Kolmogorov complexity in perspective
Abstract
We survey the diverse approaches to the notion of information content: from Shannon entropy to Kolmogorov complexity. The main applications of Kolmogorov complexity are presented namely, the mathematical notion of randomness (which goes back to the 60's with the work of Martin-Lof, Schnorr, Chaitin, Levin), and classification, which is a recent idea with provocative implementation by Vitanyi and Cilibrasi.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2008
- DOI:
- 10.48550/arXiv.0801.0354
- arXiv:
- arXiv:0801.0354
- Bibcode:
- 2008arXiv0801.0354F
- Keywords:
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- Mathematics - Logic;
- Computer Science - Computational Complexity;
- Computer Science - Information Theory
- E-Print:
- 37 pages