mathematical_model_eval: Evaluation of the mathmatical model at given observed inputs...

In RobustCalibration: Robust Calibration of Imperfect Mathematical Models

Evaluation of the mathmatical model at given observed inputs and calibration parameters.

Description

This function evaluates the mathematical model at given observed inputs and calibration parameters.

Usage

mathematical_model_eval(input,theta,simul_type, emulator,
emulator_type,loc_index_emulator,math_model)

Arguments

input	a matrix of the observed inputs.
theta	a vector of calibration parameters.
simul_type	tpye of math model. If the simul_type is 0, it means we use the RobustGaSP R package to emulate the math model. If the simul_type is 1, it means the function of the math model is given by the user. When simul_type is 2 or 3, the mathematical model is the geophyiscal model for Kilauea Volcano. If the simul_type is 2, it means it is for the ascending mode InSAR data; if the simul_type is 3, it means it is for the descending mode InSAR data.
emulator	an S4 class of rgasp model from the RobustGaSP R Package.
emulator_type	a character to specify the type of emulator. 'rgasp' is for computer models with scalar-valued output and 'ppgasp' for computer models with vectorized output.
loc_index_emulator	a vector of the location index from the ppgasp emulator to output. Only useful for vectorized output computer model emulated by the ppgasp emulator.
math_model	a function for the math model to be calibrated.

Value

a vector of outputs from the math model or its emulator at given observed inputs and calibration parameters.

Author(s)

Mengyang Gu [aut, cre]

Maintainer: Mengyang Gu <[e-mail]>

References

A. O'Hagan and M. C. Kennedy (2001), Bayesian calibration of computer models, Journal of the Royal Statistical Society: Series B (Statistical Methodology, 63, 425-464.

K. R. Anderson and M. P. Poland (2016), Bayesian estimation of magma supply, storage, and eroption rates using a multiphysical volcano model: Kilauea volcano, 2000-2012.. Eath and Planetary Science Letters, 447, 161-171.

K. R. Anderson and M. P. Poland (2017), Abundant carbon in the mantle beneath Hawaii. Nature Geoscience, 10, 704-708.

RobustCalibration documentation built on June 22, 2024, 10:37 a.m.