Samuel Lanthaler
- Error estimates for DeepOnets: A deep learning framework in infinite dimensions
2021/02/18 by Samuel Lanthaler, Lanthaler, Samuel, Siddhartha Mishra +3 · 14 citations
Physics and Astronomy · Environmental Science · Earth and Planetary Sciences · #Model Reduction and Neural Networks #Groundwater flow and contamination studies #Seismic Imaging and Inversion Techniques
- Generative AI for fast and accurate statistical computation of fluids
2024/09/27 by Roberto Molinaro, Samuel Lanthaler, Molinaro, Roberto +22 · 1 voice · 10 citations
Computer Science · Engineering · Physics and Astronomy · #Model Reduction and Neural Networks #Reservoir Engineering and Simulation Methods #Time Series Analysis and Forecasting #cs.LG #math.NA #physics.flu-dyn
- Nonlocality and Nonlinearity Implies Universality in Operator Learning
2023/04/26 by Samuel Lanthaler, Lanthaler, Samuel, Zongyi Li +3 · 7 citations
Computer Science · Physics and Astronomy · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Neural Networks and Applications #Numerical Analysis (math.NA)
- Data Complexity Estimates for Operator Learning
2024/05/25 by Nikola Kovachki, Kovachki, Nikola B., Samuel Lanthaler +3 · 6 citations
Computer Science · Engineering · #Anomaly Detection Techniques and Applications #FOS: Computer and information sciences #FOS: Mathematics #Fault Detection and Control Systems #Machine Learning (cs.LG) #Machine Learning and Data Classification #Numerical Analysis (math.NA)
- Neural Oscillators are Universal
2023/05/15 by Samuel Lanthaler, Lanthaler, Samuel, T. Konstantin Rusch +3 · 4 citations
Computer Science · Physics and Astronomy · Engineering · #Neural Networks and Applications #Model Reduction and Neural Networks #Control Systems and Identification
- Operator Learning of Lipschitz Operators: An Information-Theoretic Perspective
2024/06/26 by Samuel Lanthaler, Lanthaler, Samuel · 3 citations
Computer Science · Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Neural Networks and Applications #Numerical Analysis (math.NA) #Numerical methods in inverse problems
- Sharp conditions for energy balance in two-dimensional incompressible ideal flow with external force
2024/04/19 by Fabian Jin, Jin, Fabian, Samuel Lanthaler +5 · 1 citation
Engineering · Mathematics · #35Q30 #35Q31 #76B99 #76D05 #76F99 #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations