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 (2014-2019)DFG project |

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 frameworkRenato Budinich, Gerlind Plonka University of Göttingen, Institute for Numerical and Applied Mathematics, 2019 (preprint as download) | |

The Generalized Operator-Based Prony MethodKilian Stampfer, Gerlind Plonka University of Göttingen, Institute for Numerical and Applied Mathematics, 2019 (preprint as download) | |

One-Dimensional Discrete-Time Phase RetrievalRobert 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 SupportSina 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 MethodIngeborg 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 methodRan 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 methodGerlind Plonka, Kilian Stampfer, Ingeborg Keller Analysis and Applications 17(2), 179-210, 2019 (revised preprint as download) | |

Numerical Fourier AnalysisGerlind Plonka, Daniel Potts, Gabriele Steidl, Manfred Tasche Birkhäuser, Basel, 2019 (book, 618 pages) | |

Sparse Fast DCT for Vectors with One-block SupportSina Bittens, Gerlind Plonka Numerical Algorithms, to appear, 2019 (preprint as download (arXiv)) | |

Computation of adaptive Fourier series by
sparse approximation of exponential sumsGerlind 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 domainRobert Beinert, Gerlind Plonka Applied and Computational Harmonic Analysis 45, 505-525, 2018 (preprint as download (arXiv)) | |

Deterministic sparse FFT for M-sparse vectorsGerlind 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 noiseLina 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 sumsVlada 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 methodRobert 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 frameLina Liu, Gerlind Plonka, Jianwei Ma Inverse Problems 33(10), 105011, 2017 (preprint as download) | |

A sparse Fast Fourier algorithm for real nonnegative vectorsGerlind 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 methodRobert Beinert, Gerlind Plonka Frontiers of Applied Mathematics and Statistics 3:5, 2017 (open access, preprint as download) | |

Iterative Phase Retrieval with Sparsity ConstraintsStefan Loock, Gerlind Plonka PAMM 16(1), 835-836, 2016 (DOI: 10.1002/pamm.201610406) | |

further publications... |

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 FFTDeterministic sparse FFT for M-sparse vectors, implemented in MATLAB. Gerlind Plonka, Katrin Wannenwetsch | |

Sparse Fast DCT for Vectors with One-block SupportSparse fast DCT algorithm for vectors with one-block support, implemented in MATLAB. Sina Bittens, Gerlind Plonka | |

Sparse FFT for Vectors with Reflected Two-block SupportSparse FFT algorithm for vectors with reflected two-block support, implemented in MATLAB. Sina Bittens, Gerlind Plonka | |

Real Sparse DCT for Vectors with Short SupportReal sparse DCT algorithm for vectors with short 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.: 0551-39-26777

plonka AT math.uni-goettingen.de