Journal articles


Conference Proceedings

  • Ingo Gühring, Gitta Kutyniok, Philipp Petersen, Error bounds for approximations with deep ReLU neural networks in Sobolev norms, Signal Processing with Adaptive Sparse Structured Representations (SPARS) Workshop 2019, Toulouse, France, 2019
  • Felix Voigtlaender, Philipp Petersen, Approximation in Lp(μ) with deep ReLU neural networks, Proc. of Intl.Conf. on Sampling Theory and Applications (SampTA), Bordeaux, France, 2019
  • Philipp Petersen, Mones Raslan, Felix Voigtlaender, Unfavorable structural properties of the set of neural networks with fixed architecture, Proc. of Intl.Conf. on Sampling Theory and Applications (SampTA), Bordeaux, France, 2019
  • Helmut Boelcskei, Philipp Grohs, Gitta Kutyniok, and Philipp Petersen, Memory-optimal neural network approximation, Proc. of SPIE (Wavelets and Sparsity XVII), San Diego, USA, 2017

Preprints


Monographs

  • Applications of Shearlet Frames for a Sparsity Promoting Regularization of the Inverse Scattering Problem
    Philipp Petersen, Master thesis
    Technische Universität Berlin, 2013
  • Nonnegative Completions of Block Operators
    Philipp Petersen, Bachelor thesis
    Technische Universität Berlin, 2011

Lecture notes