Regression modeling for computer model validation with functional responses

Xuyuan Liu, Kwok Leung Tsui, Wei Chen*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

Statistical analysis of functional responses based on functional data from both computer and physical experiments has gained increasing attention due to the dynamic nature of many engineering systems. However, the complexity and huge amount of functional data bring many difficulties to apply traditional or existing methodologies. The objective of the present study is twofold: (1) prediction of functional responses based on functional data and (2) prediction of bias function for validation of a computer model that predicts functional responses. In this paper, we first develop a functional regression model with linear basis functions to analyze functional data. Then combining data from both computer and physical experiments, we use the functional analysis modeling to predict the bias function which is crucial for validating a computer model. The proposed method, following the classical nonparametric regression framework, uses a single step procedure which is easily implemented and computationally efficient. Through an application example of motor engine analysis to predict acceleration performance and gear shift events, we demonstrate our approach and compare it to using the Gaussian process modeling approach.

Original languageEnglish (US)
Title of host publicationASME 2008 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2008
Pages1265-1273
Number of pages9
Volume1
EditionPARTS A AND B
DOIs
StatePublished - Dec 1 2008
EventASME 2008 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2008 - Brooklyn, NY, United States
Duration: Aug 3 2008Aug 6 2008

Other

OtherASME 2008 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2008
CountryUnited States
CityBrooklyn, NY
Period8/3/088/6/08

Keywords

  • Functional regression model
  • Functional response
  • Model updating
  • Model validation
  • Nonparametric regression
  • Validation metric

ASJC Scopus subject areas

  • Modeling and Simulation
  • Mechanical Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design

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