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An Uncertainty-Based Belief Selection Method for POMDP Value Iteration

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Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2009)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5590))

Abstract

Partially Observable Markov Decision Process (POMDP) provides a probabilistic model for decision making under uncertainty. Point-based value iteration algorithms are effective approximate algorithms to solve POMDP problems. Belief selection is a key step of point-based algorithm. In this paper we provide a belief selection method based on the uncertainty of belief point. The algorithm first computes the uncertainties of the belief points that could be reached, and then selects the belief points that have lower uncertainties and whose distances to the current belief set are larger than a threshold. The experimental results indicate that this method is effective to gain an approximate long-term discounted reward using fewer belief states than the other point-based algorithms.

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References

  1. Sondik, E.J.: The optimal control of partially observable Markov processes over the infinite horizon: Discounted costs. Operations Research 26(2), 282–304 (1978)

    Article  MATH  Google Scholar 

  2. Kaelbling, L.P., Littman, M.L., Cassandra, A.R.: Planning and acting in partially observable stochastic domains. Artificial Intelligence 101, 99–134 (1998)

    Article  MATH  Google Scholar 

  3. Hu, Q.Y., Liu, J.Y.: An Introduction to Markov Decision Processes. Xi Dian University Press, Xi’an (2000) (in Chinese)

    Google Scholar 

  4. Zhang, N.L., Zhang, W.: Speeding up the Convergence of Value Iteration in Partially Observable Markov Decision Processes. Journal of Artificial Intelligence Research (JAIR) 14, 29–51 (2001)

    Google Scholar 

  5. Pineau, J., Gordon, G., Thrun, S.: Point-based value iteration: An anytime algorithm for POMDPs. In: Int. Joint Conf. on Artificial Intelligence (IJCAI), Acapulco, Mexico, pp. 1025–1030 (2003)

    Google Scholar 

  6. Smith, T., Simmons, R.: Heuristic search value iteration for POMDPs. In: Proc. of Uncertainty in Artificial Intelligence (UAI) (2004)

    Google Scholar 

  7. Spaan, M.T.J., Vlassis, N.: Perseus: Randomized point-based value iteration for POMDPs. Journal of Artificial Intelligence Research (JAIR) 24, 195–220 (2005)

    MATH  Google Scholar 

  8. Izadi, M.T., Precup, D., Azar, D.: Belief selection in point-based planning algorithms for POMDPs. In: Proceedings of Canadian Conference on Artificial Intelligence (AI), Quebec City, Canada, pp. 383–394 (2006)

    Google Scholar 

  9. Izadi, M.T., Precup, D.: Exploration in POMDP belief space and its impact on value iteration approximation. In: European Conference on Artificial Intelligence (ECAI), Riva del Garda, Italy (2006)

    Google Scholar 

  10. Shani, G., Brafman, R.I., Shimony, S.E.: Forward search value iteration for POMDPs. In: Proc. Int. Joint Conf. on Artificial Intelligence (IJCAI), pp. 2619–2624 (2007)

    Google Scholar 

  11. Pineau, J., Gordon, G., Thrun, S.: Point-based approximations for fast POMDP solving. Technical Report, SOCS-TR-2005.4, School of Computer Science, McGill University (2005)

    Google Scholar 

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© 2009 Springer-Verlag Berlin Heidelberg

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Feng, Q., Zhou, X., Huang, H., Zhang, X. (2009). An Uncertainty-Based Belief Selection Method for POMDP Value Iteration. In: Sossai, C., Chemello, G. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2009. Lecture Notes in Computer Science(), vol 5590. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02906-6_72

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  • DOI: https://doi.org/10.1007/978-3-642-02906-6_72

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02905-9

  • Online ISBN: 978-3-642-02906-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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