Publications - Prof. Dr. Karsten Keller

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2022

• Mohr, M., Keller, K. Aus den Auf- und Abwärtsbewegungen einer Zeitreihe lernen Mitteilungen der Deutschen Mathematiker-Vereinigung 30(1) (2022), 25-29
• Weiß, C., Ruiz Marín, M., Keller, K., Matilla-García, M. Non-Parametric Analysis of Serial Dependence in Time Series using Ordinal Patterns to appear in Comput. Stat. Data An. 168

2021

• Gutjahr, T., Keller, K. On Rényi Permutation Entropy Entropy 2022, 24(1), 37 (link)
• Keller, K. (editor) Entropy Measures for Data Analysis II. Theory, Algorithms and Applications Special Issue in Entropy 2021 (link)
• Gutjahr, T., Hale, S., Keller, K., Blum., P., Winter, S. Quantification of fracture roughness by change probabilities and Hurst exponents Math. Geosci. 2021 (link)
• Gutjahr, T., Keller, K. Generalized ordinal patterns and the KS-entropy Entropy 2021, 23(8), 1097 (link)

2020

• Mohr, M., Wilhelm, F., Hartwig, M., Möller, R., Keller, K. New Approaches in Ordinal Pattern Representations for Multivariate Time Series in: Proceedings of the 33rd International Florida Artificial Intelligence Research Society Conference (FLAIRS-20), 2020 (link)
• Gutjahr, T., Keller, K. Ordinal Pattern Based Entropies and the Kolmogorov–Sinai Entropy: An Update Entropy 2020, 22(1), 63 (link)
• Lauenroth, D., Bender, B., Boie, S., Kunze, B., Keller, K. Der Zufall schlägt zu. Stochastischer Zugang zur Entstehung von Antibiotikaresistenzen MNU Journal, Ausgabe 02.2020, Verlag Klaus Seeberger, Neuss (link)
• Keller, K., Petrov, E. Ordinal spaces Acta Math. Hungar. 2020, 160(1), 119–152 SharedIt link

2019

• Keller, K. (editor) Entropy Measures for Data Analysis. Theory, Algorithms and Applications MDPI, Basel, Beijing, Wuhan, Barcelona, Belgrade (link)
• Piek, A. B., Keller, K., Stolz, I. Algorithmics, Possibilities and Limits of Ordinal Pattern Based Entropies Entropy 2019, 21(6), 547 (link)
• Gutjahr, T., Keller, K. Equality of Kolmogorov-Sinai and permutation entropy for one-dimensional maps consisting of countably many monotone parts Discrete Contin. Dyn. Syst. A 39 (2019), 4207-4224 (arXiv)

2018

• Fähnrich, A., Klein, S., Serg´e, A., Nyhoegen, C., Kombrink, S., Möller, S., Keller, K., Westermann, J., Kalies, K. CD154 costimulation shifts the local T cell receptor repertoire not only during thymic selection but also during peripheral T-dependent humoral immune responses Front. Immunol. 9:1019. doi:10.3389/fimmu.2018.01019 (link)
• Unakafov, A.M., Keller, K. Change-point detection using the conditional entropy of ordinal patterns Entropy 20(9) (2018), 709 (pdf)

2017

• Keller, K., Mangold, T., Stolz, I., Werner, J. Permutation Entropy: New Ideas and Challenges Entropy 19(3) (2017), 134 (pdf)
• Jäckle, S., Keller, K. Tsallis entropy and generalized Shannon additivity Axioms 6(2) (2017), 14 (pdf)
• Stolz, I., Keller, K. A General Symbolic Approach to Kolmogorov-Sinai Entropy Entropy 19(12) (2017), 675 (pdf)

2015

• Amigó, J.M., Keller, K. (editors) Special issue on entropy, entropy-like quantities, and applications Discrete Contin. Dyn. Syst. B 20 (2015)
• Amigó, J., Keller, K., Unakafova, V.A. On entropy, entropy-like quantities, and applications Discrete Contin. Dyn. Syst. B 20 (2015), 3301 - 3343
• Keller, K., Maksymenko, S., Stolz, I. Entropy determination based on the ordinal structure of a dynamical system Discrete Contin. Dyn. Syst. B 20 (2015), 3507 - 3524 (arXiv)
• Amigó, J.M., Keller, K., Unakafova, V.A. Ordinal symbolic analysis and its application to biomedical recordings Phil. Trans. Royal. Soc. A 373:20140091 (2015) (pdf)

2014

• Keller, K., Unakafov, A.M., Unakafova, V.A. Ordinal Patterns, Entropy, and EEG Entropy 16(12) (2014), 6212-6239 (pdf)
• Paulick, C., Wright, M.N., Verleger, R., Keller, K. Decomposition of 3-way arrays: a comparison of different PARAFAC algorithms Chemometrics and Intelligent Laboratory Systems 137 (2014), 97-109
• Unakafov, A.M., Keller, K. Conditional entropy of ordinal patterns Physica D: Nonlinear Phenomena 269 (2014), 94-102 (pdf)
• Antoniouk, A., Keller, K., Maksymenko, S. Kolmogorov-Sinai entropy via separation properties of order-generated σ-algebras Discrete Contin. Dyn. Syst. A34 (2014), 1793-1809

