Structural Reliability analysis (SRA) is one of the prominent fields in civil and mechanical
engineering. However, an accurate SRA in most cases deals with complex and costly …

This paper reviews the mathematical foundation of the importance sampling technique and
discusses two general classes of methods to construct the importance sampling density (or …

Monte Carlo methods have attracted constant and even increasing attention in structural
reliability analysis with a wide variety of developments seamlessly presented over decades …

The present work reviews the implementation of adaptive metamodeling for reliability
analysis with emphasis in four main types of metamodels: response surfaces, polynomial …

In structural reliability analysis, robust and efficient sampling methods that address low
failure probabilities are vital challenges. In this paper, a novel dynamical adaptive enhanced …

This review presents machine learning (ML) approaches from an applied economist's
perspective. We first introduce the key ML methods drawing connections to econometric …

Structural reliability analysis is typically evaluated based on a multivariate function that
describes underlying failure mechanisms of a structural system. It is necessary for a …

In the present study, a computational-experimental framework is developed for fatigue
reliability assessment of turbine bladed disks. Within the framework, the overspeed testing is …

Machine learning-based reliability analysis methods have shown great advancements for
their computational efficiency and accuracy. Recently, many efficient learning strategies …

With the ever-increasing complexity of engineering problems, active learning functions fused
with Kriging models are receiving significant attention and are extensively applied in various …