Lempel-Ziv dimension for Lempel-Ziv compression

被引:0
|
作者
Lopez-Valdes, Maria [1 ]
机构
[1] Univ Zaragoza, Dept Informat & Ingn Sist, E-50018 Zaragoza, Spain
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中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper describes the Lempel-Ziv dimension (Hausdorff like dimension inspired in the LZ78 parsing), its fundamental properties and relation with Hausdorff dimension. It is shown that in the case of individual infinite sequences, the Lempel-Ziv dimension matches with the asymptotical Lempel-Ziv compression ratio. This fact is used to describe results on Lempel-Ziv compression in terms of dimension of complexity classes and vice versa.
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收藏
页码:693 / 703
页数:11
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