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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Wainwright, M. Jaakkola, T. Willsky, A. |
| Copyright Year | 2002 |
| Description | Author affiliation: Dept. of Electr. Eng. & Comput. Sci., MIT, Cambridge, MA, USA (Wainwright, M.; Jaakkola, T.; Willsky, A.) |
| Abstract | Although it is straightforward to compute the marginals of a distribution p(x) defined by a tree-structured graphical model, this same task is often difficult for graphs with cycles. The belief propagation (BP) or sum-product algorithm is an approximate method for computing such marginals; it is used in various applications (e.g., iterative decoding of turbo and LDPC codes). Belief propagation is typically presented and analyzed as a sequence of message-passing operations. We develop a different conceptual perspective that involves reparameterizing the original distribution in terms of so-called pseudomarginals on cliques of the graph. This view gives rise to a simple characterization of the fixed points, as well as an exact expression and bounds on the error for an arbitrary graph with cycles. |
| Sponsorship | IEEE Inf. Theory Soc |
| File Size | 121866 |
| File Format | |
| ISBN | 0780375017 |
| DOI | 10.1109/ISIT.2002.1023385 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2002-06-30 |
| Publisher Place | Switzerland |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Algorithm design and analysis Belief propagation Tree graphs Inference algorithms Distributed computing Graphical models Sum product algorithm Iterative decoding Parity check codes Markov random fields |
| Content Type | Text |
| Resource Type | Article |
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