Edit Profile Barbaresco, Frédéric Compute Distance To: Compute Author ID: barbaresco.frederic Published as: Barbaresco, Frederic; Barbaresco, Frédéric Documents Indexed: 28 Publications since 1998, including 4 Books all top 5 Co-Authors 11 single-authored 4 Arnaudon, Marc 4 Nielsen, Frank 2 Bennis, Fouad 2 Briheche, Yann 2 Chablat, Damien 2 Le Brigant, Alice 1 Angulo, Jesús 1 Bigot, Jéremie 1 Bonnabel, Silvère 1 Bouleux, Guillaume 1 Brooks, Daniel R. 1 Buet, Blanche 1 Cabanes, Yann 1 Charon, Nicolas 1 Chevallier, Emmanuel 1 Cord, Matthieu 1 Desquilbet, François 1 Dréo, Johann 1 Leonardi, Gian Paolo 1 Liu, Zhongxun 1 Masnou, Simon 1 Mirebeau, Jean-Marie 1 Pilté, Marion 1 Schneider, Jean-Yves 1 Schönlieb, Carola-Bibiane 1 Schwander, Olivier 1 Van Gennip, Yves 1 Yang, Le Serials 4 Lecture Notes in Computer Science 3 Traitement du Signal 1 Journal of Optimization Theory and Applications 1 Entropy 1 SMAI Journal of Computational Mathematics all top 5 Fields 22 Information and communication theory, circuits (94-XX) 6 Differential geometry (53-XX) 6 Statistics (62-XX) 4 General and overarching topics; collections (00-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Nonassociative rings and algebras (17-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 13 Publications have been cited 50 times in 37 Documents Cited by ▼ Year ▼ Information geometry of covariance matrix: Cartan-Siegel homogeneous bounded domains, Mostow/Berger fibration and Fréchet median. Zbl 1319.62072Barbaresco, Frédéric 13 2013 Medians and means in Riemannian geometry: existence, uniqueness and computation. Zbl 1319.58008Arnaudon, Marc; Barbaresco, Frédéric; Yang, Le 11 2013 Koszul information geometry and Souriau geometric temperature/capacity of Lie group thermodynamics. Zbl 1338.94028Barbaresco, Frédéric 6 2014 Reparameterization invariant metric on the space of curves. Zbl 1396.58011Le Brigant, Alice; Arnaudon, Marc; Barbaresco, Frédéric 4 2015 Geometric science of information. First international conference, GSI 2013, Paris, France, August 28–30, 2013. Proceedings. Zbl 1284.94005Nielsen, Frank (ed.); Barbaresco, Frédéric (ed.) 4 2013 Symplectic structure of information geometry: Fisher metric and Euler-Poincaré equation of Souriau Lie group thermodynamics. Zbl 1406.94011Barbaresco, Frédéric 3 2015 Poly-symplectic model of higher order Souriau Lie groups thermodynamics for small data analytics. Zbl 1428.80003Barbaresco, Frederic 2 2017 Geometric science of information. Second international conference, GSI 2015, Palaiseau, France, October 28–30, 2015. Proceedings. Zbl 1334.94028Nielsen, Frank (ed.); Barbaresco, Frédéric (ed.) 2 2015 Theoretical complexity of grid cover problems used in radar applications. Zbl 1440.05058Briheche, Yann; Barbaresco, Frederic; Bennis, Fouad; Chablat, Damien 1 2018 Geometric science of information. Third international conference, GSI 2017, Paris, France, November 7–9, 2017. Proceedings. Zbl 1374.94006Nielsen, Frank (ed.); Barbaresco, Frédéric (ed.) 1 2017 Probability density estimation on the hyperbolic space applied to radar processing. Zbl 1396.94024Chevallier, Emmanuel; Barbaresco, Frédéric; Angulo, Jesús 1 2015 Eidetic reduction of information geometry through Legendre duality of Koszul characteristic function and entropy: from Massieu-Duhem potentials to geometric Souriau temperature and Balian quantum Fisher metric. Zbl 1317.94035Barbaresco, Frédéric 1 2014 Information/contact geometries and Koszul entropy. Zbl 1396.94023Barbaresco, Frédéric 1 2013 Theoretical complexity of grid cover problems used in radar applications. Zbl 1440.05058Briheche, Yann; Barbaresco, Frederic; Bennis, Fouad; Chablat, Damien 1 2018 Poly-symplectic model of higher order Souriau Lie groups thermodynamics for small data analytics. Zbl 1428.80003Barbaresco, Frederic 2 2017 Geometric science of information. Third international conference, GSI 2017, Paris, France, November 7–9, 2017. Proceedings. Zbl 1374.94006Nielsen, Frank (ed.); Barbaresco, Frédéric (ed.) 1 2017 Reparameterization invariant metric on the space of curves. Zbl 1396.58011Le Brigant, Alice; Arnaudon, Marc; Barbaresco, Frédéric 4 2015 Symplectic structure of information geometry: Fisher metric and Euler-Poincaré equation