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
On a constant curvature statistical manifold Shimpei KobayashiYu Ohno Research Paper 15 February 2022 Pages: 31 - 46
When optimal transport meets information geometry Gabriel KhanJun Zhang Survey Paper 30 June 2022 Pages: 47 - 78
Optimal transportation plans with escort entropy regularization Takashi KuroseShintaro YoshizawaShun-ichi Amari Research Paper 09 November 2021 Pages: 79 - 95
Optimal transport problems regularized by generic convex functions: a geometric and algorithmic approach Daiji Tsutsui Research Paper 25 November 2021 Pages: 97 - 130
Pseudo-Riemannian geometry encodes information geometry in optimal transport Ting-Kam Leonard WongJiaowen Yang Research Paper Open access 30 July 2021 Pages: 131 - 159
Transport information geometry: Riemannian calculus on probability simplex Wuchen Li Research Paper 08 November 2021 Pages: 161 - 207
Kantorovich distance on finite metric spaces: Arens–Eells norm and CUT norms Luigi MontrucchioGiovanni Pistone Research Paper 01 July 2021 Pages: 209 - 245
Tropical optimal transport and Wasserstein distances Wonjun LeeWuchen LiAnthea Monod Research Paper Open access 07 June 2021 Pages: 247 - 287
Entropy-regularized 2-Wasserstein distance between Gaussian measures Anton MallastoAugusto GerolinHà Quang Minh Research Paper Open access 16 August 2021 Pages: 289 - 323
Coordinate-wise transformation of probability distributions to achieve a Stein-type identity Tomonari Sei Research Paper Open access 28 June 2021 Pages: 325 - 354