PASCAL - Pattern Analysis, Statistical Modelling and Computational Learning

A new lower-bound for the maximin redundancy in pattern coding
Aurelien Garivier
IEEE - Trans. on Information Theory 2006.


We show that the maximin average redundancy in pattern coding is eventually larger than 1.84 (n/ log n)^(1/3) for messages of length n. This completes the results obtained recently on pattern redundancy, although it does not fill the gap between known lower- and upper-bounds. The problem of pattern coding raised much interest recently, as strongly universal codes have been proved to exist for patterns while universal message coding is impossible for memoryless sources on an infinite alphabet. The proof uses fine combinatorial results on partitions with small summands.

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EPrint Type:Article
Project Keyword:Project Keyword UNSPECIFIED
Subjects:Learning/Statistics & Optimisation
Theory & Algorithms
ID Code:2706
Deposited By:Aurelien Garivier
Deposited On:22 November 2006