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A further generalization of the finite-population geiringer-like theorem for pomdps to allow recombination overarbitrary set covers

Published: 16 January 2013 Publication History

Abstract

A popular current research trend deals with expanding the Monte-Carlo tree search sampling methodologies to the environments with uncertainty and incomplete information. Recently a finite population version of Geiringer theorem with nonhomologous recombination has been adopted to the setting of Monte-Carlo tree search to cope with randomness and incomplete information by exploiting the entrinsic similarities within the state space of the problem. The only limitation of the new theorem is that the similarity relation was assumed to be an equivalence relation on the set of states. In the current paper we lift this "curtain of limitation" by allowing the similarity relation to be modeled in terms of an arbitrary set cover of the set of state-action pairs.

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cover image ACM Conferences
FOGA XII '13: Proceedings of the twelfth workshop on Foundations of genetic algorithms XII
January 2013
198 pages
ISBN:9781450319904
DOI:10.1145/2460239
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 16 January 2013

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Author Tags

  1. evolutionary algorithms
  2. geiringer theorem
  3. lumping quotients of markov chains
  4. markov chains
  5. monte-carlo tree search
  6. non-homologous recombination
  7. partially observable markov decision processes

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FOGA '13
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FOGA '13: Foundations of Genetic Algorithms XII
January 16 - 20, 2013
Adelaide, Australia

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