Sequential Recurrence-Based Multidimensional Universal Source Coding of Lempel-Ziv Type

Tyll Krüger, Guido Montúfar, Ruedi Seiler, and Rainer Siegmund-Schultze

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Submission date: 19. Aug. 2014
Pages: 11
Bibtex
MSC-Numbers: 68P30
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Abstract:
We define an algorithm that parses multidimensional arrays sequentially into mainly unrepeated but nested multidimensional sub-arrays of increasing size, and show that the resulting sub-block pointer encoder compresses almost every realization of any finite-alphabet ergodic process on ℤ_≥0^d to the entropy, in the limit.