Karen Willcox
- A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
2015/01/01 by Peter Benner, Serkan Gugercin, Karen Willcox · 173 citations
Physics and Astronomy · Decision Sciences · Engineering · #Model Reduction and Neural Networks #Probabilistic and Robust Engineering Design #Real-time simulation and control systems
- Balanced Model Reduction via the Proper Orthogonal Decomposition
2002/11/01 by K. Willcox, Karen Willcox, J. Peraire · 48 citations
Physics and Astronomy · Decision Sciences · Engineering · #Model Reduction and Neural Networks #Probabilistic and Robust Engineering Design #Computational Fluid Dynamics and Aerodynamics
- Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization
2018/01/01 by Benjamin Peherstorfer, Karen Willcox, Max Gunzburger · 71 citations
Decision Sciences · Computer Science · Physics and Astronomy · #Probabilistic and Robust Engineering Design #Advanced Multi-Objective Optimization Algorithms #Model Reduction and Neural Networks
- Aerodynamic Data Reconstruction and Inverse Design Using Proper Orthogonal Decomposition
2004/08/01 by Tan Bui–Thanh, T. Bui-Thanh, M. Damodaran +2 · 27 citations
Physics and Astronomy · Engineering · Decision Sciences · #Model Reduction and Neural Networks #Computational Fluid Dynamics and Aerodynamics #Probabilistic and Robust Engineering Design
- Survey of multifidelity methods in uncertainty propagation, inference,\n and optimization
2018/06/28 by Benjamin Peherstorfer, Peherstorfer, Benjamin, Karen Willcox +3 · 38 citations
Decision Sciences · Computer Science · #Probabilistic and Robust Engineering Design #Advanced Multi-Objective Optimization Algorithms #Machine Learning and Data Classification
- Optimal Model Management for Multifidelity Monte Carlo Estimation
2016/01/01 by Benjamin Peherstorfer, Karen Willcox, Max Gunzburger · 19 citations
Computer Science · Decision Sciences · Physics and Astronomy · #Advanced Multi-Objective Optimization Algorithms #Model Reduction and Neural Networks #Probabilistic and Robust Engineering Design
- Model Reduction for Large-Scale Systems with High-Dimensional Parametric Input Space
2008/01/01 by Tan Bui–Thanh, T. Bui-Thanh, K. Willcox +3 · 9 citations
Computer Science · Decision Sciences · Physics and Astronomy · #Advanced Multi-Objective Optimization Algorithms #Model Reduction and Neural Networks #Probabilistic and Robust Engineering Design
- Non-intrusive reduced-order models for parametric partial differential equations via data-driven operator inference
2021/10/14 by Shane A. McQuarrie, McQuarrie, Shane A, Parisa Khodabakhshi +3 · 14 citations
Computer Science · Materials Science · Physics and Astronomy · #35B30 #35R30 #65F22 #Computational Engineering #FOS: Computer and information sciences #FOS: Mathematics #Finance #Magnetic Properties and Applications #Model Reduction and Neural Networks #Neural Networks and Applications #Numerical Analysis (math.NA) #and Science (cs.CE)
- A Probabilistic Graphical Model Foundation for Enabling Predictive\n Digital Twins at Scale
2020/12/10 by Michael G. Kapteyn, Kapteyn, Michael G., Jacob V. R. Pretorius +3 · 11 citations
Computer Science · Engineering · #Artificial Intelligence (cs.AI) #Computational Engineering #Digital Transformation in Industry #FOS: Computer and information sciences #FOS: Mathematics #Finance #Machine Learning (cs.LG) #Neural Networks and Applications #Optimization and Control (math.OC) #Real-time simulation and control systems #and Science (cs.CE)
- Reduced operator inference for nonlinear partial differential equations
2021/01/29 by Elizabeth Qian, Qian, Elizabeth, Ionuț-Gabriel Farcaș +3 · 9 citations
