1. Foreword: Half a Century of Information Geometry

   • Shun-ichi Amari

   Editorial 21 December 2023 Pages: 1 - 2

2. Half a century of information geometry, part 1

   • Hiroshi Matsuzoe

   Preface 21 December 2023 Pages: 3 - 8

3. On partial likelihood and the construction of factorisable transformations

   • H. S. Battey
   • D. R. Cox
   • Su Hyeong Lee

   Research Paper Open access 28 June 2022 Pages: 9 - 28

   

4. Independent component analysis in the light of Information Geometry

   • Jean-François Cardoso

   Perspective 24 October 2022 Pages: 29 - 38

   

5. Geometry of EM and related iterative algorithms

   • Hideitsu Hino
   • Shotaro Akaho
   • Noboru Murata

   Survey Paper 19 November 2022 Pages: 39 - 77

   

6. Hommage to Chentsov’s theorem

   • Akio Fujiwara

   Survey Paper Open access 21 November 2022 Pages: 79 - 98

   

7. Toward differential geometry of statistical submanifolds

   • Hitoshi Furuhata

   Perspective 22 November 2022 Pages: 99 - 108

8. Affine statistical bundle modeled on a Gaussian Orlicz–Sobolev space

   • Giovanni Pistone

   Survey Paper 24 November 2022 Pages: 109 - 130

9. Conditional inference of Poisson models and information geometry: an ancillary review

   • Tomonari Sei

   Survey Paper Open access 27 November 2022 Pages: 131 - 150

10. Generalized estimators, slope, efficiency, and fisher information bounds

    • Paul Vos

    Research Paper 04 December 2022 Pages: 151 - 170

    

11. A two-parameter family of non-parametric, deformed exponential manifolds

    • Nigel J. Newton

    Research Paper Open access 06 December 2022 Pages: 171 - 186

12. Recent advances in algebraic geometry and Bayesian statistics

    • Sumio Watanabe

    Survey Paper 06 December 2022 Pages: 187 - 209

13. Geometry and applied statistics

    • Paul Marriott

    Survey Paper 06 December 2022 Pages: 211 - 227

    

14. Minimum information divergence of Q-functions for dynamic treatment resumes

    • Shinto Eguchi

    Research Paper 09 December 2022 Pages: 229 - 249

15. Hierarchy of deformations in concavity

    • Kazuhiro Ishige
    • Paolo Salani
    • Asuka Takatsu

    Research Paper 12 December 2022 Pages: 251 - 269

16. Natural differentiable structures on statistical models and the Fisher metric

    • Hông Vân Lê

    Survey Paper 13 December 2022 Pages: 271 - 291

17. Uncertainty and Quantum Variance at the light of Quantum Information Geometry

    • Paolo Gibilisco

    Perspective 14 December 2022 Pages: 293 - 302

18. Conformal mirror descent with logarithmic divergences

    • Amanjit Singh Kainth
    • Ting-Kam Leonard Wong
    • Frank Rudzicz

    Research Paper Open access 14 December 2022 Pages: 303 - 327

    

19. Parametric models and information geometry on W*-algebras

    • F. M. Ciaglia
    • F. Di Nocera
    • L. Schwachhöfer

    Research Paper Open access 12 January 2023 Pages: 329 - 354

20. Gram matrices of quantum channels via quantum Fisher information with applications to decoherence and uncertainty

    • Shunlong Luo
    • Yuan Sun

    Research Paper 22 January 2023 Pages: 355 - 376

21. The exponential Orlicz space in quantum information geometry

    • Anna Jenčová

    Research Paper 24 January 2023 Pages: 377 - 395

22. Projections of SDEs onto submanifolds

    • John Armstrong
    • Damiano Brigo
    • Emilio Ferrucci

    Research Paper Open access 02 February 2023 Pages: 397 - 427

    

23. A parameterisation-invariant modification of the score test

    • P. E. Jupp

    Research Paper Open access 07 March 2023 Pages: 429 - 439

24. 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

25. Geometry and convergence of natural policy gradient methods

    • Johannes Müller
    • Guido Montúfar

    Research Paper Open access 02 June 2023 Pages: 485 - 523

    

26. Optimal projection filters with information geometry

    • John Armstrong
    • Damiano Brigo
    • Bernard Hanzon

    Survey Paper Open access 02 June 2023 Pages: 525 - 540

27. A certain ODE-system defining the geometric divergence

    • Takashi Kurose

    Research Paper 05 June 2023 Pages: 541 - 554

28. Doubly autoparallel structure and curvature integrals

    • Atsumi Ohara
    • Hideyuki Ishi
    • Takashi Tsuchiya

    Research Paper Open access 27 July 2023 Pages: 555 - 586

    

29. G-dual Teleparallel Connections in Information Geometry

    • F. M. Ciaglia
    • F. Di Cosmo
    • G. Marmo

    Research Paper Open access 25 August 2023 Pages: 587 - 608

30. Estimation with infinite-dimensional exponential family and Fisher divergence

    • Kenji Fukumizu

    Research Paper Open access 13 November 2023 Pages: 609 - 622

31. Legendre duality: from thermodynamics to information geometry

    • Jan Naudts
    • Jun Zhang

    Survey Paper 08 November 2023 Pages: 623 - 649

32. The Fisher metric as a metric on the cotangent bundle

    • Hiroshi Nagaoka

    Research Paper Open access 21 December 2023 Pages: 651 - 677

33. 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