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A Tutorial on Hierarchical Lossless Data Compression

In: Modeling Uncertainty

Author

Listed:
  • John C. Kieffer

    (University of Minnesota)

Abstract

Hierarchical lossless data compression is a compression technique that has been shown to effectively compress data in the face of uncertainty concerning a proper probabilistic model for the data. In this technique, one represents a data sequence x using one of three kinds of structures: (1) a tree called a pointer tree, which generates x via a procedure called “subtree copying”; (2) a data flow graph which generates x via a flow of data sequences along its edges; or (3) a contextfree grammar which generates x via parallel substitutions accomplished with the production rules of the grammar. The data sequence is then compressed indirectly via compression of the structure which represents it. This article is a survey of recent advances in the rapidly growing field of hierarchical lossless data compression. In the article, we illustrate how the three distinct structures for representing a data sequence are equivalent, outline a simple method for designing compact structures for re presenting a data sequence, and indicate the level of compression performance that can be obtained by compression of the structure representing a data sequence.

Suggested Citation

  • John C. Kieffer, 2002. "A Tutorial on Hierarchical Lossless Data Compression," International Series in Operations Research & Management Science, in: Moshe Dror & Pierre L’Ecuyer & Ferenc Szidarovszky (ed.), Modeling Uncertainty, chapter 0, pages 711-733, Springer.
  • Handle: RePEc:spr:isochp:978-0-306-48102-4_28
    DOI: 10.1007/0-306-48102-2_28
    as

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