Nielsen, Frank (ed.); Barbaresco, Frédéric (ed.) Geometric science of information. 5th international conference, GSI 2021, Paris, France, July 21–23, 2021. Proceedings. (English) Zbl 1482.94007 Lecture Notes in Computer Science 12829. Cham: Springer (ISBN 978-3-030-80208-0/pbk; 978-3-030-80209-7/ebook). xxix, 929 p. (2021). Show indexed articles as search result. The articles of this volume will be reviewed individually. For the preceding conference see [Zbl 1428.94016].Indexed articles:Said, Salem; Le Bihan, Nicolas; Manton, Jonathan H., From Bayesian inference to MCMC and convex optimisation in Hadamard manifolds, 3-11 [Zbl 07495196]Eltzner, Benjamin; Hundrieser, Shayan; Huckemann, Stephan, Finite sample smeariness on spheres, 12-19 [Zbl 07495197]Heuveline, Simon; Said, Salem; Mostajeran, Cyrus, Gaussian distributions on Riemannian symmetric spaces in the large \(N\) limit, 20-28 [Zbl 1485.60016]Tran, Do; Eltzner, Benjamin; Huckemann, Stephan, Smeariness begets finite sample smeariness, 29-36 [Zbl 07495199]Tupker, Quinten; Said, Salem; Mostajeran, Cyrus, Online learning of Riemannian hidden Markov models in homogeneous Hadamard spaces, 37-44 [Zbl 1487.60138]Citti, Giovanna; Giovannardi, Gianmarco; Ritoré, Manuel; Sarti, Alessandro, Submanifolds of fixed degree in graded manifolds for perceptual completion, 47-55 [Zbl 1490.53080]Asswad, Rand; Boscain, Ugo; Turco, Giuseppina; Prandi, Dario; Sacchelli, Ludovic, An auditory cortex model for sound processing, 56-64 [Zbl 1486.92007]Alekseevsky, Dmitri, Conformal model of hypercolumns in V1 cortex and the Möbius group. Application to the visual stability problem, 65-72 [Zbl 1486.92006]Mashtakov, Alexey, Extremal controls for the Duits car, 73-81 [Zbl 1485.93122]Kowalewski, Rosa; Gris, Barbara, Multi-shape registration with constrained deformations, 82-90 [Zbl 1493.53044]Thanwerdas, Yann; Pennec, Xavier, Geodesics and curvature of the quotient-affine metrics on full-rank correlation matrices, 93-102 [Zbl 07495206]Guigui, Nicolas; Maignant, Elodie; Trouvé, Alain; Pennec, Xavier, Parallel transport on Kendall shape spaces, 103-110 [Zbl 07495207]Hansen, Pernille; Eltzner, Benjamin; Sommer, Stefan, Diffusion means and heat kernel on manifolds, 111-118 [Zbl 07495208]Guigui, Nicolas; Pennec, Xavier, A reduced parallel transport equation on Lie groups with a left-invariant metric, 119-126 [Zbl 1490.53072]Hansen, Pernille E. H.; Waagepetersen, Rasmus; Svane, Anne Marie; Sporring, Jon; Stephensen, Hans J. T.; Hasselholt, Stine; Sommer, Stefan, Currents and \(K\)-functions for fiber point processes, 127-134 [Zbl 1485.94006]Corbier, Christophe, \(Q\)-information geometry of systems, 137-144 [Zbl 1490.53023]Ciaglia, Florio Maria; Di Nocera, Fabio, Group actions and monotone metric tensors: the qubit case, 145-153 [Zbl 1487.81025]Minh, Hà Quang, Quantum Jensen-Shannon divergences between infinite-dimensional positive definite operators, 154-162 [Zbl 1487.81012]Rattacaso, Davide; Vitale, Patrizia; Hamma, Alioscia, Towards a geometrization of quantum complexity and chaos, 163-171 [Zbl 1487.81011]Berthier, Michel; Provenzi, Edoardo, Hunt’s colorimetric effect from a quantum measurement viewpoint, 172-180 [Zbl 1487.81006]de León, Manuel; Lainz, Manuel; Muñoz-Lecanda, Miguel C., The Herglotz principle and vakonomic dynamics, 183-190 [Zbl 1500.37043]Haine, Ghislain; Matignon, Denis, Structure-preserving discretization of a coupled heat-wave system, as interconnected port-Hamiltonian