The best existing error correction techniques are based upon
random graph constructions and iterative (belief propagation)
decoding algorithms. The behavior of such systems is characterized
by two types of phase transitions. The first one is related
to the ability of belief propagation to compute correctly
the bit marginal distributions. The second one has to do with
the structural properties of the code itself.
I will discuss the statistical mechanics predictions along with
some (recent) rigorous results which confirm.

Keywords:

Phase Transition;Computation;Reconstruction

Lecture #10883

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