5 citations · 7 across the 4 of their papers we have counts for
4 papers
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…
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…
Besov regularity of random wavelet series
Andreas Horst, Thomas Jahn, Felix Voigtlaender
We study the Besov regularity of wavelet series on with randomly chosen coefficients. More precisely, each coefficient is a product of a random factor and a paramete…
On the non-frame property of Gabor systems with Hermite generators and the frame set conjecture
Andreas Horst, Jakob Lemvig, Allan Erlang Videbaek
The frame set conjecture for Hermite functions formulated in [Gröchenig, J. Fourier Anal. Appl., 20(4):865-895, 2014] states that the Gabor frame set for these generators is the la…