Random tree Besov priors -- towards fractal imaging

DOI10.3934/ipi.2022059OpenAlexW3135039438MaRDI QIDQ2697377

Eero Saksman, Matti Lassas, Hanne Kekkonen, Samuli Siltanen

Publication date: 18 April 2023

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

Full work available at URL: https://arxiv.org/abs/2103.00574

zbMATH Keywords

wavelets inverse problem fractals Bayesian inversion statistical inversion Besov priors discretisation invariance

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Probabilistic models, generic numerical methods in probability and statistics (65C20) Fractals (28A80) Statistical distribution theory (62Exx)

Related Items (2)

Laplace priors and spatial inhomogeneity in Bayesian inverse problems ⋮ Besov-Laplace priors in density estimation: optimal posterior contraction rates and adaptation

Cites Work

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Besov priors for Bayesian inverse problems
Parallel cartoons of fractal models of finance
The inescapable need for fractal tools in finance
Asymptotic equivalence for nonparametric regression with multivariate and random design
Function spaces and wavelets on domains
Pólya tree posterior distributions on densities
Rates of contraction of posterior distributions based on \(p\)-exponential priors
Spike and slab Pólya tree posterior densities: adaptive inference
Nonparametric Bayesian inference for reversible multidimensional diffusions
Discretization-invariant Bayesian inversion and Besov space priors
On infinite-dimensional hierarchical probability models in statistical inverse problems
Extreme at-the-money skew in a local volatility model
Adaptive wavelet thresholding for image denoising and compression
Inverse problems: A Bayesian perspective
Fractal Physiology and Chaos in Medicine
Random Recursive Constructions: Asymptotic Geometric and Topological Properties
Hierarchical models in statistical inverse problems and the Mumford–Shah functional
A Gaussian hypermodel to recover blocky objects
Hypermodels in the Bayesian imaging framework
Wavelet Thresholding via A Bayesian Approach
Ideal spatial adaptation by wavelet shrinkage
Nonlinear wavelet image processing: variational problems, compression, and noise removal through wavelet shrinkage
An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
Can one use total variation prior for edge-preserving Bayesian inversion?
Linear inverse problems for generalised random variables
Markov Chain Monte Carlo Methods for High Dimensional Inversion in Remote Sensing
Global Uniqueness in the Impedance-Imaging Problem for Less Regular Conductivities
Theory of Function Spaces IV
A THRESHOLD MODEL FOR LOCAL VOLATILITY: EVIDENCE OF LEVERAGE AND MEAN REVERSION EFFECTS ON HISTORICAL DATA
MAP estimators and their consistency in Bayesian nonparametric inverse problems
Noise reduction by wavelet thresholding
On Hausdorff dimension of random fractals

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