Jan S. Hesthaven
- A graph convolutional autoencoder approach to model order reduction for parametrized PDEs
2023/05/15 by Federico Pichi, Beatriz Moya, Pichi, Federico +3 · 7 citations
Engineering · Materials Science · Physics and Astronomy · #65M22 #65M60 #68T07 #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning in Materials Science #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Real-time simulation and control systems
- Structure Preserving Model Reduction of Parametric Hamiltonian Systems
2017/01/01 by Babak Maboudi Afkham, Jan S. Hesthaven · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Model Reduction and Neural Networks #Modeling and Simulation Systems #Numerical methods for differential equations
- GFN: A graph feedforward network for resolution-invariant reduced operator learning in multifidelity applications
2024/06/05 by Oisín M. Morrison, Federico Pichi, Morrison, Oisín M. +3 · 4 citations
Computer Science · Engineering · #Domain Adaptation and Few-Shot Learning #FOS: Computer and information sciences #FOS: Mathematics #Face and Expression Recognition #Machine Learning (cs.LG) #Medical Imaging and Analysis #Numerical Analysis (math.NA)
- Recurrent neural network closure of parametric POD-Galerkin reduced-order models based on the Mori-Zwanzig formalism
2020/03/12 by Qian Wang, Nicolò Ripamonti, Jan S. Hesthaven · 2 citations
Physics and Astronomy · Mathematics · Materials Science · #Model Reduction and Neural Networks #Numerical methods for differential equations #Magnetic Properties and Applications
- Adaptive symplectic model order reduction of parametric particle-based Vlasov-Poisson equation
2022/01/14 by Jan S. Hesthaven, Hesthaven, Jan S., Cecilia Pagliantini +3 · 1 citation
Physics and Astronomy · #FOS: Mathematics #Gamma-ray bursts and supernovae #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Quantum, superfluid, helium dynamics
- Neural empirical interpolation method for nonlinear model reduction
2024/06/05 by Max Hirsch, Federico Pichi, Hirsch, Max +3 · 3 citations
Computer Science · Engineering · #41A05 #41A46 #65N22 #68T07 #76A15 #FOS: Computer and information sciences #FOS: Mathematics #Fault Detection and Control Systems #Machine Learning (cs.LG) #Neural Networks and Applications #Numerical Analysis (math.NA)