A variety of metamodeling techniques have been developed in the past decade to reduce the computational expense of computer-based analysis and simulation codes. Metamodeling is the process of building a “model of a model” to provide a fast surrogate for a computationally expensive computer code. Common metamodeling techniques include response surface methodology, kriging, radial basis functions, and multivariate adaptive regression splines. In this paper, we investigate support vector regression (SVR) as an alternative technique for approximating complex engineering analyses. The computationally efficient theory behind SVR is reviewed, and SVR approximations are compared against the aforementioned four metamodeling techniques using a test bed of 26 engineering analysis functions. SVR achieves more accurate and more robust function approximations than the four metamodeling techniques, and shows great potential for metamodeling applications, adding to the growing body of promising empirical performance of SVR.
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November 2005
Research Papers
Analysis of Support Vector Regression for Approximation of Complex Engineering Analyses
Stella M. Clarke,
Stella M. Clarke
Department of Industrial & Manufacturing Engineering,
The Pennsylvania State University
, University Park, PA 16802
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Jan H. Griebsch,
Jan H. Griebsch
Doctoral Candidate
Lehrstuhl für Effiziente Algorithmen,
The Technical University of Munich
, Munich, Germany
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Timothy W. Simpson
Timothy W. Simpson
Departments of Mechanical & Nuclear and Industrial & Manufacturing Engineering,
e-mail: tws8@psu.edu
The Pennsylvania State University
, University Park, PA 16802
Search for other works by this author on:
Stella M. Clarke
Department of Industrial & Manufacturing Engineering,
The Pennsylvania State University
, University Park, PA 16802
Jan H. Griebsch
Doctoral Candidate
Lehrstuhl für Effiziente Algorithmen,
The Technical University of Munich
, Munich, Germany
Timothy W. Simpson
Departments of Mechanical & Nuclear and Industrial & Manufacturing Engineering,
The Pennsylvania State University
, University Park, PA 16802e-mail: tws8@psu.edu
J. Mech. Des. Nov 2005, 127(6): 1077-1087 (11 pages)
Published Online: August 13, 2004
Article history
Received:
October 7, 2003
Revised:
August 13, 2004
Citation
Clarke, S. M., Griebsch, J. H., and Simpson, T. W. (August 13, 2004). "Analysis of Support Vector Regression for Approximation of Complex Engineering Analyses." ASME. J. Mech. Des. November 2005; 127(6): 1077–1087. https://doi.org/10.1115/1.1897403
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