3 papers
stat.CO2026
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…
math.CA2025
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 l…
math.NA2025
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…