Stuart, Andrew
- Fourier Neural Operator for Parametric Partial Differential Equations
2020/10/18 by Zongyi Li, Nikola Kovachki, Li, Zongyi +12 · 2 voices · 603 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 · 135 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)
- Multipole Graph Neural Operator for Parametric Partial Differential Equations
2020/06/16 by Zongyi Li, Li, Zongyi, Nikola Kovachki +11 · 57 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 · 8 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
- Convergence Analysis of Ensemble Kalman Inversion: The Linear, Noisy Case
2017/02/25 by Schillings, Claudia, Stuart, Andrew · 5 citations
#FOS: Mathematics #Numerical Analysis (math.NA)
- Besov priors for Bayesian inverse problems
2011/05/04 by Dashti, Masoumeh, Harris, Stephen, Stuart, Andrew · 3 citations
#FOS: Mathematics #Statistics Theory (math.ST)
- Sequential Monte Carlo Methods for Bayesian Elliptic Inverse Problems
2014/12/15 by Alex Beskos, Beskos, Alex, Ajay Jasra +5 · 3 citations
Decision Sciences · Earth and Planetary Sciences · Environmental Science · #Computation (stat.CO) #FOS: Computer and information sciences #Groundwater flow and contamination studies #Probabilistic and Robust Engineering Design #Seismic Imaging and Inversion Techniques
- Hard Constraint Guided Flow Matching for Gradient-Free Generation of PDE Solutions
2024/12/02 by Chaoran Cheng, Boran Han, Cheng, Chaoran +11 · 11 citations
Engineering · #Advanced Control Systems Optimization #FOS: Computer and information sciences #Iterative Learning Control Systems #Machine Learning (cs.LG) #Reservoir Engineering and Simulation Methods
- Learning About Structural Errors in Models of Complex Dynamical Systems
2023/12/29 by Jinlong Wu, Matthew E. Levine, Wu, Jin-Long +5 · 5 citations
Earth and Planetary Sciences · Environmental Science · #68T01 #Computational Physics (physics.comp-ph) #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Hydrology and Watershed Management Studies #Machine Learning (cs.LG) #Meteorological Phenomena and Simulations
- Introduction To Gaussian Process Regression In Bayesian Inverse Problems, With New ResultsOn Experimental Design For Weighted Error Measures
2023/02/09 by Tapio Helin, Andrew M. Stuart, Helin, Tapio +5 · 2 citations
Computer Science · Mathematics · #Advanced Multi-Objective Optimization Algorithms #FOS: Computer and information sciences #FOS: Mathematics #Gaussian Processes and Bayesian Inference #Machine Learning (stat.ML) #Numerical Analysis (math.NA) #Statistical Methods and Inference #Statistics Theory (math.ST)
- Probability Measures for Numerical Solutions of Differential Equations
2015/06/15 by Patrick R. Conrad, Conrad, Patrick R., Mark Girolami +7 · 1 citation
Computer Science · Decision Sciences · Physics and Astronomy · #FOS: Computer and information sciences #Gaussian Processes and Bayesian Inference #Methodology (stat.ME) #Model Reduction and Neural Networks #Probabilistic and Robust Engineering Design
- Using Uncertainty Quantification to Characterize and Improve Out-of-Domain Learning for PDEs
2024/03/15 by S. Chandra Mouli, Danielle C. Maddix, Mouli, S. Chandra +11 · 3 citations
Decision Sciences · Engineering · #FOS: Computer and information sciences #FOS: Mathematics #Fault Detection and Control Systems #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #Probabilistic and Robust Engineering Design #Water Systems and Optimization
- Machine Learning for Inverse Problems and Data Assimilation
2024/10/14 by Eviatar Bach, Ricardo Baptista, Bach, Eviatar +5 · 1 voice · 3 citations
Computer Science · Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Optimization and Control (math.OC) #cs.LG #math.OC #stat.ML
- Multiscale modeling of materials: Computing, data science,uncertainty\n and goal-oriented optimization
2021/04/12 by Nikola Kovachki, Burigede Liu, Kovachki, Nikola +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)
- DreamBlend: Advancing Personalized Fine-tuning of Text-to-Image Diffusion Models
2024/11/28 by Sabita Ram, Tal Neiman, Ram, Shwetha +9 · 2 citations
Computer Science · Biochemistry, Genetics and Molecular Biology · Engineering · #Image Retrieval and Classification Techniques #Biomedical Text Mining and Ontologies #3D Modeling in Geospatial Applications
- Comparing and Contrasting Deep Learning Weather Prediction Backbones on Navier-Stokes and Atmospheric Dynamics
2024/07/19 by Karlbauer, Matthias, Maddix, Danielle C., Ansari, Abdul Fatir +5 · 2 citations
#FOS: Computer and information sciences #Machine Learning (cs.LG)
- Learning Optimal Filters Using Variational Inference
2024/06/26 by Eviatar Bach, Ricardo Baptista, Bach, Eviatar +5 · 1 citation
Computer Science · Engineering · #Neural Networks and Applications #Speech and Audio Processing #Advanced Algorithms and Applications
- Learning Enhanced Ensemble Filters
2025/04/24 by Eviatar Bach, Bach, Eviatar, Ricardo Baptista +7 · 2 citations
Computer Science · Engineering · #Advanced Adaptive Filtering Techniques #Computational Physics (physics.comp-ph) #FOS: Computer and information sciences #FOS: Electrical engineering #FOS: Physical sciences #Gaussian Processes and Bayesian Inference #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Systems and Control (eess.SY) #Target Tracking and Data Fusion in Sensor Networks #electronic engineering #information engineering
- Learning Memory and Material Dependent Constitutive Laws
2025/02/08 by Bhattacharya, Kaushik, Cao, Lianghao, Stepaniants, George +2 · 1 citation
#35B27 #65M60 #68T07 #74D05 #74D10 #74Q10 #74Q15 #FOS: Computer and information sciences #FOS: Mathematics #G.1.8 #I.6 #J.2 #Machine Learning (cs.LG) #Numerical Analysis (math.NA)