Belief propagation vs. TAP for decoding corrupted messages

Kabashima, Yoshiyuki and Saad, David (1998). Belief propagation vs. TAP for decoding corrupted messages. Europhysics Letters, 44 (5), pp. 668-674.

Abstract

We employ two different methods, based on belief propagation and TAP,for decoding corrupted messages encoded by employing Sourlas's method, where the code word comprises products of K bits selected randomly from the original message. We show that the equations obtained by the two approaches are similar and provide the same solution as the one obtained by the replica approach in some cases K=2. However, we also show that for K>=3 and unbiased messages the iterative solution is sensitive to the initial conditions and is likely to provide erroneous solutions; and that it is generally beneficial to use Nishimori's temperature, especially in the case of biased messages.

Publication DOI: https://doi.org/10.1209/epl/i1998-00524-7
Divisions: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Additional Information: Copyright of EDP Sciences
Uncontrolled Keywords: belief propagation,corrupted message,Nishimor
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Related URLs: http://iopscien ... ect=.iopscience (Publisher URL)
Published Date: 1998-12-01
Authors: Kabashima, Yoshiyuki
Saad, David ( 0000-0001-9821-2623)

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