Characterizing dynamical transitions by statistical complexity measures based on ordinal pattern transition networks.
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DOI: 10.1063/5.0038876
Abstract: Complex network approaches have been recently emerging as novel and complementary concepts of nonlinear time series analysis that are able to unveil many features that are hidden to more traditional analysis methods. In this work,… read more here.
Keywords: statistical complexity; time series; transition; ordinal pattern ... See more keywords
Ordinal pattern-based complexity analysis of high-dimensional chaotic time series.
Sign Up to like & getrecommendations! Published in 2023 at "Chaos"
DOI: 10.1063/5.0147219
Abstract: The ordinal pattern-based complexity-entropy plane is a popular tool in nonlinear dynamics for distinguishing stochastic signals (noise) from deterministic chaos. Its performance, however, has mainly been demonstrated for time series from low-dimensional discrete or continuous… read more here.
Keywords: high dimensional; ordinal pattern; complexity; time series ... See more keywords
Diagnosis of Mild Cognitive Impairment With Ordinal Pattern Kernel
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Neural Systems and Rehabilitation Engineering"
DOI: 10.1109/tnsre.2022.3166560
Abstract: 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. Graph kernels, which measure the similarity between paired brain connectivity… read more here.
Keywords: brain connectivity; graph; ordinal pattern; pattern kernel ... See more keywords
Extracting Robust Biomarkers From Multichannel EEG Time Series Using Nonlinear Dimensionality Reduction Applied to Ordinal Pattern Statistics and Spectral Quantities
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DOI: 10.3389/fphys.2020.614565
Abstract: 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. As characteristic features, functional connectivity as well as single-channel… read more here.
Keywords: pattern; time; ordinal pattern; dimensionality reduction ... See more keywords
Algorithmics, Possibilities and Limits of Ordinal Pattern Based Entropies
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DOI: 10.3390/e21060547
Abstract: 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. However, efficient and… read more here.
Keywords: possibilities limits; pattern based; algorithmics possibilities; based entropies ... See more keywords
Ordinal Pattern Based Entropies and the Kolmogorov–Sinai Entropy: An Update
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DOI: 10.3390/e22010063
Abstract: 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… read more here.
Keywords: kolmogorov sinai; permutation; entropy; ordinal pattern ... See more keywords