Results 11 to 20 of about 48,204 (251)
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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Segmentation Method for Ship-Radiated Noise Using the Generalized Likelihood Ratio Test on an Ordinal Pattern Distribution [PDF]
Entropy, 2020 Due to the diversity of ship-radiated noise (SRN), audio segmentation is an essential procedure in the ship statuses/categories identification. However, the existing segmentation methods are not suitable for the SRN because of the lack of prior knowledge.
Lei He +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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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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Ordinal Random Processes [PDF]
EntropyOrdinal patterns have proven to be a valuable tool in many fields. Here, we address the need for theoretical models. A paradigmatic example shows that a model for frequencies of ordinal patterns can be determined without any numerical values.
Christoph Bandt
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Generalized Ordinal Patterns and the KS-Entropy [PDF]
Entropy, 2021 Ordinal patterns classifying real vectors according to the order relations between their components are an interesting basic concept for determining the complexity of a measure-preserving dynamical system. In particular, as shown by C. Bandt, G. Keller and B.
Tim Gutjahr, Karsten Keller
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Ordinal analysis of lexical patterns
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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Proceedings of the International Florida Artificial Intelligence Research Society Conference, 2021 The estimation of the qualitative behaviour of fractional Brownian motion is an important topic for modelling real-world applications. Permutation entropy is a well-known approach to quantify the complexity of univariate time series in a scalar-valued ...
Marisa Mohr +2 more
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Statistically Significant Pattern Mining with Ordinal Utility [PDF]
Proceedings of the 26th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining, 2020 Statistically significant patterns mining (SSPM) is an essential and challenging data mining task in the field of knowledge discovery in databases (KDD), in which each pattern is evaluated via a hypothesis test. Our study aims to introduce a preference relation into patterns and to discover the most preferred patterns under the constraint of ...
Thien Q. Tran +3 more
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Ordinal patterns in long‐range dependent time series [PDF]
Scandinavian Journal of Statistics, 2020 AbstractWe analyze the ordinal structure of long‐range dependent time series. To this end, we use so called ordinal patterns which describe the relative position of consecutive data points. We provide two estimators for the probabilities of ordinal patterns and prove limit theorems in different settings, namely stationarity and (less restrictive ...
Annika Betken +5 more
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