## Entropy

 Short Title: Entropy Publisher: Multidisciplinary Digital Publishing Institute (MDPI), Basel ISSN: 1099-4300/e Online: http://www.mdpi.com/journal/entropy Comments: No longer indexed; Published electronic only as of Vol. 1 (1999). This journal is available open access.
 Documents Indexed: 685 Publications (1999–2015) References Indexed: 600 Publications with 23,215 References.
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### Latest Issues

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### Authors

 9 Plastino, Angelo 6 Príncipe, José Carlos 5 Chen, Badong 5 Eguchi, Shinto 4 Abbod, Maysam F. 4 Amari, Shun-ichi 4 Ay, Nihat 4 Casas, Montserrat 4 Dehmer, Matthias 4 Feidt, Michel 4 Ferri, Gustavo L. 4 Gzyl, Henryk 4 Hidouri, Nejib 4 Iñiguez, José C. 4 Isaacson, LaVar King 4 Magherbi, Mourad 4 Makinde, Oluwole Daniel 4 Mittelhammer, Ron C. 4 Naudts, Jan 4 Pennini, Flavia 4 Pistone, Giovanni 4 Sang, Yan-Fang 4 Shieh, Jiann-Shing 3 Bellucci, Stefano 3 Ben Brahim, Ammar 3 Bouabid, Mounir 3 Broadbridge, Philip 3 Cichocki, Andrzej 3 Dai, Bin 3 de Grange, Louis 3 Hou, Guolian 3 Ibrahim, Rabha Waell 3 Judge, George G. 3 Juretić, Davor 3 Komori, Osamu 3 Kowalski, Andres M. 3 Kuić, Domagoj 3 Liu, Quan 3 Luo, Yuan 3 Marsh, Thomas L. 3 Müller, Ingo 3 Ohara, Atsumi 3 Olivares, Felipe 3 Quarati, Piero 3 Ren, Mifeng 3 Scarfone, Antonio Maria 3 Schlatter, Andreas E. 3 Schulman, Lawrence S. 3 Shalyt-Margolin, Alexander E. 3 Wada, Tatsuaki 3 Wei, Qin 3 Wu, Jichun 3 Zhang, Jianhua 3 Zhou, Xiaobing 3 Županović, Paško 2 Abdullah, Shahrir 2 Al-Nimr, Mohammad Ahmad 2 Amigó, José María 2 Arnaud, Jacques 2 Baeten, Maarten 2 Balaji, Bhashyam 2 Băleanu, Dumitru I. 2 Balian, Roger 2 Barranco-Jiménez, Marco A. 2 Beretta, Gian Paolo 2 Berthoumieu, Yannick 2 Brevik, Iver Håkon 2 Bulut, Hasan 2 Burgin, Mark 2 Cafaro, Carlo 2 Cai, Xiaomei 2 Cardell, Nicholas Scott 2 Cerra, Daniele 2 Chan, Terence H. 2 Chen, Borsen 2 Chen, Zengqiang 2 Cho, Youngseuk 2 Chusseau, Laurent 2 Crompton, Peter R. 2 Datcu, Mihai 2 Dedeo, Simon 2 Descombes, Georges 2 Dodig-Crnkovic, Gordana 2 Dong, Yuxiang 2 Donoso, Pedro 2 El-Bakkali, Amin 2 Essex, Christopher 2 Fan, Shou-Zen 2 Faugeras, Olivier D. 2 Favretti, Marco 2 Feixas, Miquel 2 Flego, Silvana 2 Fontana, Nicola 2 Giménez, Angel 2 Golan, Amos 2 González, Felipe A. 2 Gorban, Alexander N. 2 Gough, Michael Paul 2 Grmela, Miroslav 2 Grøn, Øyvind Geelmuyden ...and 1,163 more Authors
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### Fields

 236 Information and communication theory, circuits (94-XX) 157 Statistics (62-XX) 101 Statistical mechanics, structure of matter (82-XX) 92 Classical thermodynamics, heat transfer (80-XX) 90 Quantum theory (81-XX) 65 Relativity and gravitational theory (83-XX) 54 Biology and other natural sciences (92-XX) 49 Dynamical systems and ergodic theory (37-XX) 43 Fluid mechanics (76-XX) 40 Computer science (68-XX) 40 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 37 Probability theory and stochastic processes (60-XX) 22 Systems theory; control (93-XX) 21 Partial differential equations (35-XX) 21 Astronomy and astrophysics (85-XX) 21 Operations research, mathematical programming (90-XX) 15 Differential geometry (53-XX) 14 Numerical analysis (65-XX) 13 Ordinary differential equations (34-XX) 13 Mechanics of deformable solids (74-XX) 13 Geophysics (86-XX) 8 Optics, electromagnetic theory (78-XX) 7 General and overarching topics; collections (00-XX) 7 Real functions (26-XX) 7 Special functions (33-XX) 6 Mathematical logic and foundations (03-XX) 6 Combinatorics (05-XX) 5 General topology (54-XX) 4 Measure and integration (28-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX)

