An Order-Theoretic Perspective on Modes and Maximum A Posteriori Estimation in Bayesian Inverse Problems
From MaRDI portal
Publication:6188689
DOI10.1137/22m154243xarXiv2209.11517OpenAlexW4387816601MaRDI QIDQ6188689
No author found.
Publication date: 11 January 2024
Published in: SIAM/ASA Journal on Uncertainty Quantification (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.11517
maximum a posteriori estimationBayesian inverse problemsmodes of probability measureslocal behavior of measuresorders on metric spaces
Probability measures on topological spaces (60B05) Point estimation (62F10) Length, area, volume, other geometric measure theory (28A75) Ordered structures (06F99) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15) Statistics on metric spaces (62R20)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Besov priors for Bayesian inverse problems
- Non-Gaussian statistical inverse problems. Part I: Posterior distributions
- Nonlinear potential theory on metric spaces
- The Onsager-Machlup function as Lagrangian for the most probable path of a diffusion process
- Number theory IV: Transcendental numbers. Transl. from the Russian by N. Koblitz
- Statistical and computational inverse problems.
- Well-posed Bayesian inverse problems and heavy-tailed stable quasi-Banach space priors
- Discretization-invariant Bayesian inversion and Besov space priors
- Choice structures and preference relations
- Inverse problems: A Bayesian perspective
- Maximuma posterioriprobability estimates in infinite-dimensional Bayesian inverse problems
- Conditioning as disintegration
- Sparsity-promoting and edge-preserving maximum a posteriori estimators in non-parametric Bayesian inverse problems
- Advanced Functional Analysis
- Minimum action method for the study of rare events
- Erratum: Equivalence of weak and strong modes of measures on topological vector spaces (2018 Inverse Problems 34 115013)
- Γ -convergence of Onsager–Machlup functionals: I. With applications to maximum a posteriori estimation in Bayesian inverse problems
- Γ-convergence of Onsager–Machlup functionals: II. Infinite product measures on Banach spaces
- Generalized Modes in Bayesian Inverse Problems
- MAP estimators and their consistency in Bayesian nonparametric inverse problems
- Maximum a posteriori estimators in ℓp are well-defined for diagonal Gaussian priors
