Philipp Christian Petersen

17 papers Journal 17
YearRankTypeTitle / Venue / Authors
2026 J jnl
Equivalence of approximation by networks of single- and multi-spike neurons.
CoRR
Dominik Dold, Philipp Christian Petersen
2026 J jnl
Mathematical Foundations of Spiking Neural Networks: Strengths, challenges, and computational paradigm potential [Special Issue on the Mathematics of deep Learning].
IEEE Signal Process. Mag.
Adalbert Fono, Manjot Singh, Ernesto Araya, Philipp Christian Petersen, Holger Boche, Gitta Kutyniok
2025 J jnl
Causal pieces: analysing and improving spiking neural networks piece by piece.
CoRR
Dominik Dold, Philipp Christian Petersen
2025 J jnl
Stable learning using spiking neural networks equipped with affine encoders and decoders.
J. Mach. Learn. Res.
A. Martina Neuman, Dominik Dold, Philipp Christian Petersen
2025 J jnl
Sustainable AI: Mathematical Foundations of Spiking Neural Networks.
CoRR
Adalbert Fono, Manjot Singh, Ernesto Araya, Philipp Christian Petersen, Holger Boche, Gitta Kutyniok
2024 J jnl
Efficient Learning Using Spiking Neural Networks Equipped With Affine Encoders and Decoders.
CoRR
A. Martina Neuman, Philipp Christian Petersen
2024 J jnl
First Order System Least Squares Neural Networks.
CoRR
Joost A. A. Opschoor, Philipp Christian Petersen, Christoph Schwab
2024 J jnl
Limitations of neural network training due to numerical instability of backpropagation.
Adv. Comput. Math.
Clemens Karner, Vladimir A. Kazeev, Philipp Christian Petersen
2024 J jnl
Regularized Gauss-Newton for Optimizing Overparameterized Neural Networks.
CoRR
Adeyemi D. Adeoye, Philipp Christian Petersen, Alberto Bemporad
2024 J jnl
VC dimensions of group convolutional neural networks.
Neural Networks
Philipp Christian Petersen, Anna Sepliarskaia
2023 J jnl
Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities.
Found. Comput. Math.
Carlo Marcati, Joost A. A. Opschoor, Philipp Christian Petersen, Christoph Schwab
2023 J jnl
Mathematical Capabilities of ChatGPT.
CoRR
Simon Frieder, Luca Pinchetti, Ryan-Rhys Griffiths, Tommaso Salvatori, Thomas Lukasiewicz, Philipp Christian Petersen, Alexis Chevalier, Julius Berner
2022 J jnl
Deep neural networks can stably solve high-dimensional, noisy, non-linear inverse problems.
CoRR
Andrés Felipe Lerma Pineda, Philipp Christian Petersen
2022 J jnl
Limitations of neural network training due to numerical instability of backpropagation.
CoRR
Clemens Karner, Vladimir A. Kazeev, Philipp Christian Petersen
2022 J jnl
VC dimensions of group convolutional neural networks.
CoRR
Philipp Christian Petersen, Anna Sepliarskaia
2020 J jnl
Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities.
CoRR
Carlo Marcati, Joost A. A. Opschoor, Philipp Christian Petersen, Christoph Schwab
2019 J jnl
The Oracle of DLphi.
CoRR
Dominik Alfke, Weston Baines, Jan Blechschmidt, Mauricio J. del Razo Sarmina, Amnon Drory, Dennis Elbrächter, Nando Farchmin, Matteo Gambara, Silke Glas, Philipp Grohs, Peter Hinz, Danijel Kivaranovic, Christian Kümmerle, Gitta Kutyniok, Sebastian Lunz, Jan MacDonald, Ryan Malthaner, Gregory Naisat, Ariel Neufeld, Philipp Christian Petersen, Rafael Reisenhofer, Jun-Da Sheng, Laura Thesing, Philipp Trunschke, Johannes von Lindheim, David Weber, Melanie Weber