Continuous-State Reinforcement Learning with Fuzzy Approximation

Reference

L. Buşoniu, D. Ernst, B. De Schutter, and R. Babuška, "Continuous-state reinforcement learning with fuzzy approximation," Proceedings of the 7th Annual Symposium on Adaptive and Learning Agents and Multi-Agent Systems (ALAMAS 2007) (K. Tuyls, S. de Jong, M. Ponsen, and K. Verbeeck, eds.), Maastricht, The Netherlands, pp. 21-35, Apr. 2007.

Abstract

Reinforcement learning (RL) is a widely used learning paradigm for adaptive agents. Well-understood RL algorithms with good convergence and consistency properties exist. In their original form, these algorithms require that the environment states and agent actions take values in a relatively small discrete set. Fuzzy representations for approximate, model-free RL have been proposed in the literature for the more difficult case where the state-action space is continuous. In this work, we propose a fuzzy approximation structure similar to those previously used for Q-learning, but we combine it with the model-based Q-value iteration algorithm. We show that the resulting algorithm converges. We also give a modified, serial variant of the algorithm that converges at least as fast as the original version. An illustrative simulation example is provided.

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BibTeX

@inproceedings{BusErn:07-008,
   author    = {Bu{\c{s}}oniu, Lucian and Ernst, Damien and De Schutter, Bart
                and Babu{\v{s}}ka, Robert},
   title     = {Continuous-State Reinforcement Learning with Fuzzy
                Approximation},
   booktitle = {Proceedings of the 7th Annual Symposium on Adaptive and
                Learning Agents and Multi-Agent Systems (ALAMAS 2007)},
   editor    = {Tuyls, Karl and de Jong, Steven and Ponsen, Maarten and
                Verbeeck, Katja},
   address   = {Maastricht, The Netherlands},
   pages     = {21--35},
   month     = apr,
   year      = {2007}
   }


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