Title
Proposal for a function generator and extrapolation analysis
Abstract
We propose a polynomial-based function generator to support decision-making in the context of experimental modeling (identification). The function generator tries to imitate regression problems in engineering applications. Stochastic elements ensure high variability between generated functions, while the user is able to choose a general complexity level defined by the strength of the nonlinearity and the order of interactions. An extension to overcome unfavorable properties of the polynomial-based structure is made. The ability to generate an arbitrary amount of test functions offers the possibility to statistically secure decisions in the development of algorithms or for the modeling task at hand. To demonstrate the abilities of our proposed function generator, it is utilized to pick a strategy for the design of experiments that should be used for the metamodeling of a centrifugal fan. We show, that for the application at hand the inclusion of all corners in the experimental design is destructive for the meta model's generalization performance.
Year
DOI
Venue
2015
10.1109/INISTA.2015.7276762
2015 International Symposium on Innovations in Intelligent SysTems and Applications (INISTA)
Keywords
Field
DocType
extrapolation analysis,polynomial-based function generator,decision-making,experimental modeling,identification,regression problems,engineering applications,stochastic elements,general complexity level,nonlinearity,order of interactions,polynomial-based structure,design of experiments,centrifugal fan metamodeling,meta model generalization performance
Data modeling,Nonlinear system,Function generator,Polynomial,Computer science,Signal generator,Algorithm,Extrapolation,Metamodeling,Design of experiments
Conference
Citations 
PageRank 
References 
0
0.34
2
Authors
2
Name
Order
Citations
PageRank
julian belz111.71
Oliver Nelles29917.27