### Citations contained in zbMATH Open

458 Publications have been cited 2,453 times in 2,041 Documents Cited by Year
Analysis of the Keller-Segel model with a fractional derivative without singular kernel. Zbl 1338.35458
2015
New results on fractional power series: theories and applications. Zbl 1337.26010
2013
Families of alpha-, beta- and gamma-divergences: flexible and robust measures of similarities. Zbl 1229.94030
Cichocki, Andrzej; Amari, Shun-Ichi
2010
On analytical solutions of the fractional differential equation with uncertainty: application to the Basset problem. Zbl 1338.34025
Salahshour, Soheil; Ahmadian, Ali; Senu, Norazak; Baleanu, Dumitru; Agarwal, Praveen
2015
Axiomatic characterizations of information measures. Zbl 1179.94043
Csiszár, Imre
2008
Permutation entropy and its main biomedical and econophysics applications: a review. Zbl 1314.94033
Zanin, Massimiliano; Zunino, Luciano; Rosso, Osvaldo A.; Papo, David
2012
Modeling of a mass-spring-damper system by fractional derivatives with and without a singular kernel. Zbl 1338.70026
Gómez-Aguilar, José Francisco; Yépez-Martínez, Huitzilin; Calderón-Ramón, Celia; Cruz-Orduña, Ines; Escobar-Jiménez, Ricardo Fabricio; Olivares-Peregrino, Victor Hugo
2015
Quantum thermodynamics: a dynamical viewpoint. Zbl 1297.81122
Kosloff, Ronnie
2013
Generalised exponential families and associated entropy functions. Zbl 1179.94048
Naudts, Jan
2008
Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories. Zbl 1297.83018
De La Cruz-Dombriz, Alvaro; Sáez-Gómez, Diego
2012
Quantum entanglement concentration based on nonlinear optics for quantum communications. Zbl 1297.81039
Sheng, Yu-Bo; Zhou, Lan
2013
Geometry of $$q$$-exponential family of probability distributions. Zbl 1306.62073
Amari, Shun-Ichi; Ohara, Atsumi
2011
State operator correspondence and entanglement in $$\mathrm{ADS}_2/\mathrm{CFT}_1$$. Zbl 1296.83046
Sen, Ashoke
2011
Entropy principle and recent results in non-equilibrium theories. Zbl 1338.82034
Cimmelli, Vito Antonio; Jou, David; Ruggeri, Tommaso; Ván, Péter
2014
Statistical manifolds with almost quaternionic structures and quaternionic Kähler-like statistical submersions. Zbl 1338.53056
Vîlcu, Alina-Daniela; Vîlcu, Gabriel-Eduard
2015
Evidence and credibility: Full Bayesian signifiance test for precise hypotheses. Zbl 0993.62028
Pereira, Carlos Alberto de Bragança; Stern, Julio Michael
1999
Synchronization of a class of fractional-order chaotic neural networks. Zbl 1339.34060
Chen, Liping; Qu, Jianfeng; Chai, Yi; Wu, Ranchao; Qi, Guoyuan
2013
Applications of entropy in finance: a review. Zbl 1422.91673
Zhou, Rongxi; Cai, Ru; Tong, Guanqun
2013
Effective conformal descriptions of black hole entropy. Zbl 1296.83034
Carlip, Steven
2011
Time series analysis using composite multiscale entropy. Zbl 1298.65020
Wu, Shuen-De; Wu, Chiu-Wen; Lin, Shiou-Gwo; Wang, Chun-Chieh; Lee, Kung-Yen
2013
$$stu$$ black holes unveiled. Zbl 1179.83049
Bellucci, Stefano; Ferrara, Sergio; Marrani, Alessio; Yeranyan, Armen
2008
The nonadditive entropy $$S_q$$ and its applications in physics and elsewhere: some remarks. Zbl 1301.82004
Tsallis, Constantino
2011
A note on distance-based graph entropies. Zbl 1412.94134
Chen, Zengqiang; Dehmer, Matthias; Shi, Yongtang
2014
Towards realising secure and efficient image and video processing applications on quantum computers. Zbl 1337.81036
Iliyasu, Abdullah M.
