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Conditional Lempel-Ziv complexity and its application to source coding theorem with side information

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2 Author(s)
Uyematsu, T. ; Dept. of Commun. & Integrated Syst., Tokyo Inst. of Technol., Japan ; Kuzuoka, S.

This paper proposes the conditional LZ complexity and analyzes its property. Especially, we show an inequality corresponding to Ziv's inequality concerning a distinct parsing of a pair of sequences. Further, as a byproduct of the result, we show a simple proof of the asymptotical optimality of Ziv's universal source coding algorithm with side information.

Published in:

Information Theory, 2003. Proceedings. IEEE International Symposium on

Date of Conference:

29 June-4 July 2003