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On the Complexity of Finite Sequences
Abstract
A new approach to the problem of evaluating the complexity ("randomness") of finite sequences is presented. The proposed complexity measure is related to the number of steps in a self-delimiting production process by which a given sequence is presumed to be generated. It is further related to the number of distinct substrings and the rate of their occurrence along the sequence. The derived properties of the proposed measure are discussed and motivated in conjunction with other well-established complexity criteria.
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Citations
Cited by
Handbook of applied cryptography
(1997) · Choice Reviews Online · doi:10.5860/choice.34-4512 · Cited by 10,357
A universal algorithm for sequential data compression
Ziv, J., & Lempel, A. (1977) · IEEE Transactions on Information Theory · doi:10.1109/tit.1977.1055714 · Cited by 5,456
Self-citationCompression of individual sequences via variable-rate coding
Ziv, J., & Lempel, A. (1978) · IEEE Transactions on Information Theory · doi:10.1109/tit.1978.1055934 · Cited by 3,432
Self-citationA theoretically based index of consciousness independent of sensory processing and behavior
Casali, A. G., Gosseries, O., Rosanova, M., Boly, M., Sarasso, S., Casali, K. R., Casarotto, S., Bruno, M.-A., Laureys, S., Tononi, G., et al. (2013) · Science Translational Medicine · doi:10.1126/scitranslmed.3006294 · Cited by 1,246
A Statistical Measure of Complexity
López-Ruiz, R., Mancini, H. L., & Calbet, X. (1995) · Physics Letters A · doi:10.1016/0375-9601(95)00867-5 · Cited by 920
Metadata
- Authors
- Lempel, A., & Ziv, J.
- Venue
- IEEE Transactions on Information Theory
- Published
- 1976-01
- Volume
- 22
- Issue
- 1
- Pages
- 75-81
- ISSN
- 0018-9448 (ISSN-L)
- 1557-9654
- OpenAlex
- W2077770566
- Cited by
- 2,717
- References
- 0
- FWCI
- 4.29
- Type
- journal article
- Language
- en
- Open access
- closed
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- Lempel, A., & Ziv, J. (1976). On the Complexity of Finite Sequences. IEEE Transactions on Information Theory. https://doi.org/10.1109/tit.1976.1055501
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