D. K. Grady, M. Moll, and L. E. Kavraki, “Automated Model Approximation for Robotic Navigation with POMDPs,” in Proceedings of the IEEE International Conference on Robotics and Automation, Karlsruhe, Germany, 2013, pp. 78–84.
Partially-Observable Markov Decision Processes (POMDPs) are a problem class with significant applicability to robotics when considering the uncertainty present in the real world, however, they quickly become intractable for large state and action spaces. A method to create a less complex but accurate action model approximation is proposed and evaluated using a state-of-the-art POMDP solver. We apply this general and powerful formulation to a robotic navigation task under state and sensing uncertainty. Results show that this method can provide a useful action model that yields a policy with similar overall expected reward compared to the true action model, often with significant computational savings. In some cases, our reduced complexity model can solve problems where the true model is too complex to find a policy that accomplishes the task. We conclude that this technique of building problem-dependent approximations can provide significant computational advantages and can help expand the complexity of problems that can be considered using current POMDP techniques.