Marius Zeinhofer

1. Error Estimates for the Deep Ritz Method with Boundary Penalty
   2021/03/01 by Johannes Müller, Müller, Johannes, Marius Zeinhofer +1 · 5 citations
   Engineering · Physics and Astronomy · #65N15 #68T07 #Advanced Numerical Analysis Techniques #Advanced Numerical Methods in Computational Mathematics #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Numerical Analysis (math.NA)
2. A Unified Framework for the Error Analysis of Physics-Informed Neural Networks
   2023/11/01 by Marius Zeinhofer, Rami Masri, Zeinhofer, Marius +3 · 6 citations
   Engineering · Physics and Astronomy · #65M12 #65M15 #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Model Reduction and Neural Networks #Nuclear reactor physics and engineering #Numerical Analysis (math.NA)
3. Gauss-Newton Natural Gradient Descent for Physics-Informed Computational Fluid Dynamics
   2024/02/16 by Anas Jnini, Flavio Vella, Jnini, Anas +3 · 6 citations
   Engineering · #Computational Fluid Dynamics and Aerodynamics #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Optimization and Control (math.OC) #Plasma and Flow Control in Aerodynamics
4. Improving Energy Natural Gradient Descent through Woodbury, Momentum, and Randomization
   2025/05/17 by Andrés Guzmán-Cordero, Felix Dangel, Guzmán-Cordero, Andrés +5 · 6 citations
   Computer Science · Physics and Astronomy · Materials Science · #Stochastic Gradient Optimization Techniques #Model Reduction and Neural Networks #Machine Learning in Materials Science
5. The modelling error in multi-dimensional time-dependent solute transport models
   2023/03/31 by Rami Masri, Marius Zeinhofer, Masri, Rami +5 · 2 citations
   Environmental Science · Computer Science · Mathematics · #Groundwater flow and contamination studies #Advanced Mathematical Modeling in Engineering #Mathematical Biology Tumor Growth
6. Functional Neural Wavefunction Optimization
   2025/07/14 by Victor Armegioiu, Juan Carrasquilla, Armegioiu, Victor +11 · 2 citations
   Computer Science · #Computational Physics (physics.comp-ph) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Machine Learning (cs.LG) #Neural Networks and Applications #Optimization and Control (math.OC) #Quantum Physics (quant-ph) #Strongly Correlated Electrons (cond-mat.str-el)