Sequential sampling for contour estimation with concurrent function evaluations

We demonstrate the use of multiple surrogates and kriging believer for parallelizing surrogate-based contour estimation. For the demonstration example, we reduce wall clock time with minimal penalty in number of simulations.

[1]  A. Basudhar,et al.  An improved adaptive sampling scheme for the construction of explicit boundaries , 2010 .

[2]  R. Brereton,et al.  Support vector machines for classification and regression. , 2010, The Analyst.

[3]  L. Watson,et al.  Why Not Run the Efficient Global Optimization Algorithm with Multiple Surrogates , 2010 .

[4]  R. Storn,et al.  Differential Evolution: A Practical Approach to Global Optimization (Natural Computing Series) , 2005 .

[5]  R. Haftka,et al.  Importing Uncertainty Estimates from One Surrogate to Another , 2009 .

[6]  Zissimos P. Mourelatos,et al.  A Re-Analysis Methodology for System RBDO Using a Trust Region Approach with Local Metamodels , 2010 .

[7]  Donald R. Jones,et al.  Efficient Global Optimization of Expensive Black-Box Functions , 1998, J. Glob. Optim..

[8]  Søren Nymand Lophaven,et al.  DACE - A Matlab Kriging Toolbox , 2002 .

[9]  M. Eldred,et al.  Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions , 2008 .

[10]  Li Tiancheng,et al.  アルゴリズム906: elrint3d―組み込み格子ルールのシーケンスを用いる三次元非適応自動立体求積法ルーチン , 2011 .

[11]  D. Ginsbourger,et al.  Kriging is well-suited to parallelize optimization , 2010 .

[12]  Victor Picheny,et al.  Adaptive Designs of Experiments for Accurate Approximation of a Target Region , 2010 .

[13]  George Michailidis,et al.  Erratum: Sequential experiment design for contour estimation from complex computer codes (Technometrics (2008) 50:4 (527-541)) , 2011 .

[14]  R. Haftka,et al.  Multiple surrogates: how cross-validation errors can help us to obtain the best predictor , 2009 .

[15]  K. Choi,et al.  Sampling-based RBDO using the stochastic sensitivity analysis and Dynamic Kriging method , 2011 .

[16]  Jingwei Zhang,et al.  Algorithm 905 , 2010 .

[17]  H. Zimmermann Towards global optimization 2: L.C.W. DIXON and G.P. SZEGÖ (eds.) North-Holland, Amsterdam, 1978, viii + 364 pages, US $ 44.50, Dfl. 100,-. , 1979 .

[18]  Gerhart I. Schuëller,et al.  A survey on approaches for reliability-based optimization , 2010 .

[19]  B. Sudret,et al.  Reliability-based design optimization using kriging surrogates and subset simulation , 2011, 1104.3667.

[20]  Changha Hwang,et al.  PREDICTION INTERVALS FOR SUPPORT VECTOR MACHINE REGRESSION , 2002 .

[21]  George Michailidis,et al.  Sequential Experiment Design for Contour Estimation From Complex Computer Codes , 2008, Technometrics.