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Online Linear Regression and Its Application to Model-Based Reinforcement Learning

2007-12-01 · NeurIPS 2007 12 · Alexander L. Strehl, Michael L. Littman

We provide a provably efficient algorithm for learning Markov Decision Processes (MDPs) with continuous state and action spaces in the online setting. Specifically, we take a model-based approach and show that a special type of online linear regression allows us to learn MDPs with (possibly kernalized) linearly parameterized dynamics. This result builds on Kearns and Singh's work that provides a provably efficient algorithm for finite state MDPs. Our approach is not restricted to the linear setting, and is applicable to other classes of continuous MDPs.

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Model-based Reinforcement Learningregressionreinforcement-learningReinforcement LearningReinforcement Learning (RL)

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