Dongbin Xiu

1. Learning Stochastic Dynamical System via Flow Map Operator
   2023/05/05 by Yuan Chen, Chen, Yuan, Dongbin Xiu +1 · 7 citations
   Physics and Astronomy · Computer Science · #Model Reduction and Neural Networks #Gaussian Processes and Bayesian Inference #Neural Networks and Applications
2. Flow Map Learning for Unknown Dynamical Systems: Overview, Implementation, and Benchmarks
   2023/07/20 by Victor Churchill, Churchill, Victor, Dongbin Xiu +1 · 5 citations
   Physics and Astronomy · Computer Science · Engineering · #Model Reduction and Neural Networks #Gaussian Processes and Bayesian Inference #Energy Load and Power Forecasting
3. Deep learning of parameterized equations with applications to uncertainty quantification
   2019/10/15 by Tong Qin, Qin, Tong, Zhe Chen +5 · 3 citations
   Decision Sciences · Engineering · Physics and Astronomy · #Computational Physics (physics.comp-ph) #Control Systems and Identification #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Probabilistic and Robust Engineering Design
4. Data-driven Effective Modeling of Multiscale Stochastic Dynamical Systems
   2024/08/27 by Yuan Chen, Chen, Yuan, Dongbin Xiu +1 · 3 citations
   Computer Science · #60H10 #60H35 #62M45 #65C30 #Advanced Mathematical Modeling in Engineering #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Numerical Analysis (math.NA)
5. On enforcing non-negativity in polynomial approximations in high dimensions
   2024/01/23 by Yuan Chen, Chen, Yuan, Dongbin Xiu +3 · 2 citations
   Mathematics · Computer Science · #Advanced Optimization Algorithms Research #Numerical Methods and Algorithms #Matrix Theory and Algorithms
6. Modeling unknown dynamical systems with hidden parameters
   2022/02/03 by Xiaohan Fu, Weize Mao, Fu, Xiaohan +5 · 1 citation
   Engineering · Physics and Astronomy · #Control Systems and Identification #FOS: Computer and information sciences #Fault Detection and Control Systems #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Model Reduction and Neural Networks
7. DUE: A Deep Learning Framework and Library for Modeling Unknown Equations
   2025/04/14 by Junfeng Chen, Chen, Junfeng, Kailiang Wu +3 · 2 citations
   Engineering · #Advanced Data Processing Techniques #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Numerical Analysis (math.NA)