Hyper-differential sensitivity analysis for inverse problems constrained by partial differential equations
From MaRDI portal
Publication:5139323
DOI10.1088/1361-6420/abaf63zbMath1453.35197arXiv2003.00978OpenAlexW3049315965WikidataQ115293003 ScholiaQ115293003MaRDI QIDQ5139323
Bart G. van Bloemen Waanders, Isaac Sunseri, Alen Alexanderian, Joseph Hart
Publication date: 8 December 2020
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.00978
design of experimentsmodel uncertaintysubsurface flowporous medium flowpressure and concentration measurementsuncertainty in the boundary conditions
Related Items (8)
Hyper-differential sensitivity analysis with respect to model discrepancy: optimal solution updating ⋮ A new perspective on parameter study of optimization problems ⋮ Optimal design of validation experiments for the prediction of quantities of interest ⋮ Enabling Hyper-Differential Sensitivity Analysis for Ill-Posed Inverse Problems ⋮ Sensitivity-driven experimental design to facilitate control of dynamical systems ⋮ Optimal Design of Large-scale Bayesian Linear Inverse Problems Under Reducible Model Uncertainty: Good to Know What You Don't Know ⋮ Hyper-differential sensitivity analysis for inverse problems governed by ODEs with application to COVID-19 modeling ⋮ Optimal experimental design for infinite-dimensional Bayesian inverse problems governed by PDEs: a review
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Parametric sensitivity analysis of perturbed PDE optimal control problems with state and control constraints
- Numerical methods for optimum experimental design in DAE systems
- Fast Bayesian optimal experimental design for seismic source inversion
- Statistical and computational inverse problems.
- Quantitative stability analysis of optimal solutions in PDE-constrained optimization
- Fast estimation of expected information gains for Bayesian experimental designs based on Laplace approximations
- Inverse Problems
- Inverse problems: A Bayesian perspective
- A-Optimal Design of Experiments for Infinite-Dimensional Bayesian Linear Inverse Problems with Regularized $\ell_0$-Sparsification
- Parametric sensitivity analysis in optimal control of a reaction-diffusion system – part II: practical methods and examples
- Parametric Sensitivity Analysis in Optimal Control of a Reaction Diffusion System. I. Solution Differentiability
- A Fast and Scalable Method for A-Optimal Design of Experiments for Infinite-dimensional Bayesian Nonlinear Inverse Problems
- Numerical methods for experimental design of large-scale linear ill-posed inverse problems
- Optimal Measurement Methods for Distributed Parameter System Identification
- Numerical methods for optimal control problems in design of robust optimal experiments for nonlinear dynamic processes
- Inverse Problem Theory and Methods for Model Parameter Estimation
- Efficient D-Optimal Design of Experiments for Infinite-Dimensional Bayesian Linear Inverse Problems
- Computational Methods for Inverse Problems
- Parameter Estimation and Optimum Experimental Design for Differential Equation Models
- HYPERDIFFERENTIAL SENSITIVITY ANALYSIS OF UNCERTAIN PARAMETERS IN PDE-CONSTRAINED OPTIMIZATION
- Numerical methods for the design of large-scale nonlinear discrete ill-posed inverse problems
- Numerical Sensitivity Analysis for the Quantity of Interest in PDE‐Constrained Optimization
- Parametric sensitivities for optimal control problems using automatic differentiation
This page was built for publication: Hyper-differential sensitivity analysis for inverse problems constrained by partial differential equations