Karen Willcox

Orcid: 0000-0003-2156-9338

According to our database1, Karen Willcox authored at least 86 papers between 2005 and 2024.

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Bibliography

2024
The role of computational science in digital twins.
Nat. Comput. Sci., 2024

Digital twins in mechanical and aerospace engineering.
Nat. Comput. Sci., 2024

Real-time aerodynamic load estimation for hypersonics via strain-based inverse maps.
CoRR, 2024

Bayesian learning with Gaussian processes for low-dimensional representations of time-dependent nonlinear systems.
CoRR, 2024

Adaptive planning for risk-aware predictive digital twins.
CoRR, 2024

Distributed computing for physics-based data-driven reduced modeling at scale: Application to a rotating detonation rocket engine.
CoRR, 2024

2023
Nonintrusive Reduced-Order Models for Parametric Partial Differential Equations via Data-Driven Operator Inference.
SIAM J. Sci. Comput., August, 2023

Predictive digital twin for optimizing patient-specific radiotherapy regimens under uncertainty in high-grade gliomas.
Frontiers Artif. Intell., February, 2023

Improving the accuracy and scalability of large-scale physics-based data-driven reduced modeling via domain decomposition.
CoRR, 2023

Multifidelity Methods for Uncertainty Quantification of a Nonlocal Model for Phase Changes in Materials.
CoRR, 2023

Learning physics-based reduced-order models from data using nonlinear manifolds.
CoRR, 2023

A digital twin framework for civil engineering structures.
CoRR, 2023

Multi-output multilevel best linear unbiased estimators via semidefinite programming.
CoRR, 2023

Learning Latent Representations in High-Dimensional State Spaces Using Polynomial Manifold Constructions.
Proceedings of the 62nd IEEE Conference on Decision and Control, 2023

2022
Reduced Operator Inference for Nonlinear Partial Differential Equations.
SIAM J. Sci. Comput., 2022

Stress-constrained topology optimization of lattice-like structures using component-wise reduced order models.
CoRR, 2022

Operator inference for non-intrusive model reduction with nonlinear manifolds.
CoRR, 2022

Bayesian operator inference for data-driven reduced-order modeling.
CoRR, 2022

Generalized Multifidelity Active Learning for Gaussian-process-based Reliability Analysis.
Proceedings of the Dynamic Data Driven Applications Systems - 4th International Conference, 2022

2021
Learning physics-based models from data: perspectives from inverse problems and model reduction.
Acta Numer., May, 2021

The imperative of physics-based modeling and inverse theory in computational science.
Nat. Comput. Sci., 2021

Scaling digital twins from the artisanal to the industrial.
Nat. Comput. Sci., 2021

A probabilistic graphical model foundation for enabling predictive digital twins at scale.
Nat. Comput. Sci., 2021

Adaptive Projected Residual Networks for Learning Parametric Maps from Sparse Data.
CoRR, 2021

Non-intrusive reduced-order models for parametric partial differential equations via data-driven operator inference.
CoRR, 2021

Certifiable Risk-Based Engineering Design Optimization.
CoRR, 2021

A multifidelity method for a nonlocal diffusion model.
Appl. Math. Lett., 2021

2020
Multifidelity Dimension Reduction via Active Subspaces.
SIAM J. Sci. Comput., 2020

Information Reuse for Importance Sampling in Reliability-Based Design Optimization.
Reliab. Eng. Syst. Saf., 2020

Data-driven reduced-order models via regularized operator inference for a single-injector combustion process.
CoRR, 2020

From Physics-Based Models to Predictive Digital Twins via Interpretable Machine Learning.
CoRR, 2020

Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms.
CoRR, 2020

A Hardware Testbed for Dynamic Data-Driven Aerospace Digital Twins.
Proceedings of the Dynamic Data Driven Applications Systems, 2020

Predictive Digital Twins: Where Dynamic Data-Driven Learning Meets Physics-Based Modeling.
Proceedings of the Dynamic Data Driven Applications Systems, 2020

2019
Multifidelity probability estimation via fusion of estimators.
J. Comput. Phys., 2019

Lift & Learn: Physics-informed machine learning for large-scale nonlinear dynamical systems.
CoRR, 2019

mfEGRA: Multifidelity Efficient Global Reliability Analysis.
CoRR, 2019

Learning physics-based reduced-order models for a single-injector combustion process.
CoRR, 2019

Balanced Truncation Model Reduction for Lifted Nonlinear Systems.
CoRR, 2019

2018
Research and Education in Computational Science and Engineering.
SIAM Rev., 2018

Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization.
SIAM Rev., 2018

Geometric Subspace Updates with Applications to Online Adaptive Nonlinear Model Reduction.
SIAM J. Matrix Anal. Appl., 2018

Sensitivity analysis methods for mitigating uncertainty in engineering system design.
Syst. Eng., 2018

Convergence analysis of multifidelity Monte Carlo estimation.
Numerische Mathematik, 2018

Multifidelity Monte Carlo Estimation of Variance and Sensitivity Indices.
SIAM/ASA J. Uncertain. Quantification, 2018

Multifidelity Preconditioning of the Cross-Entropy Method for Rare Event Simulation and Failure Probability Estimation.
SIAM/ASA J. Uncertain. Quantification, 2018

