Simulation study on TII estimators (Section 3.5), simulation results of test function high 2 nd order. method interaction true D i,j mean( D i,j ) sd( D i,j ) RMSE ,
Sensitivity measures,anova-like Techniques and the use of bootstrap, Journal of Statistical Computation and Simulation, vol.2, issue.2, pp.99-120, 1997. ,
DOI : 10.1142/S0129183195000204
Factor screening by sequential bifurcation, Communications in Statistics - Simulation and Computation, vol.3, issue.1, pp.165-185, 1995. ,
DOI : 10.1080/03610919508813236
Efficient computation of global sensitivity indices using sparse polynomial chaos expansions, Reliability Engineering & System Safety, vol.95, issue.11, pp.1216-1229, 2010. ,
DOI : 10.1016/j.ress.2010.06.015
Monte Carlo and quasi-Monte Carlo methods, Acta Numerica, vol.73, pp.1-49, 1998. ,
DOI : 10.1137/S0036142994277468
Comparison of sensitivity analysis techniques: A case study with the rice model WARM, Ecological Modelling, vol.221, issue.16, pp.1897-1906, 2010. ,
DOI : 10.1016/j.ecolmodel.2010.04.021
Average Values of Mean Squares in Factorials, The Annals of Mathematical Statistics, vol.27, issue.4, pp.907-949, 1956. ,
DOI : 10.1214/aoms/1177728067
The igraph software package for complex network research. InterJournal, Complex Systems, 1695. ,
Nonlinear sensitivity analysis of multiparameter model systems, Journal of Computational Physics, vol.26, issue.1, pp.1-42, 1978. ,
DOI : 10.1016/0021-9991(78)90097-9
One-at-a-Time Plans, Journal of the American Statistical Association, vol.31, issue.3, pp.353-360, 1973. ,
DOI : 10.1080/01621459.1973.10482433
A practical guide to splines, of Applied mathematical sciences, 2001. ,
DOI : 10.1007/978-1-4612-6333-3
ANOVA kernels and RKHS of zero mean functions for model-based sensitivity analysis, Journal of Multivariate Analysis, vol.115, pp.57-67, 2013. ,
DOI : 10.1016/j.jmva.2012.08.016
URL : https://hal.archives-ouvertes.fr/hal-00601472
The Jackknife Estimate of Variance, The Annals of Statistics, vol.9, issue.3, pp.586-596, 1981. ,
DOI : 10.1214/aos/1176345462
Design and modeling for computer experiments . Computer science and data analysis series, Boca Raton, 2006. ,
Estimation of the Sobol indices in a linear functional multidimensional model, Journal of Statistical Planning and Inference, vol.143, issue.9, pp.1590-1605, 2013. ,
DOI : 10.1016/j.jspi.2013.04.007
URL : https://hal.archives-ouvertes.fr/hal-00685998
New sensitivity analysis subordinated to a contrast, Communications in Statistics - Theory and Methods, vol.1, issue.4, 2014. ,
DOI : 10.1016/S0010-4655(02)00280-1
URL : https://hal.archives-ouvertes.fr/hal-00821308
DiceDesign: Designs of Computer Experiments, 2014. ,
Predictive learning via rule ensembles, The Annals of Applied Statistics, vol.2, issue.3, pp.916-954, 2008. ,
DOI : 10.1214/07-AOAS148
seqSAFI: sequential sensitivity analysis for functional inputs. R package version 1.0, available on http, 2014. ,
Sequential designs for sensitivity analysis of functional inputs in computer experiments, Reliability Engineering & System Safety, vol.134, 2014. ,
DOI : 10.1016/j.ress.2014.07.018
URL : https://hal.archives-ouvertes.fr/hal-00943509
Total interaction index: A variance-based sensitivity index for second-order interaction screening, Journal of Statistical Planning and Inference, vol.147, pp.212-223, 2014. ,
DOI : 10.1016/j.jspi.2013.11.007
URL : https://hal.archives-ouvertes.fr/hal-00631066
