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Multiscale two-dimensional permutation entropy to analyze encrypted images

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2023
Multiscale versions of weighted (and non-weighted) permutation entropy for two dimensions are considered in order to compare and analyze the results when different experiments are conducted. We propose the application of these measures to analyze encrypted images with different security levels and encryption methods.
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Multiscale Permutation Entropy of Physiological Time Series

2005 Pakistan Section Multitopic Conference, 2005
Time series derived from simpler systems are single scale based and thus can be quantified by using traditional measures of entropy. However, times series derived from physical and biological systems are complex and show structures on multiple spatio-temporal scales.
Wajid Aziz, Muhammad Arif
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Multiscale joint permutation entropy for complex time series

Physica A: Statistical Mechanics and its Applications, 2019
Abstract In this paper, we propose the multiscale joint permutation entropy (MJPE) to study the synchronism between two complex time series from the view of ordinal pattern and multiple scales. First, we use the Rossler system using active control, two-component ARFIMA processes to test the effectiveness of MJPE and also add some noise to the ARFIMA ...
Yi Yin   +3 more
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Weighted multiscale permutation entropy of financial time series

Nonlinear Dynamics, 2014
In this paper, we propose the weighted multiscale permutation entropy (WMPE) as a novel measure to quantify the complexity of nonlinear time series containing amplitude-coded information. WMPE is different from multiscale permutation entropy (MPE) in the sense that it suits better signals having considerable amplitude information and also succeed in ...
Yi Yin, Pengjian Shang
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Multiscale Permutation Entropy: Statistical Characterization on Autoregressive and Moving Average Processes

2019 27th European Signal Processing Conference (EUSIPCO), 2019
Multiscale Permutation Entropy (MPE), an extension of Permutation Entropy (PE), was proposed to better capture the information content in long range trends. This technique has been extensively used in biomedical applications for diagnosis purposes. Although PE theory is well established and explored, there is still a lack of theoretical development for
Antonio Dávalos   +3 more
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Multiscale permutation entropy analysis of EEG recordings during sevoflurane anesthesia

Journal of Neural Engineering, 2010
Electroencephalogram (EEG) monitoring of the effect of anesthetic drugs on the central nervous system has long been used in anesthesia research. Several methods based on nonlinear dynamics, such as permutation entropy (PE), have been proposed to analyze EEG series during anesthesia.
Duan, Li   +4 more
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SVM classification of epileptic EEG recordings through multiscale permutation entropy

The 2013 International Joint Conference on Neural Networks (IJCNN), 2013
Electroencephalogram (EEG) is a non-invasive diagnostic tool in clinical neurophysiology, especially with respect to epilepsy. The epileptic status is characterized by reduced complexity. New markers, based on nonlinear dynamics, like Permutation Entropy (PE) have been developed to measure EEG complexity.
Domenico Labate   +5 more
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Complexity Analysis of EEG Data with Multiscale Permutation Entropy

2010
In this study, we propose a powerful tool, called multiscale permutation entropy (MPE), to evaluate the dynamical characteristics of electroencephalogram (EEG) at the duration of epileptic seizure and seizure-free states. Numerical simulation analysis shows that MPE method is able to distinguish between the stochastic noise and deterministic chaotic ...
Gaoxiang Ouyang   +2 more
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Theoretical Study of Multiscale Permutation Entropy on Finite-Length Fractional Gaussian Noise

2018 26th European Signal Processing Conference (EUSIPCO), 2018
Permutation Entropy has been used as a robust and fast approach to calculate complexity of time series. There have been extensive studies on the properties and behavior of Permutation Entropy on known signals. Similarly, Multiscale Permutation Entropy has been used to analyze the structures at different time scales.
Antonio Dávalos   +3 more
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Application of cross-channel multiscale permutation entropy in measuring multichannel data complexity

Chaos: An Interdisciplinary Journal of Nonlinear Science
Entropy is a pivotal concept in nonlinear dynamics, revealing chaos, self-organization, and information transmission in complex systems. Permutation entropy, due to its computational efficiency and lower data length requirements, has found widespread use in various fields.
Weijia Li   +4 more
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