Focus of this paper is on the prediction accuracy of multidimensional functions at an inaccessible point. The paper explores the possibility of extrapolating a high-dimensional function using multiple one-dimensional converging lines. The main idea is to select samples along lines towards the inaccessible point. Multi-dimensional extrapolation is thus transformed into a series of one-dimensional extrapolations that provide multiple estimates at the inaccessible point. We demonstrate the performance of converging lines using Kriging to extrapolate a two-dimensional drag coefficient function. Post-processing of extrapolation results from different lines based on Bayesian theory is proposed to combine the multiple predictions. Selection of lines is also discussed. The method of converging lines proves to be more robust and reliable than two-dimensional Kriging surrogate for the example.
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ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
August 2–5, 2015
Boston, Massachusetts, USA
Conference Sponsors:
- Design Engineering Division
- Computers and Information in Engineering Division
ISBN:
978-0-7918-5708-3
PROCEEDINGS PAPER
Function Extrapolation at One Inaccessible Point Using Converging Lines
Yiming Zhang,
Yiming Zhang
University of Florida, Gainesville, FL
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Nam Ho Kim,
Nam Ho Kim
University of Florida, Gainesville, FL
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Chanyoung Park,
Chanyoung Park
University of Florida, Gainesville, FL
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Raphael T. Haftka
Raphael T. Haftka
University of Florida, Gainesville, FL
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Yiming Zhang
University of Florida, Gainesville, FL
Nam Ho Kim
University of Florida, Gainesville, FL
Chanyoung Park
University of Florida, Gainesville, FL
Raphael T. Haftka
University of Florida, Gainesville, FL
Paper No:
DETC2015-47689, V02BT03A027; 7 pages
Published Online:
January 19, 2016
Citation
Zhang, Y, Kim, NH, Park, C, & Haftka, RT. "Function Extrapolation at One Inaccessible Point Using Converging Lines." Proceedings of the ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 2B: 41st Design Automation Conference. Boston, Massachusetts, USA. August 2–5, 2015. V02BT03A027. ASME. https://doi.org/10.1115/DETC2015-47689
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