A multifidelity approach for the construction of explicit decision boundaries: application to aeroelasticity

被引:20
作者
Dribusch, Christoph [1 ]
Missoum, Samy [1 ]
Beran, Philip [2 ]
机构
[1] Univ Arizona, Dept Aerosp & Mech Engn, Tucson, AZ 85721 USA
[2] USAF, Res Lab, Wright Patterson Air Force Base, Dayton, OH 45433 USA
基金
美国国家科学基金会;
关键词
Support vector machines; Multifidelity; Flutter boundary; SUPPORT VECTOR MACHINES; VARIABLE FIDELITY OPTIMIZATION; RESPONSE-SURFACE; DESIGN;
D O I
10.1007/s00158-010-0516-8
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper presents a multifidelity approach for the construction of explicit decision boundaries (constraints or limit-state functions) using support vector machines. A lower fidelity model is used to select specific samples to construct the decision boundary corresponding to a higher fidelity model. This selection is based on two schemes. The first scheme selects samples within an envelope constructed from the lower fidelity model. The second technique is based on the detection of regions of inconsistencies between the lower and the higher fidelity decision boundaries. The approach is applied to analytical examples as well as an aeroelasticity problem for the construction of a nonlinear flutter boundary.
引用
收藏
页码:693 / 705
页数:13
相关论文
共 28 条
  • [1] Alexandrov N.M., 2000, 1 ORDER MODEL MANAGE
  • [2] Alexandrov N.M., 2000, Optimization With Variable-Fidelity Models Applied to Wing Design
  • [3] [Anonymous], 2004, Introduction to Machine Learning
  • [4] [Anonymous], 49 AIAA ASME ASCE AH
  • [5] [Anonymous], 11 AIAA ISSMO MULT A
  • [6] [Anonymous], 2008, P 46 AIAA AER SCI M, DOI DOI 10.2514/6.2008-1235
  • [7] [Anonymous], 48 AIAA ASME ASCE AH
  • [8] BALABANOV V, 1998, 7 AIAA USAF NASA ISS, P778
  • [9] Adaptive explicit decision functions for probabilistic design and optimization using support vector machines
    Basudhar, Anirban
    Missoum, Samy
    [J]. COMPUTERS & STRUCTURES, 2008, 86 (19-20) : 1904 - 1917
  • [10] Limit state function identification using Support Vector Machines for discontinuous responses and disjoint failure domains
    Basudhar, Anirban
    Missoum, Samy
    Sanchez, Antonio Harrison
    [J]. PROBABILISTIC ENGINEERING MECHANICS, 2008, 23 (01) : 1 - 11