76 citations · 251 across the 13 of their papers we have counts for
14 papers
On entropy, entropy-like quantities, and applications
José M. Amigó, Karsten Keller, Valentina Unakafova
This is a review on entropy in various fields of mathematics and science. Its scope is to convey a unified vision of the classical as well as some newer entropy notions to a broad…
Quantification of fracture roughness by change probabilities and Hurst exponents
Tim Gutjahr, Sina Hale, Karsten Keller +2
The objective of the current study is to utilize an innovative method called 'change probabilities' for describing fracture roughness. In order to detect and visualize anisotropy o…
Equality of Kolmogorov-Sinai and permutation entropy for one-dimensional maps consisting of countably many monotone parts
Tim Gutjahr, Karsten Keller
In this paper, we show that, under some technical assumptions, the Kolmogorov-Sinai entropy and the permutation entropy are equal for one-dimensional maps if there exists a countab…
Tsallis entropy and generalized Shannon additivity
Sonja Jäckle, Karsten Keller
The Tsallis entropy given for a positive parameter can be considered as a modification of the classical Shannon entropy. For the latter, corresponding to , there exist man…
Change-point detection using the conditional entropy of ordinal patterns
Anton M. Unakafov, Karsten Keller
This paper is devoted to change-point detection using only the ordinal structure of a time series. A statistic based on the conditional entropy of ordinal patterns characterizing t…
An approach to comparing Kolmogorov-Sinai and permutation entropy
Valentina A. Unakafova, Anton M. Unakafov, Karsten Keller
In this paper we investigate a quantity called conditional entropy of ordinal patterns, akin to the permutation entropy. The conditional entropy of ordinal patterns describes the a…