Ordinal Pattern Dependence in the Context of Long-Range Dependence [PDF]
Entropy, 2021 Ordinal pattern dependence is a multivariate dependence measure based on the co-movement of two time series. In strong connection to ordinal time series analysis, the ordinal information is taken into account to derive robust results on the dependence ...
Ines Nüßgen, Alexander Schnurr
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Ordinal Patterns, Entropy, and EEG [PDF]
Entropy, 2014 In this paper we illustrate the potential of ordinal-patterns-based methods for analysis of real-world data and, especially, of electroencephalogram (EEG) data. We apply already known (empirical permutation entropy, ordinal pattern distributions) and new
Karsten Keller +2 more
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Algorithmics, Possibilities and Limits of Ordinal Pattern Based Entropies [PDF]
Entropy, 2019 The study of nonlinear and possibly chaotic time-dependent systems involves long-term data acquisition or high sample rates. The resulting big data is valuable in order to provide useful insights into long-term dynamics.
Albert B. Piek +2 more
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Including the Magnitude Variability of a Signal in the Ordinal Pattern Analysis [PDF]
EntropyOne of the most popular and innovative methods to analyse signals is by using Ordinal Patterns (OPs). The OP encoding is based on transforming a (univariate) signal into a symbolic sequence of OPs, where each OP represents the number of permutations ...
Melvyn Tyloo +2 more
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Change-Point Detection Using the Conditional Entropy of Ordinal Patterns [PDF]
Entropy, 2018 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 the local up and down in a time series is introduced and investigated.
Anton M. Unakafov, Karsten Keller
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Extracting Robust Biomarkers From Multichannel EEG Time Series Using Nonlinear Dimensionality Reduction Applied to Ordinal Pattern Statistics and Spectral Quantities [PDF]
Frontiers in Physiology, 2021 In this study, ordinal pattern analysis and classical frequency-based EEG analysis methods are used to differentiate between EEGs of different age groups as well as individuals.
Inga Kottlarz +15 more
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Ordinal Pattern Based Entropies and the Kolmogorov–Sinai Entropy: An Update [PDF]
Entropy, 2020 Different authors have shown strong relationships between ordinal pattern based entropies and the Kolmogorov−Sinai entropy, including equality of the latter one and the permutation entropy, the whole picture is however far from being complete. This
Tim Gutjahr, Karsten Keller
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Capturing synchronization with complexity measure of ordinal pattern transition network constructed by crossplot [PDF]
Royal Society Open Science, 2023 To evaluate the synchronization of bivariate time series has been a hot topic, and a number of measures have been proposed. In this work, by introducing the ordinal pattern transition network into the crossplot, a new method for measuring the ...
Xiaobi Chen +7 more
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Permutation Entropy: An Ordinal Pattern-Based Resilience Indicator for Industrial Equipment [PDF]
EntropyIn a highly dynamic and complex environment where risks and uncertainties are inevitable, the ability of a system to quickly recover from disturbances and maintain optimal performance is crucial for ensuring operational continuity and efficiency. In this
Christian Salas +3 more
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Generalized Weighted Ordinal Pattern Descriptors for the Characterization of Adventitious Respiratory Sounds [PDF]
EntropyAutomatic characterization of adventitious respiratory sounds is essential for developing computer-aided systems that support respiratory disease diagnosis.
Jorge I. Lopez Perez +2 more
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