2016
DOI: 10.1016/j.ress.2016.03.021
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Accurate construction of high dimensional model representation with applications to uncertainty quantification

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Cited by 18 publications
(1 citation statement)
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“…Emulation may be used in situations when a fire spread model has high computational time and/or a lot of simulations or calls of a given function is required, but emulators are rarely used in wildland fire research even though their potential for reducing computational time of simulations appears desirable in this field. Examples include data assimilation of a fire front via polynomial chaos (Rochoux et al, 2014); sensitivity analysis through the computation of Sobol' indices related to the area and shape of the simulated burned surface with emulation by either Gaussian processes (GP) or generalized polynomial chaos (Trucchia, Egorova, Pagnini, & Rochoux, 2019); uncertainty quantification and computation of Sobol' indices regarding the rate of spread (ROS) model of Rothermel (Rothermel, 1972) using high dimensional model representation methods (Liu, Hussaini, & Ökten, 2016); interpolation in a cell-based wildland fire spread simulator to quickly compute the values of correction factors in the relationship between advection velocity and spread angle on the basis of pre-computed values obtained in a few given configurations using a Radial Basis Function (RBF) approach (Ghisu, Arca, Pellizzaro, & Duce, 2015). Another example outside the scope of fire spread is the emulation of some outputs of a fire emission model with GP (Katurji et al, 2015).…”
Section: Introductionmentioning
confidence: 99%
“…Emulation may be used in situations when a fire spread model has high computational time and/or a lot of simulations or calls of a given function is required, but emulators are rarely used in wildland fire research even though their potential for reducing computational time of simulations appears desirable in this field. Examples include data assimilation of a fire front via polynomial chaos (Rochoux et al, 2014); sensitivity analysis through the computation of Sobol' indices related to the area and shape of the simulated burned surface with emulation by either Gaussian processes (GP) or generalized polynomial chaos (Trucchia, Egorova, Pagnini, & Rochoux, 2019); uncertainty quantification and computation of Sobol' indices regarding the rate of spread (ROS) model of Rothermel (Rothermel, 1972) using high dimensional model representation methods (Liu, Hussaini, & Ökten, 2016); interpolation in a cell-based wildland fire spread simulator to quickly compute the values of correction factors in the relationship between advection velocity and spread angle on the basis of pre-computed values obtained in a few given configurations using a Radial Basis Function (RBF) approach (Ghisu, Arca, Pellizzaro, & Duce, 2015). Another example outside the scope of fire spread is the emulation of some outputs of a fire emission model with GP (Katurji et al, 2015).…”
Section: Introductionmentioning
confidence: 99%