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1. Reduced Order Data-driven Twin Models for Nonlinear PDEs by Randomized Koopman Orthogonal Decomposition and Explainable Deep Learning
   2025/08/05 by Bistrian, D. A. · 2 citations
   #00A71 #34A45 #46N40 #FOS: Mathematics #Numerical Analysis (math.NA)
2. Viscous regularization of the MHD equations
   2024/02/06 by Tuan Anh Dao, Dao, Tuan Anh, Lukas Lundgren +3 · 1 citation
   Engineering · Mathematics · #34A45 #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #G.1.8 #Gas Dynamics and Kinetic Theory #Nanofluid Flow and Heat Transfer #Numerical Analysis (math.NA)
3. Phase Diagram of Initial Condensation for Two-layer Neural Networks
   2023/03/12 by Zhengan Chen, Chen, Zhengan, Yuqing Li +7 · 2 citations
   Computer Science · Materials Science · Physics and Astronomy · #34A45 #68U99 #90C26 #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Machine Learning in Materials Science #Model Reduction and Neural Networks #Neural Networks and Applications #Optimization and Control (math.OC)
4. Model Reduction for Nonlinear Systems by Balanced Truncation of State and Gradient Covariance
   2022/07/28 by Otto, Samuel E., Padovan, Alberto, Rowley, Clarence W. · 1 citation
   #14M15 #15A03 #15A24 #15A42 #34A45 #34C20 #47B32 #57R35 #57R40 #76D55 #90C06 #93A15 #93C10 #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Electrical engineering #FOS: Mathematics #Machine Learning (cs.LG) #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
5. Optimizing Oblique Projections for Nonlinear Systems using Trajectories
   2021/06/02 by Otto, Samuel E., Padovan, Alberto, Rowley, Clarence W. · 1 citation
   #14M15 #15A03 #34A45 #34C20 #49J27 #49J30 #49M37 #76D55 #90C06 #90C26 #90C45 #93A15 #93C10 #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Optimization and Control (math.OC)
6. A general formula for the Magnus expansion in terms of iterated integrals of right-nested commutators
   2017/10/30 by Arnal, Ana, Casas, Fernando, Chiralt, Cristina · 1 citation
   #16T05 #34A45 #FOS: Physical sciences #Mathematical Physics (math-ph)
7. Solving Stochastic Inverse Problems using Sigma-Algebras on Contour Maps
   2014/07/15 by Troy Butler, D. Estep, Butler, Troy +9 · 1 citation
   Computer Science · Engineering · Mathematics · #28-02 #28C99 #34A45 #60F99 #97N40 #Advanced Control Systems Optimization #Advanced Multi-Objective Optimization Algorithms #Advanced Optimization Algorithms Research #FOS: Mathematics #Numerical Analysis (math.NA)