Experimental design in the context of Tikhonov regularized inverse problems

DOI10.1177/1471082X13494613MaRDI QIDQ4970831

Christian Lucero, Lior Horesh, V. Ball, Luis Tenorio

Publication date: 7 October 2020

Published in: Statistical Modelling (Search for Journal in Brave)

zbMATH Keywords

regularizationinverse problemsexperimental designequivalence theorems

Mathematics Subject Classification ID

Statistics (62-XX)

Related Items (5)

Experimental Design for Nonparametric Correction of Misspecified Dynamical Models ⋮ Reduced Space Dynamics-Based Geo-Statistical Prior Sampling for Uncertainty Quantification of End Goal Decisions ⋮ Goal-oriented optimal design of experiments for large-scale Bayesian linear inverse problems ⋮ Efficient D-Optimal Design of Experiments for Infinite-Dimensional Bayesian Linear Inverse Problems ⋮ Optimal sensor placement for joint parameter and state estimation problems in large-scale dynamical systems with applications to thermo-mechanics

Uses Software

• SDPT3
• UTV

Cites Work

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• The Equivalence of Two Extremum Problems
• Experimental Design: Review and Comment
• Numerical methods for experimental design of large-scale linear ill-posed inverse problems
• A Comparison of Algorithms for Constructing Exact D-Optimal Designs
• Rank-Deficient and Discrete Ill-Posed Problems
• Bayesian Experimental Design: A Review
• Computational Methods for Inverse Problems
• Optimal Design of Experiments
• Numerical methods for the design of large-scale nonlinear discrete ill-posed inverse problems
• Generalizations of a theorem of Carathéodory
• The use of prior distributions in the design of experiments for parameter estimation in non-linear situations
• The Sequential Generation of $D$-Optimum Experimental Designs

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