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 (2015-2024)
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 (2014-2019)
DFG project
Teaching
Research seminar: Numerical Analysis (English) (WS 2019/2020)
Thursday 12.30 - 14.00, Seminarraum NAM (2 SWS)
Lecture: Numerische Mathematik I (German) (WS 2019/2020)
Tuesday and Friday 8.15 - 9.55, MN 67 (Lecture: 4 SWS + Exercises: 2 SWS / 9 ECTS)
Publications
Modifications of Prony's Method for the Recovery and Sparse Approximation of Generalized Exponential Sums
Ingeborg Keller, Gerlind Plonka
University of Göttingen, Institute for Numerical and Applied Mathematics, 2019 (preprint as download)
Frame soft shrinkage as proximity operator
Marzieh Hasannasab, Sebastian Neumayer, Gerlind Plonka, Simon Setzer, Gabriele Steidl, Jakob Geppert
University of Göttingen, Institute for Numerical and Applied Mathematics, 2019 (preprint available at arXiv)
Frame soft shrinkage operators are proximity operators
Jakob Geppert, Gerlind Plonka
University of Göttingen, Institute for Numerical and Applied Mathematics, 2019 (preprint as download)
A tree-based dictionary learning framework
Renato Budinich, Gerlind Plonka
University of Göttingen, Institute for Numerical and Applied Mathematics, 2019 (preprint as download)
The Generalized Operator-Based Prony Method
Kilian Stampfer, Gerlind Plonka
University of Göttingen, Institute for Numerical and Applied Mathematics, 2019 (preprint as download)
One-dimensional discrete-time phase retrieval
Robert Beinert, Gerlind Plonka
book chapter, University of Göttingen, Institute for Numerical and Applied Mathematics, 2018 (preprint as download)
Real Sparse Fast DCT for Vectors with Short Support
Sina Bittens, Gerlind Plonka
Linear Algebra and its Applications 582, pp.359-390, 2019 (preprint as download (arXiv))
Reconstruction of Non-Stationary Signals by the Generalized Prony Method
Ingeborg Keller, Gerlind Plonka, Kilian Stampfer
Proc. Appl. Math. Mech. Volume 19, to appear, 2019 (DOI 10.1002/pamm.201900358)
Optimal approximation with exponential sums by maximum likelihood modification of Prony's method
Ran Zhang, Gerlind Plonka
Advances in Computational Mathematics 45(3), 1657-1687, 2019 (revised preprint as download)
Reconstruction of stationary and non-stationary signals by the generalized Prony method
Gerlind Plonka, Kilian Stampfer, Ingeborg Keller
Analysis and Applications 17(2), 179-210, 2019 (revised preprint as download)
Numerical Fourier Analysis
Gerlind Plonka, Daniel Potts, Gabriele Steidl, Manfred Tasche
Birkhäuser, Basel, 2019 (book, 618 pages)
Sparse Fast DCT for Vectors with One-block Support
Sina Bittens, Gerlind Plonka
Numerical Algorithms 82(2), 663–697, 2019 (preprint as download (arXiv))
Computation of adaptive Fourier series by sparse approximation of exponential sums
Gerlind Plonka, Vlada Pototskaia
Journal of Fourier Analysis and Applications 25(4), pp. 1580–1608, 2019 (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 45, 505-525, 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)
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 and Python.
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 and Python.
Sina Bittens, Gerlind Plonka
Real Sparse DCT for Vectors with Short Support
Real sparse DCT algorithm for vectors with short support, implemented in MATLAB and Python.
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.: 0551-39-26777
plonka AT math.uni-goettingen.de