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07/14/2023
Global sensitivity analysis in the limited data setting with application to char combustion
In uncertainty quantification, variance-based global sensitivity analysi...
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03/17/2023
Exact and optimal quadratization of nonlinear finite-dimensional non-autonomous dynamical systems
Quadratization of polynomial and nonpolynomial systems of ordinary diffe...
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03/11/2023
An approximate control variates approach to multifidelity distribution estimation
Forward simulation-based uncertainty quantification that studies the dis...
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12/06/2022
Multifidelity conditional value-at-risk estimation by dimensionally decomposed generalized polynomial chaos-Kriging
We propose novel methods for Conditional Value-at-Risk (CVaR) estimation...
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04/07/2022
Bi-fidelity conditional-value-at-risk estimation by dimensionally decomposed generalized polynomial chaos expansion
Digital twin models allow us to continuously assess the possible risk of...
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07/06/2021
Physics-informed regularization and structure preservation for learning stable reduced models from data with operator inference
Operator inference learns low-dimensional dynamical-system models with p...
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01/13/2021
Certifiable Risk-Based Engineering Design Optimization
Reliable, risk-averse design of complex engineering systems with optimiz...
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02/22/2020
Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms
This work presents a non-intrusive model reduction method to learn low-d...
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12/17/2019
Lift Learn: Physics-informed machine learning for large-scale nonlinear dynamical systems
We present Lift Learn, a physics-informed method for learning low-di...
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08/09/2019
Learning physics-based reduced-order models for a single-injector combustion process
This paper presents a physics-based data-driven method to learn predicti...
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07/28/2019
Balanced Truncation Model Reduction for Lifted Nonlinear Systems
We present a balanced truncation model reduction approach for a class of...
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05/07/2019
Multifidelity probability estimation via fusion of estimators
This paper develops a multifidelity method that enables estimation of fa...
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08/06/2018