## Publications

- Philipp Horn, Veronica Saz Ulibarrena, Barry Koren, Simon Portegies Zwart (2024).
*A Generalized Framework of Neural Networks for Hamiltonian Systems*. Journal of Computational Physics https://www.sciencedirect.com/science/article/pii/S0021999124007848?via%3Dihub#se0080 - Anna Shalova, André Schlichting, Mark Peletier (2024).
*Singular-limit analysis of gradient descent with noise injection*. https://arxiv.org/abs/2404.12293 - Chinmay Datar, Adwait Datar, Felix Dietrich, Wil Schilders (2024).
*Systematic construction of continuous-time neural networks for linear dynamical systems*. https://arxiv.org/abs/2403.16215 - Giulio Ortali, Alessandro Gabbana, Nicola Demo, Gianluigi Rozza, Federico Toschi (2024).
*Kinetic data-driven approach to turbulence subgrid modeling*. https://arxiv.org/abs/2403.18466 - Veronica Saz Ulibarrena, Philipp Horn, Simon Portegies Zwart, Elena Sellentin, Barry Koren and Maxwell X. Cai (2023).
*A Hybrid Approach for Solving the Gravitational N-Body Problem with Artificial Neural Networks*. Journal of Computational Physics https://www.sciencedirect.com/science/article/pii/S0021999123006915?via%3Dihub - Toby van Gastelen, Wouter Edeling, Benjamin Sanderse (2023).
*Energy-Conserving Neural Network for Turbulence Closure Modeling*. https://arxiv.org/abs/2301.13770 - Veronica Saz Ulibarrena, Philipp Horn, Simon Portegies Zwart, Elena Sellentin, Barry Koren and Maxwell X. Cai (2022).
*Hybrid integration of the gravitational N-body problem with Artificial Neural Networks*. Proceedings NeurIPS 2022. https://ml4physicalsciences.github.io/2022/files/NeurIPS_ML4PS_2022_88.pdf - Giulio Ortali, Alessandro Corbetta, Gianluigi Rozza, Federico Toschi (2022).
*Towards a Numerical Proof of Turbulence Closure*. https://arxiv.org/abs/2202.09289 - Philipp Horn, Veronica Saz Ulibarrena, Barry Koren, Simon Portegies Zwart (2022).
*Structure-Preserving Neural Networks for the N-body Problem*. Proceedings ECCOMAS 2022. https://www.scipedia.com/public/Horn_et_al_2022a - Vlado Menkovski, Jim Portegies, Mahefa Ravelonanosy (2022).
*Small time asymptotics of the entropy of the heat kernel on a Riemannian manifold.*Applied and Computational Harmonic Analysis https://www.sciencedirect.com/science/article/pii/S1063520324000198

## Master Theses

- Hugo Melchers finished his master project at the Eindhoven University of Technology, supervised by multiple UNRAVEL researchers, with an outstanding thesis: Machine learning for closure models (pdf)

## Bachelor Theses

- Andreas Merrath wrote his bachelor thesis at the Technical University of Munich. He worked with UNRAVEL researchers on an idea that originated in the UNRAVEL project: Solving the three-body problem with neural networks (pdf)

## Conferences

Extensive list of conferences with contributions by researchers of the UNRAVEL project.

- Poster at the SimTech conference 2023 by Philipp Horn (poster)
- Talk at ENUMATH 2023 by Philipp Horn (slides)
- Poster at ICIAM and FoCM 2023 by Anna Shalova (poster)
- Talk and Poster at ICIAM 2023 by Philipp Horn (slides)(poster)
- Talk at ECMI 2023 by Philipp Horn (slides)
- Talk at a Workshop on Scientific Machine Learning at Banff International Research Station by Benjamin Sanderse (slides)
- Talk at the SIAM CSE 2023 by Benjamin Sanderse (slides)
- Talk at the Irish Numerical Analysis Forum Seminar by Wil Schilders (slides)
- Keynote talk at the LACIAM conference by Wil Schilders (slides)
- Talk at the Mathematics of Machine Learning workshop by Anna Shalova (slides)
- Posters at NeurIPS by Veronica Saz Ulibarrena (poster)
- Talk in a Siemens seminar by Wil Schilders (slides)
- Talk in the Forum Mathematics with Industry by Wil Schilders (slides)
- Posters at the Woudschoten conference 2022 by
- Talk at the 3city seminar at TU Dortmund by Mahefa Ravelonanosy (slides)
- Talk at the SIAM conference on Mathematics of Data Science by Wil Schilders (slides)
- Talk at the 9th GACM Colloquium on Computational Mechanics 2022 by Philipp Horn (slides)
- Talk at Roche workshop by Wil Schilders (slides)
- Talk at the ICIAM workshop in Glasgow by Wil Schilders (slides)
- Poster at JMBC symposium by Giulio Ortali (poster)
- Talks at the ECCOMAS congress 2022 by
- Talk at the NDNS+ meeting by Wil Schilders (slides)
- Talk at Turbulence and Interactions 2022 by Giulio Ortali (slides)
- Talk in the TUM Informatik colloquium by Wil Schilders (slides)
- Talk in the CASA colloquium by Wil Schilders (slides)
- Talk at the Lorentz workshop by Anna Shalova (slides)
- Talk as part of the workshop on Industrial Mathematics in Catania by Wil Schilders (slides)
- Talk at the KoMSO Academy meeting by Wil Schilders (slides)
- Talk at SIAM CSE 2021 by Wil Schilders (slides)
- Talk at Intelligent Astronomy with Machine Learning workshop in Leiden by Wil Schilders (slides)