Philipp Petersen

A Theoretical Analysis of Deep Neural Networks and Parametric PDEs

Gitta Kutyniok, Philipp Petersen, Mones Raslan et al. · Constructive Approximation · 2021 · 67 citations · Full text

On the set of images modulo viewpoint and contrast changes

Ganesh Sundaramoorthi, Philipp Petersen, V. S. Varadarajan et al. · 2009 IEEE Conference on Computer Vision and Pattern Recognition · 2009 · 43 citations

Engineering, Geometry, Image Manipulation +20

Error bounds for approximations with deep ReLU neural networks in Ws,p norms

Ingo Gühring, Gitta Kutyniok, Philipp Petersen · Analysis and Applications · 2019 · 24 citations · Full text

Relu Neural Networks, Convolutional Neural Network, Engineering +15

Optimal Approximation with Sparsely Connected Deep Neural Networks

Helmut Bölcskei, Philipp Grohs, Gitta Kutyniok et al. · SIAM Journal on Mathematics of Data Science · 2019 · 23 citations · Full text

Optimal Approximation, Geometric Learning, Sparse Representation +13

Optimal approximation of piecewise smooth functions using deep ReLU neural networks

Philipp Petersen, Felix Voigtlaender · Neural Networks · 2018 · 21 citations · Full text

Numerical Analysis, Optimal Approximation, Model Optimization +11