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Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 11/2018, Volume 509, pp. 501 - 514
The complexity–entropy causality plane based on permutation entropy is a powerful tool to discriminate signals from different systems. In this paper, we... 
Fault diagnosis | Power spectral entropy | Complexity–entropy causality plane | Classification | DIAGNOSIS | Complexity-entropy causality plane | APPROXIMATE ENTROPY | PHYSICS, MULTIDISCIPLINARY | FAULT-DETECTION | Electrical engineering | Analysis
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 4/2019, Volume 96, Issue 1, pp. 585 - 599
In this paper, we propose the complexity–entropy causality plane based on the generalized fractional entropy. When applying the proposed method into artificial... 
Engineering | Vibration, Dynamical Systems, Control | Complexity–entropy curves | Classical Mechanics | Automotive Engineering | Permutation entropy | Mechanical Engineering | Financial time series | Generalized fractional entropy | SYSTEM | MECHANICS | INFORMATION | Complexity-entropy curves | DYNAMICS | DERIVATIVES | ENGINEERING, MECHANICAL | Analysis | Financial markets
Journal Article
01/2019, ISBN 3039210939
Image analysis is a fundamental task for extracting information from images acquired across a range of different devices. Since reliable quantitative results... 
keyframes | time-delay | whale optimization algorithm | multilevel thresholding | multi-exposure image fusion | additive manufacturing | patch structure decomposition | ultra-sound images | 3D scanning | Arimoto entropy | contrast enhancement | spatial filling factor | depth maps | image processing | 3D prints | differential evolution | field of experts | normalized divergence measure | image privacy | multiscale top-hat transform | q-exponential | texture information entropy | diffusion | hybrid algorithm | Weibull statistics | adaptive selection | nonextensive entropy | computer aided diagnostics | fatty liver | random forest | DNA encoding | low contrast | entropy | Minkowski island | fuzzy entropy | free-form deformations | person re-identification | chaotic system | DNA computing | pavement | information entropy | discrete entropy | Tsallis statistics | video skimming | prime-indexed primes | natural scene statistics (NSS) | Hénon map | q-sigmoid | image entropy | Shannon entropy | macrotexture | Shannon’s entropy | binary image | multi-feature fusion | image analysis | uncertainty assessment | non-rigid registration | hash layer | Cantor set | dynamic filtering | deep neural network | security analysis | multiple-image encryption | Hamming distance | blind image quality assessment (BIQA) | q-Gaussian | remote sensing | decay trend | chaotic cryptography | chaotic strategy | cross-entropy loss | random insertion | metabolic syndrome | sign languages | generalized entropies | relevance feedback | image retrieval | two-dimensional chaotic economic map | cryptanalysis | infrared images | 3D Latin cube | SHA-256 hash value | gradient distributions | structural entropy | discrete cosine transform (DCT) | chaotic map | hepatic steatosis | machine vision | electromagnetic field optimization | security | image segmentation | quantization loss | colonoscopy | video summarization | permutation | Kapur’s entropy | surface quality assessment | permutation-diffusion | Ramanujan primes | Rényi entropies | chosen-plaintext attack | image encryption | dynamic index | color image segmentation | ultrasound | Otsu method | sigmoid | reconstruction | image information entropy | 3-D digital imaging | positron emission tomography | medical imaging
eBook
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 04/2019, Volume 520, pp. 217 - 231
Entropy is an accessible way to work as a measure of the irregularity and the uncertainty between the predicting knowledge and the given time series.... 
Outlier detection | Permutation entropy | Generalized entropy plane | Permuted distribution entropy | APPROXIMATE ENTROPY | PHYSICS, MULTIDISCIPLINARY | CAUSALITY PLANE | Electrical engineering | Data mining | Analysis
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 04/2012, Volume 241, Issue 7, pp. 789 - 793
In a 2005 paper, the author and collaborators proposed an approach to permutation entropy based on symbolic dynamics. This approach allowed us to prove the... 
