The Belief in TAP
نویسندگان
چکیده
We show the similarity between belief propagation and TAP, for decoding corrupted messages encoded by Sourlas's method. The latter is a special case of the Gallager error-correcting code, where the code word comprises products of J{ bits selected randomly from the original message. We examine the efficacy of solutions obtained by the two methods for various values of J{ and show that solutions for J{ 2': 3 may be sensitive to the choice of initial conditions in the case of unbiased patterns. Good approximations are obtained generally for J{ = 2 and for biased patterns in the case of J{ 2': 3, especially when Nishimori's temperature is being used.
منابع مشابه
Belief propagation vs. TAP for decoding corrupted messages
– 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...
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