3 papers
math.NA2018
Upper and lower bounds for the Bregman divergence
Benjamin Sprung
In this paper we study upper and lower bounds on the Bregman divergence for some convex functional $\…
math.NA2018
Optimal Convergence Rates for Tikhonov Regularization in Besov Spaces
Frederic Weidling, Benjamin Sprung, Thorsten Hohage
This paper deals with Tikhonov regularization for linear and nonlinear ill-posed operator equations with wavelet Besov norm penalties. We show order optimal rates of convergence fo…
math.NA2017
Higher order convergence rates for Bregman iterated variational regularization of inverse problems
Benjamin Sprung, Thorsten Hohage
We study the convergence of variationally regularized solutions to linear ill-posed operator equations in Banach spaces as the noise in the right hand side tends to . The rate o…