1. 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

   

2. Invariance properties of the natural gradient in overparametrised systems

   • Jesse van Oostrum
   • Johannes Müller
   • Nihat Ay

   Research Paper Open access 27 June 2022 Pages: 51 - 67

   

3. Laplacian operator on statistical manifold

   • Ruichao Jiang
   • Javad Tavakoli
   • Yiqiang Zhao

   Research Paper 08 September 2022 Pages: 69 - 79

4. Active learning by query by committee with robust divergences

   • Hideitsu Hino
   • Shinto Eguchi

   Research Paper 21 November 2022 Pages: 81 - 106

   

5. The Fisher–Rao loss for learning under label noise

   • Henrique K. Miyamoto
   • Fábio C. C. Meneghetti
   • Sueli I. R. Costa

   Research Paper 02 December 2022 Pages: 107 - 126

   

6. Information geometry of warped product spaces

   • Yasuaki Fujitani

   Research Paper 16 December 2022 Pages: 127 - 155

7. Coarse geometric kernels for networks embedding

   • Emil Saucan
   • Vladislav Barkanass
   • Jürgen Jost

   Research Paper Open access 26 January 2023 Pages: 157 - 169

   

8. Plücker coordinates of the best-fit Stiefel tropical linear space to a mixture of Gaussian distributions

   • Keiji Miura
   • Ruriko Yoshida

   Research Paper Open access 31 January 2023 Pages: 171 - 201

   

9. Wasserstein information matrix

   • Wuchen Li
   • Jiaxi Zhao

   Research Paper 14 February 2023 Pages: 203 - 255

   

10. Non-negative low-rank approximations for multi-dimensional arrays on statistical manifold

    • Kazu Ghalamkari
    • Mahito Sugiyama

    Research Paper Open access 24 February 2023 Pages: 257 - 292

    

11. The face lattice of the set of reduced density matrices and its coatoms

    • Stephan Weis
    • João Gouveia

    Research Paper 09 March 2023 Pages: 293 - 326

    

12. Power transformations of relative count data as a shrinkage problem

    • Ionas Erb

    Research Paper 13 April 2023 Pages: 327 - 354

    

13. Bregman dynamics, contact transformations and convex optimization

    • Alessandro Bravetti
    • Maria L. Daza-Torres
    • Michael Betancourt

    Research Paper Open access 30 April 2023 Pages: 355 - 377

    

14. Publisher Correction: The Fisher–Rao loss for learning under label noise

    • Henrique K. Miyamoto
    • Fábio C. C. Meneghetti
    • Sueli I. R. Costa

    Publisher Correction 19 December 2022 Pages: 379 - 379

15. Publisher Correction: Coarse geometric kernels for networks embedding

    • Emil Saucan
    • Vladislav Barkanass
    • Jürgen Jost

    Publisher Correction Open access 29 June 2023 Pages: 381 - 381

16. Publisher Correction: Invariance properties of the natural gradient in overparametrised systems

    • Jesse van Oostrum
    • Johannes Müller
    • Nihat Ay

    Publisher Correction Open access 29 June 2023 Pages: 383 - 384