A support vector density-based importance sampling for reliability assessment

Reliability Engineering and System Safety

Volumn 106, Issue , 2012, Pages 86-93

  Dai, Hongzhe ^a   Zhang, Hao ^b   Wang, Wei ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

^b UNIVERSITY OF SYDNEY   (Australia)

Author keywords

Adaptive metropolis; Finite element; Markov chain simulation; Reliability; Support vector density

Indexed keywords

ADAPTIVE METROPOLIS; CONVERGENCE AND STABILITY; DENSITY ESTIMATION; DENSITY-BASED; FINITE ELEMENT; IMPORTANCE SAMPLING METHOD; KERNEL DENSITY ESTIMATION; MARKOV CHAIN SIMULATION; METROPOLIS ALGORITHMS; RELIABILITY ASSESSMENTS; SAMPLING DENSITIES; STRUCTURAL PROBLEMS; STRUCTURAL RELIABILITY ASSESSMENT; SUPPORT VECTOR;

IMPORTANCE SAMPLING; RELIABILITY; RELIABILITY ANALYSIS; VECTORS;

ADAPTIVE ALGORITHMS;

EID: 84863441531     PISSN: 09518320     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ress.2012.04.011     Document Type: Article

References (25)

1. R.E. Melchers Search-based importance sampling Structural Safety 9 1990 117 128
2. G.L. Ang, A.H.-S. Ang, and W.H. Tang Optimal importance-sampling density estimator Journal of Engineering Mechanics, ASCE 118 6 1992 1146 1163
3. R.E. Melchers Structural reliability analysis and prediction 2nd ed 1999 John Wiley & Sons West Sussex, England
4. S.K. Au, and J.L. Beck A new adaptive importance sampling scheme for reliability calculations Structural Safety 21 1999 135 158
5. R.Y. Rubinstein Simulation and the Monte-Carlo method 1981 John Wiley & Sons New York, NY
6. P.L. Liu, and A. Der Kiureghian Optimization algorithms for structural reliability Structural Safety 9 1991 161 178
7. J. Morio Non-parametric adaptive importance sampling for the probability estimation of a launcher impact position Reliability Engineering and System Safety 96 2011 178 183
8. C.M. Rocco, and J.A. Moreno Fast Monte Carlo reliability evaluation using support vector machine Reliability Engineering and System Safety 76 2002 237 243 (Pubitemid 34545602)
9. Hurtado JE, Alvarez DA. An optimization method for learning statistical classifier in structural reliability. Probabilistic Engineering Mechanics 2010;25:26-34.
10. K.Y. Chen Forecasting systems reliability based on support vector regression with genetic algorithms Reliability Engineering and System Safety 92 2007 423 432
11. M.C. Moura, E. Zio, I.D. Lins, and E. Droguett Failure and reliability prediction by support vector machine regression of time series data Reliability Engineering and System Safety 92 2007 423 432
12. N. Metropolis, A.W. Rosenbluth, M.N. Ronsenbluth, A.H. Teller, and E. Teller Equations of state calculations by fast computing machines Journal of Chemical Physics 21 1953 1087 1092
13. C. Proppe Estimation of failure probabilities by local approximation of the limit state function Structural Safety 30 2008 277 290 (Pubitemid 351437131)
14. H. Haario, E. Saksman, and J. Tamminen An adaptive metropolis algorithm Bernoulli 7 2 2001 223 242 (Pubitemid 33793059)
15. A.G. Gelman, G.O. Roberts, and W.R. Gilks Efficient metropolis jumping rules J.M. Bernardo, J.O. Berger, A.F. David, A.F.M. Smith, Bayesian statistics V 1996 Oxford University Press Oxford 599 608
16. Weston J, Gammerman A, Stitson M, Vapnik V, Vovk V, Watkins C. Density estimation using support vector machines. Technical report CSD-TR-97923. London, UK: Royal Holloway University; 1998.
17. D. Phillips A technique for the numerical solution of certain integral equations of the first kind Journal of the Association for Computing Machinery 9 1 1962 84 97
18. V.N. Vapnik The nature of statistic learning theory 2nd ed 2000 Springer-Verlag New York
19. G.C. Cawley, and N. Talbot Fast exact leave-one-out cross-validation of sparse least squares support vector machines Neural Networks 17 2004 1467 1475 (Pubitemid 39487142)
20. N. Cristianini, and J. Shawe-Taylor An introduction to support vector machines and other kernel-based learning methods 2000 Cambridge University Press Cambridge, UK
21. J. Nie, and B.R. Ellingwood Finite element-based structural reliability assessment using efficient directional simulation Journal of Engineering Mechanics, ASCE 131 3 2005 259 267 (Pubitemid 40323086)
22. V.A. Epanechnikov Nonparametric estimation of a multidimensional probability density Theory of Probability and Application 14 1969 153 158
23. O. Ditlevsen, R.E. Melchers, and H. Gluver General multi-dimensional probability integration by directional simulation Computers and Structures 36 2 1990 355 368
24. S.-C. Kang, H.-M. Koh, and J.F. Choo An efficient response surface method using moving least squares approximation for structural reliability analysis Probabilistic Engineering Mechanics 25 2010 365 371
25. S.H. Kim, and S.W. Na Response surface method using vector projected sampling points Structural Safety 19 1997 3 19