University of Göttingen - Institute for Numerical and Applied Mathematics
Gerlind Plonka-Hoch

Own homepage

Current projects
RTG 2088: Discovering structure in complex data: Statistics meets Optimization and Inverse Problems (2015-2020)
DFG Research Training Group
Fresnel wavelets for coherent diffractive imaging (2011-2019)
DFG project (subproject C11) within the CRC 755 (Nanoscale Photonic Imaging, second and third funding period)
Efficient function reconstruction using eigenfunctions of linear operators (2014-2018)
DFG project
Teaching
Research seminar: Numerical Analysis (English) (SS 2018)
Thursday 12.30 - 14.00, Seminarraum NAM (2 SWS)
Lecture: Numerische Mathematik II (German) (SS 2018)
Tuesday and Friday 10.15 - 11.55, MN 67 (Lecture: 4 SWS + Exercises: 2 SWS / 9 ECTS)
Publications
Reconstruction of stationary and non-stationary signals by the generalized Prony method
Gerlind Plonka, Kilian Stampfer, Inge Keller
University of Göttingen, Institute for Numerical and Applied Mathematics, 2018 (preprint as download)
Sparse Fast DCT for Vectors with One-block Support
Sina Bittens, Gerlind Plonka
University of Göttingen, Institute for Numerical and Applied Mathematics, 2018 (preprint as download (arXiv))
Optimal approximation with exponential sums by maximum likelihood modification of Prony's method
Ran Zhang, Gerlind Plonka
University of Göttingen, Institute for Numerical and Applied Mathematics, 2017 (preprint as download)
Computation of adaptive Fourier series by sparse approximation of exponential sums
Gerlind Plonka, Vlada Pototskaia
University of Göttingen, Institute for Numerical and Applied Mathematics, 2018 (preprint as download)
Enforcing uniqueness in one-dimensional phase retrieval by additional signal information in time domain
Robert Beinert, Gerlind Plonka
Applied and Computational Harmonic Analysis, to appear, 2018 (preprint as download (arXiv))
Deterministic sparse FFT for M-sparse vectors
Gerlind Plonka, Katrin Wannenwetsch, Annie Cuyt, Wen-Shin Lee
Numerical Algorithms 78(1), 133-159, 2018 (revised preprint as download)
Sparse graph-regularized dictionary learning for suppressing random seismic noise
Lina Liu, Jianwei Ma, Gerlind Plonka
Geophysics 83(3), pp. V215-V231, 2018 (preprint as download)
Application of the AAK theory and Prony-like Methods for sparse approximation of exponential sums
Vlada Pototskaia, Gerlind Plonka
Proc. Appl. Math. Mech. Volume 17, pp. 835-836, December 2017 (DOI 10.1002/pamm.20171038)
Sparse phase retrieval of structured signals by Prony’s method
Robert Beinert, Gerlind Plonka
Proc. Appl. Math. Mech. Volume 15, Issue 1, pp. 829-830, December 2017 (DOI 10.1002/pamm.201710382)
Seismic data interpolation and denoising by learning a tensor tight frame
Lina Liu, Gerlind Plonka, Jianwei Ma
Inverse Problems 33(10), 105011, 2017 (preprint as download)
A sparse Fast Fourier algorithm for real nonnegative vectors
Gerlind Plonka, Katrin Wannenwetsch
Journal of Computational and Applied Mathematics 321, 532-539, 2017 (preprint as download)
Sparse phase retrieval of one-dimensional signals by Prony's method
Robert Beinert, Gerlind Plonka
Frontiers of Applied Mathematics and Statistics 3:5, 2017 (open access, preprint as download)
Iterative Phase Retrieval with Sparsity Constraints
Stefan Loock, Gerlind Plonka
PAMM 16(1), 835-836, 2016 (DOI: 10.1002/pamm.201610406)
Sparse approximation by Prony's method and AAK theory
Gerlind Plonka, Vlada Pototskaia
Oberwolfach Reports, Volume 33, pp. 16-19, 2016 (preprint as download)
Using sparsity information for iterative phase retrieval in x-ray propagation imaging
Anne Pein, Stefan Loock, Gerlind Plonka, Tim Salditt
Opt. Express 24(8), 8332-8343., 2016 (open access)
Pseudo-inverses of difference matrices and their application to sparse signal approximation
Gerlind Plonka, Sebastian Hoffmann, Joachim Weickert
Linear Algebra and its Applications 503, 26-47, 2016 (preprint as download)
Reconstruction of polygonal shapes from sparse Fourier samples
Marius Wischerhoff, Gerlind Plonka
Journal of Computational and Applied Mathematics 297, 117-131, 2016 (preprint as download)
Relation between total variation and persistence distance and its application in signal processing
Gerlind Plonka, Yi Zheng
Advances in Computational Mathematics 42(3), 651-674, 2016 (preprint (2014) as download)
A deterministic sparse FFT algorithm for vectors with small support
Gerlind Plonka, Katrin Wannenwetsch
Numerical Algorithms 71(4), 889-905, 2016 (preprint as download)
Deterministic sparse FFT algorithms
Gerlind Plonka, Katrin Wannenwetsch
Proc. Appl. Math. Mech. Volume 15, Issue 1, pp. 667-668, October 2015 (DOI: 10.1002/pamm.201510323, preprint as download)
further publications...
Software
Easy Path Wavelet Transform (EPWT)
Wavelet shrinkage on paths for denoising of scattered data including an adaptive deterministic and an adaptive random path construction.
Dennis Heinen, Gerlind Plonka, Stefanie Tenorth
Sparse FFT (small support)
A new deterministic sparse FFT algorithm for vectors with small support.
Katrin Wannenwetsch, Gerlind Plonka
Sparse FFT (real non-negative)
A new deterministic sparse FFT algorithm for real non-negative vectors.
Katrin Wannenwetsch, Gerlind Plonka
Deterministic Sparse FFT
Deterministic sparse FFT for M-sparse vectors, implemented in MATLAB.
Gerlind Plonka, Katrin Wannenwetsch
Sparse Fast DCT for Vectors with One-block Support
Sparse fast DCT algorithm for vectors with one-block support, implemented in MATLAB.
Sina Bittens, Gerlind Plonka
Sparse FFT for Vectors with Reflected Two-block Support
Sparse FFT algorithm for vectors with reflected two-block support, implemented in MATLAB.
Sina Bittens, Gerlind Plonka



Prof. Dr. Gerlind Plonka-Hoch

University of Göttingen
Institute for Numerical and Applied Mathematics
Lotzestr. 16-18
37083 Göttingen
Raum 117

Tel.: 0551-39-22115
plonka AT math.uni-goettingen.de