Statistical mechanics of lossy data compression using a non-monotonic perceptron

Details Statistical mechanics of lossy data compression using a non-monotonic perceptron Statistical mechanics of lossy data compression using a non-monotonic perceptron

2002-07-15

arxiv.org/abs/cond-mat/0207356v2

Physics

Condensed Matter

Statistical Mechanics

9 pages, 5 figures, Physical Review E

Scientific paper

10.1103/PhysRevE.66.066126

The performance of a lossy data compression scheme for uniformly biased Boolean messages is investigated via methods of statistical mechanics. Inspired by a formal similarity to the storage capacity problem in the research of neural networks, we utilize a perceptron of which the transfer function is appropriately designed in order to compress and decode the messages. Employing the replica method, we analytically show that our scheme can achieve the optimal performance known in the framework of lossy compression in most cases when the code length becomes infinity. The validity of the obtained results is numerically confirmed.

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