131 citations · 174 across the 21 of their papers we have counts for
3 papers · 1 filter
Optimal learning of high-dimensional classification problems using deep neural networks
Philipp Petersen, Felix Voigtlaender
We study the problem of learning classification functions from noiseless training samples, under the assumption that the decision boundary is of a certain regularity. We establish…
Deep Microlocal Reconstruction for Limited-Angle Tomography
Héctor Andrade-Loarca, Gitta Kutyniok, Ozan Öktem +1
We present a deep learning-based algorithm to jointly solve a reconstruction problem and a wavefront set extraction problem in tomographic imaging. The algorithm is based on a rece…
The Modern Mathematics of Deep Learning
Julius Berner, Philipp Grohs, Gitta Kutyniok +1
We describe the new field of mathematical analysis of deep learning. This field emerged around a list of research questions that were not answered within the classical framework of…