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 ...
Alexander Schnurr
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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 +2 more
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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 +2 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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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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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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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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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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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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