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Metamodels for uncertainty quantification and reliability analysis

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Authors : Marelli, Stefano (Author of the conference)
CIRM (Publisher )

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Abstract : Uncertainty quantification (UQ) in the context of engineering applications aims aims at quantifying the effects of uncertainty in the input parameters of complex models on their output responses. Due to the increased availability of computational power and advanced modelling techniques, current simulation tools can provide unprecedented insight in the behaviour of complex systems. However, the associated computational costs have also increased significantly, often hindering the applicability of standard UQ techniques based on Monte-Carlo sampling. To overcome this limitation, metamodels (also referred to as surrogate models) have become a staple tool in the Engineering UQ community. This lecture will introduce a general framework for dealing with uncertainty in the presence of expensive computational models, in particular for reliability analysis (also known as rare event estimation). Reliability analysis focuses on the tail behaviour of a stochastic model response, so as to compute the probability of exceedance of a given performance measure, that would result in a critical failure of the system under study. Classical approximation-based techniques, as well as their modern metamodel-based counter-parts will be introduced.

MSC Codes :
62N05 - Reliability and life testing (survival analysis)
62P30 - Applications of statistics in engineering and industry
65C05 - Monte Carlo methods
90B25 - Reliability, availability, maintenance, inspection, etc. (optimization)

Additional resources :
http://smai.emath.fr/cemracs/cemracs17/Slides/marelli.pdf

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 01/08/17
    Conference Date : 21/07/17
    Subseries : Research School
    arXiv category : Statistics Theory ; Numerical Analysis ; Computer Science
    Mathematical Area(s) : Numerical Analysis & Scientific Computing ; Probability & Statistics
    Format : MP4 (.mp4) - HD
    Video Time : 01:07:59
    Targeted Audience : Researchers ; Graduate Students
    Download : https://videos.cirm-math.fr/2017-07-21_Marelli.mp4

Information on the Event

Event Title : CEMRACS - Summer school: Numerical methods for stochastic models: control, uncertainty quantification, mean-field / CEMRACS - École d'été : Méthodes numériques pour équations stochastiques : contrôle, incertitude, champ moyen
Event Organizers : Bouchard, Bruno ; Chassagneux, Jean-François ; Delarue, François ; Gobet, Emmanuel ; Lelong, Jérôme
Dates : 17/07/17 - 25/08/17
Event Year : 2017
Event URL : http://conferences.cirm-math.fr/1556.html

Citation Data

DOI : 10.24350/CIRM.V.19201603
Cite this video as: Marelli, Stefano (2017). Metamodels for uncertainty quantification and reliability analysis. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19201603
URI : http://dx.doi.org/10.24350/CIRM.V.19201603

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