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Analysis and Comparison of Permutation Entropy, Approximate Entropy and Sample Entropy
2018 International Symposium on Computer, Consumer and Control (IS3C), 2018Permutation entropy, approximate entropy and sample entropy can be used to measure the complexity of time series. The sinusoidal signal changed with length, amplitude, phase and frequency is measured by these three kinds of entropy. Simulation results show that the entropy value is stable when the data length is longer than some value, for example ...
Hong Zhang, Sha-sha He
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FR-IQA - Permutation Entropy Deviation Index
2019 IEEE Visual Communications and Image Processing (VCIP), 2019In this work, a new objective image quality assessment (IQA) framework, based on the working principle of permutation entropy (PE) is proposed. The framework is titled as Permutation Entropy Deviation Index (PEDI). The idea is to design an IQA framework that should be highly accurate as well as computationally efficient; making it viable to be used ...
Mohtashim Baqar +2 more
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2010
The word “entropy” was coined by the German physicist R. Clausius (1822–1888), who introduced it in thermodynamics in 1865 to measure the amount of energy in a system that cannot produce work. The fact that the entropy of an isolated system never decreases constitutes the second law of thermodynamics and clearly shows the central role of entropy in ...
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The word “entropy” was coined by the German physicist R. Clausius (1822–1888), who introduced it in thermodynamics in 1865 to measure the amount of energy in a system that cannot produce work. The fact that the entropy of an isolated system never decreases constitutes the second law of thermodynamics and clearly shows the central role of entropy in ...
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Permutation entropy: Texture characterization in images
2017 XVII Workshop on Information Processing and Control (RPIC), 2017Pattern recognition in time series and in image textures are meaningful areas of information processing. The choice of appropriate descriptors is a fundamental step for the later pattern recognition, considering the degree of discrimination provided by the different possible descriptors.
Adriana P. Antonelli +2 more
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On generalized bidimensional ensemble permutation entropy
Chaos: An Interdisciplinary Journal of Nonlinear ScienceEntropy measurements have become an invaluable resource when analyzing data. Features that can be mathematically calculated in an image or a time series of data can be useful discrimination elements that allow the design of learning algorithms. Permutation entropy in its different versions has been used in time series from real data in the field of ...
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“Digital” Entropy Induced by Unimodal Cyclic Permutations
Bulletin of the Malaysian Mathematical Sciences Society, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Texture Segmentation Based on Permutation Entropy
2009 3rd International Conference on Bioinformatics and Biomedical Engineering, 2009A new method based on permutation entropy and grey level feature is provided in this paper. Permutation entropy is a new complexity measure for time series based on comparison of neighbouring values. The definition applies to describe the texture feature of image.
Li Yi, Yingle Fan, Qian Cheng
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EEG Signal Discrimination with Permutation Entropy
2021The information analysis of the electroencephalogram (EEG) signal is carried out by granulation and reciprocal entropy (PeEn). The analysis of the EEG signal is obtained by experimental activity. Due to its complexity and multichannel characteristic, together with granular computing (GrC) and PeEn are used to analyze the EEG signal.
Youpeng Yang, Haolan Zhang, Sanghyuk Lee
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Entropy of interval maps via permutations
Nonlinearity, 2002Let \(f:I\rightarrow I\), \(I=[0,1]\), be a piecewise monotone map and let \(P\) be the finite partition of \(I\) into finitely many intervals on which the map \(f\) is strictly monotone and define for any \(n\geq 0\) the partition \(P_n=\vee _{i=0}^{n-1}f^{-i}(p_j)\), \(p_j\in P\).
Bandt, Christoph +2 more
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The equality of Kolmogorov–Sinai entropy and metric permutation entropy generalized
Physica D: Nonlinear Phenomena, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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