77 citations · 561 across the 68 of their papers we have counts for
6 papers · 1 filter
Möbius deconvolution on the hyperbolic plane with application to impedance density estimation
Stephan F. Huckemann, Peter T. Kim, Ja-Yong Koo +1
In this paper we consider a novel statistical inverse problem on the Poincaré, or Lobachevsky, upper (complex) half plane. Here the Riemannian structure is hyperbolic and a transit…
Modeling the growth of fingerprints improves matching for adolescents
Carsten Gottschlich, Thomas Hotz, Robert Lorenz +3
We study the effect of growth on the fingerprints of adolescents, based on which we suggest a simple method to adjust for growth when trying to recover a juvenile's fingerprint in…
Adaptive wavelet estimation of the diffusion coefficient under additive error measurements
Marc Hoffmann, Axel Munk, Johannes Schmidt-Hieber
We study nonparametric estimation of the diffusion coefficient from discrete data, when the observations are blurred by additional noise. Such issues have been developed over the l…
Shape Constrained Regularisation by Statistical Multiresolution for Inverse Problems: Asymptotic Analysis
Klaus Frick, Philipp Marnitz, Axel Munk
This paper is concerned with a novel regularisation technique for solving linear ill-posed operator equations in Hilbert spaces from data that is corrupted by white noise. We combi…
Lower bounds for volatility estimation in microstructure noise models
Axel Munk, Johannes Schmidt-Hieber
In this paper we derive lower bounds in minimax sense for estimation of the instantaneous volatility if the diffusion type part cannot be observed directly but under some additiona…
Locally adaptive image denoising by a statistical multiresolution criterion
Thomas Hotz, Philipp Marnitz, Rahel Stichtenoth +3
We demonstrate how one can choose the smoothing parameter in image denoising by a statistical multiresolution criterion, both globally and locally. Using inhomogeneous diffusion an…