Discrete-time dynamical systems | Kolmogorov–Sinai entropy | Permutation entropy | MATHEMATICS, APPLIED | Kolmogorov-Sinai entropy | PHYSICS, MULTIDISCIPLINARY | PHYSICS, FLUIDS & PLASMAS | PHYSICS, MATHEMATICAL | Equality | Intervals | Nonlinear dynamics | Permutations | Nonlinear phenomena | Maps | Dynamics | Entropy | Ergodic processes
Journal Article
Entropy, ISSN 1099-4300, 03/2013, Volume 15, Issue 3, pp. 1069 - 1084
Multiscale entropy (MSE) was recently developed to evaluate the complexity of time series over different time scales. Although the MSE algorithm has been... 
Fault diagnosis | Multiscale entropy | Composite multiscale entropy | PERMUTATION ENTROPY | fault diagnosis | PHYSICS, MULTIDISCIPLINARY | multiscale entropy | EEG | COMPLEXITY | DYNAMICS | SIGNALS | composite multiscale entropy
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 09/2012, Volume 241, Issue 18, pp. 1477 - 1481
Since Bandt et al. have shown that the permutation entropy and the Kolmogorov–Sinai entropy coincide for piecewise monotone interval maps, the relationship of... 
Kolmogorov–Sinai entropy | Ordinal patterns | Permutation entropy | Kolmogorov-Sinai entropy | MATHEMATICS, APPLIED | PHYSICS, MULTIDISCIPLINARY | PHYSICS, FLUIDS & PLASMAS | PHYSICS, MATHEMATICAL | Intervals | Permutations | Entropy | Maps | Nonlinear phenomena | Dynamical systems
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 02/2014, Volume 269, pp. 94 - 102
In this paper we investigate a quantity called conditional entropy of ordinal patterns, akin to the permutation entropy. The conditional entropy of ordinal... 
Markov shift | Kolmogorov–Sinai entropy | Permutation entropy | Ordinal pattern | Conditional entropy | Complexity | Kolmogorov-Sinai entropy | MATHEMATICS, APPLIED | PHYSICS, MULTIDISCIPLINARY | TIME-SERIES | VIEWPOINT | PHYSICS, MATHEMATICAL | Permutations | Nonlinear phenomena | Computation | Dynamics | Mathematical analysis | Alphabets | Markov processes | Entropy
Journal Article
IEEE Signal Processing Letters, ISSN 1070-9908, 05/2016, Volume 23, Issue 5, pp. 610 - 614
One of the most powerful tools to assess the dynamical characteristics of time series is entropy. Sample entropy (SE), though powerful, is not fast enough,... 
Chirp | Delay effects | Time series analysis | Bandwidth | Dispersion entropy | signal regularity | Entropy | Reliability | nonlinear dynamics | Dispersion | Dispersion entropy (DE) | PERMUTATION ENTROPY | SIGNAL | COMPLEXITY | IDENTIFICATION | CONTEXT | AGE | ENGINEERING, ELECTRICAL & ELECTRONIC | Time series
Journal Article
The Journal of Chemical Physics, ISSN 0021-9606, 10/2018, Volume 149, Issue 15, p. 154501
We propose a computational method to measure the configurational entropy in generic polydisperse glass-formers. In particular, our method resolves issues... 
STATISTICAL-MECHANICS | GLASS-TRANSITION | THERMODYNAMICS | BINARY-MIXTURE | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | SYSTEMS | MONTE-CARLO METHOD | HARD | GIBBS | FREE-ENERGY | Problems | Permutations | Solid solutions | Polydispersity | Glass | Entropy | Free energy | Physics - Statistical Mechanics | Condensed Matter | Physics | Statistical Mechanics
Journal Article
Physics Letters A, ISSN 0375-9601, 02/2017, Volume 381, Issue 8, pp. 767 - 779
In this paper, recently introduced permutation entropy and sample entropy are further developed to the fractional cases, weighted fractional permutation... 
Potts random price model | Weighted fractional permutation entropy | Fractional calculus | Fractional sample entropy | Nonlinear complexity | SYSTEM | STATES | COMPLEXITY ANALYSIS | PRICE DYNAMICS | PHYSICS, MULTIDISCIPLINARY | BEHAVIOR | MODEL | HEART-RATE-VARIABILITY | FLUCTUATIONS | TIME-SERIES | Stock markets | Analysis | Numerical analysis
Journal Article
Discrete and Continuous Dynamical Systems - Series B, ISSN 1531-3492, 12/2015, Volume 20, Issue 10, pp. 3301 - 3343
This is a review on entropy in various fields of mathematics and scie