@inproceedings{66ed502cd925407a9f60e1f4ba83884f,
title = "Reliability assessment with correlated variables using support vector machines",
abstract = "This paper presents an approach to estimate probabilities of failure in cases where the random variables are correlated. An explicit limit state function is constructed in the uncorrelated standard normal space using the Nataf transformation and a support vector machine (SVM). An adaptive sampling strategy is used to build an accurate SVM approximation. Several analytical examples with various distributions and also multiple failure modes are presented.",
author = "Peng Jiang and Anirban Basudhar and Samy Missoum",
note = "Funding Information: The support of the National Science Foundation through grant CMMI-1029257 is gratefully acknowledged. We would also like to acknowledge fruitful discussions held with Dr. Jean Marc Bourinet at IFMA, Clermont Ferrand, France that led to the idea of sampling within a hypersphere.; 52nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference ; Conference date: 04-04-2011 Through 07-04-2011",
year = "2011",
doi = "10.2514/6.2011-1905",
language = "English (US)",
isbn = "9781600869518",
series = "Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference",
booktitle = "52nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference",
}