A probabilistic metric for the validation of computational models

Dvurecenska, Ksenija and Graham, Steve and Patelli, Edoardo and Patterson, Eann A. (2018) A probabilistic metric for the validation of computational models. Royal Society Open Science, 5 (11). ISSN 2054-5703

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    Abstract

    A new validation metric is proposed that combines the use of a threshold based on the uncertainty in the measurement data with a normalised relative error, and that is robust in the presence of large variations in the data. The outcome from the metric is the probability that a model's predictions are representative of the real world based on the specific conditions and confidence level pertaining to the experiment from which the measurements were acquired. Relative error metrics are traditionally designed for use with series of data values but orthogonal decomposition has been employed to reduce the dimensionality of data matrices to feature vectors so that the metric can be applied to fields of data. Three previously published case studies are employed to demonstrate the efficacy of this quantitative approach to the validation process in the discipline of structural analysis, for which historical data was available; however, the concept could be applied to a wide range of disciplines and sectors where modelling and simulation plays a pivotal role.

    Creators(s): Dvurecenska, Ksenija, Graham, Steve, Patelli, Edoardo ORCID logoORCID: https://orcid.org/0000-0002-5007-7247 and Patterson, Eann A.;
    Item type:Article
    ID code:70367
    Keywords:relative error, model validation, computational modelling, orthogonal decomposition, Mathematics, Electronic computers. Computer science, Modelling and Simulation, Computer Science(all)
    Subjects:Science > Mathematics
    Science > Mathematics > Electronic computers. Computer science
    Department:Faculty of Engineering > Civil and Environmental Engineering
    Depositing user: Pure Administrator
    Date deposited:31 Oct 2019 11:41
    Last modified:01 Mar 2021 02:03
    URI:https://strathprints.strath.ac.uk/id/eprint/70367
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