Liu, Burigede
- Fourier Neural Operator for Parametric Partial Differential Equations
2020/10/18 by Zongyi Li, Nikola Kovachki, Li, Zongyi +12 · 2 voices · 657 citations
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Fluid Dynamics and Turbulent Flows #Meteorological Phenomena and Simulations #Model Reduction and Neural Networks #cs.LG #math.NA
- Neural Operator: Graph Kernel Network for Partial Differential Equations
2020/03/07 by Zongyi Li, Nikola Kovachki, Li, Zongyi +11 · 152 citations
Computer Science · Physics and Astronomy · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Machine Learning in Healthcare #Model Reduction and Neural Networks #Neural Networks and Applications #Numerical Analysis (math.NA)
- Physics-Informed Neural Operator for Learning Partial Differential Equations
2021/11/06 by Zongyi Li, Li, Zongyi, Hongkai Zheng +13 · 118 citations
Engineering · Physics and Astronomy · #FOS: Computer and information sciences #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Nuclear Engineering Thermal-Hydraulics #Numerical Analysis (math.NA)
- Multipole Graph Neural Operator for Parametric Partial Differential Equations
2020/06/16 by Zongyi Li, Li, Zongyi, Nikola Kovachki +11 · 65 citations
Physics and Astronomy · Engineering · Computer Science · #Model Reduction and Neural Networks #Electromagnetic Simulation and Numerical Methods #Computational Physics and Python Applications
- Learning Dissipative Dynamics in Chaotic Systems
2021/06/13 by Zongyi Li, Li, Zongyi, Miguel Liu-Schiaffini +13 · 11 citations
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Gaussian Processes and Bayesian Inference #Machine Learning (cs.LG) #Model Reduction and Neural Networks
- Learning Markovian Homogenized Models in Viscoelasticity
2022/05/27 by Kaushik Bhattacharya, Bhattacharya, Kaushik, Burigede Liu +5 · 5 citations
Computer Science · Engineering · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Composite Material Mechanics #Model Reduction and Neural Networks
- A Learning-Based Optimal Uncertainty Quantification Method and Its Application to Ballistic Impact Problems
2022/12/28 by Xingsheng Sun, Sun, Xingsheng, Burigede Liu +1 · 2 citations
Decision Sciences · Engineering · #Concrete Corrosion and Durability #FOS: Computer and information sciences #FOS: Physical sciences #Fault Detection and Control Systems #Machine Learning (cs.LG) #Materials Science (cond-mat.mtrl-sci) #Probabilistic and Robust Engineering Design
- Multiscale modeling of materials: Computing, data science,uncertainty\n and goal-oriented optimization
2021/04/12 by Nikola Kovachki, Kovachki, Nikola, Burigede Liu +11 · 1 citation
Chemical Engineering · Materials Science · #Advanced ceramic materials synthesis #Catalysis and Oxidation Reactions #FOS: Physical sciences #Machine Learning in Materials Science #Materials Science (cond-mat.mtrl-sci)
- A Learning-based Domain Decomposition Method
2025/07/23 by Rui Wu, Wu, Rui, Nikola Kovachki +3 · 2 citations
Engineering · Physics and Astronomy · #Composite Material Mechanics #FOS: Computer and information sciences #FOS: Physical sciences #Machine Learning (cs.LG) #Mathematical Physics (math-ph) #Model Reduction and Neural Networks #Numerical methods in engineering