Bayesian linear inverse problems in regularity scales

DOI10.1214/19-AIHP1029zbMath1460.62059arXiv1802.08992OpenAlexW3098914611MaRDI QIDQ2227478

Dong Yan, Shota Gugushvili, Aad W. van der Vaart

Publication date: 15 February 2021

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.08992

zbMATH Keywords

white noiseadaptive estimationlinear inverse problemposterior contraction rateGaussian priornonparametric Bayesian estimationHilbert scaleregularity scalerandom series prior

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Inverse problems for PDEs (35R30) White noise theory (60H40)

Related Items

Designing truncated priors for direct and inverse Bayesian problems, Bayesian inversion techniques for stochastic partial differential equations, Convergence Rates for Learning Linear Operators from Noisy Data, Inverse learning in Hilbert scales, Nonlinear Tikhonov regularization in Hilbert scales for inverse learning, Statistical guarantees for Bayesian uncertainty quantification in nonlinear inverse problems with Gaussian process priors

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