The fanovagraph package: Visualization of interaction structures and construction of block-additive Kriging models, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00795229
Sensitivity indices for multivariate outputs, Comptes Rendus Mathematique, vol.351, issue.7-8, pp.7-8, 2013. ,
DOI : 10.1016/j.crma.2013.04.016
URL : https://hal.archives-ouvertes.fr/hal-00800847
Global Sensitivity Analysis for multivariate output using Polynomial Chaos Expansion, Reliability Engineering & System Safety, vol.126, pp.25-36, 2014. ,
DOI : 10.1016/j.ress.2014.01.005
A Class of Statistics with Asymptotically Normal Distribution, The Annals of Mathematical Statistics, vol.19, issue.3, pp.293-325, 1948. ,
DOI : 10.1214/aoms/1177730196
Importance measures in global sensitivity analysis of nonlinear models, Reliability Engineering & System Safety, vol.52, issue.1, pp.1-17, 1996. ,
DOI : 10.1016/0951-8320(96)00002-6
Discovering additive structure in black box functions, Proceedings of the 2004 ACM SIGKDD international conference on Knowledge discovery and data mining , KDD '04, pp.575-580, 2004. ,
DOI : 10.1145/1014052.1014122
Global sensitivity analysis of computer models with functional inputs, Reliability Engineering & System Safety, vol.94, issue.7, pp.1194-1204, 2009. ,
DOI : 10.1016/j.ress.2008.09.010
URL : https://hal.archives-ouvertes.fr/hal-00243156
An importance quantification technique in uncertainty analysis for computer models, [1990] Proceedings. First International Symposium on Uncertainty Modeling and Analysis, pp.398-403, 1990. ,
DOI : 10.1109/ISUMA.1990.151285
A Parallel Optimization Algorithm based on FANOVA Decomposition, Quality and Reliability Engineering International, vol.3, issue.2, 2014. ,
DOI : 10.1002/qre.1710
Functional linear regression that???s interpretable, The Annals of Statistics, vol.37, issue.5A, pp.2083-2108, 2009. ,
DOI : 10.1214/08-AOS641
Asymptotic normality and efficiency of two Sobol index estimators, ESAIM: Probability and Statistics, vol.18, 2013. ,
DOI : 10.1051/ps/2013040
URL : https://hal.archives-ouvertes.fr/hal-00665048
Analysis of variance designs for model output, Computer Physics Communications, vol.117, issue.1-2, pp.35-43, 1999. ,
DOI : 10.1016/S0010-4655(98)00154-4
Techniques for estimating uncertainty in climate change scenarios and impact studies, Climate Research, vol.20, issue.2, pp.167-185, 2002. ,
DOI : 10.3354/cr020167
Sensitivity analysis and related analyses: A review of some statistical techniques, Journal of Statistical Computation and Simulation, vol.1, issue.1-4, pp.111-142, 1997. ,
DOI : 10.2307/1266728
A statistical approach to some basic mine valuation problems on the witwatersrand, Journal of the Chemical, Metallurgical and Mining Society of South Africa, vol.52, issue.6, pp.119-139, 1951. ,
Application of the control variate technique to estimation of total sensitivity indices, Reliability Engineering & System Safety, vol.134, 2014. ,
DOI : 10.1016/j.ress.2014.07.008
Monte Carlo evaluation of derivative-based global sensitivity measures, Reliability Engineering & System Safety, vol.94, issue.7, pp.1135-1148, 2009. ,
DOI : 10.1016/j.ress.2008.05.006
Derivative-based global sensitivity measures: General links with Sobol??? indices and numerical tests, Mathematics and Computers in Simulation, vol.87, pp.45-54, 2013. ,
DOI : 10.1016/j.matcom.2013.02.002
URL : https://hal.archives-ouvertes.fr/hal-00666473
