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IEEE Transactions on Information Theory, ISSN 0018-9448, 02/2015, Volume 61, Issue 2, pp. 708 - 714
The classical entropy power inequality is extended to the Rényi entropy. We also discuss the question of the existence of the entropy for sums of independent... 
entropy power inequality | Atmospheric measurements | Tin | Particle measurements | Educational institutions | Entropy | Vectors | Random variables | Renyi entropy | CONVERSE | COMPUTER SCIENCE, INFORMATION SYSTEMS | PROOF | YOUNGS-INEQUALITY | ENGINEERING, ELECTRICAL & ELECTRONIC | Random noise theory | Usage | Innovations | Information theory
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 03/2019, Volume 65, Issue 3, pp. 1387 - 1396
Using a sharp version of the reverse Young inequality, and a Rényi entropy comparison result due to Fradelizi, Madiman, and Wang (2016), the authors derive... 
Geometry | Additives | Power measurement | Rényi entropy | Optimized production technology | log-concave | Entropy | Random variables | Information theory | Entropy power inequality | CONVERSE | Terms Entropy power inequality | INFORMATION | COMPUTER SCIENCE, INFORMATION SYSTEMS | MONOTONICITY | SUM | BRUNN-MINKOWSKI | Renyi entropy | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 11/2014, Volume 60, Issue 11, pp. 6801 - 6810
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 01/2018, Volume 64, Issue 1, pp. 4 - 25
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 09/2014, Volume 60, Issue 9, pp. 5065 - 5076
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 12/2016, Volume 62, Issue 12, pp. 6800 - 6815
Journal Article
Information Sciences, ISSN 0020-0255, 2009, Volume 179, Issue 14, pp. 2426 - 2433
In this paper, we define the conditional Rényi entropy and show that the so-called chain rule holds for the Rényi entropy. Then, we introduce a relation for... 
Shannon entropy | Shannon entropy rate | Stationary process | Rényi entropy rate | Rényi entropy | Quasi-linear mean | Renyi entropy rate | INFORMATION | COMPUTER SCIENCE, INFORMATION SYSTEMS | CONVERGENCE | SYSTEMS | DIVERGENCE | FUNCTIONALS | Renyi entropy | Markov processes | Analysis
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 02/2005, Volume 51, Issue 2, pp. 473 - 478
The moment-entropy inequality shows that a continuous random variable with given second moment and maximal Shannon entropy must be Gaussian. Stam's inequality... 
Information measure | Entropy | Moment | Fisher information | Information theory | Renyi entropy | entropy | COMPUTER SCIENCE, INFORMATION SYSTEMS | information theory | information measure | moment | SOBOLEV | ENGINEERING, ELECTRICAL & ELECTRONIC | Research | Theory | Information systems | Gaussian | Random variables | Density | Inequalities
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 08/2013, Volume 66, Issue 2, pp. 135 - 146
The is an important measure which describes the degree of chaoticity of systems. It gives the average rate of information loss about a position of the phase... 
Fractal geometry | Fractal dimension | Rényi entropy | Shannon entropy | Thermodynamic entropy | Fractal physics | Fractal measure | Kolmogorov entropy | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | DIMENSION | Renyi entropy | Chaos theory
Journal Article
Wuli Huaxue Xuebao/ Acta Physico - Chimica Sinica, ISSN 1000-6818, 11/2015, Volume 31, Issue 11, pp. 2057 - 2063
Density functional theory dictates that the electron density determines everything in a molecular system's ground state, including its structure and reactivity... 
Density functional reactivity theory | Shannon entropy | Rényi entropy | Tsallis entropy | Onicescu information energy | QUANTITIES | ELECTROPHILICITY | CHEMISTRY, PHYSICAL | HIRSHFELD CHARGE | AROMATIC-SUBSTITUTION REACTIONS | MOLECULES | FRAGMENTS | THERMODYNAMICS | ATOMS | NUCLEOPHILICITY | SYSTEMS | Renyi entropy
Journal Article
Physics Letters B, ISSN 0370-2693, 10/2015, Volume 749, Issue C, pp. 383 - 388
In the presence of a sharp corner in the boundary of the entanglement region, the entanglement entropy (EE) and Rényi entropies for 3d CFTs have a logarithmic... 
Entanglement entropy | 3-Dimensional field theory | Renyi entropy | PHYSICS, NUCLEAR | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory | Nuclear and High Energy Physics | High Energy Physics - Theory | Physics
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 05/2018, Volume 498, pp. 74 - 85
One of the most useful tools for distinguishing between chaotic and stochastic time series is the so-called complexity–entropy causality plane. This diagram... 
Ordinal patterns probabilities | Rényi entropy | Complexity measures | Time series | STATISTICAL MEASURE | PHYSICS, MULTIDISCIPLINARY | INFORMATION | DIVERGENCE | ORDER PATTERNS | Renyi entropy | CAUSALITY PLANE
Journal Article
Signal Processing, ISSN 0165-1684, 12/2016, Volume 129, pp. 17 - 24
This paper presents two TFD optimization schemes, extending an optimization method so far limited to the spectrogram. The first method is focused on the... 
Quadratic time–frequency distributions | Rényi entropy | S-method | Optimization | Quadratic time-frequency distributions | REPRESENTATION | Renyi entropy | ENGINEERING, ELECTRICAL & ELECTRONIC | Electrical engineering | Electric properties | Kernels | Signal processing | Entropy (Information theory) (Information) | Criteria | Spectrograms
Journal Article
Entropy, ISSN 1099-4300, 06/2019, Volume 21, Issue 6
The well-known Holder's inequality has been recently utilized as an essential tool for solving several optimization problems. However, such an essential role... 
Rényi-Tsallis entropy | Hölder's inequality | Generalized entropy | Optimization | DISTRIBUTIONS | Renyi-Tsallis entropy | MAXIMUM-ENTROPY | LAW | PHYSICS, MULTIDISCIPLINARY | optimization | Holder's inequality | PRINCIPLE | generalized entropy
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 03/2016, Volume 62, Issue 3, pp. 1193 - 1205
Journal Article
International Journal of Modern Physics D, ISSN 0218-2718, 09/2017, Volume 26, Issue 10, p. 1750105
The Rényi entropy is a mathematical generalization of the concept of entropy and it encodes the total information of a system as a function of its order... 
Bekenstein bound | quantum particle gases | Rényi entropy | holographic theories | black holes | entropic bounds | mechanical statistics | Quantum gravity | ASTRONOMY & ASTROPHYSICS | Renyi entropy | Particle spin | Order parameters | Entropy
Journal Article
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