Abstract Design of structural and multidisciplinary systems under uncertainties requires
estimation of their reliability or equivalently the probability of failure under the given …

In this paper, we propose a sequential directional importance sampling (SDIS) method for
rare event estimation. SDIS expresses a small failure probability in terms of a sequence of …

We propose a deep importance sampling method that is suitable for estimating rare event
probabilities in high-dimensional problems. We approximate the optimal importance …

We propose a method for the accurate estimation of rare event or failure probabilities for
expensive-to-evaluate numerical models in high dimensions. The proposed approach …

To improve mathematical models of epidemics it is essential to move beyond the traditional
assumption of homogeneous well–mixed population and involve more precise information …

To date, the analysis of high-dimensional, computationally expensive engineering models
remains a difficult challenge in risk and reliability engineering. We use a combination of …

The healthy growth of college students is related to the future development of the country
and the prosperity of the nation. Under fierce social competition, college students are faced …

Rare event simulation and rare event probability estimation are important tasks within the
analysis of systems subject to uncertainty and randomness. Simultaneously, accurately …

To improve the performance of data fusion in wireless sensor networks, based on the
suboptimal network powered deep learning model, a data fusion algorithm that combines a …

The accurate prediction of groundwater contamination is challenging due to uncertainties
arising from the inherent heterogeneity of aquifers, inadequate site characterization, and …