41 citations · 324 across the 37 of their papers we have counts for
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math.NA2023
New results for variational regularization with oversmoothing penalty term in Banach spaces
Bernd Hofmann, Chantal Klinkhammer, Robert Plato
In this article on variational regularization for ill-posed nonlinear problems, we are once again discussing the consequences of an oversmoothing penalty term. This means in our mo…
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.NA2023
A note on the degree of ill-posedness for mixed differentiation on the d-dimensional unit cube
Bernd Hofmann, Hans-Jürgen Fischer, Robert Plato
Numerical differentiation of a function, contaminated with noise, over the unit interval by inverting the simple integration operator $J:L^2([0,1]) \to L…