Fisher-Rao Riemannian geometry of equivalent Gaussian measures on Hilbert space
From MaRDI portal
Publication:6138146
DOI10.1007/978-3-031-38271-0_41OpenAlexW4385435140MaRDI QIDQ6138146
Publication date: 16 January 2024
Published in: Lecture Notes in Computer Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-031-38271-0_41
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An infinite-dimensional statistical manifold modelled on Hilbert space
- Equivalence and perpendicularity of Gaussian processes
- Statistics on the manifold of multivariate normal distributions: theory and application to diffusion tensor MRI processing
- Exponential statistical manifold
- Notes on infinite determinants of Hilbert space operators
- The exponential statistical manifold: mean parameters, orthogonality and space transformations
- Parametrized measure models
- A infinite-dimensional geometric structure on the space of all the probability measures equivalent to a given one
- Regularized divergences between covariance operators and Gaussian measures on Hilbert spaces
- Information geometry and sufficient statistics
- Nonpositive curvature: A geometrical approach to Hilbert-Schmidt operators
- A Riemannian framework for tensor computing
- The volume of Gaussian states by information geometry
- On a property of normal distributions of any stochastic process
- Direct and Iterative Methods for the Solution of Linear Operator Equations in Hilbert Space
- Connections on Non-Parametric Statistical Manifolds by Orlicz Space Geometry
- Information Geometry
This page was built for publication: Fisher-Rao Riemannian geometry of equivalent Gaussian measures on Hilbert space