Cauchy difference priors for edge-preserving Bayesian inversion

DOI10.1515/jiip-2017-0048zbMath1417.49049OpenAlexW2914997959MaRDI QIDQ2422503

Markku Markkanen, Sari Lasanen, Lassi Roininen, Janne M. J. Huttunen

Publication date: 19 June 2019

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2017-0048

zbMATH Keywords

Cauchy distributionX-ray tomographya priori informationBayesian statistical inverse problemsLévy \(\alpha\)-stable motion

Mathematics Subject Classification ID

Computational methods in Markov chains (60J22) Bayesian inference (62F15) Generalized stochastic processes (60G20) Inverse problems in optimal control (49N45)

Related Items

Cauchy Markov random field priors for Bayesian inversion ⋮ Prior normalization for certified likelihood-informed subspace detection of Bayesian inverse problems ⋮ Sparse Online Variational Bayesian Regression ⋮ A Hybrid Gibbs Sampler for Edge-Preserving Tomographic Reconstruction with Uncertain View Angles ⋮ Bayesian neural network priors for edge-preserving inversion ⋮ Uncertainty Quantification of Inclusion Boundaries in the Context of X-Ray Tomography ⋮ A Bayesian-based approach to improving acoustic Born waveform inversion of seismic data for viscoelastic media ⋮ Hyperpriors for Matérn fields with applications in Bayesian inversion ⋮ Solving inverse problems using data-driven models ⋮ Γ-convergence of Onsager–Machlup functionals: II. Infinite product measures on Banach spaces

Uses Software

• BayesDA

Cites Work

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