Conditional-Value-at-Risk Estimation via Reduced-Order Models.
SIAM/ASA J. Uncertain. Quantification, 2018

Nonlinear Model Order Reduction via Lifting Transformations and Proper Orthogonal Decomposition.
CoRR, 2018

Contour location via entropy reduction leveraging multiple information sources.
Proceedings of the Advances in Neural Information Processing Systems 31: Annual Conference on Neural Information Processing Systems 2018, 2018

2017
Goal-Oriented Optimal Approximations of Bayesian Linear Inverse Problems.
SIAM J. Sci. Comput., 2017

A Certified Trust Region Reduced Basis Approach to PDE-Constrained Optimization.
SIAM J. Sci. Comput., 2017

Data-Driven Reduced Model Construction with Time-Domain Loewner Models.
SIAM J. Sci. Comput., 2017

Feedback Control for Systems with Uncertain Parameters Using Online-Adaptive Reduced Models.
SIAM J. Appl. Dyn. Syst., 2017

Optimal L<sub>2</sub>-norm empirical importance weights for the change of probability measure.
Stat. Comput., 2017

Combining multiple surrogate models to accelerate failure probability estimation with expensive high-fidelity models.
J. Comput. Phys., 2017

A decomposition-based uncertainty quantification approach for environmental impacts of aviation technology and operation.
Artif. Intell. Eng. Des. Anal. Manuf., 2017

Lookahead Bayesian Optimization with Inequality Constraints.
Proceedings of the Advances in Neural Information Processing Systems 30: Annual Conference on Neural Information Processing Systems 2017, 2017

2016
An Accelerated Greedy Missing Point Estimation Procedure.
SIAM J. Sci. Comput., 2016

Optimal Model Management for Multifidelity Monte Carlo Estimation.
SIAM J. Sci. Comput., 2016

Scalable posterior approximations for large-scale Bayesian inverse problems via likelihood-informed parameter and state reduction.
J. Comput. Phys., 2016

Research and Education in Computational Science and Engineering.
CoRR, 2016

Dynamic data-driven model reduction: adapting reduced models from incomplete data.
Adv. Model. Simul. Eng. Sci., 2016

Bayesian Optimization with a Finite Budget: An Approximate Dynamic Programming Approach.
Proceedings of the Advances in Neural Information Processing Systems 29: Annual Conference on Neural Information Processing Systems 2016, 2016

2015
Online Adaptive Model Reduction for Nonlinear Systems via Low-Rank Updates.
SIAM J. Sci. Comput., 2015

A Domain Decomposition Approach for Uncertainty Analysis.
SIAM J. Sci. Comput., 2015

A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems.
SIAM Rev., 2015

Detecting and Adapting to Parameter Changes for Reduced Models of Dynamic Data-driven Application Systems.
Proceedings of the International Conference on Computational Science, 2015

2014
Localized Discrete Empirical Interpolation Method.
SIAM J. Sci. Comput., 2014

Nonlinear Goal-Oriented Bayesian Inference: Application to Carbon Capture and Storage.
SIAM J. Sci. Comput., 2014

Uncertainty quantification of an Aviation Environmental Toolsuite.
Reliab. Eng. Syst. Saf., 2014

Multifidelity DDDAS Methods with Application to a Self-aware Aerospace Vehicle.
Proceedings of the International Conference on Computational Science, 2014

2013
Goal-Oriented Inference: Approach, Linear Theory, and Application to Advection Diffusion.
SIAM Rev., 2013

An Offline/Online DDDAS Capability for Self-Aware Aerospace Vehicles.
Proceedings of the International Conference on Computational Science, 2013

2012
A variance-based sensitivity index function for factor prioritization.
Reliab. Eng. Syst. Saf., 2012

Dynamic Data Driven Methods for Self-aware Aerospace Vehicles.
Proceedings of the International Conference on Computational Science, 2012

Fusing information from multifidelity computer models of physical systems.
Proceedings of the 15th International Conference on Information Fusion, 2012

2010
Parameter and State Model Reduction for Large-Scale Statistical Inverse Problems.
SIAM J. Sci. Comput., 2010

2008
Missing Point Estimation in Models Described by Proper Orthogonal Decomposition.
IEEE Trans. Autom. Control., 2008

Model Reduction for Large-Scale Systems with High-Dimensional Parametric Input Space.
SIAM J. Sci. Comput., 2008

Krylov projection framework for Fourier model reduction.
Autom., 2008

2007
Goal-oriented, model-constrained optimization for reduction of large-scale systems.
J. Comput. Phys., 2007

Hessian-Based Model Reduction for Large-Scale Data Assimilation Problems.
Proceedings of the Computational Science, 2007

Application of quantized control to human self-rotation maneuvers in microgravity.
Proceedings of the 46th IEEE Conference on Decision and Control, 2007

2006
MPC for Large-Scale Systems via Model Reduction and Multiparametric Quadratic Programming.
Proceedings of the 45th IEEE Conference on Decision and Control, 2006

2005
Fourier Series for Accurate, Stable, Reduced-Order Models in Large-Scale Linear Applications.
SIAM J. Sci. Comput., 2005

An Optimization Frame work for Goal-Oriented, Model-Based Reduction of Large-Scale Systems.
Proceedings of the 44th IEEE IEEE Conference on Decision and Control and 8th European Control Conference Control, 2005


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