See this document in CiteSeerX!

Constructing Free Energy Approximations and Generalized Belief Propagation Algorithms (2004)  (Make Corrections)  (22 citations)
Jonathan S. Yedidia, William T. Freeman, Yair Weiss



  Home/Search   Context   Related

 
View or download:
merl.com/reports/docs/TR2004040.pdf
Cached:  PS.gz  PS  PDF   Image  Update  Help

From:  merl.com/reports/docs/ (more)
(Enter author homepages)

Rate this article: (best)
  Comment on this article  
(Enter summary)

Abstract: Important inference problems in statistical physics, computer vision, error-correcting coding theory, and artificial intelligence can all be reformulated as the computation of marginal probabilities on factor graphs. The belief propagation (BP) algorithm is an efficient way to solve these problems that is exact when the factor graph is a tree, but only approximate when the factor graph has cycles. We show that BP fixed points correspond to the stationary points of the Bethe approximation... (Update)

Cited by:   More
Iterative Soft Decoding of Reed Solomon Codes - Jing Jiang Student   (Correct)
Large Scale Use of Common Sense for Activity Recognition and.. - Pentney (2005)   (Correct)
Estimating the "Wrong" Graphical Model: Benefits in the.. - Wainwright (2006)   (Correct)

Similar documents (at the sentence level):
25.4%:   Constructing Free Energy Approximations and Generalized.. - Yedidia, Freeman, Weiss (2004)   (Correct)

Active bibliography (related documents):   More   All
0.4:   Tree-Based Reparameterization Framework for Analysis.. - Wainwright, Jaakkola, .. (2003)   (Correct)
0.4:   Kikuchi Approximation Method for Joint Decoding of LDPC.. - Pakzad, Anantharam (2004)   (Correct)
0.4:   Loopy Belief Propagation And - Probabilistic Image Processing (2003)   (Correct)

Similar documents based on text:
4.0:   Unknown -   (Correct)

Related documents from co-citation:   More   All
8:   Low-density parity-check codes (context) - Gallager - 1962
7:   Loopy belief propagation for approximate inference: an empirical study - Murphy, Weiss et al. - 1999
7:   Factor graphs and the sum-product algorithm - Frey, Kschischang et al. - 1998

BibTeX entry:   (Update)

J.S. YEDIDIA, W.T. FREEMAN, AND Y. WEISS, "Constructing free energy ap- proximations and generalized belief propagation algorithms," available at www.marl. com/papars/TI2002-35/ http://citeseer.ist.psu.edu/yedidia04constructing.html   More

