Geometric science of information. 4th international conference, GSI 2019, Toulouse, France, August 27–29, 2019. Proceedings. (English) Zbl 1428.94016

Lecture Notes in Computer Science 11712. Cham: Springer (ISBN 978-3-030-26979-1/pbk; 978-3-030-26980-7/ebook). xix, 770 p. (2019).

Show indexed articles as search result.

The articles of this volume will be reviewed individually. For the preceding conference see [Zbl 1374.94006].
Indexed articles:
Sei, Tomonari; Tanaka, Ushio, On geometric properties of the textile set and strict textile set, 3-12 [Zbl 1458.62010]
Bauer, Martin; Charon, Nicolas; Harms, Philipp, Inexact elastic shape matching in the square root normal field framework, 13-20 [Zbl 1458.94012]
Celledoni, Elena; Lystad, Pål Erik; Tapia, Nikolas, Signatures in shape analysis: an efficient approach to motion identification, 21-30 [Zbl 1458.94018]
Bouleux, Guillaume; Barbaresco, Frederic, Dilation operator approach and square root velocity transform for time/Doppler spectra characterization on \(\mathrm{SU}(n)\), 31-38 [Zbl 1458.94016]
Bock, Andreas; Arnaudon, Alexis; Cotter, Colin, Selective metamorphosis for growth modelling with applications to landmarks, 39-48 [Zbl 1458.94015]
Lerbet, Jean; Challamel, Noël; Nicot, François; Darve, Félix, Intrinsic incremental mechanics, 51-54 [Zbl 1458.70009]
Chirco, Goffredo; Laudato, Marco; Mele, Fabio M., Multi-symplectic Lie group thermodynamics for covariant field theories, 55-65 [Zbl 1458.70008]
de Saxcé, Géry, Euler-Poincaré equation for Lie groups with non null symplectic cohomology. Application to the mechanics, 66-74 [Zbl 1458.70013]
Bensoam, Joël; Carré, Pierre, Geometric numerical methods with Lie groups, 75-84 [Zbl 1458.70012]
Barbaresco, Frédéric, Souriau exponential map algorithm for machine learning on matrix Lie groups, 85-95 [Zbl 1458.65043]
Corbier, Christophe, \(\mathbb{R}\)-complex Finsler information geometry applied to manifolds of systems, 99-106 [Zbl 1458.94084]
Angulo, Jesús, Minkowski sum of ellipsoids and means of covariance matrices, 107-115 [Zbl 1458.15056]
Girard, Patrick R.; Clarysse, Patrick; Pujol, Romaric; Goutte, Robert; Delachartre, Philippe, Hyperquaternions: an efficient mathematical formalism for geometry, 116-125 [Zbl 1458.15041]
Uohashi, Keiko, \(\alpha\)-power sums on symmetric cones, 126-134 [Zbl 1462.47013]
Semper, Sebastian; Hotz, Thomas, Packing bounds for outer products with applications to compressive sensing, 135-143 [Zbl 1458.94126]
Tojo, Koichi; Yoshino, Taro, On a method to construct exponential families by representation theory, 147-156 [Zbl 1458.62111]
Barbaresco, Frédéric, Lie group machine learning and Gibbs density on Poincaré unit disk from Souriau Lie groups thermodynamics and \(\mathrm{SU}(1,1)\) coadjoint orbits, 157-170 [Zbl 1458.70010]
Arnaudon, Alexis; Barp, Alessandro; Takao, So, Irreversible Langevin MCMC on Lie groups, 171-179 [Zbl 1458.65004]
Celledoni, Elena; Gustad, Halvor S.; Kopylov, Nikita; Sundklakk, Henrik S., Predicting bending moments with machine learning, 180-187 [Zbl 1458.74082]
Carmeli, Claudio; Fioresi, Rita; Varadarajan, V. S., The exponential of nilpotent supergroups in the theory of Harish-Chandra representations, 188-195 [Zbl 1458.17008]
Yoshimura, Hiroaki; Gay-Balmaz, François, Dirac structures in open thermodynamics, 199-208 [Zbl 1458.80002]
Gay-Balmaz, François; Yoshimura, Hiroaki, From variational to bracket formulations in nonequilibrium thermodynamics of simple systems, 209-217 [Zbl 1458.80001]
Peltre, Olivier, A homological approach to belief propagation and Bethe approximations, 218-227 [Zbl 1458.82007]
van der Schaft, Arjan; Maschke, Bernhard, About some system-theoretic properties of port-thermodynamic systems, 228-238 [Zbl 1458.93051]
Goto, Shin-itiro; Hino, Hideitsu, Expectation variables on a para-contact metric manifold exactly derived from master equations, 239-247 [Zbl 1458.37066]
Ohara, Atsumi, Doubly autoparallel structure on positive definite matrices and its applications, 251-260 [Zbl 1458.53021]
