To develop and analyze new computational techniques for the Boltzmann equation based on model or approximation adaptivity, it is imperative to have disposal of a compliant model problem that displays the essential characteristics of the Boltzmann equation and that admits the extraction of highly accurate reference solutions.
Homeostasis model assessment (HOMA) of insulin resistance (HOMA-IR) calculation was based on model-derived estimates (rather than linear approximations) using the HOMA2 calculator version 2.2 (http://www.dtu.ox.ac.uk/index.php?maindoc=/homa/index.php, Diabetes Trials Unit, University of Oxford, Oxford, U.K). (25, 26).
However, different analysts produce different models based on different modelling approximations and assumptions.
In this paper, a novel multi-objective optimization method is suggested based on an approximation model management technique.
The non-dominated sorting genetic algorithm II (NSGA-II) was utilized to optimize the thickness of the steel plates based on the approximation model.
In order to reduce frame redundant weight caused by the traditional experience design and delay the crack initiation occurrences at local positions during early service period, a structural weight and lifetime co-optimization method for frame of a mining dump truck based on Kriging approximation model was proposed.
In order to implement the AFKF, an accurate mathematical model, based on the approximation of temperatures along the process by first order dynamic model, is considered.
We constructed confidence intervals based on t-test for Models A - C, and Wald interval based on normal approximation for Models D and E. We estimated bias as the difference between the average estimate of β1 over 1000 simulated datasets and the true effect.
In the paper "Network anomaly detection based on wavelet analysis," coauthored by Wei Lu and Ali Ghorbani, the authors propose a new network anomaly detection model based on wavelet approximation and system identification theory.
To create an appropriate metamodel for marine systems, Lee (2015) compares the prediction accuracy of the approximation model, and multi-objective optimal design framework is proposed based on a confirmed approximation model.
