Support vector machine in structural reliability analysis: A review

A Roy, S Chakraborty - Reliability Engineering & System Safety, 2023 - Elsevier
Support vector machine (SVM) is a powerful machine learning technique relying on the
structural risk minimization principle. The applications of SVM in structural reliability analysis …

A survey on approaches for reliability-based optimization

MA Valdebenito, GI Schuëller - Structural and Multidisciplinary …, 2010 - Springer
Reliability-based Optimization is a most appropriate and advantageous methodology for
structural design. Its main feature is that it allows determining the best design solution (with …

[HTML][HTML] Active learning for structural reliability: Survey, general framework and benchmark

M Moustapha, S Marelli, B Sudret - Structural Safety, 2022 - Elsevier
Active learning methods have recently surged in the literature due to their ability to solve
complex structural reliability problems within an affordable computational cost. These …

LIF: A new Kriging based learning function and its application to structural reliability analysis

Z Sun, J Wang, R Li, C Tong - Reliability Engineering & System Safety, 2017 - Elsevier
The main task of structural reliability analysis is to estimate failure probability of a studied
structure taking randomness of input variables into account. To consider structural behavior …

AK-MCS: an active learning reliability method combining Kriging and Monte Carlo simulation

B Echard, N Gayton, M Lemaire - Structural safety, 2011 - Elsevier
An important challenge in structural reliability is to keep to a minimum the number of calls to
the numerical models. Engineering problems involve more and more complex computer …

A combined importance sampling and kriging reliability method for small failure probabilities with time-demanding numerical models

B Echard, N Gayton, M Lemaire, N Relun - Reliability Engineering & …, 2013 - Elsevier
Applying reliability methods to a complex structure is often delicate for two main reasons.
First, such a structure is fortunately designed with codified rules leading to a large safety …

[HTML][HTML] A new learning function for Kriging and its applications to solve reliability problems in engineering

Z Lv, Z Lu, P Wang - Computers & Mathematics with Applications, 2015 - Elsevier
In structural reliability, an important challenge is to reduce the number of calling the
performance function, especially a finite element model in engineering problem which …

An efficient reliability method combining adaptive support vector machine and Monte Carlo simulation

Q Pan, D Dias - Structural Safety, 2017 - Elsevier
To enhance computational efficiency in reliability analysis, metamodeling has been widely
adopted for reliability assessment. This work develops an efficient reliability method which …

Assessing small failure probabilities by combined subset simulation and support vector machines

JM Bourinet, F Deheeger, M Lemaire - Structural Safety, 2011 - Elsevier
Estimating small probabilities of failure remains quite a challenging task in structural
reliability when models are computationally demanding. FORM/SORM are very suitable …

Reliability-based design optimization using kriging surrogates and subset simulation

V Dubourg, B Sudret, JM Bourinet - Structural and Multidisciplinary …, 2011 - Springer
The aim of the present paper is to develop a strategy for solving reliability-based design
optimization (RBDO) problems that remains applicable when the performance models are …