Error correcting code using tree-like multilayer perceptron

Details Error correcting code using tree-like multilayer perceptron Error correcting code using tree-like multilayer perceptron

2008-11-21

arxiv.org/abs/0811.3476v6

Phys. Rev. E, 81, 021104 (2010)

Physics

Condensed Matter

Statistical Mechanics

23 pages, 3 figures, Content has been extended and revised

Scientific paper

10.1103/PhysRevE.81.021104

An error correcting code using a tree-like multilayer perceptron is proposed. An original message $\mbi{s}^0$ is encoded into a codeword $\boldmath{y}_0$ using a tree-like committee machine (committee tree) or a tree-like parity machine (parity tree). Based on these architectures, several schemes featuring monotonic or non-monotonic units are introduced. The codeword $\mbi{y}_0$ is then transmitted via a Binary Asymmetric Channel (BAC) where it is corrupted by noise. The analytical performance of these schemes is investigated using the replica method of statistical mechanics. Under some specific conditions, some of the proposed schemes are shown to saturate the Shannon bound at the infinite codeword length limit. The influence of the monotonicity of the units on the performance is also discussed.

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