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Florian Rossmannek
Florian Rossmannek
ETH Zurich, Department of Mathematics
Verified email at math.ethz.ch - Homepage
Title
Cited by
Cited by
Year
Efficient approximation of high-dimensional functions with neural networks
P Cheridito, A Jentzen, F Rossmannek
IEEE Transactions on Neural Networks and Learning Systems, 2021
45*2021
Non-convergence of stochastic gradient descent in the training of deep neural networks
P Cheridito, A Jentzen, F Rossmannek
Journal of Complexity 64, 101540, 2021
362021
A proof of convergence for gradient descent in the training of artificial neural networks for constant target functions
P Cheridito, A Jentzen, A Riekert, F Rossmannek
Journal of Complexity, 101646, 2022
252022
Landscape analysis for shallow neural networks: complete classification of critical points for affine target functions
P Cheridito, A Jentzen, F Rossmannek
Journal of Nonlinear Science 32 (5), 1-45, 2022
182022
Gradient descent provably escapes saddle points in the training of shallow ReLU networks
P Cheridito, A Jentzen, F Rossmannek
arXiv preprint arXiv:2208.02083, 2022
42022
Efficient Sobolev approximation of linear parabolic PDEs in high dimensions
P Cheridito, F Rossmannek
arXiv preprint arXiv:2306.16811, 2023
32023
A comment on approximation capacities of neural networks
F Rossmannek
florian.rossmannek.com/pdfs/ReLUvSig.pdf, 2024
2024
The curse of dimensionality and gradient-based training of neural networks: shrinking the gap between theory and applications
F Rossmannek
ETH Zurich, 2023
2023
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Articles 1–8