3 papers
stat.ME2013
Multiscale Change-Point Inference
Klaus Frick, Axel Munk, Hannes Sieling
We introduce a new estimator SMUCE (simultaneous multiscale change-point estimator) for the change-point problem in exponential family regression. An unknown step function is estim…
stat.AP2012
Statistical Multiresolution Estimation for Variational Imaging: With an Application in Poisson-Biophotonics
Klaus Frick, Philipp Marnitz, Axel Munk
In this paper we present a spatially-adaptive method for image reconstruction that is based on the concept of statistical multiresolution estimation as introduced in [Frick K, Marn…
math.NA2012
Regularization of Linear Ill-posed Problems by the Augmented Lagrangian Method and Variational Inequalities
Klaus Frick, Markus Grasmair
We study the application of the Augmented Lagrangian Method to the solution of linear ill-posed problems. Previously, linear convergence rates with respect to the Bregman distance…