2013

• Amigó, J.M., Keller, K., Kurths, J. (editors) Recent Progress in Symbolic Dynamics and Permutation Entropy - Ten Years of Permutation Entropy Eur. Phys. J. Special Topics 222 (2013)
• Unakafova, V.A., Keller, K. Efficiently Measuring Complexity on the Basis of Real-World Data Entropy 15(10) (2013), 4392-4415 (pdf)
• Amigó, J.M., Keller, K. Permutation entropy: One concept, two approaches Eur. Phys. J. Special Topics 222 (2013), 263-273
• Unakafova, V.A., Unakafov, A.M., Keller, K. An approach to comparing Kolmogorov-Sinai and permutation entropy Eur. Phys. J. Special Topics 222 (2013), 353-361 (pdf)
• Sinn, M., Keller, K., Chen, B. Segmentation and classification of time series using ordinal pattern distributions Eur. Phys. J. Special Topics 222 (2013), 587-598
• Keller, K. Visualizing and quantifying EEG complexity on the base of ordinal pattern distributions in: Recent Advances in Predicting and Preventing Epileptic Seizures, Proceedings of the IWSP 5, World Scientic 213
• Verleger, R., Paulick, C., Möcks, J., Smith, J.L., Keller, K. Parafac and Go/No-Go: Disentangling CNV Return From the P3 Complex by Trilinear Component Analysis Int. J. Psychophysiol 87 (2013), 289-300

2012

• Ghodsi, A., Sinn, M., Keller, K. Detecting change-points in time series by kernel mean matching of ordinal pattern distributions 28th Conference on Uncertainty in Artificial Intelligence (UAI) 2012, 786-794
• Keller, K., Unakafov, A.M., Unakafova, V.A. On the Relation of KS Entropy and Permutation Entropy Physica D 241 (2012), 1477-1481 (pdf)
• Girbig, D., Igl, B.W., Keller, K., Prelle, K., Patchev, V., Vonk, R. A dynamic model of circadian rhythms in rodent tail skin temperature for comparison of drug effects J. Circadian Rhythms 10:1 (2012)
• Keller, K. Permutations and the Kolmogorov-Sinai entropy Discrete and Continuous Dynamical Systems, Series A 3 (2012), 891-900

2011

• Sinn, M., Keller, K. Estimation of ordinal pattern probabilities in Gaussian processes with stationary increments Comp. Stat. & Data Anal. 55 (2011), 1781-1790
• Sinn, M., Keller, K. Covariances of zero crossings in mean-zero Gaussian processes Theory Prob. & Applic. 55 (2011), 485-504

2010

• Keller, K., Sinn, M. Ordinal pattern distributions in dynamical systems in: Proceedings ICDA 2007, World Scientific 2010, 299-306
• Keller, K., Sinn, M. Kolmogorov-Sinai entropy from the ordinal viewpoint Physica D (2010), 997-1000

2009

• Keller, K. Sinn, M. A standardized approach to the Kolmogorov-Sinai entropy Nonlinearity 22 (2009), 2417-2422

2008

• Sinn, M., Keller, K. Estimation of ordinal pattern frequencies in fractional Brownian motion Preprint (full paper pdf)

2007

• Keller, K., Lauffer, H., Sinn, M. Ordinal analysis of EEG time series Chaos and Complexity Letters 2 (2007), 247-258
• Keller, K., Sinn, M., Emonds, J. Time series from the ordinal viewpoint Stochastics and Dynamics 2 (2007), 247-272 (full paper pdf)

2006

• Rosso, O.A., Martin, M.T., Figliola, A., Keller, K., Plastino, A. EEG analysis using wavelet-based information tools J. Neuroscie. Meth. 153 (2006), 163-182

2005

• Keller, K., Sinn, M. Ordinal Analysis of Time Series Physica A 356 (2005), 114-120
• Keller, K. and Winter, S. Combinatorics of distance doubling maps Fund. Math. 187 (2005), 1-35

2004

• Keller, K. and Wittfeld, K. Distances of time series components by means of symbolic dynamics Int. J. Bifurcation Chaos 14 (2004), 693-704
• Keller, K. Combinatorics of angle-doubling: Translation Principles for the Mandelbrot set in: Proc. ICDEA 2001, CRC Press 2004, 131-138

2003

• Keller, K. and Lauffer, H. Symbolic analysis of high-dimensional time series Int. J. Bifurcation Chaos 13 (2003), 2657-2668

Former publications

last Edit: April 2022