@misc{ yedidia-constructing,
  author = "J. YEDIDIA and W. FREEMAN and Y. WEISS",
  title = "Constructing free energy ap- proximations and generalized belief propagation
    algorithms",
  text = "J.S. YEDIDIA, W.T. FREEMAN, AND Y. WEISS, Constructing free energy ap-
    proximations and generalized belief propagation algorithms, available at
    www.marl. com/papars/TI2002-35/",
  url = "citeseer.ist.psu.edu/yedidia04constructing.html" }
Citations (may not include all citations):
2319   Elements of Information Theory (context) - Cover, Thomas - 1991
1543   Probabilistic reasoning in intelligent systems: networks of .. (context) - Pearl - 1988
1362   A tutorial on hidden markov models and selected applications (context) - Rabiner - 1989
559   Near Shannon limit error-correcting coding and decoding: Tur.. (context) - Berrou, Glavieux et al. - 1993
461   Nonlinear Programming (context) - Bertsekas - 1999
384   A new approach to linear filtering and prediction problems (context) - Kalman - 1960
346   Applied optimal estimation (context) - Gelb - 1974
341   Low-density parity check codes (context) - Gallager - 1963
337   Error bounds for convolutional codes and an asymptotically o.. (context) - Viterbi - 1967
313   The Viterbi algorithm (context) - Forney - 1973
245   An introduction to variational methods for graphical models - Jordan, Ghahramani et al. - 1998
160   Exactly Solved Models in Statistical Mechanics (context) - Baxter - 1982
151   Cambridge University Press (context) - Stanley, volume - 1997
142   Factor graphs and the sum-product algorithm - Kschischang, Frey et al. - 2001
115   Graphical Models for Machine Learning and Digital Communicat.. (context) - Frey - 1998
110   Learning in graphical models (context) - Jordan - 1998
82   Generalized belief propagation - Yedidia, Freeman et al. - 2001
74   Loopy belief propagation for approximate inference: an empir.. - Murphy, Weiss et al. - 1999
70   Statistical Mechanics (context) - Huang - 1963
63   The generalized distributive law (context) - Aji, McEliece - 2000
49   belief propagation (context) - McEliece, MacKay et al. - 1998
46   Understanding belief propagation and its generalizations (context) - Yedidia, Freeman et al. - 2003
44   Correctness of local probability propagation in graphical mo.. - Weiss - 2000
41   A family of algorithms for approximate Bayesian inference - Minka - 2001
33   Codes on graphs: normal realizations (context) - Forney - 2001
22   Constructing free energy approximations and generalized beli.. - Yedidia, Freeman et al.
17   A new class of upper bounds on the log partition function - Wainwright, Jaakkola et al. - 2002
14   CCCP algorithms to minimize the Bethe and Kikuchi free energ.. (context) - Yuille - 2002
12   Theory of the frustration effect in spin glasses (context) - Toulouse - 1977
12   A theory of cooperative phenomena (context) - Kikuchi - 1951
10   Belief optimization for binary networks: A stable alternativ.. - Welling, Teh - 2001
10   and variational inference (context) - Wainwright, Jordan et al. - 2003
10   Belief propagation on partially ordered sets - McEliece, Yildirim - 2002
8   Loopy belief propagation and Gibbs measures - Tatikonda, Jordan - 2002
8   Advanced inference in Bayesian networks (context) - Cowell - 1998
8   Novel iteration schemes for the cluster variation method - Kappen, Wiegerinck - 2002
7   Tree-based reparameterization framework for analysis of sum-.. - Wainwright, Jaakkola et al. - 2003
6   Stable fixed points of loopy belief propagation are local mi.. - Heskes - 2003
6   The generalized distributive law and free energy minimizatio.. (context) - Aji, McEliece - 2001
4   Tree-structured approximations by expectation propagation (context) - Minka, Qi - 2004
4   A conversation about the Bethe free energy and sum-product - Mackay, Yedidia et al.
4   Statistical theory of superlattices (context) - Bethe - 1935
4   Cluster variation method for non-uniform Ising and Heisenber.. (context) - Morita - 1991
4   Fractional belief propagation - Wiegerinck, Heskes - 2003
4   Poset belief propagation: Experimental results (context) - Harel - 2003
4   Survey propagation: An algorithm for satisfiability (context) - Braunstein, Mezard et al.
4   Poset belief propagation - experimental results (context) - Harel, McEliece et al. - 2003
3   Estimation and marginalization using Kikuchi approximation m.. - Pakzad, Anantharam - 2003
3   Characterizing belief propagation and its generalizations (context) - Yedidia, Freeman et al.
3   An approximation method for order-disorder problems (context) - Hijmans, De Boer - 1955
3   Foundations and applications of cluster variation method and.. (context) - Morita, Suzuki et al. - 1994
3   An algebraic description of iterative decoding schemes - Offer, Soljanin - 2000
2   and low-complexity trellis decoding (context) - Dauwels, Loeliger et al. - 2003
2   dimensional ising spin glass: Ii (context) - Fujiki, Katsura et al. - 1980
2   the uniqueness of belief propagation fixed points (context) - Heskes - 2004
2   Available online httpwww (context) - Freeman, free et al. - 2001
2   Infinite-ranged models of spin-glasses (context) - Sherrington, Kirpatrick - 1978
2   the choice of regions for generalized belief propagation (context) - Welling - 2004
2   Minimal graphical representation of Kikuchi regions (context) - Pakzad, Anantharam - 2002



The graph only includes citing articles where the year of publication is known.


Documents on the same site (http://www.merl.com/reports/docs/):   More
Iterative Decoding Using Replicas - Zhang, Wang, Fossorier, Yedidia (2005)   (Correct)
A Unified Traffic Control Scheme For Atm Networks.. - Zheng, Lauer, Howard.. (1994)   (Correct)
Rapid Object Detection Using a Boosted Cascade of Simple Features - Viola, Jones (2004)   (Correct)

Online articles have much greater impact   More about CiteSeer.IST   Add search form to your site   Submit documents   Feedback  

CiteSeer.IST - Copyright Penn State and NEC