This paper is concerned with the classical inverse scattering problem to recover the
refractive index of a medium given near or far field measurements of scattered time …

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 …

This paper deals with Tikhonov regularization for linear and nonlinear ill-posed operator
equations with wavelet Besov norm penalties. We focus on penalty terms which yield …

Abstract We propose a Levenberg–Marquardt method with general uniformly convex
regularization terms to solve nonlinear inverse problems in Banach spaces, which is an …

This paper is concerned with exponentially ill-posed operator equations with additive
impulsive noise on the right-hand side, ie, the noise is large on a small part of the domain …

We interpret steady linear statistical inverse problems as artificial dynamic systems with
white noise and introduce a stochastic differential equation system where the inverse of the …

This paper investigates the construction, analysis and implementation of a novel iterative
regularization scheme with general convex penalty term for nonlinear inverse problems in …

Adaptive minimax optimality in statistical inverse problems via SOLIT—Sharp Optimal
Lepskiĭ-Inspired Tuning - IOPscience This site uses cookies. By continuing to use this site you …

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 0. The rate of this …

In this paper we study the inverse problem of identifying the diffusion matrix in an elliptic
PDE from measurements. The convex energy functional method with Tikhonov …