Sensitivity analysis via Karhunen-Loève expansion of a random field model: Estimation of Sobol' indices and experimental design
暂无分享,去创建一个
[1] W. J. Studden,et al. Theory Of Optimal Experiments , 1972 .
[2] Toby J. Mitchell,et al. An Algorithm for the Construction of “D-Optimal” Experimental Designs , 2000, Technometrics.
[3] Thierry Alex Mara,et al. Comparison of some efficient methods to evaluate the main effect of computer model factors , 2008 .
[4] Adrian E. Raftery,et al. Bayesian Model Averaging: A Tutorial , 2016 .
[5] K. Shuler,et al. A STUDY OF THE SENSITIVITY OF COUPLED REACTION SYSTEMS TO UNCERTAINTIES IN RATE COEFFICIENTS . II , 2014 .
[6] Olivier Dubrule,et al. Cross validation of kriging in a unique neighborhood , 1983 .
[7] Ilya M. Sobol,et al. Sensitivity Estimates for Nonlinear Mathematical Models , 1993 .
[8] Agnès Lagnoux,et al. Estimation of the Sobol indices in a linear functional multidimensional model , 2013 .
[9] Bruno Sudret,et al. Efficient computation of global sensitivity indices using sparse polynomial chaos expansions , 2010, Reliab. Eng. Syst. Saf..
[10] Clémentine Prieur,et al. A randomized orthogonal array-based procedure for the estimation of first- and second-order Sobol' indices , 2015 .
[11] J. Imhof. Computing the distribution of quadratic forms in normal variables , 1961 .
[12] A. O'Hagan,et al. Probabilistic sensitivity analysis of complex models: a Bayesian approach , 2004 .
[13] Marc S. Paolella,et al. Evaluating the density of ratios of noncentral quadratic forms in normal variables , 2009, Comput. Stat. Data Anal..
[14] Elise Arnaud,et al. Recursive estimation procedure of Sobol' indices based on replicated designs , 2016 .
[15] C. Fortuin,et al. Study of the sensitivity of coupled reaction systems to uncertainties in rate coefficients. I Theory , 1973 .
[16] Olivier Roustant,et al. Calculations of Sobol indices for the Gaussian process metamodel , 2008, Reliab. Eng. Syst. Saf..
[17] Stefano Tarantola,et al. Variance-Based Sensitivity Analysis: Theory and Estimation Algorithms , 2015 .
[18] Lluís Antoni Jiménez Rugama,et al. Iterative construction of replicated designs based on Sobol' sequences , 2017 .
[19] Anthony C. Atkinson,et al. Optimum Experimental Designs, with SAS , 2007 .
[20] Valerii Fedorov,et al. 16 Design of spatial experiments: Model fitting and prediction , 1996 .
[21] B. Torsney,et al. MV-Optimization in Weighted Linear Regression , 1998 .
[22] Bruno Sudret,et al. Effective Design for Sobol Indices Estimation Based on Polynomial Chaos Expansions , 2016, COPA.
[23] K. Shuler,et al. Study of the sensitivity of coupled reaction systems to uncertainties in rate coefficients. II Applications , 1973 .
[24] A. Saltelli,et al. Making best use of model evaluations to compute sensitivity indices , 2002 .
[25] L. Pronzato. Minimax and maximin space-filling designs: some properties and methods for construction , 2017 .
[26] B. Efron,et al. The Jackknife Estimate of Variance , 1981 .
[27] Roger Woodard,et al. Interpolation of Spatial Data: Some Theory for Kriging , 1999, Technometrics.
[28] Bruno Sudret,et al. Global sensitivity analysis using polynomial chaos expansions , 2008, Reliab. Eng. Syst. Saf..
[29] David Ginsbourger,et al. On ANOVA Decompositions of Kernels and Gaussian Random Field Paths , 2014, MCQMC.
[30] Claire Cannamela,et al. A Bayesian Approach for Global Sensitivity Analysis of (Multifidelity) Computer Codes , 2013, SIAM/ASA J. Uncertain. Quantification.
[31] Adrian E. Raftery,et al. Bayesian model averaging: a tutorial (with comments by M. Clyde, David Draper and E. I. George, and a rejoinder by the authors , 1999 .
[32] Alen Alexanderian. On spectral methods for variance based sensitivity analysis , 2013 .
[33] Stefano Tarantola,et al. A Quantitative Model-Independent Method for Global Sensitivity Analysis of Model Output , 1999, Technometrics.
[34] K. Shuler,et al. Study of the sensitivity of coupled reaction systems to uncertainties in rate coefficients. III. Analysis of the approximations , 1975 .
[35] David Ginsbourger,et al. ANOVA kernels and RKHS of zero mean functions for model-based sensitivity analysis , 2011, J. Multivar. Anal..
[36] Luc Pronzato,et al. Convex relaxation for IMSE optimal design in random-field models , 2017, Comput. Stat. Data Anal..
[37] Luc Pronzato,et al. Bayesian Local Kriging , 2014, Technometrics.