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A Universal Algorithm for Sequential Data Compression (1977) [799 citations — 3 self]

by Jacob Ziv ,  Abraham Lempel
IEEE Transactions on Information Theory
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Abstract:

A universal algorithm for sequential data compres- sion is presented. Its performance is investigated with respect to a nonprobabilistic model of constrained sources. The compression ratio achieved by the proposed universal code uniformly approaches the lower bounds on the compression ratios attainable by block-to-variable codes and variable-to-block codes designed to match a completely specified source.

Citations

846 Information Theory and Reliable Communication – Gallager - 1968
613 A method for the construction of minimum-redundancy codes – Huffman - 1952
134 On the Complexity of Finite Sequences – Lempel, Ziv - 1976
57 Universal noiseless coding – Davisson - 1973
29 Minimum-redundancy coding for the discrete noiseless channel – Karp - 1961
15 Efficient Generation of Optimal Prefix Code: Equiprobable Words Using Unequal Cost Letters – Perl, Garey, et al. - 1975
11 Coding of sources with unknown statistics—Part II: Distortion relative to a fidelity criterion – Ziv - 1972
10 An algorithm for optimal prefix parsing of a noiseless and memoryless channel – Lempel, Cohen - 1973
4 Optimal Coding in the Case of Unknown and Changing Message Statistics, Probl – Fitingof - 1965
3 On variable length to block coding – Jelinek, Schneider - 1972
1 Optimal variable length codes – Varn - 1971
1 An algorithm for optimal prefix parsing of a noiseless and memoryless channel – ACM - 1975