Optimal approximation of piecewise smooth functions using deep ReLU neural networks P Petersen, F Voigtlaender Neural Networks 108, 296-330, 2018 | 66 | 2018 |

Optimal approximation with sparsely connected deep neural networks H Bölcskei, P Grohs, G Kutyniok, P Petersen SIAM Journal on Mathematics of Data Science 1 (1), 8-45, 2019 | 60 | 2019 |

Classification of edges using compactly supported shearlets G Kutyniok, P Petersen Appl. Comput. Harmon. Anal., 0 | 38* | |

Topological properties of the set of functions generated by neural networks of fixed size P Petersen, M Raslan, F Voigtlaender arXiv preprint arXiv:1806.08459, 2018 | 13 | 2018 |

Equivalence of approximation by convolutional neural networks and fully-connected networks P Petersen, F Voigtlaender arXiv preprint arXiv:1809.00973, 2018 | 10 | 2018 |

Memory-optimal neural network approximation H Bölcskei, P Grohs, G Kutyniok, P Petersen Wavelets and Sparsity XVII 10394, 103940Q, 2017 | 8 | 2017 |

A theoretical analysis of deep neural networks and parametric PDEs G Kutyniok, P Petersen, M Raslan, R Schneider arXiv preprint arXiv:1904.00377, 2019 | 6 | 2019 |

Deep ReLU Networks and High-Order Finite Element Methods J Opschoor, P Petersen, C Schwab SAM Technical Report, 2019 | 6 | 2019 |

Error bounds for approximations with deep ReLU neural networks in norms I Gühring, G Kutyniok, P Petersen arXiv preprint arXiv:1902.07896, 2019 | 5 | 2019 |

Bendlets: A second-order shearlet transform with bent elements C Lessig, P Petersen, M Schäfer Applied and computational Harmonic Analysis, 2017 | 4 | 2017 |

Regularization and numerical solution of the inverse scattering problem using shearlet frames G Kutyniok, V Mehrmann, PC Petersen Journal of Inverse and Ill-posed Problems 25 (3), 287-309, 2017 | 4 | 2017 |

Shearlet approximation of functions with discontinuous derivatives P Petersen Journal of Approximation Theory 207, 127-138, 2016 | 4 | 2016 |

Shearlets on bounded domains and analysis of singularities using compactly supported shearlets PC Petersen Berlin, Technische Universität Berlin, 2016 | 4 | 2016 |

Linear independence of compactly supported separable shearlet systems J Ma, P Petersen Journal of Mathematical Analysis and Applications 428 (1), 238-257, 2015 | 4 | 2015 |

Anisotropic multiscale systems on bounded domains P Grohs, G Kutyniok, J Ma, P Petersen, M Raslan arXiv preprint arXiv:1510.04538, 2015 | 3 | 2015 |

Approximation in with deep ReLU neural networks F Voigtlaender, P Petersen arXiv preprint arXiv:1904.04789, 2019 | 2 | 2019 |

Extraction of digital wavefront sets using applied harmonic analysis and deep neural networks H Andrade-Loarca, G Kutyniok, O Öktem, P Petersen arXiv preprint arXiv:1901.01388, 2019 | 2 | 2019 |

Optimal approximation with sparsely connected deep neural networks G Kutyniok, H Bölcskei, P Grohs, P Petersen Preprint, 0 | 2 | |

Approximation properties of shearlet frames for Sobolev spaces P Petersen, M Raslan arXiv preprint arXiv:1712.01047, 2017 | 1 | 2017 |

DGD Approximation Theory Workshop S Keiper, G Kutyniok, P Petersen | 1 | 2017 |