Cabanes, Yann; Barbaresco, Frédéric; Arnaudon, Marc; Bigot, Jérémie, Toeplitz Hermitian positive definite matrix machine learning based on Fisher metric, 261-270 [Zbl 1458.94078]
Vieira, Francisca Leidmar Josue; Vigelis, Rui Facundo; de Andrade, Luiza Helena Felix; Cavalcante, Charles Casimiro, Deformed exponential and the behavior of the normalizing function, 271-278 [Zbl 1458.60008]
Matsuzoe, Hiroshi; Scarfone, Antonio M.; Wada, Tatsuaki, Normalization problems for deformed exponential families, 279-287 [Zbl 1458.60024]
Zhang, Jun; Khan, Gabriel, New geometry of parametric statistical models, 288-296 [Zbl 1458.53024]
Nielsen, Frank; Nock, Richard, The Bregman chord divergence, 299-308 [Zbl 1458.94172]
Broniatowski, Michel; Miranda, Emilie; Stummer, Wolfgang, Testing the number and the nature of the components in a mixture distribution, 309-318 [Zbl 1458.62066]
Roensch, Birgit; Stummer, Wolfgang, Robust estimation by means of scaled Bregman power distances. I: Non-homogeneous data, 319-330 [Zbl 1458.62078]
Roensch, Birgit; Stummer, Wolfgang, Robust estimation by means of scaled Bregman power distances. II: Extreme values, 331-340 [Zbl 1458.62079]
McInnes, Leland, Topological methods for unsupervised learning, 343-350 [Zbl 1458.68174]
Gomes-Gonçalves, Erika; Gzyl, Henryk; Nielsen, Frank, Geometry and fixed-rate quantization in Riemannian metric spaces induced by separable Bregman divergences, 351-358 [Zbl 1458.53020]
Nielsen, Frank, The statistical Minkowski distances: closed-form formula for Gaussian mixture models, 359-367 [Zbl 1458.62012]
Takenouchi, Takashi, Parameter estimation with generalized empirical localization, 368-376 [Zbl 1458.62071]
Grivel, Eric, Properties of the cross entropy between ARMA processes, 377-386 [Zbl 1458.62200]
Siddiqui, Aliya Naaz; Ahmad, Kamran; Özel, Cenap, Inequalities for statistical submanifolds in Hessian manifolds of constant Hessian curvature, 389-397 [Zbl 1458.53022]
Aquib, Mohd.; Boyom, Michel Nguiffo; Alkhaldi, Ali H.; Shahid, Mohammad Hasan, B. Y. Chen inequalities for statistical submanifolds in Sasakian statistical manifolds, 398-406 [Zbl 1458.53018]
Boyom, Michel Nguiffo; Jabeen, Zamrooda; Lone, Mehraj Ahmad; Lone, Mohamd Saleem; Shahid, Mohammad Hasan, Generalized Wintgen inquality for Legendrian submanifolds in Sasakian statistical manifolds, 407-412 [Zbl 1458.53060]
Wong, Ting-Kam Leonard; Yang, Jiaowen, Logarithmic divergences: geometry and interpretation of curvature, 413-422 [Zbl 1458.53029]
Khan, Gabriel; Zhang, Jun, Hessian curvature and optimal transport, 423-430 [Zbl 1458.49039]
Felice, Domenico; Ay, Nihat, Divergence functions in information geometry, 433-442 [Zbl 1458.53019]
Newton, Nigel J., Sobolev statistical manifolds and exponential models, 443-452 [Zbl 1458.58007]
Siri, Paola; Trivellato, Barbara, Minimization of the Kullback-Leibler divergence over a log-normal exponential arc, 453-461 [Zbl 1458.62011]
Itoh, Mitsuhiro; Satoh, Hiroyasu, Riemannian distance and diameter of the space of probability measures and the parametrix, 462-471 [Zbl 1458.60012]
Minh, Hà Quang, A unified formulation for the Bures-Wasserstein and log-Euclidean/log-Hilbert-Schmidt distances between positive definite operators, 475-483 [Zbl 1458.62138]
Thanwerdas, Yann; Pennec, Xavier, Exploration of balanced metrics on symmetric positive definite matrices, 484-493 [Zbl 1458.53023]
Mostajeran, Cyrus; Grussler, Christian; Sepulchre, Rodolphe, Affine-invariant midrange statistics, 494-501 [Zbl 1458.15059]
Thanwerdas, Yann; Pennec, Xavier, Is affine-invariance well defined on SPD matrices? A principled continuum of metrics, 502-510 [Zbl 1458.53016]
Groscot, Raphaël; Cohen, Laurent; Guibas, Leonidas, Shape part transfer via semantic latent space factorization, 511-519 [Zbl 1458.68164]
Bauer, Werner; Gay-Balmaz, François, Variational discretization framework for geophysical flow models, 523-531 [Zbl 1458.76076]
Gawlik, Evan S., Finite element methods for geometric evolution equations, 532-540 [Zbl 1458.53100]