2013
Theoretical foundations and mathematical formalism of the power-law tailed statistical distributions. Zbl 06578392
2013
Entropy: the Markov ordering approach. Zbl 1229.60085
Gorban, Alexander N.; Gorban, Pavel A.; Judge, George
2010
A characterization of entropy in terms of information loss. Zbl 1301.94043
Baez, John C.; Fritz, Tobias; Leinster, Tom
2011
Tsallis relative entropy and anomalous diffusion. Zbl 1331.82006
Prehl, Janett; Essex, Christopher; Hoffmann, Karl Heinz
2012
Maximum entropy fundamentals. Zbl 1006.94007
Harremoeës, P.; Topsøe, F.
2001
Entanglement entropy of AdS black holes. Zbl 1229.83045
2010
Interval entropy and informative distance. Zbl 1306.62214
Misagh, Fakhroddin; Yari, Gholamhossein
2012
From $$f$$-divergence to quantum quasi-entropies and their use. Zbl 1229.81054
Petz, Dénes
2010
Kullback-Leibler divergence measure for multivariate skew-normal distributions. Zbl 1306.62040
Contreras-Reyes, Javier E.; Arellano-Valle, Reinaldo B.
2012
The relation between Granger causality and directed information theory: a review. Zbl 06346067
Amblard, Pierre-Olivier; Michel, Olivier J. J.
2013
Deformed exponentials and applications to finance. Zbl 1422.91725
Trivellato, Barbara
2013
Multivariate multi-scale permutation entropy for complexity analysis of Alzheimer’s disease EEG. Zbl 1314.92042
Morabito, Francesco Carlo; Labate, Domenico; La Foresta, Fabio; Bramanti, Alessia; Morabito, Giuseppe; Palamara, Isabella
2012
Shannon’s sampling theorem for bandlimited signals and their Hilbert transform, Boas-type formulae for higher order derivatives – the aliasing error involved by their extensions from bandlimited to non-bandlimited signals. Zbl 1314.94034
Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L.
2012
Existence of Ulam stability for iterative fractional differential equations based on fractional entropy. Zbl 1338.34016
Ibrahim, Rabha W.; Jalab, Hamid A.
2015
Bell-Boole inequality: nonlocality or probabilistic incompatibility of random variables? Zbl 1179.94047
Khrennikov, Andrei
2008
Black hole entropy in scalar-tensor and $$f(R)$$ gravity: an overview. Zbl 1229.83048
Faraoni, Valerio
2010
Using quantum computers for quantum simulation. Zbl 1229.81062
Brown, Katherine L.; Munro, William J.; Kendon, Vivien M.
2010
Projective power entropy and maximum Tsallis entropy distributions. Zbl 1301.82002
Eguchi, Shinto; Komori, Osamu; Kato, Shogo
2011
Entropy and the complexity of graphs revisited. Zbl 1331.94041
Mowshowitz, Abbe; Dehmer, Matthias
2012
Koszul information geometry and Souriau geometric temperature/capacity of Lie group thermodynamics. Zbl 1338.94028
Barbaresco, Frédéric
2014
On the linear combination of exponential and gamma random variables. Zbl 1135.62307
2005
Parametric Bayesian estimation of differential entropy and relative entropy. Zbl 1229.62030
Gupta, Maya; Srivastava, Santosh
2010
Classes of $$N$$-dimensional nonlinear Fokker-Planck equations associated to Tsallis entropy. Zbl 1297.35242
Ribeiro, Mauricio S.; Nobre, Fernando D.; Curado, Evaldo M. F.
2011
On the measure entropy of additive cellular automata $$f_\infty$$. Zbl 1062.37005
Akın, Hasan
2003
Objective Bayesianism and the maximum entropy principle. Zbl 1335.62008
Landes, Jürgen; Williamson, Jon
2013
All in action. Zbl 1229.82006
Annila, Arto
2010
A philosophical treatise of universal induction. Zbl 1296.03007
Rathmanner, Samuel; Hutter, Marcus
2011
Second law analysis for variable viscosity hydromagnetic boundary layer flow with thermal radiation and Newtonian heating. Zbl 1446.76181
Makinde, Oluwole Daniel
2011
Reliability of inference of directed climate networks using conditional mutual information. Zbl 1296.62218
Hlinka, Jaroslav; Hartman, David; Vejmelka, Martin; Runge, Jakob; Marwan, Norbert; Kurths, Jürgen; Paluš, Milan
2013
Log-determinant divergences revisited: alpha-beta and gamma log-det divergences. Zbl 1338.94034
Cichocki, Andrzej; Cruces, Sergio; Amari, Shun-ichi
2015
Unconditionally secure quantum signatures. Zbl 1338.81158
2015
Approximate analytical solutions of time fractional Whitham-Broer-Kaup equations by a residual power series method. Zbl 1338.35091
Wang, Linjun; Chen, Xumei
2015
On the entropy of a two step random Fibonacci substitution. Zbl 1357.68154
Nilsson, Johan
2013
Dynamics of instantaneous condensation in the ZRP conditioned on an atypical current. Zbl 1342.82095
Harris, Rosemary J.; Popkov, Vladislav; Schütz, Gunter M.
