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We study the sensitivity of infinite-dimensional Bayesian linear inverse problems governed by partial differential equations (PDEs) with respect to modeling uncertainties.
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Noemi Petra and Georg Stadler · 2011
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“A Computational Framework for Infinite-Dimensional Bayesian Inverse Problems Part I: The Linearized Case, with Application to Global Seismic Inversion”
Tan Bui-Thanh, Omar Ghattas, James Martin and Georg Stadler · 2013
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Chi Feng and Youssef Marzouk · 2019
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“Hyper-Differential Sensitivity Analysis of Uncertain Parameters in PDE-Constrained Optimization”
Joseph Hart, Bart van Bloemen and Roland Herzog · 2020
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“Optimal experimental design under irreducible uncertainty for linear inverse problems governed by PDEs”
Karina Koval, Alen Alexanderian and Georg Stadler · 2020
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“Hyper-Differential Sensitivity Analysis for Inverse Problems Constrained by Partial Differential Equations”
Isaac Sunseri, Joseph Hart, Bart Waanders and Alen Alexanderian · 2020
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“Optimal experimental design for infinite-dimensional Bayesian inverse problems governed by PDEs: A review”
Alen Alexanderian · 2021
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“Derivative-Based Global Sensitivity Measures”
Sergey Kucherenko and Bertrand Iooss · 2016
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“Efficient D-Optimal Design of Experiments for Infinite-Dimensional Bayesian Linear Inverse Problems”
Alen Alexanderian and Arvind. Saibaba · 2018
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“Earthquakes, groundwater and surface deformation : exploring the poroelastic response to megathrust earthquakes”, 2018
Kimberly McCormack · 2018
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“Optimal design of large-scale Bayesian linear inverse problems under reducible model uncertainty: good to know what you don’t know”
Alen Alexanderian, Noemi Petra, Georg Stadler and Isaac Sunseri · 2021
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“Learning physics-based models from data: perspectives from inverse problems and model reduction”
Omar Ghattas and Karen Willcox · 2021
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“HIPPYlib: an extensible software framework for large-scale inverse problems governed by PDEs: part I: deterministic inversion and linearized Bayesian inference”
Umberto Villa, Noemi Petra and Omar Ghattas · 2021
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“Optimal design of large-scale nonlinear Bayesian inverse problems under model uncertainty”
Alen Alexanderian, Ruanui Nicholson and Noemi Petra · 2022
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“Hyper-differential sensitivity analysis for nonlinear Bayesian inverse problems”
Isaac Sunseri, Alen Alexanderian, Joseph Hart and Bart Waanders · 2023
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