Tapio Helin
Tapio Helin
LUT University
Verified email at lut.fi
Cited by
Cited by
Maximum a posteriori probability estimates in infinite-dimensional Bayesian inverse problems
T Helin, M Burger
Inverse Problems 31 (8), 085009, 2015
Sparsity-promoting and edge-preserving maximum a posteriori estimators in non-parametric Bayesian inverse problems
S Agapiou, M Burger, M Dashti, T Helin
Inverse Problems 34 (4), 045002, 2018
Hierarchical models in statistical inverse problems and the Mumford–Shah functional
T Helin, M Lassas
Inverse problems 27 (1), 015008, 2010
Wavelet methods in multi-conjugate adaptive optics
T Helin, M Yudytskiy
Inverse Problems 29 (8), 085003, 2013
Finite element-wavelet hybrid algorithm for atmospheric tomography
M Yudytskiy, T Helin, R Ramlau
JOSA A 31 (3), 550-560, 2014
On infinite-dimensional hierarchical probability models in statistical inverse problems
T Helin
Inverse problems and imaging 3 (4), 567-597, 2009
Inverse scattering for a random potential
P Caro, T Helin, M Lassas
Analysis and Applications 17 (04), 513-567, 2019
A variational reconstruction method for undersampled dynamic X-ray tomography based on physical motion models
M Burger, H Dirks, L Frerking, A Hauptmann, T Helin, S Siltanen
Inverse Problems 33 (12), 124008, 2017
An inverse problem for the wave equation with one measurement and the pseudorandom source
T Helin, M Lassas, L Oksanen
Analysis & PDE 5 (5), 887-912, 2012
A frequency dependent preconditioned wavelet method for atmospheric tomography
M Yudytskiy, T Helin, R Ramlau
Third AO4ELT Conference - Adaptive Optics for Extremely Large Telescopes, 2013
Correlation based passive imaging with a white noise source
T Helin, M Lassas, L Oksanen, T Saksala
Journal de Mathématiques Pures et Appliquées 116, 132-160, 2018
Atmospheric turbulence profiling with unknown power spectral density
T Helin, S Kindermann, J Lehtonen, R Ramlau
Inverse Problems 34 (4), 044002, 2018
Inverse acoustic scattering problem in half-space with anisotropic random impedance
T Helin, M Lassas, L Päivärinta
Journal of Differential Equations 262 (4), 3139-3168, 2017
Inverse random source problems for time-harmonic acoustic and elastic waves
J Li, T Helin, P Li
Communications in Partial Differential Equations, 1-46, 2020
Generalized modes in Bayesian inverse problems
C Clason, T Helin, R Kretschmann, P Piiroinen
SIAM/ASA journal on uncertainty quantification 7 (2), 652-684, 2019
Large noise in variational regularization
M Burger, T Helin, H Kekkonen
Transactions of mathematics and its applications 2 (1), tny002, 2018
Comparison of methods for the reduction of reconstructed layers in atmospheric tomography
D Saxenhuber, G Auzinger, M Le Louarn, T Helin
Applied Optics 56 (10), 2621-2629, 2017
Inverse problem for the wave equation with a white noise source
T Helin, M Lassas, L Oksanen
Communications in Mathematical Physics 332 (3), 933-953, 2014
An inverse random source problem in a stochastic fractional diffusion equation
P Niu, T Helin, Z Zhang
Inverse Problems 36 (4), 045002, 2020
Towards analytical model optimization in atmospheric tomography
T Helin, S Kindermann, D Saxenhuber
Mathematical Methods in the Applied Sciences 40 (4), 1153-1169, 2017
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