155 citations · 253 across the 4 of their papers we have counts for
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math.FA2010★ 9 cited
Beyond convergence rates: Exact recovery with Tikhonov regularization with sparsity constraints
Dirk A. Lorenz, Stefan Schiffler, Dennis Trede
The Tikhonov regularization of linear ill-posed problems with an penalty is considered. We recall results for linear convergence rates and results on exact recovery of the…
math.FA2008★ 20 cited
Optimal Convergence Rates for Tikhonov Regularization in Besov Scales
Dirk Lorenz, Dennis Trede
In this paper we deal with linear inverse problems and convergence rates for Tikhonov regularization. We consider regularization in a scale of Banach spaces, namely the scale of Be…
math.FA2008★ 155 cited
Convergence rates and source conditions for Tikhonov regularization with sparsity constraints
Dirk A. Lorenz
This paper addresses the regularization by sparsity constraints by means of weighted penalties for . For special attention is payed to conve…