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

Uncertainties such as material randomness, manufacturing anomalies, and external loading
play an important role in the design of engineering structures. Therefore, reliability-based …

While uncertainty quantification (UQ) has served a prominent role in ensuring the safety of
dynamical engineering systems, the lack of an integrated approach to handle the aleatory …

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 …

One of the important challenges in structural reliability is using only a few function calls to
obtain an accurate failure probability. To solve this problem, a combination of the adaptive …

Active-learning reliability analysis is essentially a problem of sequential decision making
under uncertainty from the Bayesian decision-theoretic perspective. Hence, leveraging on …

This article presents a novel concept of deep reinforcement learning (DRL) to facilitate the
reverse design of layered phononic crystal (PC) beams with anticipated band structures …

An adaptive framework of stratified sampling is established for estimating the probability of
failure in structural reliability analysis in combination with variance reduction employed by …

This paper proposes a generalized subset simulation (GSS) method for estimating small
failure probability. The basic idea is to modify the failure threshold and amplify the variability …

By introducing a Beta-hypersphere centered at the origin of a standard normal space
coordinate system and with reliability index Beta as the radius in the safety domain …