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A-Optimal Design of Experiments for Infinite-Dimensional Bayesian Linear Inverse Problems with Regularized $\ell_0$-Sparsification
6 references·13 citing·24 second hop
A-Optimal Design of Experiments for Infinite-Dimensional Bayesian Linear Inverse Problems with Regularized $\ell_0$-Sparsification (2014)A-Optimal Design of Experiments for Infin…Simulation-based optimal Bayesian experimental design for nonlinear systems (2012)Simulation-based optimal Baye…Extreme-scale UQ for Bayesian inverse problems governed by PDEs (2012)Extreme-scale UQ for Bayesian…Bayesian Experimental Design: A Review (1995)Bayesian Experimental Design:…Optimum Experimental Designs (1993)Optimum Experimental DesignsOptimal design of experiments (1993)Optimal design of experimentsFoundations of Optimum Experimental Design (1986)Foundations of Optimum Experi…Mastering Uncertainty in Mechanical Engineering (2023)Mastering Uncertainty in Mech…A Fast and Scalable Computational Framework for Large-Scale High-Dimensional Bayesian Optimal Experimental Design (2023)A Fast and Scalable Computati…Taylor Approximation for Chance Constrained Optimization Problems Governed by Partial Differential Equations with High-Dimensional Random Parameters (2021)Taylor Approximation for Chan…Optimal experimental design for infinite-dimensional Bayesian inverse problems governed by PDEs: a review (2021)Optimal experimental design f…Mastering Uncertainty in Mechanical Engineering (2021)Mastering Uncertainty in Mech…Learning Quantities of Interest from dynamical systems for observation-consistent inversion (2021)Learning Quantities of Intere…Extreme event probability estimation using PDE-constrained optimization and large deviation theory, with application to tsunamis (2021)Extreme event probability est…Taylor approximation and variance reduction for PDE-constrained optimal control under uncertainty (2019)Taylor approximation and vari…Goal-oriented optimal design of experiments for large-scale Bayesian linear inverse problems (2018)Goal-oriented optimal design …Efficient D-Optimal Design of Experiments for Infinite-Dimensional Bayesian Linear Inverse Problems (2018)Efficient D-Optimal Design of…Sensor placement for calibration of spatially varying model parameters (2017)Sensor placement for calibrat…A Fast and Scalable Method for A-Optimal Design of Experiments for Infinite-dimensional Bayesian Nonlinear Inverse Problems (2016)A Fast and Scalable Method fo…On Bayesian A- and D-Optimal Experimental Designs in Infinite Dimensions (2015)On Bayesian A- and D-Optimal …An Explicit Link between Gaussian Fields and Gaussian Markov Random Fields: The Stochastic Partial Differential Equation Approach (2011)Applied Statistical Decision Theory (1962)Theory of optimal experiments (1972)Design and Analysis of Computer Experiments (1989)Kriging metamodeling in simulation: A review (2007)Response surface methodology (2010)Information-Theoretic Regret Bounds for Gaussian Process Optimization in the Bandit Setting (2012)Stochastic Finite Elements: A Spectral Approach (1991)Multivariate stochastic approximation using a simultaneous perturbation gradient approximation (1992)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Adaptive Smolyak Pseudospectral Approximations (2013)A Review of Modern Computational Algorithms for Bayesian Optimal Design (2015)Engineering Design with Digital Thread (2018)On a Measure of the Information Provided by an Experiment (1956)On the Equivalence of Constrained and Compound Optimal Designs (1994)Numerical methods for optimum experimental design in DAE systems (2000)Optimal experimental design and some related control problems (2007)A GRADIENT-BASED SAMPLING APPROACH FOR DIMENSION REDUCTION OF PARTIAL DIFFERENTIAL EQUATIONS WITH STOCHASTIC COEFFICIENTS (2014)Fast Bayesian experimental design: Laplace-based importance sampling for the expected information gain (2018)Uniform Design: Theory and Application (2000)State-of-the-Art Review: A User’s Guide to the Brave New World of Designing Simulation Experiments (2005)Making and Evaluating Point Forecasts (2011)Response Surface Methodology: A Retrospective and Literature Survey (2004)Global sensitivity analysis using polynomial chaos expansions (2007)
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References

  • 1995Bayesian Experimental Design: A Review1,846 cited
  • 1993Optimal design of experiments1,539 cited
  • 1993Optimum Experimental Designs1,447 cited
  • 2012Simulation-based optimal Bayesian experimental design for nonlinear systems451 cited
  • 1986Foundations of Optimum Experimental Design344 cited
  • 2012Extreme-scale UQ for Bayesian inverse problems governed by PDEs69 cited

Cited by

  • 2016A Fast and Scalable Method for A-Optimal Design of Experiments for Infinite-dimensional Bayesian Nonlinear Inverse Problems131 cited
  • 2021Optimal experimental design for infinite-dimensional Bayesian inverse problems governed by PDEs: a review85 cited
  • 2015On Bayesian A- and D-Optimal Experimental Designs in Infinite Dimensions76 cited
  • 2018Goal-oriented optimal design of experiments for large-scale Bayesian linear inverse problems59 cited
  • 2018Efficient D-Optimal Design of Experiments for Infinite-Dimensional Bayesian Linear Inverse Problems50 cited
  • 2021Mastering Uncertainty in Mechanical Engineering44 cited
  • 2019Taylor approximation and variance reduction for PDE-constrained optimal control under uncertainty42 cited
  • 2017Sensor placement for calibration of spatially varying model parameters41 cited

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  • 2023A Fast and Scalable Computational Framework for Large-Scale High-Dimensional Bayesian Optimal Experimental Design33 cited
  • 2021Extreme event probability estimation using PDE-constrained optimization and large deviation theory, with application to tsunamis31 cited
  • 2021Taylor Approximation for Chance Constrained Optimization Problems Governed by Partial Differential Equations with High-Dimensional Random Parameters21 cited
  • 2023Mastering Uncertainty in Mechanical Engineering16 cited
  • 2021Learning Quantities of Interest from dynamical systems for observation-consistent inversion11 cited