Belief propagation vs. TAP for decoding corrupted messages

Yoshiyuki Kabashima, David Saad

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Pages (from-to)668-674
Number of pages7
JournalEurophysics Letters
Issue number5
Publication statusPublished - 1 Dec 1998

Bibliographical note

Copyright of EDP Sciences


  • belief propagation
  • corrupted message
  • Nishimor


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