In this work, we explore how interval-based approaches can be used to obtain a solution to the inverse problem, in particular when measurements are inconsistent with one another. We applied this strategy to identify the elastic parameters of an isotropic material, and it allows us to take into account both prior information about the parameters and measurement uncertainty in the form of sets (intervals or boxes) during the inversion process. The main advantage of this strategy is not only that it helps to obtain a feasible set of parameters, but that it is also able to detect the outliers among noisy measurements. This particular chapter explores how this strategy can be used in combination to surrogate modeling for identification problems in high dimensional settings.


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    Title :

    Dealing with High Dimensional Inconsistent Measurements in Inverse Problems Using Surrogate Modeling: An Approach Based on Sets and Intervals


    Additional title:

    Space Technol.Proceedings



    Conference:

    International Conference on Uncertainty Quantification & Optimisation ; 2020 ; Brussels, Belgium November 17, 2020 - November 20, 2020



    Publication date :

    2021-07-16


    Size :

    13 pages





    Type of media :

    Article/Chapter (Book)


    Type of material :

    Electronic Resource


    Language :

    English





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