Bernd Hofmann

activity

20152025

most citedOn

ℓ^{1}

-regularization in light of Nashed's ill-posedness concept

13 citations · 17 across the 7 of their papers we have counts for

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math.FA2025

Classification of ill-posedness for bounded linear operators in Banach spaces

Bernd Hofmann, Stefan Kindermann

In this article, concepts of well- and ill-posedness for linear operators in Hilbert and Banach spaces are discussed. While these concepts are well understood in Hilbert spaces, th…

math.FA2023★ 2 cited

Newton's methods for solving linear inverse problems with neural network coders

Otmar Scherzer, Bernd Hofmann, Zuhair Nashed

Neural networks functions are supposed to be able to encode the desired solution of an inverse problem very efficiently. In this paper, we consider the problem of solving linear in…

math.FA2015★ 13 cited

On $ℓ^{1}$ -regularization in light of Nashed's ill-posedness concept

Jens Flemming, Bernd Hofmann, Ivan Veselic

Based on the powerful tool of variational inequalities, in recent papers convergence rates results on $ℓ^{1}$ -regularization for ill-posed inverse problems have been formulated in…

Classification of ill-posedness for bounded linear operators in Banach spaces

Newton's methods for solving linear inverse problems with neural network coders

On ℓ1-regularization in light of Nashed's ill-posedness concept

On $ℓ^{1}$ -regularization in light of Nashed's ill-posedness concept