2013
Nonparametric information geometry: from divergence function to referential-representational biduality on statistical manifolds. Zbl 1338.53062
Zhang, Jun
2013
Basic concepts, identities and inequalities – the toolkit of information theory. Zbl 1006.94012
Topsøe, F.
2001
Entropy and divergence associated with power function and the statistical application. Zbl 1229.82010
Eguchi, Shinto; Kato, Shogo
2010
Entropy-related extremum principles for model reduction of dissipative dynamical systems. Zbl 1229.37019
Lebiedz, Dirk
2010
Engineering model reduction and entropy-based Lyapunov functions in chemical reaction kinetics. Zbl 1229.80021
Hangos, Katalin M.
2010
Eigenvalue and entropy statistics for products of conjugate random quantum channels. Zbl 1229.81044
Collins, Benoît; Nechita, Ion
2010
Mean-variance-skewness-entropy measures: a multi-objective approach for portfolio selection. Zbl 1229.90287
Usta, Ilhan; Kantar, Yeliz Mert
2011
The entropy of progressively censored samples. Zbl 1229.62134
Abo-Eleneen, Z. A.
2011
The Michaelis-Menten-Stueckelberg theorem. Zbl 1303.92152
2011
Thermodynamics of thermoelectric phenomena and applications. Zbl 1307.80004
Goupil, Christophe; Seifert, Wolfgang; Zabrocki, Knud; Müller, Eckhart; Snyder, G. Jeffrey
2011
Cosmology of $$F(T)$$ gravity and k-essence. Zbl 1297.83056
Myrzakulov, Ratbay
2012
Quantum theory, namely the pure and reversible theory of information. Zbl 1296.81017
Chiribella, Giulio; D’Ariano, Giacomo Mauro; Perinotti, Paolo
2012
Thermal BEC black holes. Zbl 1338.83101
Casadio, Roberto; Giugno, Andrea; Micu, Octavian; Orlandi, Alessio
2015
Information-geometric Markov chain Monte Carlo methods using diffusions. Zbl 1338.65018
Livingstone, Samuel; Girolami, Mark
2014
Simulation study of direct causality measures in multivariate time series. Zbl 1336.62153
Papana, Angeliki; Kyrtsou, Catherine; Kugiumtzis, Dimitris; Diks, Cees
2013
Examples of the application of nonparametric information geometry to statistical physics. Zbl 1346.35144
Pistone, Giovanni
2013
The meanings of entropy. Zbl 1135.94313
Brissaud, Jean-Bernard
2005
On Darcy-Brinkman equation: viscous flow between two parallel plates packed with regular square arrays of cylinders. Zbl 1135.76312
Liu, Haidong; Patil, Prabhamani R.; Narusawa, Uichiro
2007
The role of Hellinger processes in mathematical finance. Zbl 1015.91030
Choulli, T.; Hurd, T. R.
2001
A weighted generalized maximum entropy estimator with a data-driven weight. Zbl 1179.91209
Wu, Ximing
2009
Sub-quantum thermodynamics as a basis of emergent quantum mechanics. Zbl 1229.82133
Grössing, Gerhard
2010
On the microscopic perspective of black branes thermodynamic geometry. Zbl 1229.83043
Bellucci, Stefano; Tiwari, Bhupendra Nath
2010
Distances in probability space and the statistical complexity setup. Zbl 1306.62041
Kowalski, Andres M.; Martín, Maria Teresa; Plastino, Angelo; Rosso, Osvaldo A.; Casas, Montserrat
2011
Tsallis-based nonextensive analysis of the southern California seismicity. Zbl 1302.86014
Telesca, Luciano
2011
Entropic forms and related algebras. Zbl 1305.82011
Scarfone, Antonio Maria
2013
Entropy and entropy production: old misconceptions and new breakthroughs. Zbl 1305.80001
Martyushev, Leonid M.
