A Lecture About the Use of Orlicz Spaces in Information Geometry
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Publication:5021899
DOI10.1007/978-3-030-77957-3_10OpenAlexW3189060813MaRDI QIDQ5021899
Publication date: 14 January 2022
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.03376
Computer science (68-XX) Statistical mechanics, structure of matter (82-XX) Differential geometry (53-XX)
Cites Work
- Examples of the application of nonparametric information geometry to statistical physics
- New results on mixture and exponential models by Orlicz spaces
- Information geometry formalism for the spatially homogeneous Boltzmann equation
- Orlicz spaces and modular spaces
- Information geometry and its applications
- Some geometric calculations on Wasserstein space
- Functional analysis, Sobolev spaces and partial differential equations
- The exponential statistical manifold: mean parameters, orthogonality and space transformations
- Translations in the exponential Orlicz space with Gaussian weight
- A infinite-dimensional geometric structure on the space of all the probability measures equivalent to a given one
- Sobolev statistical manifolds and exponential models
- Information geometry of the Gaussian space
- Robust concentration inequalities in maximal exponential models
- THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
- Normal Approximations with Malliavin Calculus
- Computer Age Statistical Inference
- Connections on Non-Parametric Statistical Manifolds by Orlicz Space Geometry
- Exponential models by Orlicz spaces and applications
- High-Dimensional Statistics
- High-Dimensional Probability
- Information Geometry of the Probability Simplex: A Short Course
- Information Geometry
- Nonparametric Information Geometry
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