systems, 191-199 [Zbl 1491.76044]Evangelista-Alvarado, Miguel; Ruíz-Pantaleón, José Crispín; Suárez-Serrato, Pablo, Examples of symbolic and numerical computation in Poisson geometry, 200-208 [Zbl 1502.53116]Bravetti, Alessandro; Seri, Marcello; Zadra, Federico, New directions for contact integrators, 209-216 [Zbl 1494.37052]Rouhaud, Emmanuelle; Kerner, Richard; Choucair, Israa; El Nahas, Roula; Charles, Alexandre; Panicaud, Benoit, Space-time thermo-mechanics for a material continuum, 219-226 [Zbl 1495.74002]Pessoa, Pedro, Entropic dynamics yields reciprocal relations, 227-234 [Zbl 1494.37004]Marle, Charles-Michel, Gibbs states on symplectic manifolds with symmetries, 237-244 [Zbl 1490.53091]Barbaresco, Frédéric, Gaussian distributions on the space of symmetric positive definite matrices from Souriau’s Gibbs state for Siegel domains by coadjoint orbit and moment map, 245-255 [Zbl 1486.60024]Ishi, Hideyuki, On Gaussian group convex models, 256-264 [Zbl 07495224]Chevallier, Emmanuel, Exponential-wrapped distributions on \(\mathrm{SL}(2,\mathbb{C})\) and the Möbius group, 265-272 [Zbl 1487.60007]Tarama, Daisuke; Françoise, Jean-Pierre, Information geometry and Hamiltonian systems on Lie groups, 273-280 [Zbl 1494.37042]Demoures, François; Gay-Balmaz, François, Multisymplectic variational integrators for fluid models with constraints, 283-291 [Zbl 1491.76054]Kraus, Michael, Metriplectic integrators for dissipative fluids, 292-301 [Zbl 1491.76055]Gay-Balmaz, François; Tronci, Cesare, From quantum hydrodynamics to Koopman wavefunctions. I, 302-310 [Zbl 1485.76088]Tronci, Cesare; Gay-Balmaz, François, From quantum hydrodynamics to Koopman wavefunctions. II, 311-319 [Zbl 1485.76089]Letac, Gérard, The Fisher information of curved exponential families and the elegant Kagan inequality, 323-330 [Zbl 1490.62033]Ishi, Hideyuki; Oshiro, Kazuhide, Continuous wavelet transforms for vector-valued functions, 331-339 [Zbl 1485.42053]Vigneaux, Juan Pablo, Entropy under disintegrations, 340-349 [Zbl 1485.94039]Barbaresco, Frédéric, Koszul information geometry, Liouville-Mineur integrable systems and Moser isospectral deformation method for Hermitian positive-definite matrices, 350-359 [Zbl 07495234]Terze, Zdravko; Pandža, Viktor; Andrić, Marijan; Zlatar, Dario, Flapping wing coupled dynamics in Lie group setting, 360-367 [Zbl 1485.76016]Boyom, Michel; Gnandi, Emmanuel; Puechmorel, Stéphane, Canonical foliations of statistical manifolds with hyperbolic compact leaves, 371-379 [Zbl 1492.53064]Boyom, Michel, Open problems in global analysis. Structured foliations and the information geometry, 380-388 [Zbl 07495237]Opozda, Barbara, Curvature inequalities and Simons’ type formulas in statistical geometry, 389-396 [Zbl 1490.53026]Mahesh, T. V.; Moosath, K. S. Subrahamanian, Harmonicity of conformally-projectively equivalent statistical manifolds and conformal statistical submersions, 397-404 [Zbl 1490.53025]Bini, Dario A.; Iannazzo, Bruno; Meng, Jie, Algorithms for approximating means of semi-infinite quasi-Toeplitz matrices, 405-414 [Zbl 1496.65059]Barbaresco, Frédéric, Archetypal model of entropy by Poisson cohomology as invariant Casimir function in coadjoint representation and geometric Fourier heat equation, 417-429 [Zbl 1517.53071]Jensen, Mathias Højgaard; Joshi, Sarang; Sommer, Stefan, Bridge simulation and metric estimation on Lie groups, 430-438 [Zbl 1487.60084]Shirafkan, Nima; Gosselet, Pierre; Bamer, Franz; Oueslati, Abdelbacet; Markert, Bernd; de