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ATAL
2010
Springer

Point-based backup for decentralized POMDPs: complexity and new algorithms

14 years 1 months ago
Point-based backup for decentralized POMDPs: complexity and new algorithms
Decentralized POMDPs provide an expressive framework for sequential multi-agent decision making. Despite their high complexity, there has been significant progress in scaling up existing algorithms, largely due to the use of pointbased methods. Performing point-based backup is a fundamental operation in state-of-the-art algorithms. We show that even a single backup step in the multi-agent setting is NP-Complete. Despite this negative worst-case result, we present an efficient and scalable optimal algorithm as well as a principled approximation scheme. The optimal algorithm exploits recent advances in the weighted CSP literature to overcome the complexity of the backup operation. The polytime approximation scheme provides a constant factor approximation guarantee based on the number of belief points. In experiments on standard domains, the optimal approach provides significant speedup (up to 2 orders of magnitude) over the previous best optimal algorithm and is able to increase the num...
Akshat Kumar, Shlomo Zilberstein
Added 08 Nov 2010
Updated 08 Nov 2010
Type Conference
Year 2010
Where ATAL
Authors Akshat Kumar, Shlomo Zilberstein
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