Journal articles


Conference Proceedings

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