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Optimistic Agents Are Asymptotically Optimal

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AI 2012: Advances in Artificial Intelligence (AI 2012)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7691))

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Abstract

We use optimism to introduce generic asymptotically optimal reinforcement learning agents. They achieve, with an arbitrary finite or compact class of environments, asymptotically optimal behavior. Furthermore, in the finite deterministic case we provide finite error bounds.

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References

  1. Auer, P., Ortner, R.: Logarithmic online regret bounds for undiscounted reinforcement learning. In: Proceedings of NIPS 2006, pp. 49–56 (2006)

    Google Scholar 

  2. Blackwell, D., Dubins, L.: Merging of Opinions with Increasing Information. The Annals of Mathematical Statistics 33(3), 882–886 (1962)

    Article  MathSciNet  MATH  Google Scholar 

  3. Doob, J.: Stochastic processes. Wiley, New York (1953)

    MATH  Google Scholar 

  4. Even-Dar, E., Kakade, S., Mansour, Y.: Reinforcement learning in pomdps without resets. In: Proceedings of IJCAI 2005, pp. 690–695 (2005)

    Google Scholar 

  5. Hutter, M.: Universal Articial Intelligence: Sequential Decisions based on Algorithmic Probability. Springer, Berlin (2005)

    Google Scholar 

  6. Hutter, M.: Discrete MDL predicts in total variation. In: Advances in Neural Information Processing Systems, NIPS 2009, vol. 22, pp. 817–825 (2009)

    Google Scholar 

  7. Kearns, M.J., Singh, S.: Near-optimal reinforcement learning in polynomial time. In: Proceedings of the 15nd International Conference on Machine Learning (ICML 1998), pp. 260–268 (1998)

    Google Scholar 

  8. Lattimore, T., Hutter, M.: Asymptotically Optimal Agents. In: Kivinen, J., Szepesvári, C., Ukkonen, E., Zeugmann, T. (eds.) ALT 2011. LNCS, vol. 6925, pp. 368–382. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  9. Lattimore, T., Hutter, M.: Time Consistent Discounting. In: Kivinen, J., Szepesvári, C., Ukkonen, E., Zeugmann, T. (eds.) ALT 2011. LNCS, vol. 6925, pp. 383–397. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  10. Lattimore, T., Hutter, M.: PAC Bounds for Discounted MDPs. In: Bshouty, N.H., Stoltz, G., Vayatis, N., Zeugmann, T. (eds.) ALT 2012. LNCS, vol. 7568, pp. 320–334. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  11. Maillard, O.-A., Munos, R., Ryabko, D.: Selecting the state-representation in reinforcement learning. In: Advances in Neural Information Processing Systems (NIPS 2011), vol. 24, pp. 2627–2635 (2011)

    Google Scholar 

  12. Orseau, L.: Optimality Issues of Universal Greedy Agents with Static Priors. In: Hutter, M., Stephan, F., Vovk, V., Zeugmann, T. (eds.) Algorithmic Learning Theory. LNCS, vol. 6331, pp. 345–359. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  13. Ryabko, D., Hutter, M.: On the possibility of learning in reactive environments with arbitrary dependence. Theor. C.S. 405(3), 274–284 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  14. Russell, S.J., Norvig, P.: Artificial Intelligence: A Modern Approach, 3rd edn. Prentice Hall, Englewood Cliffs (2010)

    Google Scholar 

  15. Rudin, W.: Principles of mathematical analysis. McGraw-Hill (1976)

    Google Scholar 

  16. Strehl, A., Littman, M.: A theoretical analysis of model-based interval estimation. In: Proceedings of ICML 2005, pp. 856–863 (2005)

    Google Scholar 

  17. Strehl, A., Littman, M.: A theoretical analysis of model-based interval estimation. In: Proceedings of ICML 2005, pp. 856–863 (2005)

    Google Scholar 

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Sunehag, P., Hutter, M. (2012). Optimistic Agents Are Asymptotically Optimal. In: Thielscher, M., Zhang, D. (eds) AI 2012: Advances in Artificial Intelligence. AI 2012. Lecture Notes in Computer Science(), vol 7691. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35101-3_2

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  • DOI: https://doi.org/10.1007/978-3-642-35101-3_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35100-6

  • Online ISBN: 978-3-642-35101-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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