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Minimum entropy quantizers and permutation codes

IEEE Transactions on Information Theory, 1982
Amplitude quantization and permutation encoding are two approaches to efficient digitization of analog data. It has been proven that they are equivalent in the sense that their optimum rate versus distortion performances are identical. Reviews of the aforementioned results and of work performed in the interim by several investigators are presented ...
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Metric Permutation Entropy

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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FR-IQA - Permutation Entropy Deviation Index

2019 IEEE Visual Communications and Image Processing (VCIP), 2019
In 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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On generalized bidimensional ensemble permutation entropy

Chaos: An Interdisciplinary Journal of Nonlinear Science
Entropy 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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Partially ordered permutation entropies

The European Physical Journal B, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Multidimensional Permutation Entropy for Constrained Motif Discovery

2019
Constrained motif discovery was proposed as an unsupervised method for efficiently discovering interesting recurrent patterns in time-series. The de-facto standard way to calculate the required constraint on motif occurrence locations is change point discovery.
Yomna Rayan   +2 more
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“Digital” Entropy Induced by Unimodal Cyclic Permutations

Bulletin of the Malaysian Mathematical Sciences Society, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Entropy of Random Permutation Set

Communications in Statistics - Theory and Methods, 2023
Luyuan Chen, Yong Deng
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Early fault diagnosis of rotating machinery based on composite zoom permutation entropy

Reliability Engineering and System Safety, 2023
Chenyang Ma, Yongbo Li, Xianzhi Wang
exaly  

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