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Multi-Robot Teams as Markov Random Fields
Modeling and Algorithms
Jesse Butterfield Jonas Schwertfeger Odest Chadwicke Jenkins
Abstract We propose Markov random fields (MRFs) as a probabilistic mathematical model for unifying approaches to multi-robot coordination or, more specifically, distributed action selection. The MRF model is well-suited to domains in which the joint probability over latent (action) and observed (perceived) variables can be factored into pairwise interactions between these variables. Specifically, these interactions occur through functions that evaluate ``local evidence'' between an observed and latent variable and ``compatibility'' between a pair of latent variables. For multi-robot coordination, we cast local evidence functions as the computation for an individual robot's action selection from its local observations and compatibility as the dependence in action selection between a pair of robots. We describe how existing methods for multi-robot coordination (or at least a non-exhaustive subset) fit within an MRF-based model and how they conceptually unify. Further, we offer belief propagation on a multi-robot MRF as a novel approach to distributed robot action selection.
Papers
J. Butterfield, O. C. Jenkins, D. Sobel, and J. Schwertfeger. Modeling aspects of Theory of Mind with Markov Random Fields. International Journal of Social Robotics, 1(1):41-51, Jan 2009. [ bib | .pdf ]
J. Butterfield, B. Gerkey, and O. Jenkins. Multi-robot markov random fields. In Autonomous Agents and Multi Agent Systems (AAMAS 2008), page in press, Estoril, Portugal, May 2008.
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J. Butterfield, K. Dantu, B. Gerkey, O. Jenkins, and G. Sukhatme. Autonomous Biconnected Networks of Mobile Robots. In Workshop on Wireless Multihop Communications in Networked Robotics, page in press, Berlin, Germany, April 2008.
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J. Schwertfeger and O. Jenkins. Multi-robot belief propagation for distributed robot allocation. In International Conference on Development and Learning (ICDL 2007), London, England, Jul 2007.
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