Dirk A. Lorenz

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20082010

most citedConvergence rates and source conditions for Tikhonov regularization with sparsity constraints

155 citations · 253 across the 4 of their papers we have counts for

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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 $ℓ^{p}$ penalties for $0 \leq p \leq 2$ . For $1 \leq p \leq 2$ special attention is payed to conve…