Towards Efficient Computation of Error Bounded Solutions in POMDPs: Expected Value Approximation and Dynamic Disjunctive Beliefs

Pradeep Varakantham, Rajiv Maheswaran, Tapana Gupta, Milind Tambe

While POMDPs (partially observable markov decision problems) are a popular computational model with wide-ranging applications, the computational cost for optimal policy generation is prohibitive. Researchers are investigating ever-more efficient algorithms, yet many applications demand such algorithms bound any loss in policy quality when chasing efficiency. To address this challenge, we present two new techniques. The first approximates in the value space to obtain solutions efficiently for a pre-specified error bound. Unlike existing techniques, our technique guarantees the resulting policy will meet this bound. Furthermore, it does not require costly computations to determine the quality loss of the policy. Our second technique prunes large tracts of belief space that are unreachable, allowing faster policy computation without any sacrifice in optimality. The combination of the two techniques, which are complementary to existing optimal policy generation algorithms, provides solutions with tight error bounds efficiently in domains where competing algorithms fail to provide such tight bounds.

Subjects: 15.5 Decision Theory; 3.4 Probabilistic Reasoning

Submitted: Oct 13, 2006

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