2013
An entropy-based weighted concept lattice for merging multi-source geo-ontologies. Zbl 1325.94052
Li, Junli; He, Zongyi; Zhu, Qiaoli
2013
Information geometry on complexity and stochastic interaction. Zbl 1338.94032
Ay, Nihat
2015
Entropy of weighted graphs with Randić weights. Zbl 1338.05266
Chen, Zengqiang; Dehmer, Matthias; Emmert-Streib, Frank; Shi, Yongtang
2015
Scale-invariant rotating black holes in quadratic gravity. Zbl 1338.83104
Cognola, Guido; Rinaldi, Massimiliano; Vanzo, Luciano
2015
The entropy-based quantum metric. Zbl 1338.81096
Balian, Roger
2014
Efficiently measuring complexity on the basis of real-world data. Zbl 1359.62387
Unakafova, Valentina A.; Keller, Karsten
2013
Deformed density matrix and quantum entropy of the black hole. Zbl 1135.83311
Shalyt-Margolin, A. E.
2006
Additive cellular automata and volume growth. Zbl 0999.68130
Ward, Thomas B.
2000
Estimating the entropy of binary time series: methodology, some theory and a simulation study. Zbl 1179.94045
Gao, Yun; Kontoyiannis, Ioannis; Bienenstock, Elie
2008
Entropy and energy, - a universal competition. Zbl 1179.80008
Müller, Ingo
2008
Properties of the statistical complexity functional and partially deterministic HMMs. Zbl 1179.82099
Löhr, Wolfgang
2009
Static isolated horizons: $$SU(2)$$ invariant phase space, quantization, and black hole entropy. Zbl 1229.83053
Perez, Alejandro; Pranzetti, Daniele
2011
Adaptive computation of multiscale entropy and its application in EEG signals for monitoring depth of anesthesia during surgery. Zbl 1303.92045
Liu, Quan; Wei, Qin; Fan, Shou-Zen; Lu, Cheng-Wei; Lin, Tzu-Yu; Abbod, Maysam F.; Shieh, Jiann-Shing
2012
A free energy principle for biological systems. Zbl 1319.92015
Friston, Karl
2012
Periodic cosmological evolutions of equation of state for dark energy. Zbl 1297.83045
Bamba, Kazuharu; Debnath, Ujjal; Yesmakhanova, Kuralay; Tsyba, Petr; Nugmanova, Gulgasyl; Myrzakulov, Ratbay
2012
Outer synchronization between fractional-order complex networks: a non-fragile observer-based control scheme. Zbl 1297.93126
Zhao, Meichun; Wang, Junwei
2013
Analysis of the Keller-Segel model with a fractional derivative without singular kernel. Zbl 1338.35458
2015
On analytical solutions of the fractional differential equation with uncertainty: application to the Basset problem. Zbl 1338.34025
Salahshour, Soheil; Ahmadian, Ali; Senu, Norazak; Baleanu, Dumitru; Agarwal, Praveen
2015
Modeling of a mass-spring-damper system by fractional derivatives with and without a singular kernel. Zbl 1338.70026
Gómez-Aguilar, José Francisco; Yépez-Martínez, Huitzilin; Calderón-Ramón, Celia; Cruz-Orduña, Ines; Escobar-Jiménez, Ricardo Fabricio; Olivares-Peregrino, Victor Hugo
2015
Statistical manifolds with almost quaternionic structures and quaternionic Kähler-like statistical submersions. Zbl 1338.53056
Vîlcu, Alina-Daniela; Vîlcu, Gabriel-Eduard
2015
Existence of Ulam stability for iterative fractional differential equations based on fractional entropy. Zbl 1338.34016
Ibrahim, Rabha W.; Jalab, Hamid A.