Multivariate sensitivity analysis to measure global contribution of input factors in dynamic models, Reliability Engineering & System Safety, vol.96, issue.4, pp.450-459, 2011. ,
DOI : 10.1016/j.ress.2010.12.002
URL : https://hal.archives-ouvertes.fr/hal-00999840
Designing computer experiments to determinate robust control variables, Statistica Sinica, vol.14, pp.571-590, 2004. ,
Sensitivity analysis of spatial models, International Journal of Geographical Information Science, vol.58, issue.2, pp.151-168, 2009. ,
DOI : 10.1016/j.ress.2005.11.048
Estimating Mean Dimensionality of Analysis of Variance Decompositions, Journal of the American Statistical Association, vol.101, issue.474, pp.712-721, 2006. ,
DOI : 10.1198/016214505000001410
Extension of the RBD-FAST method to the computation of global sensitivity indices, Reliability Engineering & System Safety, vol.94, issue.8, pp.1274-1281, 2009. ,
DOI : 10.1016/j.ress.2009.01.012
URL : https://hal.archives-ouvertes.fr/hal-01093036
Calculations of Sobol indices for the Gaussian process metamodel, Reliability Engineering & System Safety, vol.94, issue.3, pp.742-751, 2009. ,
DOI : 10.1016/j.ress.2008.07.008
URL : https://hal.archives-ouvertes.fr/hal-00239494
Global sensitivity analysis of general nonlinear systems, 2002. ,
Evaluating prediction uncertainty, Div. of Systems Technol- ogy, 1995. ,
DOI : 10.2172/29432
Uncertainty and sensitivity analysis for crop models, Working with dynamic crop models, pp.55-99, 2006. ,
Factorial Sampling Plans for Preliminary Computational Experiments, Technometrics, vol.1, issue.2, pp.161-174, 1991. ,
DOI : 10.2307/1266468
An overview of group factor screening Screening methods for experimentation in industry, drug discovery, and genetics, pp.191-206, 2006. ,
Gaussian Surrogates for Computer Models With Time-Varying Inputs and Outputs, Technometrics, vol.128, issue.1, pp.42-50, 2012. ,
DOI : 10.1080/02664768700000020
Exploratory designs for computational experiments, Journal of Statistical Planning and Inference, vol.43, issue.3, pp.381-402, 1995. ,
DOI : 10.1016/0378-3758(94)00035-T
Computer experiments with functional inputs and scalar outputs by a norm-based approach, Statistics and Computing, vol.55, issue.3, 2014. ,
DOI : 10.1007/s11222-016-9672-z
Data-driven Kriging models based on FANOVA-decomposition, Statistics and Computing, vol.34, issue.4, pp.723-738, 2012. ,
DOI : 10.1007/s11222-011-9259-7
Better estimation of small sobol' sensitivity indices, ACM Transactions on Modeling and Computer Simulation, vol.23, issue.2, pp.1-17, 2013. ,
DOI : 10.1145/2457459.2457460
Variance Components and Generalized Sobol' Indices, SIAM/ASA Journal on Uncertainty Quantification, vol.1, issue.1, pp.19-41, 2013. ,
DOI : 10.1137/120876782
URL : http://arxiv.org/abs/1205.1774
An effective algorithm for computing global sensitivity indices (EASI), Reliability Engineering & System Safety, vol.95, issue.4, pp.354-360, 2010. ,
DOI : 10.1016/j.ress.2009.11.005
sensitivity: Sensitivity Analysis. R package version 1, pp.8-10, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00936929
Sensitivity analysis of car-following models: methodology and application, Proc. 90th Annual TRB Meeting, 2011. ,
R: A Language and Environment for Statistical Computing, 2014. ,
Efficient input???output model representations, Computer Physics Communications, vol.117, issue.1-2, pp.11-20, 1999. ,
DOI : 10.1016/S0010-4655(98)00152-0
