11 citations · 30 across the 8 of their papers we have counts for
4 papers · 1 filter
Penalty-based smoothness conditions in convex variational regularization
Bernd Hofmann, Stefan Kindermann, Peter Mathé
The authors study Tikhonov regularization of linear ill-posed problems with a general convex penalty defined on a Banach space. It is well known that the error analysis requires sm…
Discretized Lavrent' ev regularization for the autoconvolution equation
Steven Bürger, Peter Mathé
Lavrent'ev regularization for the autoconvolution equation was considered by J. Janno in {\itshape Lavrent'ev regularization of ill-posed problems containing nonlinear near-to-mono…
Oracle inequality for a statistical Raus-Gfrerer type rule
Qinian Jin, Peter Mathe
The authors study statistical linear inverse problems in Hilbert spaces. Approximate solutions are sought within a class of linear one-parameter regularization schemes, and the par…
Simple Monte Carlo and the Metropolis Algorithm
Peter Mathe, Erich Novak
We study the integration of functions with respect to an unknown density. We compare the simple Monte Carlo method (which is almost optimal for a certain large class of inputs) and…