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Running a reliability analysis on engineering problems involving complex numerical models can be computationally very expensive, requiring advanced simulation methods to reduce the overall numerical cost. Gaussian process based active…

Machine Learning · Statistics 2020-12-01 Morgane Menz , Sylvain Dubreuil , Jérôme Morio , Christian Gogu , Nathalie Bartoli , Marie Chiron

We investigate the merits of replication, and provide methods for optimal design (including replicates), with the goal of obtaining globally accurate emulation of noisy computer simulation experiments. We first show that replication can be…

Methodology · Statistics 2019-01-28 Mickael Binois , Jiangeng Huang , Robert B Gramacy , Mike Ludkovski

Structural equation models are commonly used to capture the relationship between sets of observed and unobservable variables. Traditionally these models are fitted using frequentist approaches but recently researchers and practitioners have…

Methodology · Statistics 2023-02-22 Khue-Dung Dang , Luca Maestrini

A new gradient-based adaptive sampling method is proposed for design of experiments applications which balances space filling, local refinement, and error minimization objectives while reducing reliance on delicate tuning parameters. High…

Methodology · Statistics 2024-05-09 Lucas Caparini , Gwynn J. Elfring , Mauricio Ponga

An important task in structural design is to quantify the structural performance of an object under the external forces it may experience during its use. The problem proves to be computationally very challenging as the external forces'…

Machine Learning · Statistics 2018-10-26 Yining Wang , Erva Ulu , Aarti Singh , Levent Burak Kara

Estimation of the failure probability of offshore structures exposed to extreme ocean environments is critical to their safe design and operation. The conditional density of the environment (CDE) quantifies regions of the space of long term…

Applications · Statistics 2025-12-16 Matthew Speers , Jonathan Angus Tawn , Philip Jonathan

This paper presents a new stochastic finite element method for computing structural stochastic responses. The method provides a new expansion of stochastic response and decouples the stochastic response into a combination of a series of…

Numerical Analysis · Mathematics 2021-04-28 Zhibao Zheng

As a physical fact, randomness is an inherent and ineliminable aspect in all physical measurements and engineering production. As a consequence, material parameters, serving as input data, are only known in a stochastic sense and thus, also…

Computational Engineering, Finance, and Science · Computer Science 2023-11-22 Hendrik Geisler , Cem Erdogan , Jan Nagel , Philipp Junker

The requirement for identifying accurate system representations has not only been a challenge to fulfill, but it has compromised the scalability of formal methods, as the resulting models are often too complex for effective decision making…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Oliver Schön , Sofie Haesaert , Sadegh Soudjani

In the field of structural reliability, the Monte-Carlo estimator is considered as the reference probability estimator. However, it is still untractable for real engineering cases since it requires a high number of runs of the model. In…

Methodology · Statistics 2015-03-19 V. Dubourg , F. Deheeger , B. Sudret

Uncertainty quantification is not yet widely adapted in the design process of engineering components despite its importance for achieving sustainable and resource-efficient structures. This is mainly due to two reasons: 1) Tracing the…

Computational Engineering, Finance, and Science · Computer Science 2024-12-18 Hendrik Geisler , Emmanuel Baranger , Philipp Junker

One method to solve expensive black-box optimization problems is to use a surrogate model that approximates the objective based on previous observed evaluations. The surrogate, which is cheaper to evaluate, is optimized instead to find an…

Optimization and Control · Mathematics 2021-05-28 Rickard Karlsson , Laurens Bliek , Sicco Verwer , Mathijs de Weerdt

Recent developments in the field of computational modeling of fracture have opened up possibilities for designing structures against failure. A special case, called interfacial fracture or delamination, can occur in loaded composite…

Optimization and Control · Mathematics 2022-09-13 Sukhminder Singh , Lukas Pflug , Julia Mergheim , Michael Stingl

Stochastic unit commitment models typically handle uncertainties in forecast demand by considering a finite number of realizations from a stochastic process model for loads. Accurate evaluations of expectations or higher moments for the…

Systems and Control · Computer Science 2014-07-09 Cosmin Safta , Richard L. Chen , Habib N. Najm , Ali Pinar , Jean-paul watson

Providing guarantees on the safe operation of robots against edge cases is challenging as testing methods such as traditional Monte-Carlo require too many samples to provide reasonable statistics. Built upon recent advancements in…

Robotics · Computer Science 2023-05-01 Guy Scher , Sadra Sadraddini , Ariel Yadin , Hadas Kress-Gazit

The optimal selection of experimental conditions is essential to maximizing the value of data for inference and prediction, particularly in situations where experiments are time-consuming and expensive to conduct. We propose a general…

Machine Learning · Statistics 2012-12-04 Xun Huan , Youssef M. Marzouk

Latent force models are systems whereby there is a mechanistic model describing the dynamics of the system state, with some unknown forcing term that is approximated with a Gaussian process. If such dynamics are non-linear, it can be…

Machine Learning · Statistics 2019-11-05 Wil O. C. Ward , Tom Ryder , Dennis Prangle , Mauricio A. Álvarez

Risk management is particularly concerned with extreme events, but analysing these events is often hindered by the scarcity of data, especially in a multivariate context. This data scarcity complicates risk management efforts. Various tools…

Methodology · Statistics 2026-01-15 Nisrine Madhar , Juliette Legrand , Maud Thomas

In this paper, a simulation-based method for the analysis and design of abstracted models for a stochastic hybrid system is proposed. The accuracy of a model is evaluated in terms of its capability to reproduce the system output for all the…

Systems and Control · Computer Science 2014-05-29 M. Prandini , S. Garatti , R. Vignali

In this work, we propose a new estimation method of a Structural Equation Model. Our method is based on the EM likelihood-maximization algorithm. We show that this method provides estimators, not only of the coefficients of the model, but…

Statistics Theory · Mathematics 2015-10-02 Xavier Bry , Christian Lavergne , Myriam Tami