Loop calculus in statistical physics and information theory

Loop calculus in statistical physics and information theoryShort Description
4. Return to Step 2 with an improved ?-loop selection. Michael Chertkov, Los Alamos NL. Loop calculus in statistical physics and information theory …

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Loop calculus
in statistical physics and information theory
Michael Chertkov1 & Vladimir Chernyak 2,1
1CNLS & T-13, LANL and 2Wayne State, Detroit
Thanks to M. Stepanov (UofA, Tucson)
Michael Chertkov, Los Alamos NL Loop calculus in statistical physics and information theoryOutline
Outline
1 Introduction
Error Correction, Low-Density-Parity-Check Codes
Statistical Inference, Belief Propagation, Graphical Models
Bethe Free Energy, Linear Programming Decoding
Error-Floor, Pseudo-codewords & Instantons
2 Loop Calculus: General Statement & Derivation
3 Loop Calculus & Error-Correction
Loop calculus & Instantons: Analysis of Error-Floor
Effective Free Energy Approach: Towards better Decoding
4 Conclusions
Michael Chertkov, Los Alamos NL Loop calculus in statistical physics and information theory…

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