Saxcé, Géry, Constructing the Hamiltonian from the behaviour of a dynamical system by proper symplectic decomposition, 439-447 [Zbl 1494.37035]Bergshoeff, Eric; Lahnsteiner, Johannes; Romano, Luca; Rosseel, Jan; Şimşek, Ceyda, Non-relativistic limits of general relativity, 448-455 [Zbl 1487.83143]Rioul, Olivier, A primer on alpha-information theory with application to leakage in secrecy systems, 459-467 [Zbl 1485.94035]Monsaingeon, Léonard; Vorotnikov, Dmitry, Schrödinger encounters Fisher and Rao: a survey, 468-476 [Zbl 07495246]Tao, Zhixu; Wong, Ting-Kam Leonard, Projections with logarithmic divergences, 477-486 [Zbl 07495247]Grivel, Eric, Chernoff, Bhattacharyya, Rényi and Sharma-Mittal divergence analysis for Gaussian stationary ARMA processes, 487-495 [Zbl 07495248]Amari, Shun-ichi; Matsuda, Takeru, Wasserstein statistics in one-dimensional location-scale models, 499-506 [Zbl 07495249]García Trillos, Nicolás; Morales, Félix; Morales, Javier, Traditional and accelerated gradient descent for neural architecture search, 507-514 [Zbl 07495250]Khan, Gabriel; Zhang, Jun, Recent developments on the MTW tensor, 515-523 [Zbl 1492.49043]Lin, Alex Tong; Li, Wuchen; Osher, Stanley; Montúfar, Guido, Wasserstein proximal of GANs, 524-533 [Zbl 07495252]Vigneaux, Juan Pablo, Information cohomology of classical vector-valued observables, 537-546 [Zbl 1485.94040]Peltre, Olivier, Belief propagation as diffusion, 547-556 [Zbl 07495254]Parzygnat, Arthur J., Towards a functorial description of quantum relative entropy, 557-564 [Zbl 1485.94038]Combe, Noemie; Combe, Philippe; Nencka, Hanna, Frobenius statistical manifolds and geometric invariants, 565-573 [Zbl 1490.53022]Lagrave, Pierre-Yves; Cabanes, Yann; Barbaresco, Frédéric, \(\mathrm{SU}(1,1)\) equivariant neural networks and application to robust Toeplitz Hermitian positive definite matrix classification, 577-584 [Zbl 1493.68330]Fuchs, Fabian B.; Wagstaff, Edward; Dauparas, Justas; Posner, Ingmar, Iterative SE(3)-transformers, 585-595 [Zbl 1486.92140]Gigli, Leonardo; Marcotegui, Beatriz; Velasco-Forero, Santiago, End-to-end similarity learning and hierarchical clustering for unfixed size datasets, 596-604 [Zbl 1485.94036]Menon, Govind, Information theory and the embedding problem for Riemannian manifolds, 605-612 [Zbl 1490.53078]Marti, Gautier; Goubet, Victor; Nielsen, Frank, cCorrGAN: conditional correlation GAN for learning empirical conditional distributions in the elliptope, 613-620 [Zbl 07495261]Marcolli, Matilde, Topological model of neural information networks, 623-633 [Zbl 1484.92008]Baudot, Pierre, On information links, 634-644 [Zbl 1485.94034]Curto, Carina; Paik, Joshua; Rivin, Igor, Betti curves of rank one symmetric matrices, 645-655 [Zbl 1483.55003]Berkouk, Nicolas, Algebraic homotopy interleaving distance, 656-664 [Zbl 1486.55010]Centeno, Eduarda Gervini Zampieri; Moreni, Giulia; Vriend, Chris; Douw, Linda; Santos, Fernando Antônio Nóbrega, A Python hands-on tutorial on network and topological neuroscience, 665-673 [Zbl 1486.92008]Nielsen, Frank; Nock, Richard, Computing statistical divergences with sigma points, 677-684 [Zbl 07495267]Skalski, Tomasz, Remarks on Laplacian of graphical models in various graphs, 685-692 [Zbl 1485.05106]Cabanes, Yann; Nielsen, Frank, Classification in the Siegel space for vectorial autoregressive data, 693-700 [Zbl 1490.53021]Garba, Maryam K.; Nye, Tom M. W.; Lueg, Jonas; Huckemann, Stephan