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Advances in Mathematics, ISSN 0001-8708, 10/2018, Volume 337, pp. 139 - 170
Inspired by Edward Witten's questions, we compute the mutual information associated with free fermions, and we deduce many results about entropies for chiral... 
CFT | Relative entropy | MATHEMATICS | STATES | NETS | CONFORMAL FIELD-THEORY | REPRESENTATIONS | SUBFACTORS | OPERATOR-ALGEBRAS
Journal Article
Journal of Statistical Physics, ISSN 0022-4715, 4/2014, Volume 155, Issue 1, pp. 93 - 105
Journal Article
Asian-European Journal of Mathematics, ISSN 1793-5571, 06/2018
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 03/2015, Volume 61, Issue 3, pp. 1458 - 1473
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 12/2013, Volume 54, Issue 12, p. 122203
htmlabstractThe Rényi entropies constitute a family of information measures that generalizes the well-known Shannon entropy, inheriting many of its properties.... 
LIEB | INEQUALITIES | RELATIVE ENTROPIES | PHYSICS, MATHEMATICAL | Data processing | Properties (attributes) | Entropy | Entropy (Information theory) | Information theory | Cases (containers) | DATA PROCESSING | INFORMATION THEORY | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ENTROPY
Journal Article
Information Sciences, ISSN 0020-0255, 03/2014, Volume 260, pp. 74 - 97
Pattern recognition is a collection of computer techniques to classify various observations into different clusters of similar attributes in either supervised... 
Relative entropy fuzzy c-means clustering | Fuzzy clustering | Relative entropy | Fuzzy c-means | BANKRUPTCY | ALGORITHM | COMPUTER SCIENCE, INFORMATION SYSTEMS | NOISE | VALIDITY | LAMBERT-W-FUNCTION
Journal Article
Statistical Science, ISSN 0883-4237, 2/2015, Volume 30, Issue 1, pp. 40 - 58
This article provides a completion to theories of information based on entropy, resolving a longstanding question in its axiomatization as proposed by Shannon... 
Differential and relative entropy/extropy | Bregman divergence | Duality | Gini index of heterogeneity | Kullback-Leibler divergence | Repeat rate | Proper scoring rules | proper scoring rules | PROBABILITY | INFORMATION | STATISTICS & PROBABILITY | repeat rate | duality | Kullback–Leibler divergence
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 11/2018, Volume 51, Issue 48, p. 484001
The existence of a positive log-Sobolev constant implies a bound on the mixing time of a quantum dissipative evolution under the Markov approximation. For... 
log-Sobolev inequality | conditional relative entropy | quasi-factorization of the relative entropy | quantum relative entropy | mixing time | quantum dissipative evolution | STATES | INEQUALITIES | MARKOV-CHAINS | PHYSICS, MULTIDISCIPLINARY | MONOTONICITY | STRONG SUBADDITIVITY | PHYSICS, MATHEMATICAL | MUTUAL INFORMATION | RECOVERY MAPS
Journal Article
Reviews in Mathematical Physics, ISSN 0129-055X, 08/2019, Volume 31, Issue 7, p. 1950022
We consider a quantum quasi-relative entropy S f K for an operator K and an operator convex function f . We show how to obtain the error bounds for the... 
quasi-entropy | STATES | INEQUALITIES | CONVEXITY | INFORMATION | Cauchy-Schwartz inequality | PROOF | Entropy | Wigner-Yanase-Dyson information | PHYSICS, MATHEMATICAL | TRACE FUNCTIONS | relative entropy | data processing inequality | strong subadditivity
Journal Article
Pattern Recognition Letters, ISSN 0167-8655, 07/2019, Volume 125, pp. 677 - 683
By virtue of their simplicity and efficiency, hashing algorithms have achieved significant success on large-scale approximate nearest neighbor search.... 
Hashing | Image retrieval | Symmetric relative entropy | IMAGE | CODES | QUANTIZATION | RETRIEVAL | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Computer science | International marketing | Algorithms | Neural networks
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 03/2018, Volume 51, Issue 15, p. 154003
Many quantum information measures can be written as an optimization of the quantum relative entropy between sets of states. For example, the relative entropy... 
von Neumann entropy | convex optimization | entanglement measures | quantum capacity | quantum conditional mutual information | quantum relative entropy | CAPACITY | CHANNEL | PHYSICS, MULTIDISCIPLINARY | CONDITIONAL MUTUAL INFORMATION | PHYSICS, MATHEMATICAL | Quantum Physics | Physics
Journal Article
SIAM Journal on Mathematical Analysis, ISSN 0036-1410, 2013, Volume 45, Issue 3, pp. 1563 - 1584
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 10/2015, Volume 259, Issue 7, pp. 3004 - 3031
In this paper, we introduce the notions of topological conditional entropy and fiber entropy for a given factor map between two amenable group actions, and... 
Distal system | Amenable group actions | Conditional entropy | Fiber entropy | Variational principle | Secondary | Primary | EXTENSIONS | SPACES | MATHEMATICS | RELATIVE ENTROPY | CHAOS | INDEPENDENCE | DYNAMICAL-SYSTEMS | LOCAL VARIATIONAL PRINCIPLE | ASYMPTOTIC PAIRS | TOPOLOGICAL-ENTROPY | TRANSFORMATIONS
Journal Article
Acta Astronautica, ISSN 0094-5765, 03/2018, Volume 144, pp. 271 - 282
Gaussian approximation filters have increasingly been developed to enhance the accuracy of attitude estimation in space missions. The effective employment of... 
Cubature Kalman filter | Attitude estimation | Relative entropy | Confidence level | Innovation-based adaptive estimation | SIZE | ALGORITHMS | ENGINEERING, AEROSPACE | KALMAN FILTER
Journal Article