4 papers
Mathematical theory of deep learning
Philipp Petersen, Jakob Zech
This book provides an introduction to the mathematical analysis of deep learning. It covers fundamental results in approximation theory, optimization theory, and statistical learni…
Experimental data re-uploading with provable enhanced learning capabilities
Martin F. X. Mauser, Solène Four, Lena Marie Predl +7
The last decades have seen the development of quantum machine learning, stemming from the intersection of quantum computing and machine learning. This field is particularly promisi…
Stable Learning Using Spiking Neural Networks Equipped With Affine Encoders and Decoders
A. Martina Neuman, Dominik Dold, Philipp Christian Petersen
We study the learning problem associated with spiking neural networks. Specifically, we focus on spiking neural networks composed of simple spiking neurons having only positive syn…
Causal pieces: analysing and improving spiking neural networks piece by piece
Dominik Dold, Philipp Christian Petersen
We introduce a novel concept for spiking neural networks (SNNs) derived from the idea of "linear pieces" used to analyse the expressiveness and trainability of artificial neural ne…