14 citations · 16 across the 4 of their papers we have counts for
5 papers
Weak topologies for unbounded nets in CAT() spaces
Philip Miller, Arian Berdellima, Max Wardetzky
Weak topologies that yield weak convergence for bounded sequences and nets in CAT() spaces have been studied in the past. We are here concerned with weak topologies that yield w…
Convergence Rates for Oversmoothing Banach Space Regularization
Philip Miller, Thorsten Hohage
This paper studies Tikhonov regularization for finitely smoothing operators in Banach spaces when the penalization enforces too much smoothness in the sense that the penalty term i…
Variational Regularization Theory Based on Image Space Approximation Rates
Philip Miller
We present a new approach to convergence rate results for variational regularization. Avoiding Bregman distances and using image space approximation rates as source conditions we p…
Maximal Spaces for Approximation Rates in -regularization
Philip Miller, Thorsten Hohage
We study Tikhonov regularization for possibly nonlinear inverse problems with weighted -penalization. The forward operator, mapping from a sequence space to an arbitrary Ba…
Optimal convergence rates for sparsity promoting wavelet-regularization in Besov spaces
Thorsten Hohage, Philip Miller
This paper deals with Tikhonov regularization for linear and nonlinear ill-posed operator equations with wavelet Besov norm penalties. We focus on penalty terms which y…