Wasserstein information matrix
DOI10.1007/s41884-023-00099-9zbMath1521.94014arXiv1910.11248OpenAlexW2982108569MaRDI QIDQ6170229
Publication date: 12 July 2023
Published in: Information Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.11248
Wasserstein information matrixPoincaré efficiencyWasserstein online efficiencyWasserstein score functionWasserstein-Cramer-Rao inequality
Multivariate distribution of statistics (62H10) Point estimation (62F10) Nonconvex programming, global optimization (90C26) Random matrices (algebraic aspects) (15B52) Measures of information, entropy (94A17) Information theory (general) (94A15) Optimal transportation (49Q22)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Some geometric calculations on Wasserstein space
- Differential-geometrical methods in statistics.
- Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality
- Logarithmic divergences from optimal transport and Rényi geometry
- Natural gradient via optimal transport
- Online natural gradient as a Kalman filter
- Optimal transport natural gradient for statistical manifolds with continuous sample space
- Ricci curvature for parametric statistics via optimal transport
- Wasserstein statistics in one-dimensional location scale models
- Wasserstein proximal of GANs
- Transport information geometry: Riemannian calculus on probability simplex
- A formalization of the natural gradient method for general similarity measures
- Affine natural proximal learning
- Parametric Fokker-Planck equation
- THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
- The Density Manifold and Configuration Space Quantization
- Wasserstein covariance for multiple random densities
- On parameter estimation with the Wasserstein distance
- deBruijn identities: From Shannon, Kullback-Leibler and Fisher to generalized φ-entropies, φ-divergences and φ-Fisher informations
- Information Geometry
- Elements of Information Theory
- Optimal Transport
This page was built for publication: Wasserstein information matrix