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Ordinal pattern dependence and multivariate measures of dependence [PDF]
Journal of Multivariate AnalysisOrdinal pattern dependence has been introduced in order to capture co-monotonic behavior between two time series. This concept has several features one would intuitively demand from a dependence measure. It was believed that ordinal pattern dependence satisfies the axioms which Grothe et al. (Journal of Multivariate Analysis 123, 2014) proclaimed for a
Angelika Silbernagel, Alexander Schnurr
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Entropy-Based Uncertainty-Aware Exploratory Factor Analysis for Ordinal Data: Application to Tramway Cultural Tourism Evaluation [PDF]
EntropyBackground: Perception-based evaluation using Likert-scale survey data is widely applied in tourism and transport research, yet conventional point-valued encoding imposes artificial precision and overlooks ambiguity between adjacent ordinal categories ...
Jiaozi Pu, Yaxin Shi
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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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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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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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Ordinal patterns in the Duffing oscillator: Analyzing powers of characterization [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2021 Ordinal patterns are a time-series data analysis tool used as a preliminary step to construct the permutation entropy, which itself allows the same characterization of dynamics as chaotic or regular as more theoretical constructs such as the Lyapunov exponent.
Ivan Gunther +2 more
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Statistical properties of the entropy from ordinal patterns
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2022 The ultimate purpose of the statistical analysis of ordinal patterns is to characterize the distribution of the features they induce. In particular, knowing the joint distribution of the pair entropy-statistical complexity for a large class of time series models would allow statistical tests that are unavailable to date.
E. T. C. Chagas +5 more
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Ordinal pattern transition networks in eye tracking reading signals [PDF]
, 2023 Eye tracking is an emerging technology with a wide spectrum of applications, including non-invasive neurocognitive diagnosis. An advantage of the use of eye trackers is in the improved assessment of indirect latent information about several aspects of ...
O. A. Rosso +9 more
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The frequency of pattern occurrence in random walks [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 In the past decade, the use of ordinal patterns in the analysis of time series and dynamical systems has become an important tool. Ordinal patterns (otherwise known as a permutation patterns) are found in time series by taking $n$ data points at evenly ...
Sergi Elizalde, Megan Martinez
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Conditional entropy of ordinal patterns [PDF]
Physica D: Nonlinear Phenomena, 2014 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 average diversity of the ordinal patterns succeeding a given ordinal pattern.
Unakafov, Anton M., Keller, Karsten
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