Weak and TV consistency in Bayesian uncertainty quantification using disintegration

DOI10.1007/s40590-021-00317-3zbMath1465.62026OpenAlexW3129342245MaRDI QIDQ2024045

J. Andres Christen, José Luis Pérez Garmendia

Publication date: 3 May 2021

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-021-00317-3

zbMATH Keywords

weak convergenceinverse problemsdisintegrationBayesian inferencetotal variation (TV)discretization consistency

Mathematics Subject Classification ID

Bayesian problems; characterization of Bayes procedures (62C10) Foundations and philosophical topics in statistics (62A01) Inverse problems for PDEs (35R30) Axioms; other general questions in probability (60A05)

Related Items (2)

Disentangling the role of virus infectiousness and awareness-based human behavior during the early phase of the COVID-19 pandemic in the European Union ⋮ Error control of the numerical posterior with Bayes factors in Bayesian uncertainty quantification

Uses Software

• t-walk
• Rtwalk

Cites Work

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• Reversible jump Markov chain Monte Carlo computation and Bayesian model determination
• A categorical foundation for Bayesian probability
• Effective parameter dimension via Bayesian model selection in the inverse acoustic scattering problem
• Statistical and computational inverse problems.
• Convergence rates of posterior distributions.
• Rates of convergence of posterior distributions.
• Bayesian nonparametrics
• Towards uncertainty quantification and inference in the stochastic SIR epidemic model
• Bayesian calibration, validation and uncertainty quantification for predictive modelling of tumour growth: a tutorial
• Bayesian Poisson process partition calculus with an application to Bayesian Lévy moving averages
• Flexible paleoclimate age-depth models using an autoregressive gamma process
• A general purpose sampling algorithm for continuous distributions (the t-walk)
• Inverse problems: A Bayesian perspective
• Sparsity-promoting Bayesian inversion
• Conditioning as disintegration
• On the rate of convergence of series of banach space valued random elements
• Can one use total variation prior for edge-preserving Bayesian inversion?
• On Choosing and Bounding Probability Metrics
• Bayesian deconvolution of oil well test data using Gaussian processes
• Bayesian Parameter Identification in Cahn--Hilliard Models for Biological Growth
• Prediction Uncertainties beyond the Range of Experience: A Case Study in Inertial Confinement Fusion Implosion Experiments
• Disintegration and Bayesian inversion via string diagrams
• Bayesian Probabilistic Numerical Methods
• Well-Posed Bayesian Inverse Problems: Priors with Exponential Tails
• Quasi-Monte Carlo and Multilevel Monte Carlo Methods for Computing Posterior Expectations in Elliptic Inverse Problems
• A Computational Framework for Infinite-Dimensional Bayesian Inverse Problems Part I: The Linearized Case, with Application to Global Seismic Inversion
• Measurability of Functions in Product Spaces
• Fundamentals of Nonparametric Bayesian Inference
• Stop using `subjective' to refer to Bayesian analyses (Comment on articles by Berger and by Goldstein)

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