Results 241 to 250 of about 63,575 (285)
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International Journal of Bifurcation and Chaos, 1995
The entropy of a permutation is the (topological) entropy of the "connect-the-dots" map determined by it. We give matrix- and graph-theoretic, geometric, and dynamical characterizations of zero entropy permutations, as well as a procedure for constructing all of them. We also include some information about the number of zero entropy permutations.
Block, Louis +2 more
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The entropy of a permutation is the (topological) entropy of the "connect-the-dots" map determined by it. We give matrix- and graph-theoretic, geometric, and dynamical characterizations of zero entropy permutations, as well as a procedure for constructing all of them. We also include some information about the number of zero entropy permutations.
Block, Louis +2 more
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Topological permutation entropy
Physica D: Nonlinear Phenomena, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Amigó, José M., Kennel, Matthew B.
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Information Processing & Management, 2020
Abstract Proper parameters can improve performance of entropy methods for discerning electrocardiogram (ECG) signals. So, we tried to determine proper parameters of three entropy methods i.e., a novel permutation ratio entropy (PRE), sample entropy (SmpE) and permutation entropy (PE) for discerning several typical ECG RR interval recordings i.e ...
Jian Yin +5 more
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Abstract Proper parameters can improve performance of entropy methods for discerning electrocardiogram (ECG) signals. So, we tried to determine proper parameters of three entropy methods i.e., a novel permutation ratio entropy (PRE), sample entropy (SmpE) and permutation entropy (PE) for discerning several typical ECG RR interval recordings i.e ...
Jian Yin +5 more
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Cumulative Permuted Fractional Entropy and its Applications
IEEE Transactions on Neural Networks and Learning Systems, 2021Fractional calculus and entropy are two essential mathematical tools, and their conceptions support a productive interplay in the study of system dynamics and machine learning. In this article, we modify the fractional entropy and propose the cumulative permuted fractional entropy (CPFE).
Boyi Zhang, Pengjian Shang
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IEEE Signal Processing Letters, 2015
Multiscale permutation entropy (MPE) has recently been proposed to evaluate complexity of time series. MPE has numerous advantages over other multiscale complexity measures, such as its simplicity, robustness to noise and its low computational cost.
Anne Humeau-Heurtier +2 more
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Multiscale permutation entropy (MPE) has recently been proposed to evaluate complexity of time series. MPE has numerous advantages over other multiscale complexity measures, such as its simplicity, robustness to noise and its low computational cost.
Anne Humeau-Heurtier +2 more
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Permutation entropy with vector embedding delays
Physical Review E, 2017Permutation entropy (PE) is a statistic used widely for the detection of structure within a time series. Embedding delay times at which the PE is reduced are characteristic timescales for which such structure exists. Here, a generalized scheme is investigated where embedding delays are represented by vectors rather than scalars, permitting PE to be ...
Douglas J, Little, Deb M, Kane
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PARAMETER SELECTION FOR PERMUTATION ENTROPY MEASUREMENTS
International Journal of Bifurcation and Chaos, 2007We investigate the applicability of the permutation entropy H and a synchronization index γ that is based on the changing tendency of temporal permutation entropies to analyze noisy time series from nonstationary dynamical systems with poorly understood properties. Using model systems, we first study the interdependencies of parameters involved in the
Staniek, Matthäus, Lehnertz, Klaus
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Practical considerations of permutation entropy
The European Physical Journal Special Topics, 2013More than ten years ago Bandt and Pompe introduced a new measure to quantify complexity in measured time series. During these ten years, this measure has been modified and extended. In this review we will give a brief introduction to permutation entropy, explore the different fields of utilization where permutation entropy has been applied and provide ...
M. Riedl, A. Müller, N. Wessel
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Partially ordered permutation entropies
The European Physical Journal B, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Modified permutation-entropy analysis of heartbeat dynamics
Physical Review E, 2012Heart rate variability (HRV) contains important information about the modulation of the cardiovascular system. Various methods of nonlinear dynamics (e.g., estimating Lyapunov exponents) and complexity measures (e.g., correlation dimension or entropies) have been applied to HRV analysis. Permutation entropy, which was proposed recently, has been widely
Chunhua, Bian +3 more
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