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On Rényi Permutation Entropy [PDF]
Entropy, 2021 Among various modifications of the permutation entropy defined as the Shannon entropy of the ordinal pattern distribution underlying a system, a variant based on Rényi entropies was considered in a few papers.
Tim Gutjahr, Karsten Keller
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Research on the Threshold Determination Method of the Duffing Chaotic System Based on Improved Permutation Entropy and Poincaré Mapping [PDF]
Entropy, 2023 The transition from a chaotic to a periodic state in the Duffing chaotic oscillator detection system is crucial in detecting weak signals. However, accurately determining the critical threshold for this transition remains a challenging problem ...
Jing Zhou, Yaan Li, Mingzhou Wang
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Ensemble Improved Permutation Entropy: A New Approach for Time Series Analysis [PDF]
Entropy, 2023 Entropy quantification approaches have gained considerable attention in engineering applications. However, certain limitations persist, including the strong dependence on parameter selection, limited discriminating power, and low robustness to noise.
Zhe Chen +3 more
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Improved method for detecting weak abrupt information based on permutation entropy
Advances in Mechanical Engineering, 2017 As a dynamic detecting method for abrupt information, permutation entropy could effectively reflect the subtle change in time series data, which is also simple and can be computed conveniently.
Shaopu Yang, Yongjun Shen
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Generalized Gaussian Distribution Improved Permutation Entropy: A New Measure for Complex Time Series Analysis [PDF]
EntropyTo enhance the performance of entropy algorithms in analyzing complex time series, generalized Gaussian distribution improved permutation entropy (GGDIPE) and its multiscale variant (MGGDIPE) are proposed in this paper.
Kun Zheng +4 more
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Permutation Entropy and Its Main Biomedical and Econophysics Applications: A Review
Entropy, 2012 Entropy is a powerful tool for the analysis of time series, as it allows describing the probability distributions of the possible state of a system, and therefore the information encoded in it.
Osvaldo Rosso +2 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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Entropy, 2023 The study focuses on the fault signals of rolling bearings, which are characterized by nonlinearity, periodic impact, and low signal-to-noise ratio.
Qiang Yuan +5 more
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Ordinal Pattern Based Entropies and the Kolmogorov–Sinai Entropy: An Update
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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Frontiers in Physics, 2023 Most of the existing studies on the improvement of entropy are based on the theory of single entropy, ignoring the relationship between one entropy and another. Inspired by the synergistic relationship between bubble entropy (BE) and permutation entropy (
Xinru Jiang +3 more
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