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Model Reduction Techniques for Computing Approximately Optimal Solutions for Markov Decision Processes

by: Thomas Dean, Robert Givan, Sonia Leach
pp. 124-131.


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We present a method for solving implicit (factored) Markov decision processes (MDPs) with very large state spaces. We introduce a property of state space partitions which we call ffl-homogeneity. Intuitively, an ffl-homogeneous partition groups together states that behave approximately the same under all or some subset of policies. Borrowing from recent work on model minimization in computer-aided software verification, we present an algorithm that takes a factored representation of...


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