# Thorsten Hohage

- Publications
- Influence

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**public sources and our publisher partners.**Previously, the convergence analysis for linear statistical inverse problems has mainly focused on spectral cut-off and Tikhonov-type estimators. Spectral cut-off estimators achieve minimax rates for… Expand

The use of parallel imaging for scan time reduction in MRI faces problems with image degradation when using GRAPPA or SENSE for high acceleration factors. Although an inherent loss of SNR in parallel… Expand

Convergence and logarithmic convergence rates of the iteratively regularized Gauss - Newton method in a Hilbert space setting are proven provided a logarithmic source condition is satisfied. This… Expand

Linear and nonlinear inverse problems which are exponentially ill-posed arise in heat conduction, satellite gradiometry, potential theory and scattering theory. For these problems logarithmic source… Expand

This paper is concerned with the scattering of time-harmonic acoustic waves by inhomogeneous media. We study the problem to recover the refractive index from far field measurements and from near… Expand

The numerical performances of Landweber iteration, the Newton-CG method, the Levenberg-Marquardt algorithm, and the iteratively Regularized Gaus-Newton method are compared for a nonlinear, severely… Expand

We examine the scattering of time-harmonic acoustic waves in inhomogeneous media. The problem is to recover a spatially varying refractive index in a three-dimensional medium from far-field… Expand

We consider nonlinear inverse problems described by operator equations F(a) = u. Here a is an element of a Hilbert space H which we want to estimate, and u is an L2-function. The given data consist… Expand

Ultrafast electron and X-ray imaging and spectroscopy are the basis for an ongoing revolution in the understanding of dynamical atomic-scale processes in matter. The underlying technology relies… Expand

We study the inverse problem to reconstruct the shape of a three– dimensional sound–soft obstacle from measurements of scattered acoustic waves. To solve the forward problem we use a wavelet based… Expand