of Souriau Lie group thermodynamics. Zbl 1406.94011Barbaresco, Frédéric 3 2015 Geometric science of information. Second international conference, GSI 2015, Palaiseau, France, October 28–30, 2015. Proceedings. Zbl 1334.94028Nielsen, Frank (ed.); Barbaresco, Frédéric (ed.) 2 2015 Probability density estimation on the hyperbolic space applied to radar processing. Zbl 1396.94024Chevallier, Emmanuel; Barbaresco, Frédéric; Angulo, Jesús 1 2015 Koszul information geometry and Souriau geometric temperature/capacity of Lie group thermodynamics. Zbl 1338.94028Barbaresco, Frédéric 6 2014 Eidetic reduction of information geometry through Legendre duality of Koszul characteristic function and entropy: from Massieu-Duhem potentials to geometric Souriau temperature and Balian quantum Fisher metric. Zbl 1317.94035Barbaresco, Frédéric 1 2014 Information geometry of covariance matrix: Cartan-Siegel homogeneous bounded domains, Mostow/Berger fibration and Fréchet median. Zbl 1319.62072Barbaresco, Frédéric 13 2013 Medians and means in Riemannian geometry: existence, uniqueness and computation. Zbl 1319.58008Arnaudon, Marc; Barbaresco, Frédéric; Yang, Le 11 2013 Geometric science of information. First international conference, GSI 2013, Paris, France, August 28–30, 2013. Proceedings. Zbl 1284.94005Nielsen, Frank (ed.); Barbaresco, Frédéric (ed.) 4 2013 Information/contact geometries and Koszul entropy. Zbl 1396.94023Barbaresco, Frédéric 1 2013 all cited Publications top 5 cited Publications all top 5 Cited by 65 Authors 3 Barbaresco, Frédéric 2 Angulo, Jesús 2 Bhatia, Rajendra 2 Jeuris, Ben 2 Klassen, Eric Paul 2 Le Brigant, Alice 2 Lim, Yongdo 2 Minh, Ha Quang 2 Newton, Nigel J. 2 Vandebril, Raf 1 Arnaudon, Alexis 1 Bauer, Martin 1 Bennis, Fouad 1 Bini, Dario Andrea 1 Blacker, Casey 1 Boyd, Stephen Poythress 1 Bravetti, Alessandro 1 Briheche, Yann 1 Broniatowski, Michel 1 Cassioli, Andrea 1 Chablat, Damien 1 Chevallier, Emmanuel 1 Crnkić, Aladin 1 Georgiou, Tryphon T. 1 Grover, Priyanka 1 Günlük, Oktay 1 Hang, Haibin 1 Holmes, Susan P. 1 Hosseini, Reshad 1 Iannazzo, Bruno 1 Itoh, Mitsuhiro 1 Jaćimović, Vladimir 1 Jain, Tanvi 1 Kalunga, Emmanuel K. 1 Kumar, Pradip 1 Lavor, Carlile Campos 1 Le, Huiling 1 Lee, Hosoo 1 Liberti, Leo 1 Marle, Charles-Michel 1 Mémoli, Facundo 1 Mio, Washington 1 Miolane, Nina 1 Modin, Klas 1 Monsaingeon, Léonard 1 Murino, Vittorio 1 Needham, Tom 1 Ning, Lipeng 1 Papayiannis, Georgios I. 1 Pennec, Xavier 1 Puechmorel, Stephane 1 Satoh, Hiroyasu 1 Sra, Suvrit 1 Srivastava, Anuj 1 Storath, Martin 1 Stummer, Wolfgang 1 Su, Jingyong 1 Su, Zhe 1 Takao, So 1 Tannenbaum, Allen Robert 1 Vorotnikov, Dmitry A. 1 Weinmann, Andreas 1 Yannacopoulos, Athanasios N. 1 Zhang, Teng 1 Zhang, Zhengwu all top 5 Cited in 26 Serials 3 Linear Algebra and its Applications 3 Journal of Geometric Mechanics 2 Journal of Geometry and Physics 2 SIAM Journal on Matrix Analysis and Applications 1 Discrete Applied Mathematics 1 BIT 1 Journal of Multivariate Analysis 1 Annals of Global Analysis and Geometry 1 International Journal of Mathematics 1 Differential Geometry and its Applications 1 SIAM Review 1 Expositiones Mathematicae 1 Journal of Mathematical Imaging and Vision 1 Calculus of Variations and Partial Differential Equations 1 Advances in Applied Clifford Algebras 1 Bernoulli 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Scandinavian Actuarial Journal 1 Entropy 1 Multiscale Modeling & Simulation 1 International Journal of Geometric Methods in Modern Physics 1 Journal of Geometry and Symmetry in Physics 1 SIAM Journal on Imaging Sciences 1 SIAM Journal on Applied Algebra and Geometry 1 Journal of Applied and Computational Topology 1 Information Geometry all top 5 Cited in 31 Fields 18 Differential geometry (53-XX) 12 Statistics (62-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 6 Numerical analysis (65-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Probability theory and stochastic processes (60-XX) 4 Real functions (26-XX) 4 Operator theory (47-XX) 4 Information and communication theory, circuits (94-XX) 3 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Partial differential equations (35-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Citations by Year