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Title: Mean-field methods for a special class of belief networks
Authors: Bhattacharyya, C.
Keerthi, S.S. 
Issue Date: Jul-2001
Citation: Bhattacharyya, C.,Keerthi, S.S. (2001-07). Mean-field methods for a special class of belief networks. Journal of Artificial Intelligence Research 15 : 91-114. ScholarBank@NUS Repository.
Abstract: The chief aim of this paper is to propose mean-field approximations for a broad class of Belief networks, of which sigmoid and noisy-or networks can be seen as special cases. The approximations are based on a powerful mean-field theory suggested by Plefka. We show that Saul, Jaakkola, and Jordan's approach is the first order approximation in Plefka's approach, via a variational derivation. The application of Plefka's theory to belief networks is not computationally tractable. To tackle this problem we propose new approximations based on Taylor series. Small scale experiments show that the proposed schemes are attractive. ©2001 AI Access Foundation and Morgan Kaufmann Publishers. All rights reserved.
Source Title: Journal of Artificial Intelligence Research
ISSN: 10769757
Appears in Collections:Staff Publications

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