Fisher–Rao geometry of equivalent Gaussian measures on infinite-dimensional Hilbert spaces Hà Quang Minh Research 05 June 2024
A historical perspective on Schützenberger-Pinsker inequalities (extended version) Olivier Rioul Research 30 May 2024
Codivergences and information matrices Alexis DerumignyJohannes Schmidt-Hieber Research Paper Open access 22 May 2024 Pages: 253 - 282
Infinite-dimensional distances and divergences between positive definite operators, Gaussian measures, and Gaussian processes Hà Quang Minh Survey Paper 21 May 2024
A harmonic property of right invariant priors Tomonari SeiFumiyasu Komaki Research Paper Open access 30 April 2024
Publisher Correction: Variational representations of annealing paths: Bregman information under monotonic embedding Rob BrekelmansFrank Nielsen Publisher Correction 26 February 2024 Pages: 283 - 283
Variational representations of annealing paths: Bregman information under monotonic embedding Rob BrekelmansFrank Nielsen Research Paper 02 February 2024 Pages: 193 - 228
On the complete integrability of gradient systems on manifold of the beta family of the first kind Prosper Rosaire Mama AssandjeJoseph DonghoThomas Bouetou Bouetou Research Paper 29 January 2024 Pages: 167 - 191
Information geometry of dynamics on graphs and hypergraphs Tetsuya J. KobayashiDimitri LoutchkoYuki Sughiyama Research Paper Open access 22 December 2023 Pages: 97 - 166
The Fisher metric as a metric on the cotangent bundle Hiroshi Nagaoka Research Paper Open access 21 December 2023 Pages: 651 - 677
Half a century of information geometry, part 1 Hiroshi Matsuzoe Preface 21 December 2023 Pages: 3 - 8
Foreword: Half a Century of Information Geometry Shun-ichi Amari Editorial 21 December 2023 Pages: 1 - 2
Correction: Geometric thermodynamics for the Fokker–Planck equation: stochastic thermodynamic links between information geometry and optimal transport Sosuke Ito Correction Open access 29 November 2023 Pages: 679 - 683
Diffusion hypercontractivity via generalized density manifold Wuchen Li Research Paper 27 November 2023 Pages: 59 - 95
The generalized Pythagorean theorem on the compactifications of certain dually flat spaces via toric geometry Hajime Fujita Research Paper 24 November 2023 Pages: 33 - 58
Estimation with infinite-dimensional exponential family and Fisher divergence Kenji Fukumizu Research Paper Open access 13 November 2023 Pages: 609 - 622
Legendre duality: from thermodynamics to information geometry Jan NaudtsJun Zhang Survey Paper 08 November 2023 Pages: 623 - 649
On the geometric mechanics of assignment flows for metric data labeling Fabrizio SavarinoPeter AlbersChristoph Schnörr Research Paper Open access 03 November 2023 Pages: 1 - 31
Conelike radiant structures Daniel J. F. Fox Research Paper Open access 04 October 2023 Pages: 463 - 595
G-dual Teleparallel Connections in Information Geometry F. M. CiagliaF. Di CosmoG. Marmo Research Paper Open access 25 August 2023 Pages: 587 - 608
Publisher Correction: Object embedding using an information geometrical perspective Taiki SugiuraNoboru Murata Publisher Correction Open access 24 August 2023 Pages: 597 - 598
Doubly autoparallel structure and curvature integrals Atsumi OharaHideyuki IshiTakashi Tsuchiya Research Paper Open access 27 July 2023 Pages: 555 - 586
Object embedding using an information geometrical perspective Taiki SugiuraNoboru Murata Research Paper Open access 27 July 2023 Pages: 435 - 462
Publisher Correction: Invariance properties of the natural gradient in overparametrised systems Jesse van OostrumJohannes MüllerNihat Ay Publisher Correction Open access 29 June 2023 Pages: 383 - 384
Publisher Correction: Coarse geometric kernels for networks embedding Emil SaucanVladislav BarkanassJürgen Jost Publisher Correction Open access 29 June 2023 Pages: 381 - 381
A certain ODE-system defining the geometric divergence Takashi Kurose Research Paper 05 June 2023 Pages: 541 - 554
Optimal projection filters with information geometry John ArmstrongDamiano BrigoBernard Hanzon Survey Paper Open access 02 June 2023 Pages: 525 - 540
Geometry and convergence of natural policy gradient methods Johannes MüllerGuido Montúfar Research Paper Open access 02 June 2023 Pages: 485 - 523
Differential geometry for the optimal design of the contingent valuation method Hisatoshi Tanaka Research Paper Open access 31 May 2023 Pages: 413 - 433
Anomaly detection in the probability simplex under different geometries Uriel LegariaSergio MotaAntonio Neme Research Paper Open access 30 May 2023 Pages: 385 - 412
Bregman dynamics, contact transformations and convex optimization Alessandro BravettiMaria L. Daza-TorresMichael Betancourt Research Paper Open access 30 April 2023 Pages: 355 - 377
Power transformations of relative count data as a shrinkage problem Ionas Erb Research Paper 13 April 2023 Pages: 327 - 354
Geometric thermodynamics for the Fokker–Planck equation: stochastic thermodynamic links between information geometry and optimal transport Sosuke Ito Research Paper Open access 09 March 2023 Pages: 441 - 483
The face lattice of the set of reduced density matrices and its coatoms Stephan WeisJoão Gouveia Research Paper 09 March 2023 Pages: 293 - 326
A parameterisation-invariant modification of the score test P. E. Jupp Research Paper Open access 07 March 2023 Pages: 429 - 439
Non-negative low-rank approximations for multi-dimensional arrays on statistical manifold Kazu GhalamkariMahito Sugiyama Research Paper Open access 24 February 2023 Pages: 257 - 292
Projections of SDEs onto submanifolds John ArmstrongDamiano BrigoEmilio Ferrucci Research Paper Open access 02 February 2023 Pages: 397 - 427
Plücker coordinates of the best-fit Stiefel tropical linear space to a mixture of Gaussian distributions Keiji MiuraRuriko Yoshida Research Paper Open access 31 January 2023 Pages: 171 - 201
Coarse geometric kernels for networks embedding Emil SaucanVladislav BarkanassJürgen Jost Research Paper Open access 26 January 2023 Pages: 157 - 169
The exponential Orlicz space in quantum information geometry Anna Jenčová Research Paper 24 January 2023 Pages: 377 - 395
Gram matrices of quantum channels via quantum Fisher information with applications to decoherence and uncertainty Shunlong LuoYuan Sun Research Paper 22 January 2023 Pages: 355 - 376
Parametric models and information geometry on W*-algebras F. M. CiagliaF. Di NoceraL. Schwachhöfer Research Paper Open access 12 January 2023 Pages: 329 - 354
Publisher Correction: The Fisher–Rao loss for learning under label noise Henrique K. MiyamotoFábio C. C. MeneghettiSueli I. R. Costa Publisher Correction 19 December 2022 Pages: 379 - 379
Information geometry of warped product spaces Yasuaki Fujitani Research Paper 16 December 2022 Pages: 127 - 155
Conformal mirror descent with logarithmic divergences Amanjit Singh KainthTing-Kam Leonard WongFrank Rudzicz Research Paper Open access 14 December 2022 Pages: 303 - 327
Uncertainty and Quantum Variance at the light of Quantum Information Geometry Paolo Gibilisco Perspective 14 December 2022 Pages: 293 - 302