Linear programming for large-scale Markov decision problems

Abbasi-Yadkori, Yasin, Bartlett, Peter L., & Malek, Alan (2014) Linear programming for large-scale Markov decision problems. In Xing, E. & Jebara, T. (Eds.) JMLR Workshop and Conference Proceedings, MIT Press, Beijing, China, pp. 496-504.

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Abstract

We consider the problem of controlling a Markov decision process (MDP) with a large state space, so as to minimize average cost. Since it is intractable to compete with the optimal policy for large scale problems, we pursue the more modest goal of competing with a low-dimensional family of policies. We use the dual linear programming formulation of the MDP average cost problem, in which the variable is a stationary distribution over state-action pairs, and we consider a neighborhood of a low-dimensional subset of the set of stationary distributions (defined in terms of state-action features) as the comparison class. We propose a technique based on stochastic convex optimization and give bounds that show that the performance of our algorithm approaches the best achievable by any policy in the comparison class. Most importantly, this result depends on the size of the comparison class, but not on the size of the state space. Preliminary experiments show the effectiveness of the proposed algorithm in a queuing application.

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ID Code: 88857
Item Type: Conference Paper
Refereed: Yes
ISSN: 1938-7228
Divisions: Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2014 [Please consult the author]
Deposited On: 20 Oct 2015 00:48
Last Modified: 25 Oct 2015 06:08

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