Jiménez, Fernando; Ober-Blöbaum, Sina, Local truncation error of low-order fractional variational integrators, 541-548 [Zbl 1458.37088]
Serhani, Anass; Matignon, Denis; Haine, Ghislain, A partitioned finite element method for the structure-preserving discretization of damped infinite-dimensional port-Hamiltonian systems with boundary control, 549-558 [Zbl 1460.35361]
Llor, Antoine; Vazquez-Gonzalez, Thibaud, Geometry, energy, and entropy compatible (GEEC) variational approaches to various numerical schemes for fluid dynamics, 559-567 [Zbl 1458.76077]
Stenger, Jérôme; Gamboa, Fabrice; Keller, Merlin; Iooss, Bertrand, Canonical moments for optimal uncertainty quantification on a variety, 571-578 [Zbl 1458.60007]
Luft, Daniel; Welker, Kathrin, Computational investigations of an obstacle-type shape optimization problem in the space of smooth shapes, 579-588 [Zbl 1458.49035]
Samir, Chafik; Adouani, Ines, Bézier curves and \(C^2\) interpolation in Riemannian symmetric spaces, 589-598 [Zbl 1458.65015]
Mallasto, Anton; Haije, Tom Dela; Feragen, Aasa, A formalization of the natural gradient method for general similarity measures, 599-607 [Zbl 1458.90637]
Brunel, Nicolas J.-B.; Park, Juhyun, The Frenet-Serret framework for aligning geometric curves, 608-617 [Zbl 1458.53007]
Berthier, Michel; Provenzi, Edoardo, When geometry meets psycho-physics and quantum mechanics: modern perspectives on the space of perceived colors, 621-630 [Zbl 1458.53017]
Naudts, Jan, Quantum statistical manifolds: the finite-dimensional case, 631-637 [Zbl 1458.58006]
Chirco, Goffredo; Kotecha, Isha, Generalized Gibbs ensembles in discrete quantum gravity, 638-646 [Zbl 1458.82005]
Ciaglia, Florio Maria; Ibort, Alberto; Marmo, Giuseppe, On the notion of composite system, 647-654 [Zbl 1458.81007]
Said, Salem; Manton, Jonathan H., The Riemannian barycentre as a proxy for global optimisation, 657-664 [Zbl 1458.53059]
Barp, Alessandro, Hamiltonian Monte Carlo on Lie groups and constrained mechanics on homogeneous manifolds, 665-675 [Zbl 1458.70011]
Pinele, Julianna; Costa, Sueli I. R.; Strapasson, João E., On the Fisher-Rao information metric in the space of normal distributions, 676-684 [Zbl 1458.62013]
Jensen, Mathias Højgaard; Mallasto, Anton; Sommer, Stefan, Simulation of conditioned diffusions on the flat torus, 685-694 [Zbl 1458.60089]
Chevallier, Emmanuel, Towards parametric bi-invariant density estimation on \(\mathrm{SE}(2)\), 695-702 [Zbl 1458.62068]
Li, Wuchen; Lin, Alex Tong; Montúfar, Guido, Affine natural proximal learning, 705-714 [Zbl 1458.62115]
Li, Wuchen; Liu, Shu; Zha, Hongyuan; Zhou, Haomin, Parametric Fokker-Planck equation, 715-724 [Zbl 1458.60079]
Chen, Yongxin; Conforti, Giovanni; Georgiou, Tryphon T.; Ripani, Luigia, Multi-marginal Schrödinger bridges, 725-732 [Zbl 1458.49037]
Léger, Flavien; Li, Wuchen, Hopf-Cole transformation and Schrödinger problems, 733-738 [Zbl 1458.60013]
Massart, Estelle; Hendrickx, Julien M.; Absil, P.-A., Curvature of the manifold of fixed-rank positive-semidefinite matrices endowed with the Bures-Wasserstein metric, 739-748 [Zbl 1458.53028]
Brooks, Daniel; Schwander, Olivier; Barbaresco, Frédéric; Schneider, Jean-Yves; Cord, Matthieu, Second-order networks in Pytorch, 751-758 [Zbl 1458.15057]
Guigui, Nicolas; Jia, Shuman; Sermesant, Maxime; Pennec, Xavier, Symmetric algorithmic components for shape analysis with diffeomorphisms, 759-768 [Zbl 1458.94033]


94-06 Proceedings, conferences, collections, etc. pertaining to information and communication theory
49-06 Proceedings, conferences, collections, etc. pertaining to calculus of variations and optimal control
53-06 Proceedings, conferences, collections, etc. pertaining to differential geometry
60-06 Proceedings, conferences, collections, etc. pertaining to probability theory
62-06 Proceedings, conferences, collections, etc. pertaining to statistics
00B25 Proceedings of conferences of miscellaneous specific interest


Zbl 1374.94006
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