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In modern engineering, computer simulations are a popular tool to analyse, design, and optimize systems. Furthermore, concepts of uncertainty and the related reliability analysis and robust design are of increasing importance. Hence, an…

Computation · Statistics 2017-05-12 R. Schöbi , B. Sudret

Structural reliability methods aim at computing the probability of failure of systems with respect to some prescribed performance functions. In modern engineering such functions usually resort to running an expensive-to-evaluate…

Methodology · Statistics 2011-05-10 V. Dubourg , F. Deheeger , B. Sudret

This paper presents a framework for the representation of uncertainty in the estimates for software design projects for use throughout the entire project lifecycle. The framework is flexible in order to accommodate uncertainty in the…

Software Engineering · Computer Science 2016-06-21 Andy M. Connor

A subcritical load on a disordered material can induce creep damage. The creep rate in this case exhibits three temporal regimes viz. an initial decelerating regime followed by a steady-state regime and a stage of accelerating creep that…

Soft Condensed Matter · Physics 2020-05-08 Soumyajyoti Biswas , David F. Castellanos , Michael Zaiser

This paper presents a framework for estimating the remaining useful life (RUL) of mechanical systems. The framework consists of a multi-layer perceptron and an evolutionary algorithm for optimizing the data-related parameters. The framework…

Machine Learning · Computer Science 2019-05-16 David Laredo , Zhaoyin Chen , Oliver Schütze , Jian-Qiao Sun

Predicting the remaining useful life of machinery, infrastructure, or other equipment can facilitate preemptive maintenance decisions, whereby a failure is prevented through timely repair or replacement. This allows for a better decision…

Machine Learning · Computer Science 2019-07-22 Mathias Kraus , Stefan Feuerriegel

Many methods of estimating causal models do not provide estimates of confidence in the resulting model. In this work, a metric is proposed for validating the output of a causal model fit; the robustness of the model structure with resampled…

Survival models are used in various fields, such as the development of cancer treatment protocols. Although many statistical and machine learning models have been proposed to achieve accurate survival predictions, little attention has been…

Machine Learning · Computer Science 2020-03-26 Hrushikesh Loya , Pranav Poduval , Deepak Anand , Neeraj Kumar , Amit Sethi

In the present study, a general probabilistic design framework is developed for cyclic fatigue life prediction of metallic hardware using methods that address uncertainty in experimental data and computational model. The methodology…

Computational Engineering, Finance, and Science · Computer Science 2017-09-27 Danial Faghihi , Subhasis Sarkar , Mehdi Naderi , Lloyd Hackel , Nagaraja Iyyer

Creep under a sustained load can persist for long times yet culminate in abrupt yielding or rupture, implying a finite lifetime even when the material appears solid. Here, we formulate lifetime prediction as Bayesian inference over an…

Materials Science · Physics 2026-04-01 Juan Carlos Verano-Espitia , Tero Mäkinen , Mikko J. Alava , Jérôme Weiss

The estimation of Remaining Useful Life (RUL) plays a pivotal role in intelligent manufacturing systems and Industry 4.0 technologies. While recent advancements have improved RUL prediction, many models still face interpretability and…

Machine Learning · Computer Science 2024-11-26 Tian Niu , Zijun Xu , Heng Luo , Ziqing Zhou

Increasingly sophisticated mathematical modelling processes from Machine Learning are being used to analyse complex data. However, the performance and explainability of these models within practical critical systems requires a rigorous and…

Machine Learning · Computer Science 2020-12-08 Xingyu Zhao , Alec Banks , James Sharp , Valentin Robu , David Flynn , Michael Fisher , Xiaowei Huang

Uncertainties influencing the dynamical systems pose a significant challenge in estimating the achievable performance of a controller aiming to control such uncertain systems. When the uncertainties are of stochastic nature, obtaining hard…

Systems and Control · Electrical Eng. & Systems 2025-07-22 Venkatraman Renganathan

Remaining useful life (RUL) refers to the expected remaining lifespan of a component or system. Accurate RUL prediction is critical for prognostic and health management and for maintenance planning. In this work, we address three prevalent…

Machine Learning · Computer Science 2024-10-28 Zhaoyi Xu , Yanjie Guo , Joseph Homer Saleh

Engineered timber is pivotal to low-carbon construction, but moisture uptake during its service life can compromise structural reliability and impede reuse within a circular economy model. Despite growing interest, quantitative standards…

Applications · Statistics 2025-06-16 Yiping Meng , Chulin Jiang , Courtney Jayne Scurr , Farzad Pour Rahimian , David Hughes

This article addresses the probabilistic nature of fatigue life in structures subjected to cyclic loading with variable amplitude. Drawing on the formalisation of Miner's cumulative damage rule that we introduced in the recent article…

Computational Engineering, Finance, and Science · Computer Science 2024-03-11 Francois-Baptiste Cartiaux , Frederic Legoll , Alex Libal , Julien Reygner

Biological soft tissues exhibit substantial inter-subject variability, making the automation of constitutive material modeling essential for patient-specific analysis and design. Such materials are not only highly nonlinear but also display…

Computational Physics · Physics 2026-04-16 Bahador Bahmani

This paper considers structural optimization under a reliability constraint, where the input distribution is only partially known. Specifically, when we only know that the expected value vector and the variance-covariance matrix of the…

Optimization and Control · Mathematics 2022-12-19 Yoshihiro Kanno

Mathematical models are essential for understanding and making predictions about systems arising in nature and engineering. Yet, mathematical models are a simplification of true phenomena, thus making predictions subject to uncertainty.…

Numerical Analysis · Mathematics 2023-03-03 Mark Hobbs , Hussein Rappel , Tim Dodwell

In the Performance-Based Engineering (PBE) framework, uncertainties in system parameters, or modelling uncertainties, have been shown to have significant effects on capacity fragilities and annual collapse rates of buildings. Yet, since…

Optimization and Control · Mathematics 2022-10-17 Andre T. Beck , Rubia M. Bosse , Isabela D. Rodrigues
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