Current projects

RTG 2088: Discovering structure in complex data: Statistics meets Optimization and Inverse Problems (2015-2024)DFG Research Training Group |

Optimal Rank-1 Hankel Approximation of Matrices: Frobenius Norm, Spectral Norm and Cadzow's AlgorithmHanna Knirsch, Markus Petz, Gerlind Plonka University of Göttingen, Institute for Numerical and Applied Mathematics, 2020 (preprint available at arXiv) | |

Deterministic Sparse Sublinear FFT with Improved Numerical StabilityGerlind Plonka, Therese von Wulffen University of Göttingen, Institute for Numerical and Applied Mathematics, 2020 (preprint available at arXiv) | |

Parseval proximal neural networksMarzieh Hasannasab, Johannes Hertrich, Sebastian Neumayer, Gerlind Plonka, Simon Setzer, Gabriele Steidl University of Göttingen, Institute for Numerical and Applied Mathematics, 2019 (preprint available at arXiv) | |

Modifications of Prony's Method for the Recovery and Sparse Approximation of Generalized Exponential SumsIngeborg Keller, Gerlind Plonka University of Göttingen, Institute for Numerical and Applied Mathematics, 2019 (preprint as download) | |

Frame soft shrinkage as proximity operatorMarzieh 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 operatorsJakob 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 Constructive Approximation, online first, 2020 (preprint as download) | |

One-dimensional discrete-time phase retrievalRobert Beinert, Gerlind Plonka book chapter, to appear, 2020 (preprint as download) | |

Reconstruction of Non-Stationary Signals by the Generalized Prony MethodIngeborg Keller, Gerlind Plonka, Kilian Stampfer Proc. Appl. Math. Mech. Volume 19, 358--359, 2019 (DOI 10.1002/pamm.201900358) | |

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)) | |

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 82(2), 663–697, 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) | |

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 and Python. 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 and Python. Sina Bittens, Gerlind Plonka | |

Real Sparse DCT for Vectors with Short SupportReal sparse DCT algorithm for vectors with short support, implemented in MATLAB and Python. Sina Bittens, Gerlind Plonka | |

Deterministic Sparse Sublinear FFT with Improved Numerical StabilityDeterministic sparse sublinear FFT for M-sparse vectors with improved numerical stability, implemented in Python. Gerlind Plonka, Therese von Wulffen |

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