Well-posed Bayesian inverse problems and heavy-tailed stable quasi-Banach space priors

DOI10.3934/ipi.2017040zbMath1368.65085arXiv1605.05898OpenAlexW2404700421MaRDI QIDQ2013863

Yanyan Li

Publication date: 9 August 2017

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.05898

zbMATH Keywords

well-posednessheavy-tailed distributionquasi-Banach spacesuncertainty quantificationBayesian inverse problemsstable distributionKarhunen-Loève expansion

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Nonparametric robustness (62G35) Bayesian inference (62F15) Inverse problems for PDEs (35R30) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Probability theory on linear topological spaces (60B11) Numerical solution to inverse problems in abstract spaces (65J22)

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