2015
Log-determinant divergences revisited: alpha-beta and gamma log-det divergences. Zbl 1338.94034
Cichocki, Andrzej; Cruces, Sergio; Amari, Shun-ichi
2015
Unconditionally secure quantum signatures. Zbl 1338.81158
2015
Approximate analytical solutions of time fractional Whitham-Broer-Kaup equations by a residual power series method. Zbl 1338.35091
Wang, Linjun; Chen, Xumei
2015
Thermal BEC black holes. Zbl 1338.83101
Casadio, Roberto; Giugno, Andrea; Micu, Octavian; Orlandi, Alessio
2015
Information geometry on complexity and stochastic interaction. Zbl 1338.94032
Ay, Nihat
2015
Entropy of weighted graphs with Randić weights. Zbl 1338.05266
Chen, Zengqiang; Dehmer, Matthias; Emmert-Streib, Frank; Shi, Yongtang
2015
Scale-invariant rotating black holes in quadratic gravity. Zbl 1338.83104
Cognola, Guido; Rinaldi, Massimiliano; Vanzo, Luciano
2015
Information geometry formalism for the spatially homogeneous Boltzmann equation. Zbl 1338.94044
Lods, Bertrand; Pistone, Giovanni
2015
Distributing secret keys with quantum continuous variables: principle, security and implementations. Zbl 1338.81160
Diamanti, Eleni; Leverrier, Anthony
2015
The Hosoya entropy of a graph. Zbl 1338.05267
Mowshowitz, Abbe; Dehmer, Matthias
2015
Natural gradient flow in the mixture geometry of a discrete exponential family. Zbl 1338.94030
Malagò, Luigi; Pistone, Giovanni
2015
On the exact solution of wave equations on Cantor sets. Zbl 1338.35459
Baleanu, Dumitru; Khan, Hasib; Jafari, Hossien; Khan, Rahmat Ali
2015
A foundational approach to generalising the maximum entropy inference process to the multi-agent context. Zbl 1338.62026
Wilmers, George
2015
Entropies from coarse-graining: convex polytopes vs. ellipsoids. Zbl 1338.94041
Kalogeropoulos, Nikos
2015
Geometry of multiscale nonequilibrium thermodynamcis. Zbl 1338.80005
Grmela, Miroslav
2015
Dualistic Hessian structures among the thermodynamic potentials in the $$\kappa$$-thermostatistics. Zbl 1338.80006
Wada, Tatsuaki; Matsuzoe, Hiroshi; Scarfone, Antonio M.
2015
Black-box optimization using geodesics in statistical manifolds. Zbl 1338.94029
2015
Robust $$H_\infty$$ finite-time control for discrete Markovian jump systems with disturbances of probabilistic distributions. Zbl 1338.93340
Chen, Haiyang; Liu, Meiqin; Zhang, Senlin
2015
Proportionate minimum error entropy algorithm for sparse system identification. Zbl 1338.94049
Wu, Zongze; Peng, Siyuan; Chen, Badong; Zhao, Haiquan; Principe, Jose C.
2015
Generalized boundary conditions for the time-fractional advection diffusion equation. Zbl 1338.35476
Povstenko, Yuriy
2015
New hyperbolic function solutions for some nonlinear partial differential equation arising in mathematical physics. Zbl 1338.35089
2015
New exact solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation. Zbl 1338.35090
Tuluce Demiray, Seyma; Bulut, Hasan
2015
Conformal gauge transformations in thermodynamics. Zbl 1338.80004
Bravetti, Alessandro; Lopez-Monsalvo, Cesar S.; Nettel, Francisco
2015
Thermodynamic metrics and black hole physics. Zbl 1338.83092
Åman, Jan E.; Bengtsson, Ingemar; Pidokrajt, Narit
2015
Do transitive preferences always result in indifferent divisions? Zbl 1338.91069
Makowski, Marcin; Piotrowski, Edward W.; Sładkowski, Jan
2015
Ricci curvature, isoperimetry and a non-additive entropy. Zbl 1338.94042
Kalogeropoulos, Nikos
2015
Deformed algebras and generalizations of independence on deformed exponential families. Zbl 1338.94045
2015
Exact solutions of non-linear lattice equations by an improved exp-function method. Zbl 1338.35092
Zhang, Sheng; Li, Jiahong; Zhou, Yingying
2015
Generalized stochastic Fokker-Planck equations. Zbl 1338.60154
Chavanis, Pierre-Henri
2015
Metrics and energy landscapes in irreversible thermodynamics. Zbl 1338.80003
Andresen, Bjarne
2015
Properties of nonnegative Hermitian matrices and new entropic inequalities for noncomposite quantum systems. Zbl 1338.81068
Man&rsquo;ko, Margarita A.; Man&rsquo;ko, Vladimir I.
2015
Non-abelian topological approach to non-locality of a hypergraph state. Zbl 1338.94033
Berec, Vesna
2015
Entropy approximation in lossy source coding problem. Zbl 1338.94053
Śmieja, Marek; Tabor, Jacek
2015
On the $$\kappa$$-deformed cyclic functions and the generalized Fourier series in the framework of the $$\kappa$$-algebra. Zbl 1338.43004
Scarfone, Antonio Maria
2015
Brownian motion in Minkowski space. Zbl 1338.60204
O&rsquo;Hara, Paul; Rondoni, Lamberto
2015
Tail risk constraints and maximum entropy. Zbl 1338.62023
Geman, Donald; Geman, Hélyette; Taleb, Nassim Nicholas
2015
A penalized likelihood approach to parameter estimation with integral reliability constraints. Zbl 1338.62067
Smith, Barry; Wang, Steven; Wong, Augustine; Zhou, Xiaofeng
2015
Generalised complex geometry in thermodynamical fluctuation theory. Zbl 1338.53111
Fernández de Córdoba, P.; Isidro, J. M.
