)
2nd Author's Name Mitsuru Anbai  
2nd Author's Affiliation Denso IT Laboratory, Inc. (Denso IT Lab.)
3rd Author's Name Makoto Oobayashi  
3rd Author's Affiliation Denso IT Laboratory, Inc. (Denso IT Lab.)
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Date Time 2016-11-17 14:00:00 
Presentation Time 180 minutes 
Registration for IBISML 
Paper # IBISML2016-71 
Volume (vol) vol.116 
Number (no) no.300 
Page pp.177-184 
#Pages
Date of Issue 2016-11-09 (IBISML) 


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