1 citations · 1 across the 1 of their papers we have counts for
4 papers
Bayesian decomposition using Besov priors
Andreas Horst, Babak Maboudi Afkham, Yiqiu Dong +1
In many inverse problems, the unknown is composed of multiple components with different regularities, for example, in imaging problems, where the unknown can have both rough and sm…
Dual-grid parameter choice method with application to image deblurring
Markus Juvonen, Bjørn Jensen, Ilmari Pohjola +2
Variational regularization of ill-posed inverse problems is based on minimizing the sum of a data fidelity term and a regularization term. The balance between them is tuned using a…
Sparsity via Hyperpriors: A Theoretical and Algorithmic Study under Empirical Bayes Framework
Zhitao Li, Yiqiu Dong, Xueying Zeng
This paper presents a comprehensive analysis of hyperparameter estimation within the empirical Bayes framework (EBF) for sparse learning. By studying the influence of hyperpriors o…
Uncertainty Quantification for Linear Inverse Problems with Besov Prior: A Randomize-Then-Optimize Method
Andreas Horst, Babak Maboudi Afkham, Yiqiu Dong +1
In this work, we investigate the use of Besov priors in the context of Bayesian inverse problems. The solution to Bayesian inverse problems is the posterior distribution which natu…