2015
A Bayesian decision-theoretic approach to logically-consistent hypothesis testing. Zbl 1338.62029
da Silva, Gustavo Miranda; Esteves, Luis Gustavo; Fossaluza, Victor; Izbicki, Rafael; Wechsler, Sergio
2015
Bayesian inference on the memory parameter for gamma-modulated regression models. Zbl 1343.62049
2015
Entropy principle and recent results in non-equilibrium theories. Zbl 1338.82034
Cimmelli, Vito Antonio; Jou, David; Ruggeri, Tommaso; Ván, Péter
2014
A note on distance-based graph entropies. Zbl 1412.94134
Chen, Zengqiang; Dehmer, Matthias; Shi, Yongtang
2014
Koszul information geometry and Souriau geometric temperature/capacity of Lie group thermodynamics. Zbl 1338.94028
Barbaresco, Frédéric
2014
Information-geometric Markov chain Monte Carlo methods using diffusions. Zbl 1338.65018
Livingstone, Samuel; Girolami, Mark
2014
The entropy-based quantum metric. Zbl 1338.81096
Balian, Roger
2014
Information anatomy of stochastic equilibria. Zbl 1338.60209
Marzen, Sarah; Crutchfield, James P.
2014
On the connections of generalized entropies with Shannon and Kolmogorov-Sinai entropies. Zbl 1338.94036
Falniowski, Fryderyk
2014
Combinatorial optimization with information geometry: the Newton method. Zbl 1338.90348
Malagò, Luigi; Pistone, Giovanni
2014
The information geometry of Bregman divergences and some applications in multi-expert reasoning. Zbl 1338.94031
2014
Information geometric complexity of a trivariate Gaussian statistical model. Zbl 1338.62022
Felice, Domenico; Cafaro, Carlo; Mancini, Stefano
2014
Density reconstructions with errors in the data. Zbl 1338.62104
Gomes-Gonçalves, Erika; Gzyl, Henryk; Mayoral, Silvia
2014
Chaos control and synchronization of a hyperchaotic zhou system by integral sliding mode control. Zbl 1338.34114
Toopchi, Yashar; Wang, Jidong
2014
Existence of entropy solutions for nonsymmetric fractional systems. Zbl 1338.35469
Ibrahim, Rabha W.; Jalab, Hamid A.
2014
Generalized maximum entropy analysis of the linear simultaneous equations model. Zbl 1338.62066
Marsh, Thomas L.; Mittelhammer, Ron; Cardell, Nicholas Scott
2014
$$F$$-geometry and Amari’s $$\alpha$$-geometry on a statistical manifold. Zbl 1338.62069
Harsha, K. V.; Subrahamanian Moosath, K. S.
2014
An estimation of the entropy for a Rayleigh distribution based on doubly-generalized type-II hybrid censored samples. Zbl 1341.62279
Cho, Youngseuk; Sun, Hokeun; Lee, Kyeongjun
2014
Markov state models for rare events in molecular dynamics. Zbl 1338.82038
Sarich, Marco; Banisch, Ralf; Hartmann, Carsten; Schütte, Christof
2014
Adaptive switched generalized function projective synchronization between two hyperchaotic systems with unknown parameters. Zbl 1338.34115
Zhou, Xiaobing; Xiong, Lianglin; Cai, Xiaomei
2014
Information-theoretic bounded rationality and $$\epsilon$$-optimality. Zbl 1338.91050
Braun, Daniel A.; Ortega, Pedro A.
2014
New Riemannian priors on the univariate normal model. Zbl 1341.62095
Said, Salem; Bombrun, Lionel; Berthoumieu, Yannick
2014
Entropy evolution and uncertainty estimation with dynamical systems. Zbl 1338.37013
Liang, X. San
2014
Learning functions and approximate Bayesian computation design: ABCD. Zbl 1341.62091
Hainy, Markus; Müller, Werner G.; Wynn, Henry P.