Functional Data Analysis. Springer Series in Statistics, Biometrical Journal, vol.40, issue.1, 1997. ,
DOI : 10.1002/(SICI)1521-4036(199804)40:1<56::AID-BIMJ56>3.0.CO;2-#
Gaussian Processes in Machine Learning, 2006. ,
DOI : 10.1162/089976602317250933
Crossed-derivative based sensitivity measures for interaction screening, Mathematics and Computers in Simulation, vol.105, pp.105-118, 2014. ,
DOI : 10.1016/j.matcom.2014.05.005
URL : https://hal.archives-ouvertes.fr/hal-00845446
Packages for the Analysis of Computer Experiments by Kriging-Based Metamodeling and Optimization, Journal of Statistical Software, vol.51, issue.1, pp.1-55, 2012. ,
DOI : 10.18637/jss.v051.i01
URL : https://hal.archives-ouvertes.fr/hal-00495766
Making best use of model evaluations to compute sensitivity indices, Computer Physics Communications, vol.145, issue.2, pp.280-297, 2002. ,
DOI : 10.1016/S0010-4655(02)00280-1
An alternative way to compute Fourier amplitude sensitivity test (FAST), Computational Statistics & Data Analysis, vol.26, issue.4, pp.445-460, 1998. ,
DOI : 10.1016/S0167-9473(97)00043-1
Sensitivity analysis. Wiley series in probability and statistics, 2000. ,
URL : https://hal.archives-ouvertes.fr/inria-00386559
Sensitivity analysis practices: Strategies for model-based inference, Reliability Engineering & System Safety, vol.91, issue.10-11, pp.1109-1125, 2006. ,
DOI : 10.1016/j.ress.2005.11.014
A Quantitative Model-Independent Method for Global Sensitivity Analysis of Model Output, Technometrics, vol.60, issue.1, pp.39-56, 1999. ,
DOI : 10.1007/BF01166355
The design and analysis of computer experiments. Springer series in statistics, 2003. ,
Study of the sensitivity of coupled reaction systems to uncertainties in rate coefficients. II Applications, The Journal of Chemical Physics, vol.59, issue.8, pp.3879-3888, 1973. ,
DOI : 10.1063/1.1680572
Sensitivity estimates for non linear mathematical models, Mathematical Modelling and Computational Experiments, vol.1, pp.407-414, 1993. ,
Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates, Mathematics and Computers in Simulation, vol.55, pp.1-3, 2001. ,
On an alternative global sensitivity estimator, Samo 95: Theory and Applications of Sensitivity Analysis of Model Output in Computer Simulation, pp.40-42, 1995. ,
Derivative based global sensitivity measures and their link with global sensitivity indices, Mathematics and Computers in Simulation, vol.79, issue.10, pp.3009-3017, 2009. ,
DOI : 10.1016/j.matcom.2009.01.023
Random balance designs for the estimation of first order global sensitivity indices, Reliability Engineering & System Safety, vol.91, issue.6, pp.717-727, 2006. ,
DOI : 10.1016/j.ress.2005.06.003
URL : https://hal.archives-ouvertes.fr/hal-01065897
Bias correction for the estimation of sensitivity indices based on random balance designs, Reliability Engineering & System Safety, vol.107, pp.205-213, 2012. ,
DOI : 10.1016/j.ress.2012.06.010
URL : https://hal.archives-ouvertes.fr/hal-00507526
Finite element simulations for sheet metal forming process with functional input for the minimization of springback, IDDRG conference 2013, pp.393-398, 2013. ,
Asymptotic statistics, 1998. ,
DOI : 10.1017/CBO9780511802256
A primer on wavelets and their scientific applications, 1999. ,
DOI : 10.1201/9781420050011
A Study of the Group Screening Method, Technometrics, vol.38, issue.3, pp.371-388, 1961. ,
DOI : 10.1080/00401706.1961.10489954