Engineering · Mathematics · Physics and Astronomy · #FOS: Computer and information sciences #FOS: Mathematics #Heat Transfer and Optimization #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical methods for differential equations
- Learning physics-based reduced-order models from data using nonlinear manifolds
2023/08/05 by Rudy Geelen, Laura Balzano, Geelen, Rudy +5 · 10 citations
Computer Science · Engineering · Physics and Astronomy · #Control Systems and Identification #FOS: Mathematics #Model Reduction and Neural Networks #Neural Networks and Applications #Numerical Analysis (math.NA)
- Goal-oriented optimal approximations of Bayesian linear inverse problems
2016/07/07 by Alessio Spantini, Tiangang Cui, Spantini, Alessio +7 · 4 citations
Computer Science · Mathematics · #Computation (stat.CO) #FOS: Computer and information sciences #FOS: Mathematics #Gaussian Processes and Bayesian Inference #Methodology (stat.ME) #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Statistical Methods and Inference
- Online Adaptive Model Reduction for Nonlinear Systems via Low-Rank Updates
2015/01/01 by Benjamin Peherstorfer, Karen Willcox · 5 citations
Engineering · Physics and Astronomy · #Computational Fluid Dynamics and Aerodynamics #Fluid Dynamics and Vibration Analysis #Model Reduction and Neural Networks
- Balanced Truncation Model Reduction for Lifted Nonlinear Systems
2019/07/28 by Boris Kramer, Kramer, Boris, Karen Willcox +1 · 2 citations
Physics and Astronomy · Mathematics · Engineering · #Model Reduction and Neural Networks #Numerical methods for differential equations #Vibration Control and Rheological Fluids
- Domain Decomposition for Data-Driven Reduced Modeling of Large-Scale Systems
2024/09/25 by Ionuț-Gabriel Farcaș, Ionut-Gabriel Farcas, Rayomand P. Gundevia +3 · 3 citations
Physics and Astronomy · Engineering · Decision Sciences · #Model Reduction and Neural Networks #Real-time simulation and control systems #Probabilistic and Robust Engineering Design
- Influence of Transonic Flutter on the Conceptual Design of Next-Generation Transport Aircraft
2019/03/13 by Max M. J. Opgenoord, Mark Drela, Karen E. Willcox +1 · 1 citation
Engineering · Physics and Astronomy · #Computational Fluid Dynamics and Aerodynamics #Aeroelasticity and Vibration Control #Model Reduction and Neural Networks
- Non-intrusive reduced-order modeling for dynamical systems with spatially localized features
2025/01/08 by Leonidas Gkimisis, Gkimisis, Leonidas, Nicole Aretz +9 · 4 citations
Computer Science · Engineering · Physics and Astronomy · #Advanced Measurement and Metrology Techniques #Computer Graphics and Visualization Techniques #Dynamical Systems (math.DS) #FOS: Mathematics #Model Reduction and Neural Networks
- A digital twin framework for civil engineering structures
2023/11/08 by Matteo Torzoni, Marco Tezzele, Stefano Mariani +3 · 1 citation
Engineering · #Integrated Circuits and Semiconductor Failure Analysis #Machine Fault Diagnosis Techniques #Manufacturing Process and Optimization
- Multifidelity Uncertainty Quantification for Ice Sheet Simulations
2024/12/08 by Nicole Aretz, Aretz, Nicole, Max Gunzburger +5 · 2 citations
Earth and Planetary Sciences · Environmental Science · #Cryospheric studies and observations #Landslides and related hazards #Meteorological Phenomena and Simulations
- Formal Verification of Digital Twins with TLA and Information Leakage Control
2024/11/27 by Luwen Huang, Lav R. Varshney, Huang, Luwen +3 · 1 citation
Engineering · #Cryptography and Security (cs.CR) #Digital Transformation in Industry #Distributed #FOS: Computer and information sciences #FOS: Electrical engineering #Information Theory (cs.IT) #Parallel #Systems and Control (eess.SY) #and Cluster Computing (cs.DC) #electronic engineering #information engineering