F., Information metrics for phylogenetic trees via distributions of discrete and continuous characters, 701-709 [Zbl 1486.92134]Lueg, Jonas; Garba, Maryam K.; Nye, Tom M. W.; Huckemann, Stephan F., Wald space for phylogenetic trees, 710-717 [Zbl 1486.92136]Tanaka, Hisatoshi, A necessary condition for semiparametric efficiency of experimental designs, 718-725 [Zbl 07495272]van Oostrum, Jesse; Ay, Nihat, Parametrisation independence of the natural gradient in overparametrised systems, 726-735 [Zbl 07495273]Ohara, Atsumi; Zhang, Xiaoyan, Properties of nonlinear diffusion equations on networks and their geometric aspects, 736-743 [Zbl 1486.05290]Chirco, Goffredo, Rényi relative entropy from homogeneous Kullback-Leibler divergence Lagrangian, 744-751 [Zbl 07495275]Pistone, Giovanni, Statistical bundle of the transport model, 752-759 [Zbl 07495276]Bendokat, Thomas; Zimmermann, Ralf, Efficient quasi-geodesics on the Stiefel manifold, 763-771 [Zbl 1493.53073]Jehan-Besson, Stéphanie; Clouard, Régis; Boddaert, Nathalie; Grill, Jacques; Frouin, Frédérique, Optimization of a shape metric based on information theory applied to segmentation fusion and evaluation in multimodal MRI for DIPG tumor analysis, 772-780 [Zbl 1486.92098]François, Anton; Gori, Pietro; Glaunès, Joan, Metamorphic image registration using a semi-Lagrangian scheme, 781-788 [Zbl 1485.94005]Gao, Bin; Son, Nguyen Thanh; Absil, P.-A.; Stykel, Tatjana, Geometry of the symplectic Stiefel manifold endowed with the Euclidean metric, 789-796 [Zbl 1490.53071]Nielsen, Frank; Okamura, Kazuki, On \(f\)-divergences between Cauchy distributions, 799-807 [Zbl 07495281]Li, Wuchen, Transport information Hessian distances, 808-817 [Zbl 1485.94037]Bertrand, Pierre; Broniatowski, Michel; Marcotorchino, Jean-François, Minimization with respect to divergences and applications, 818-828 [Zbl 07495283]Stummer, Wolfgang, Optimal transport with some directed distances, 829-840 [Zbl 1490.49034]Keziou, Amor; Toma, Aida, Robust empirical likelihood, 841-848 [Zbl 07495285]Fregier, Yael; Gouray, Jean-Baptiste, Mind2Mind: transfer learning for GANs, 851-859 [Zbl 07495286]Chen, Yongxin; Georgiou, Tryphon; Pavon, Michele, Fast and asymptotic steering to a steady state for networks flows, 860-868 [Zbl 1525.93138]Jacquet, Philippe; Tupikina, Liubov, Geometry of outdoor virus avoidance in cities, 869-877 [Zbl 1486.92110]Liu, Shu; Sun, Haodong; Zha, Hongyuan, A particle-evolving method for approximating the optimal transport plan, 878-887 [Zbl 1486.49066]Chiarini, Alberto; Conforti, Giovanni; Tamanini, Luca, Schrödinger problem for lattice gases: a heuristic point of view, 891-899 [Zbl 1485.60029]Gay-Balmaz, François; Yoshimura, Hiroaki, A variational perspective on the thermodynamics of non-isothermal reacting open systems, 900-908 [Zbl 1487.80003]Fioresi, Rita; Faglioni, Francesco; Morri, Francesco; Squadrani, Lorenzo, On the thermodynamic interpretation of deep learning systems, 909-917 [Zbl 07495292]Yoshimura, Hiroaki; Gay-Balmaz, François, Dirac structures in thermodynamics of non-simple systems, 918-925 [Zbl 1487.80013] Cited in 2 Reviews MSC: 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 Citations:Zbl 1428.94016 PDFBibTeX XMLCite \textit{F. Nielsen} (ed.) and \textit{F. Barbaresco} (ed.), Geometric science of information. 5th international conference, GSI 2021, Paris, France, July 21--23, 2021. Proceedings. Cham: Springer (2021; Zbl 1482.94007) Full Text: DOI