Theoretical analysis of accuracy of gaussian belief propagation

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Abstract

Belief propagation (BP) is the calculation method which enables us to obtain the marginal probabilities with a tractable computational cost. BP is known to provide true marginal probabilities when the graph describing the target distribution has a tree structure, while do approximate marginal probabilities when the graph has loops. The accuracy of loopy belief propagation (LBP) has been studied. In this paper, we focus on applying LBP to a multi-dimensional Gaussian distribution and analytically show how accurate LBP is for some cases. © Springer-Verlag Berlin Heidelberg 2007.

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Nishiyama, Y., & Watanabe, S. (2007). Theoretical analysis of accuracy of gaussian belief propagation. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4668 LNCS, pp. 29–38). Springer Verlag. https://doi.org/10.1007/978-3-540-74690-4_4

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