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SS-MASVM: an advanced technique for assessing failure probability of high-dimensional complex systems using the multi-class adaptive support vector machine. (English) Zbl 1539.62307

Summary: The integrity of structures in contemporary engineering practices is heavily influenced by inherent uncertainties, which necessitates the development of reliable structural reliability analysis methods for uncertainty quantification and probabilistic analysis. This paper investigates the integration of surrogate models and subset simulation (SS) to accurately compute the failure probabilities of high-dimensional complex systems. Focus is placed on enhancing the computational efficiency and accuracy through using the multi-class adaptive support vector machine (MASVM). The proposed SS-MASVM method incorporates more efficient learning functions, integrates K-means clustering, and employs SS technology for precise estimation of failure probabilities of high-dimensional complex systems. Numerical and engineering structural examples validate the effectiveness of the proposed method and highlight its potential in practical reliability analysis, and the results disclose that the SS-MASVM is efficient and accurate for assessing the complex system reliability.

MSC:

62N05 Reliability and life testing
68T05 Learning and adaptive systems in artificial intelligence
90B25 Reliability, availability, maintenance, inspection in operations research

Software:

AK-MCS; LIBLINEAR; LIBSVM
Full Text: DOI

References:

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