2014
Informational non-differentiable entropy and uncertainty relations in complex systems. Zbl 1338.35446
Agop, Maricel; Gavriluţ, Alina; Crumpei, Gabriel; Doroftei, Bogdan
2014
On the Fisher metric of conditional probability polytopes. Zbl 1338.62070
Montúfar, Guido; Rauh, Johannes; Ay, Nihat
2014
Duality of maximum entropy and minimum divergence. Zbl 1338.62021
Eguchi, Shinto; Komori, Osamu; Ohara, Atsumi
2014
The property of chaotic orbits with lower positions of numerical solutions in the logistic map. Zbl 1338.37048
Liu, Jiahui; Zhang, Hongli; Song, Dahua
2014
Variational Bayes for regime-switching log-normal models. Zbl 1338.62027
Zhao, Hui; Marriott, Paul
2014
A representation of the relative entropy with respect to a diffusion process in terms of its infinitesimal generator. Zbl 1338.94037
Faugeras, Olivier; MacLaurin, James
2014
Topological classification of limit cycles of piecewise smooth dynamical systems and its associated non-standard bifurcations. Zbl 1338.37064
Taborda, John Alexander; Arango, Ivan
2014
Matrix algebraic properties of the Fisher information matrix of stationary processes. Zbl 1338.60108
Klein, André
2014
On clustering histograms with $$k$$-means by using mixed $$\alpha$$-divergences. Zbl 1341.62186
Nielsen, Frank; Nock, Richard; Amari, Shun-ichi
2014
A maximum entropy method for a robust portfolio problem. Zbl 1338.91138
Xu, Yingying; Wu, Zhuwu; Jiang, Long; Song, Xuefeng
2014
New results on fractional power series: theories and applications. Zbl 1337.26010
2013
Quantum thermodynamics: a dynamical viewpoint. Zbl 1297.81122
Kosloff, Ronnie
2013
Quantum entanglement concentration based on nonlinear optics for quantum communications. Zbl 1297.81039
Sheng, Yu-Bo; Zhou, Lan
2013
Synchronization of a class of fractional-order chaotic neural networks. Zbl 1339.34060
Chen, Liping; Qu, Jianfeng; Chai, Yi; Wu, Ranchao; Qi, Guoyuan
2013
Applications of entropy in finance: a review. Zbl 1422.91673
Zhou, Rongxi; Cai, Ru; Tong, Guanqun
2013
Time series analysis using composite multiscale entropy. Zbl 1298.65020
Wu, Shuen-De; Wu, Chiu-Wen; Lin, Shiou-Gwo; Wang, Chun-Chieh; Lee, Kung-Yen
2013
Towards realising secure and efficient image and video processing applications on quantum computers. Zbl 1337.81036
Iliyasu, Abdullah M.
2013
Theoretical foundations and mathematical formalism of the power-law tailed statistical distributions. Zbl 06578392
2013
The relation between Granger causality and directed information theory: a review. Zbl 06346067
Amblard, Pierre-Olivier; Michel, Olivier J. J.
2013
Deformed exponentials and applications to finance. Zbl 1422.91725
Trivellato, Barbara
2013
Objective Bayesianism and the maximum entropy principle. Zbl 1335.62008
Landes, Jürgen; Williamson, Jon
2013
Reliability of inference of directed climate networks using conditional mutual information. Zbl 1296.62218
Hlinka, Jaroslav; Hartman, David; Vejmelka, Martin; Runge, Jakob; Marwan, Norbert; Kurths, Jürgen; Paluš, Milan
2013
On the entropy of a two step random Fibonacci substitution. Zbl 1357.68154
Nilsson, Johan
2013
Dynamics of instantaneous condensation in the ZRP conditioned on an atypical current. Zbl 1342.82095
Harris, Rosemary J.; Popkov, Vladislav; Schütz, Gunter M.
2013
Nonparametric information geometry: from divergence function to referential-representational biduality on statistical manifolds. Zbl 1338.53062
Zhang, Jun
2013
Simulation study of direct causality measures in multivariate time series. Zbl 1336.62153
Papana, Angeliki; Kyrtsou, Catherine; Kugiumtzis, Dimitris; Diks, Cees
2013
Examples of the application of nonparametric information geometry to statistical physics. Zbl 1346.35144
Pistone, Giovanni
2013
Entropic forms and related algebras. Zbl 1305.82011
Scarfone, Antonio Maria
2013
Entropy and entropy production: old misconceptions and new breakthroughs. Zbl 1305.80001
Martyushev, Leonid M.
2013
An entropy-based weighted concept lattice for merging multi-source geo-ontologies. Zbl 1325.94052
Li, Junli; He, Zongyi; Zhu, Qiaoli
2013
Efficiently measuring complexity on the basis of real-world data. Zbl 1359.62387
Unakafova, Valentina A.; Keller, Karsten
2013
Outer synchronization between fractional-order complex networks: a non-fragile observer-based control scheme. Zbl 1297.93126
Zhao, Meichun; Wang, Junwei
2013
Genetic algorithm-based identification of fractional-order systems. Zbl 1297.93062
Zhou, Shengxi; Cao, Junyi; Chen, Yangquan
2013
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