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05/31/2023
Bayesian design of measurements for magnetorelaxometry imaging
The aim of magnetorelaxometry imaging is to determine the distribution o...
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03/02/2023
Bayesian Posterior Perturbation Analysis with Integral Probability Metrics
In recent years, Bayesian inference in large-scale inverse problems foun...
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02/09/2023
Introduction To Gaussian Process Regression In Bayesian Inverse Problems, With New ResultsOn Experimental Design For Weighted Error Measures
Bayesian posterior distributions arising in modern applications, includi...
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11/22/2022
Least squares approximations in linear statistical inverse learning problems
Statistical inverse learning aims at recovering an unknown function f fr...
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11/08/2022
Stability estimates for the expected utility in Bayesian optimal experimental design
We study stability properties of the expected utility function in Bayesi...
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04/01/2021
Edge-promoting adaptive Bayesian experimental design for X-ray imaging
This work considers sequential edge-promoting Bayesian experimental desi...
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02/18/2021
Convex regularization in statistical inverse learning problems
We consider a statistical inverse learning problem, where the task is to...
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12/11/2020
Non-asymptotic error estimates for the Laplace approximation in Bayesian inverse problems
In this paper we study properties of the Laplace approximation of the po...
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06/22/2020
Sequentially optimized projections in X-ray imaging
This work applies Bayesian experimental design to selecting optimal proj...
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05/10/2019
Hyperparameter Estimation in Bayesian MAP Estimation: Parameterizations and Consistency
The Bayesian formulation of inverse problems is attractive for three pri...
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11/29/2018
Rates of contraction of posterior distributions based on p-exponential priors
We consider a family of infinite dimensional product measures with tails...
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06/01/2018