(2011) Entropy Measures vs. Kolmogorov Complexity. Entropy 13: pp. 595-611Teixeira, A.; Matos, A.; Souto, A.; Antunes, L. Entropy measures vs. Kolmogorov complexity. Entropy 2011, 13, 595-611.Teixeira, Andreia, Andre Souto, Armando Matos, Luis Antunes (2014). Entropy Measures vs. ...
Uspensky, V., Complexity and entropy: an introduction to the theory of Kolmogorov complexity, in Koomogorov Complexity and Computational Complexity, (O. Watanabe, ed.), Springer-Verlag, New York, 1992.Uspensky, V.A.: Complexity and entropy: an introduction to the theory of Kolmogorov complexity...
An Announce of Results Linking Kolmogorov Complexity to Entropy for Amenable Group Actions We announce a generalization of Brudno's results on the relation between the Kolmogorov complexity and the entropy of a subshift for actions of computable ... AV Alpeev - 《Journal of Mathematical Sciences...
Other research papers have also attempted to apply this theorem to train machine learning models in the past. However, this particular paper takes a step further by expanding the idea. It introduces a more generalized approach so that we can train neural networks of any size and complexity usi...
Sohoni, Geometric Complexity Theory I: An Approach to the P vs. NP and Related Problems" [MS02] for a general complexity-theory audience. We evaluate the power and prospects of the new approach. The emphasis is not on probing the deep mathematics that underlies this work, but rather on ...
Kolmogorov A Note on Complexity and Entropy
Kolmogorov complexityErgodic sourceEntropy rateIt is shown that the Kolmogorov complexity per symbol of an n-sequence from a stationary ergodic source of finite alphabet approaches the entropy rate of the source in probability as n becomes large....
Some equivalences between Shannon entropy and Kolmogorov complexity Some relations are established among the Kolmogorov, Chaitin, and extension complexities. Finally it is shown that, for all computable probability distribu... SK Leung-Yan-Cheong - 《IEEE Transactions on Information Theory》 被引量: ...
It turns out that (1) all linear inequalities that are valid for Kolmogorov complexity are also valid for Shannon entropy and vice versa; (2) all linear inequalities that are valid for Shannon entropy are valid for ranks of finite subsets of linear spaces; (3) the opposite statement is not...
Entropy Measures vs. Kolmogorov Complexity We prove that, for universal time-bounded distribution m t(x), Tsallis and Rényi entropies converge if and only if α is greater than 1. We also ... A Teixeira,A Matos,A Souto,... - 《Entropy》 被引量: 39发表: 2011年 Universality classes ...