Ordinal pattern dependence as a multivariate dependence measure [PDF]
Journal of Multivariate Analysis, 2021 In this article, we show that the recently introduced ordinal pattern dependence fits into the axiomatic framework of general multivariate dependence measures, i.e., measures of dependence between two multivariate random objects. Furthermore, we consider multivariate generalizations of established univariate dependence measures like Kendall's $τ ...
Annika Betken +3 more
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Diagnosis of Mild Cognitive Impairment With Ordinal Pattern Kernel
IEEE Transactions on Neural Systems and Rehabilitation Engineering, 2022 Mild cognitive impairment (MCI) belongs to the prodromal stage of Alzheimer’s disease (AD). Accurate diagnosis of MCI is very important for possibly deferring AD progression.
Kai Ma, Shuo Huang, Daoqiang Zhang
doaj +3 more sources
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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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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Ordinal analysis of lexical patterns [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2023 Words are fundamental linguistic units that connect thoughts and things through meaning. However, words do not appear independently in a text sequence. The existence of syntactic rules induces correlations among neighboring words. Using an ordinal pattern approach, we present an analysis of lexical statistical connections for 11 major languages.
David Sánchez +4 more
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Multiscale Ordinal-Pattern Dynamics and Temporal Symmetries in a Photonic Neuron with Single and Dual Delayed Feedback [PDF]
EntropyFeedback delays and the coexistence of multiple timescales are central features of complex dynamical systems, ranging from neural networks and ecosystems to electronic and optical devices. Interactions between fast and slow dynamics can give rise to rich
Julian Feiveson +3 more
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Atom's Dynamics and Crystal Structure: An Ordinal Pattern Method. [PDF]
J Phys Chem AThe ubiquitous nature of thermal fluctuations poses a limitation on the identification of crystal structures. However, the trajectory of an atom carries a fingerprint of its surroundings. This rationalizes the search for a method that can determine the local atomic configuration via the analysis of the movement of an individual atom.
Abram R, Nowak R, Chrobak D.
europepmc +4 more sources
Ordinal Spectrum: Mapping Ordinal Patterns into Frequency Domain
EntropyClassical spectral analysis characterizes linear systems effectively but often fails to reveal the nonlinear temporal structure of chaotic dynamics. We introduce the ordinal spectrum, a frequency-domain characterization derived from the ordinal-pattern ...
Mario Chavez, Johann H. Martínez
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Wiggles and Curves: The Analysis of Ordinal Patterns
Problemy Zarządzania, 2016 Almost all social science data are analysed with variants of the General Linear Model (GLM): regression analyses, analyses of variance, factor analyses, path analyses and the like.
Warren Thorngate, Chunyun Ma
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Information-Based Similarity of Ordinal Pattern Sequences as a Novel Descriptor in Obstructive Sleep Apnea Screening Based on Wearable Photoplethysmography Bracelets [PDF]
Biosensors, 2022 Mingjing Chen, Guanzheng Liu, Shan Wu
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