Projects per year
Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
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Biologically-inspired Autonomous Systems for Space Exploration
Petersen, P. C. & Dold, D.
1/09/24 → 31/08/26
Project: Research funding
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Limitations of neural network training due to numerical instability of backpropagation
Karner, C., Kazeev, V. & Petersen, P. C., 2024, In: Advances in Computational Mathematics. 25 p.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
VC dimensions of group convolutional neural networks
Petersen, P. C. & Sepliarskaia, A., Jan 2024, In: Neural Networks. 169, p. 462-474 13 p., 169.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
Deep neural networks can stably solve high-dimensional, noisy, non-linear inverse problems
Lerma Pineda, A. F. & Petersen, P. C., 1 Jan 2023, In: Analysis and Applications. 21, 1, p. 49-91 43 p.Publications: Contribution to journal › Article › Peer Reviewed
Open Access
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Optimal learning of piecewise smooth functions
Philipp Christian Petersen (Speaker)
8 Dec 2023Activity: Talks and presentations › Talk or oral contribution › Science to Science
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Deep Neural Networks for Applied Mathematics: PDEs, Inverse Problems, and Numerical Stability
Philipp Christian Petersen (Speaker)
30 Oct 2022Activity: Talks and presentations › Talk or oral contribution › Science to Science
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Neural network approximation of smooth functions in floating-point arithmetic
Philipp Christian Petersen (Speaker)
28 Oct 2022Activity: Talks and presentations › Talk or oral contribution › Science to Science