Abstract
As performing many experiments and prototypes leads to a costly and long analysis process, scientists and engineers often rely on accurate simulators to reduce costs and improve efficiency. However, the computational demands of these simulators are also growing as their accuracy and complexity keeps increasing. Surrogate modeling is a powerful framework for data-efficient analysis of these simulators. A common use-case in engineering is sensitivity analysis to identify the importance of each of the inputs with regard to the output. In this work, we discuss surrogate modeling, sequential design, sensitivity analysis and how these three can be combined into a data-efficient sensitivity analysis method to accurately perform sensitivity analysis.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Borgonovo E (2007) A new uncertainty importance measure. Reliab Eng Syst Saf 92:771–784
Broomhead DS, Lowe D (1988) Radial basis functions, multi-variable functional interpolation and adaptive networks. Technical report, DTIC Document
Crestaux T, Le Maıtre O, Martinez JM (2009) Polynomial chaos expansion for sensitivity analysis. Reliab Eng Syst Saf 94(7):1161–1172
Crombecq K, Gorissen D, Deschrijver D, Dhaene T (2010) A novel hybrid sequential design strategy for global surrogate modelling of computer experiments. SIAM J Sci Comput 33(4):1948–1974
Cukier R, Levine H, Shuler K (1978) Nonlinear sensitivity analysis of multiparameter model systems. J Comput Phys 26(1):1–42
van Dam ER, Rennen G, Husslage B (2009) Bounds for maximin latin hypercube designs. Oper Res 57(3):595–608
Degroote J, Hojjat M, Stavropoulou E, Wüchner R, Bletzinger KU (2013) Partitioned solution of an unsteady adjoint for strongly coupled fluid-structure interactions and application to parameter identification of a one-dimensional problem. Struct Multidiscip Optim 47(1):77–94
Goethals K, Couckuyt I, Dhaene T, Janssens A (2012) Sensitivity of night cooling performance to room/system design: surrogate models based on CFD. Build Environ 58:23–36
Gorissen D (2010) Grid-enabled adaptive surrogate modeling for computer aided engineering. PhD thesis, Universiteit Gent
Gorissen D, Couckuyt I, Laermans E, Dhaene T (2010a) Multiobjective global surrogate modeling, dealing with the 5-percent problem. Eng Comput 26(1):81–98
Gorissen D, Crombecq K, Couckuyt I, Demeester P, Dhaene T (2010b) A surrogate modeling and adaptive sampling toolbox for computer based design. J Mach Learn Res 11:2051–2055
van der Herten J, Couckuyt I, Deschrijver D, Dhaene T (2015) A fuzzy hybrid sequential design strategy for global surrogate modeling of high-dimensional computer experiments. SIAM J Sci Comput 37(2):1020–1039
Hughes G (1968) On the mean accuracy of statistical pattern recognizers. IEEE Trans Inf Theory 14(1):55–63
Ishigami T, Homma T (1990) An importance quantification technique in uncertainty analysis for computer models. In: Proceedings of first international symposium on uncertainty modeling and analysis. IEEE, pp 398–403
Jin R (2004) Enhancements of metamodeling techniques in engineering design. PhD thesis, University of Illinois at Chicago
Lehmensiek R, Meyer P, Muller M (2002) Adaptive sampling applied to multivariate, multiple output rational interpolation models with applications to microwave circuits. Int J RF Microw Comput Aided Eng 12(4):332–340
Liu Q, Feng B, Liu Z, Zhang H (2017) The improvement of a variance-based sensitivity analysis method and its application to a ship hull optimization model. J Mar Sci Technol 22(4):694–709
Morris M (1991) Factorial sampling plans for preliminary computational experiments. Technometrics 33(2):161–174
Rasmussen CE, Williams CKI (2006) Gaussian processes for machine learning. MIT Press
Sacks J, Welch W, Mitchell T, Wynn H (1989) Design and analysis of computer experiments. Stat Sci 409–423
Saltelli A (2002a) Making best use of model valuations to compute sensitivity indices. Comput Phys Commun 145:280–297
Saltelli A (2002b) Sensitivity analysis for importance assessment. Risk Anal 22(3):579–590
Saltelli A, Tarantola S, Campolongo F, Ratto M (2004) Sensitivity analysis in practice: a guide to assessing scientific models. Wiley
Saltelli A, Ratto M, Andres T, Campolongo F, Cariboni J, Gatelli D, Saisana M, Tarantola S (2008) Global sensitivity analysis: the primer. Wiley
Santner T, Williams B, Notz W (2003) The design and analysis of computer experiments. Springer series in statistics. Springer-Verlag, New York
Sobol I (1993) Sensitivity analysis for nonlinear mathematical models. Math Model Comput Exp 1:407–414
Sobol I (2001) Global sensitivity indices for nonlinear mathematical models and their monte carlo estimates. Math Comput Simul 55(1–3):271–280
Sobol I, Kucherenko S (2009) Derivative based global sensitivity measures and their link with global sensitivity indices. Math Comput Simul 79(10):3009–3017
Sudret B, Mai C (2015) Computing derivative-based global sensitivity measures using polynomial chaos expansions. Reliab Eng Syst Saf 134:241–250
Suykens J, Gestel TV, Brabanter JD, Moor BD, Vandewalle J (2002) Least squares support vector machines. World Scientific Publishing Co. Pte Ltd, Singapore
Van Steenkiste T, van der Herten J, Couckuyt I, Dhaene T (2016) Sensitivity analysis of expensive black-box systems using metamodeling. In: 2016 winter simulation conference (WSC). IEEE, pp 578–589
Van Steenkiste T, van der Herten J, Couckuyt I, Dhaene T (2018) Sequential sensitivity analysis of expensive black-box simulators with metamodelling. Appl Math Model 61:668–681
Vu KK, D’Ambrosio C, Hamadi Y, Liberti L (2017) Surrogate-based methods for black-box optimization. Int Trans Oper Res 24(3):393–424
Wang G, Shan S (2007) Review of metamodeling techniques in support of engineering design optimization. J Mech Design 129(4):370–380
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Van Steenkiste, T., van der Herten, J., Couckuyt, I., Dhaene, T. (2019). Data-Efficient Sensitivity Analysis with Surrogate Modeling. In: Canavero, F. (eds) Uncertainty Modeling for Engineering Applications. PoliTO Springer Series. Springer, Cham. https://doi.org/10.1007/978-3-030-04870-9_4
Download citation
DOI: https://doi.org/10.1007/978-3-030-04870-9_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-04869-3
Online ISBN: 978-3-030-04870-9
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)