Robust calibration of numerical models based on relative regret - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Journal of Computational Physics Year : 2021

Robust calibration of numerical models based on relative regret

Abstract

Classical methods of calibration usually imply the minimisation of an objective function with respect to some control parameters. This function measures the error between some observations and the results obtained by a numerical model. In the presence of uncontrollable additional parameters that we model as random inputs, the objective function becomes a random variable, and notions of robustness have to be introduced for such an optimisation problem.In this paper, we are going to present how to take into account those uncertainties by defining the relative-regret. This quantity allow us to compare the value of the objective function to its best performance achievable given a realisation of the random additional parameters. By controlling this relative-regret using a probabilistic constraint, we can then define a new family of estimators, whose robustness with respect to the random inputs can be adjusted.
Fichier principal
Vignette du fichier
article.pdf (3.95 Mo) Télécharger le fichier
Origin Files produced by the author(s)
Loading...

Dates and versions

hal-02464780 , version 1 (03-02-2020)
hal-02464780 , version 2 (19-10-2020)
hal-02464780 , version 3 (06-11-2020)

Identifiers

Cite

Victor Trappler, Élise Arnaud, Arthur Vidard, Laurent Debreu. Robust calibration of numerical models based on relative regret. Journal of Computational Physics, 2021, 426, pp.109952:1-19. ⟨10.1016/j.jcp.2020.109952⟩. ⟨hal-02464780v3⟩
333 View
226 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More