Theorems and examples on high dimensional model representation

被引：356

作者：

Sobol, IM ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Math Modelling, Moscow 125047, Russia

来源：

RELIABILITY ENGINEERING & SYSTEM SAFETY | 2003年 / 79卷 / 02期

关键词：

analysis of variances; high dimensional model representation; global sensitivity indices;

D O I：

10.1016/S0951-8320(02)00229-6

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Mathematical models described by multivariable functions f(x) where x = (x(1),...,x(n)) are investigated. If the model output is influenced mainly by low order combinations of input variables x(1),...,x(n), an attempt can be made to construct a low order approximation to the model using values of f(x) only. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：187 / 193

页数：7

共 9 条

[1] Sensitivity measures, ANOVA-like techniques and the use of bootstrap [J].

Archer, GEB ;

Saltelli, A ;

Sobol, IM .

JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 1997, 58 (02) :99-120

[2]

CHAN K, 1998, P SAMO 98 VEN OFF PU

[3] Efficient input-output model representations [J].

Rabitz, H ;

Alis, ÖF ;

Shorter, J ;

Shim, K .

COMPUTER PHYSICS COMMUNICATIONS, 1999, 117 (1-2) :11-20

[4] About the use of rank transformation in sensitivity analysis of model output [J].

Saltelli, A ;

Sobol, IM .

RELIABILITY ENGINEERING & SYSTEM SAFETY, 1995, 50 (03) :225-239

[5]

Saltelli A, 1995, MATEMATICHESKOE MODE, V7

[6]

Sobol I.M., 1969, Multidimensional quadrature formulas and Haar functions

[7]

Sobol I.M., 1993, Mathematical Modeling and Computational Experiment, V1, P407

[8]

SOBOL IM, 1996, VESTNIK MOSK U M, V6, P92

[9]

SOBOL IM, 1967, SOV MATH DOKL, V8, P810

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