Ph.D. Thesis Chapters and Bibliography:
If you prefer to look at nice schematics, here you can find the presentation slides for my thesis: Slides
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Structure-Preserving neural networks for the n-body problem, P.Horn, V. Saz Ulibarrena, B.Koren, S. Portegies Zwart, 8th European congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS, 2022. Link to publication
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A hybrid approach for solving the gravitational N-body problem with Artificial Neural Networks, V. Saz Ulibarrena, P.Horn, S. Portegies Zwart, E. Sellentin, B.Koren, M.X. Cai, Journal of Computational Physics, Volume 496, 1 January 2024, 112596. Link to publication
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Individual chaotic behavior of the S-stars in the Galactic centre, S.J. Beckers, C.M. Poppelaars, V. Saz Ulibarrena, T.C.N. Boekholt, S. Portegies Zwart, Astronomy and Astrophysics, 685, A12, 2024. Link to publication
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A Generalized Framework of Neural Networks for Hamiltonian Systems, P. Horn, V. Saz Ulibarrena, B. Koren, S. Portegies Zwart, Journal of Computational Physics, Volume 521, Part 1, January 2025, 113536. Link to publication
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Reinforcement Learning for Adaptive Time-Stepping in the Chaotic Gravitational Three-Body Problem, V. Saz Ulibarrena, S. Portegies Zwart, Communications in Nonlinear Science and Numerical Simulation, Voume 145, June 2025, 108723. Link to publication