Natural differentiable structures on statistical models and the Fisher metric Hông Vân Lê Survey Paper 13 December 2022 Pages: 271 - 291
Hierarchy of deformations in concavity Kazuhiro IshigePaolo SalaniAsuka Takatsu Research Paper 12 December 2022 Pages: 251 - 269
Minimum information divergence of Q-functions for dynamic treatment resumes Shinto Eguchi Research Paper 09 December 2022 Pages: 229 - 249
Recent advances in algebraic geometry and Bayesian statistics Sumio Watanabe Survey Paper 06 December 2022 Pages: 187 - 209
A two-parameter family of non-parametric, deformed exponential manifolds Nigel J. Newton Research Paper Open access 06 December 2022 Pages: 171 - 186
Generalized estimators, slope, efficiency, and fisher information bounds Paul Vos Research Paper 04 December 2022 Pages: 151 - 170
The Fisher–Rao loss for learning under label noise Henrique K. MiyamotoFábio C. C. MeneghettiSueli I. R. Costa Research Paper 02 December 2022 Pages: 107 - 126
Conditional inference of Poisson models and information geometry: an ancillary review Tomonari Sei Survey Paper Open access 27 November 2022 Pages: 131 - 150
Affine statistical bundle modeled on a Gaussian Orlicz–Sobolev space Giovanni Pistone Survey Paper 24 November 2022 Pages: 109 - 130
Toward differential geometry of statistical submanifolds Hitoshi Furuhata Perspective 22 November 2022 Pages: 99 - 108
Active learning by query by committee with robust divergences Hideitsu HinoShinto Eguchi Research Paper 21 November 2022 Pages: 81 - 106
Geometry of EM and related iterative algorithms Hideitsu HinoShotaro AkahoNoboru Murata Survey Paper 19 November 2022 Pages: 39 - 77
One-dimensional exponential families with constant Hessian sectional curvature Mathieu Molitor Research Paper 27 October 2022 Pages: 511 - 530
Independent component analysis in the light of Information Geometry Jean-François Cardoso Perspective 24 October 2022 Pages: 29 - 38
A method to construct exponential families by representation theory Koichi TojoTaro Yoshino Research Paper 23 October 2022 Pages: 493 - 510
The information geometry of two-field functional integrals Eric Smith Research Paper Open access 19 October 2022 Pages: 427 - 492
Bures–Wasserstein geometry for positive-definite Hermitian matrices and their trace-one subset Jesse van Oostrum Research Paper Open access 22 September 2022 Pages: 405 - 425
Laplacian operator on statistical manifold Ruichao JiangJavad TavakoliYiqiang Zhao Research Paper 08 September 2022 Pages: 69 - 79
When optimal transport meets information geometry Gabriel KhanJun Zhang Survey Paper 30 June 2022 Pages: 47 - 78
On partial likelihood and the construction of factorisable transformations H. S. BatteyD. R. CoxSu Hyeong Lee Research Paper Open access 28 June 2022 Pages: 9 - 28
Invariance properties of the natural gradient in overparametrised systems Jesse van OostrumJohannes MüllerNihat Ay Research Paper Open access 27 June 2022 Pages: 51 - 67
On a constant curvature statistical manifold Shimpei KobayashiYu Ohno Research Paper 15 February 2022 Pages: 31 - 46
Exponential arcs in the manifold of vector states on a \(\sigma \)-finite von Neumann algebra Jan Naudts Research Paper 05 January 2022 Pages: 1 - 30
Optimal transport problems regularized by generic convex functions: a geometric and algorithmic approach Daiji Tsutsui Research Paper 25 November 2021 Pages: 97 - 130
Information Geometry of Reversible Markov Chains Geoffrey WolferShun Watanabe Research Paper Open access 22 November 2021 Pages: 393 - 433
Assignment flows for data labeling on graphs: convergence and stability Artjom ZernAlexander ZeilmannChristoph Schnörr Research Paper Open access 18 November 2021 Pages: 355 - 404
Optimal transportation plans with escort entropy regularization Takashi KuroseShintaro YoshizawaShun-ichi Amari Research Paper 09 November 2021 Pages: 79 - 95
Transport information geometry: Riemannian calculus on probability simplex Wuchen Li Research Paper 08 November 2021 Pages: 161 - 207
The Banach manifold of measures and the Lagrange multipliers of statistical mechanics S. DostoglouA. M. Hughes Research Paper 03 November 2021 Pages: 377 - 391
The Bonnet theorem for statistical manifolds Taiji Marugame Research Paper 29 September 2021 Pages: 363 - 376
Riemannian barycentres of Gibbs distributions: new results on concentration and convexity in compact symmetric spaces Salem SaidJonathan H. Manton Research Paper 01 September 2021 Pages: 329 - 362
Entropy-regularized 2-Wasserstein distance between Gaussian measures Anton MallastoAugusto GerolinHà Quang Minh Research Paper Open access 16 August 2021 Pages: 289 - 323
Pseudo-Riemannian geometry encodes information geometry in optimal transport Ting-Kam Leonard WongJiaowen Yang Research Paper Open access 30 July 2021 Pages: 131 - 159
Kantorovich distance on finite metric spaces: Arens–Eells norm and CUT norms Luigi MontrucchioGiovanni Pistone Research Paper 01 July 2021 Pages: 209 - 245
Coordinate-wise transformation of probability distributions to achieve a Stein-type identity Tomonari Sei Research Paper Open access 28 June 2021 Pages: 325 - 354
Information geometry and asymptotic geodesics on the space of normal distributions Wolfgang GlobkeRaul Quiroga-Barranco Research Paper 25 June 2021 Pages: 131 - 153
Towards a canonical divergence within information geometry Domenico FeliceNihat Ay Research Paper 22 June 2021 Pages: 65 - 130
Tropical optimal transport and Wasserstein distances Wonjun LeeWuchen LiAnthea Monod Research Paper Open access 07 June 2021 Pages: 247 - 287
Publisher Correction to: Natural alpha embeddings Riccardo VolpiLuigi Malagò Publisher Correction 15 May 2021 Pages: 311 - 311
The dually flat structure for singular models Naomichi NakajimaToru Ohmoto Research Paper 23 March 2021 Pages: 31 - 64
Koszul lecture related to geometric and analytic mechanics, Souriau’s Lie group thermodynamics and information geometry Frédéric Barbaresco Survey Paper 13 January 2021 Pages: 245 - 262
Special Issue “Affine differential geometry and Hesse geometry: a tribute and memorial to Jean–Louis Koszul” Hideyuki Ishi Preface 07 January 2021 Pages: 155 - 157
On the locality of the natural gradient for learning in deep Bayesian networks Nihat Ay Research Paper Open access 24 November 2020 Pages: 1 - 49