Philipp Petersen
Universität Wien
H-index: 18
Europe-Austria
Top articles of Philipp Petersen
Regularized Gauss-Newton for Optimizing Overparameterized Neural Networks
arXiv preprint arXiv:2404.14875
2024/4/23
Efficient Learning Using Spiking Neural Networks Equipped With Affine Encoders and Decoders
arXiv preprint arXiv:2404.04549
2024/4/6
Mathematical capabilities of chatgpt
arXiv preprint arXiv:2301.13867
2023/1/31
VC dimensions of group convolutional neural networks
Neural Networks
2024/1/1
Exponential ReLU neural network approximation rates for point and edge singularities
Foundations of Computational Mathematics
2023/6
Deep neural networks can stably solve high-dimensional, noisy, non-linear inverse problems
Analysis and Applications
2023/1/19
Large language models for mathematicians
arXiv preprint arXiv:2312.04556
2023/12/7
Neural network approximation and estimation of classifiers with classification boundary in a Barron class
The Annals of Applied Probability
2023/8
Philipp Petersen
H-Index: 11
Felix Voigtlaender
H-Index: 9
Limitations of neural network training due to numerical instability of backpropagation
arXiv preprint arXiv:2210.00805
2022/10/3
Deep microlocal reconstruction for limited-angle tomography
Applied and Computational Harmonic Analysis
2022/7/1
Gitta Kutyniok
H-Index: 35
Philipp Petersen
H-Index: 11
Mathematics of Machine Learning
2022/4/18
A theoretical analysis of deep neural networks and parametric PDEs
Constructive Approximation
2022/2
Gitta Kutyniok
H-Index: 35
Philipp Petersen
H-Index: 11
Optimal learning of high-dimensional classification problems using deep neural networks
arXiv preprint arXiv:2112.12555
2021/12/23
Philipp Petersen
H-Index: 11
Felix Voigtlaender
H-Index: 9
Die moderne Mathematik des tiefen Lernens
Mitteilungen der Deutschen Mathematiker-Vereinigung
2021/12/1
Numerical solution of the parametric diffusion equation by deep neural networks
Journal of Scientific Computing
2021/7
Philipp Petersen
H-Index: 11
Gitta Kutyniok
H-Index: 35
The modern mathematics of deep learning
arXiv preprint arXiv:2105.04026
2021/5/9
Topological properties of the set of functions generated by neural networks of fixed size
Foundations of computational mathematics
2021/4
Philipp Petersen
H-Index: 11
Felix Voigtlaender
H-Index: 9
Efficient approximation of solutions of parametric linear transport equations by ReLU DNNs
Advances in Computational Mathematics
2021/2
Fabian Laakmann
H-Index: 1
Philipp Petersen
H-Index: 11
Γ-convergence of a shearlet-based Ginzburg–Landau energy
Applied and Computational Harmonic Analysis
2020/11/1
Error bounds for approximations with deep ReLU neural networks in norms
Analysis and Applications
2020/9/19
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