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Multifidelity Cross-Entropy Estimation of Conditional Value-at-Risk for Risk-Averse Design Optimization
16 references·0 citing·42 second hop
Multifidelity Cross-Entropy Estimation of Conditional Value-at-Risk for Risk-Averse Design Optimization (2020)Multifidelity Cross-Entropy Estimation of…Information Reuse for Importance Sampling in Reliability-Based Design Optimization (2020)Information Reuse for Importa…Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization (2018)Survey of Multifidelity Metho…Multifidelity Preconditioning of the Cross-Entropy Method for Rare Event Simulation and Failure Probability Estimation (2018)Multifidelity Preconditioning…Construction of Multi-Fidelity Locally Optimized Surrogate Models for Uncertainty Quantification (2017)Construction of Multi-Fidelit…Combining multiple surrogate models to accelerate failure probability estimation with expensive high-fidelity models (2017)Combining multiple surrogate …Risk-Averse PDE-Constrained Optimization Using the Conditional Value-At-Risk (2016)Risk-Averse PDE-Constrained O…A Multilevel Monte Carlo Method for Computing Failure Probabilities (2016)A Multilevel Monte Carlo Meth…Multilevel Estimation of Rare Events (2015)Multilevel Estimation of Rare…Multifidelity importance sampling (2015)Multifidelity importance samp…An efficient surrogate-based method for computing rare failure probability (2011)An efficient surrogate-based …Evaluation of failure probability via surrogate models (2010)Evaluation of failure probabi…Financial prediction with constrained tail risk (2007)Financial prediction with con…Conditional value-at-risk for general loss distributions (2002)Conditional value-at-risk for…Optimization of conditional value-at-risk (2000)Optimization of conditional v…Optimization of computer simulation models with rare events (1997)Optimization of computer simu…The origins of kriging (1990)The origins of krigingApplied Probability and Queues (1987)Acceleration of Stochastic Approximation by Averaging (1992)Fast simulation of rare events in queueing and reliability models (1995)Proceedings of the 2002 Winter Simulation Conference (2002)Simulation optimization: A comprehensive review on theory and applications (2004)Proceedings of the 2017 Winter Simulation Conference (2017)Stochastic Finite Elements: A Spectral Approach (1991)Estimation of small failure probabilities in high dimensions by subset simulation (2001)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Kriging-based adaptive Importance Sampling algorithms for rare event estimation (2013)Coherent Measures of Risk (1999)Asymptotic representations for importance-sampling estimators of value-at-risk and conditional value-at-risk (2010)Conditional Value-at-Risk and Average Value-at-Risk: Estimation and Asymptotics (2012)Stochastic kriging with biased sample estimates (2014)STIGLER'S LAW OF EPONYMY* (1980)STATISTICS FOR SPATIAL DATA (1992)Covariance Tapering for Interpolation of Large Spatial Datasets (2006)Fixed Rank Kriging for Very Large Spatial Data Sets (2008)Recent Advances in Bayesian Optimization (2023)Simulation and the Monte Carlo Method (2007)Bayesian analysis of rare events (2016)Bayesian optimization with output-weighted optimal sampling (2020)Reliability and sensitivity analysis of composite structures by an adaptive Kriging based approach (2021)Reliability analysis—a review and some perspectives (2001)Multilevel Monte Carlo Path Simulation (2008)Monte Carlo Information-Reuse Approach to Aircraft Conceptual Design Optimization Under Uncertainty (2015)Rare event estimation with sequential directional importance sampling (2022)Design and Analysis of Computer Experiments (1989)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)Modern Monte Carlo methods for efficient uncertainty quantification and propagation: A survey (2020)Modeling, analysis, and optimization under uncertainties: a review (2021)Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review (2023)PORTFOLIO SELECTION* (1952)On the coherence of expected shortfall (2002)Spectral measures of risk: A coherent representation of subjective risk aversion (2002)Making and Evaluating Point Forecasts (2011)Lectures on Stochastic Programming (2009)Distributionally Robust Optimization Under Moment Uncertainty with Application to Data-Driven Problems (2010)Properties of Chance Constraints in Infinite Dimensions with an Application to PDE Constrained Optimization (2017)An approach for robust PDE-constrained optimization with application to shape optimization of electrical engines and of dynamic elastic structures under uncertainty (2018)Existence and Optimality Conditions for Risk-Averse PDE-Constrained Optimization (2018)
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References

  • 2000Optimization of conditional value-at-risk6,722 cited
  • 2002Conditional value-at-risk for general loss distributions3,847 cited
  • 1990The origins of kriging1,763 cited
  • 2018Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization1,072 cited
  • 1997Optimization of computer simulation models with rare events686 cited
  • 2010Evaluation of failure probability via surrogate models151 cited
  • 2015Multifidelity importance sampling130 cited
  • 2011An efficient surrogate-based method for computing rare failure probability105 cited
  • 2016Risk-Averse PDE-Constrained Optimization Using the Conditional Value-At-Risk95 cited
  • 2007Financial prediction with constrained tail risk70 cited
  • 2015Multilevel Estimation of Rare Events47 cited
  • 2017Combining multiple surrogate models to accelerate failure probability estimation with expensive high-fidelity models47 cited
  • 2020Information Reuse for Importance Sampling in Reliability-Based Design Optimization47 cited
  • 2016A Multilevel Monte Carlo Method for Computing Failure Probabilities46 cited
  • 2018Multifidelity Preconditioning of the Cross-Entropy Method for Rare Event Simulation and Failure Probability Estimation

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44 cited
  • 2017Construction of Multi-Fidelity Locally Optimized Surrogate Models for Uncertainty Quantification10 cited
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