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Estimating probability of failure in aerospace systems is a critical requirement for flight certification and qualification.
Methods of reducing sample size in Monte Carlo computations
Herman Kahn and Andy W Marshall · 1953
Earlier work this paper cites.
A new method of locating the maximum point of an arbitrary multipeak curve in the presence of noise
Harold J. Kushner · 1964
Earlier work this paper cites.
Real and Complex Analysis P. 2
Walter Rudin · 1970
Earlier work this paper cites.
Maximum likelihood from incomplete data via the EM algorithm
Arthur P Dempster, Nan M Laird, and Donald B Rubin · 1977
Earlier work this paper cites.
The application of Bayesian methods for seeking the extremum
Jonas Mockus, Vytautas Tiešis, and Antanas Žilinskas · 1978
Earlier work this paper cites.
Pressure distributions on the ONERA M6-wing at transonic mach numbers, experimental data base for computer program assessment
V Schmitt · 1979
Earlier work this paper cites.
On the convergence properties of the em algorithm
CF Jeff Wu · 1983
Earlier work this paper cites.
An importance quantification technique in uncertainty analysis for computer models
Tsutomu Ishigami and Toshimitsu Homma · 1990
Earlier work this paper cites.
Information-based objective functions for active data selection
David JC MacKay · 1992
Earlier work this paper cites.
An assessment of one-and two-equation turbulence models for internal and external flows
M Mani, J Ladd, A Cain, R Bush, M Mani, J Ladd, A Cain, and R Bush · 1997
Earlier work this paper cites.
Efficient global optimization of expensive black-box functions
Donald R. Jones, Matthias Schonlau, and William J. Welch · 1998
Earlier work this paper cites.
Aircraft performance and design , volume 1
John David Anderson · 1999
Earlier work this paper cites.
The elements of statistical learning
Friedman Jerome, Trevor Hastie, and Robert Tibshirani · 2001
Earlier work this paper cites.
Bayesian calibration of computer models
Marc C Kennedy and Anthony O’Hagan · 2001
Earlier work this paper cites.
Reliability analysis – a review and some perspectives
Rüdiger Rackwitz · 2001
Earlier work this paper cites.
Importance sampling: Applications in communications and detection
Rajan Srinivasan · 2002
Earlier work this paper cites.
Introduction to stochastic search and optimization: estimation, simulation, and control , volume 65
James C Spall · 2005
Earlier work this paper cites.
Posterior consistency of Gaussian process prior for nonparametric binary regression
Subhashis Ghosal and Anindya Roy · 2006
Earlier work this paper cites.
Gaussian Processes for Machine Learning
C. E. Rasmussen and C. K. I. Williams · 2006
Earlier work this paper cites.
Efficient global reliability analysis for nonlinear implicit performance functions
Barron J Bichon, Michael S Eldred, Laura Painton Swiler, Sandaran Mahadevan, and John M McFarland · 2008
Earlier work this paper cites.
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B Echard, N Gayton, and M Lemaire · 2010
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Cited alongside, same era.
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Later among the works it cites.
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Paris Perdikaris, Maziar Raissi, Andreas Damianou, Neil D Lawrence, and George Em Karniadakis · 2017
Later among the works it cites.
Multi-information source optimization
Matthias Poloczek, Jialei Wang, and Peter I Frazier · 2017
Later among the works it cites.
Rare event estimation using polynomial-chaos kriging
Roland Schöbi, Bruno Sudret, and Stefano Marelli · 2017
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Zi Wang and Stefanie Jegelka · 2017
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