{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,6]],"date-time":"2026-10-06T17:16:14Z","timestamp":1791306974974,"version":"4.3.1"},"reference-count":44,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2014,5,21]],"date-time":"2014-05-21T00:00:00Z","timestamp":1400630400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Stat Comput"],"published-print":{"date-parts":[[2015,11]]},"DOI":"10.1007\/s11222-014-9477-x","type":"journal-article","created":{"date-parts":[[2014,5,20]],"date-time":"2014-05-20T19:25:50Z","timestamp":1400613950000},"page":"1265-1280","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":81,"title":["Multiobjective optimization using Gaussian process emulators via stepwise uncertainty reduction"],"prefix":"10.1007","volume":"25","author":[{"given":"Victor","family":"Picheny","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2014,5,21]]},"reference":[{"issue":"1","key":"9477_CR1","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1093\/biomet\/ass068","volume":"100","author":"A Banerjee","year":"2013","unstructured":"Banerjee, A., Dunson, D.B., Tokdar, S.T.: Efficient gaussian process regression for large datasets. Biometrika 100(1), 75\u201389 (2013)","journal-title":"Biometrika"},{"issue":"3","key":"9477_CR2","doi-asserted-by":"crossref","first-page":"773","DOI":"10.1007\/s11222-011-9241-4","volume":"22","author":"J Bect","year":"2012","unstructured":"Bect, J., Ginsbourger, D., Li, L., Picheny, V., Vazquez, E.: Sequential design of computer experiments for the estimation of a probability of failure. Stat. Comput. 22(3), 773\u2013793 (2012)","journal-title":"Stat. Comput."},{"key":"9477_CR3","doi-asserted-by":"crossref","unstructured":"Chevalier, C., Bect, J., Ginsbourger, D., Vazquez, E., Picheny, V., Richet, Y.: Fast parallel kriging-based stepwise uncertainty reduction with application to the identification of an excursion set (2014a).","DOI":"10.1080\/00401706.2013.860918"},{"key":"9477_CR4","doi-asserted-by":"crossref","first-page":"1021","DOI":"10.1016\/j.csda.2013.03.008","volume":"71","author":"C Chevalier","year":"2014","unstructured":"Chevalier, C., Picheny, V., Ginsbourger, D.: Kriginv: an efficient and user-friendly implementation of batch-sequential inversion strategies based on kriging. Comput. Stat. Data Anal. 71, 1021\u20131034 (2014b)","journal-title":"Comput. Stat. Data Anal."},{"key":"9477_CR5","volume-title":"Multiobjective Optimization: Principles and Case Studies","author":"Y Collette","year":"2003","unstructured":"Collette, Y., Siarry, P.: Multiobjective Optimization: Principles and Case Studies. Springer, Berlin (2003)"},{"issue":"3","key":"9477_CR6","doi-asserted-by":"crossref","first-page":"640","DOI":"10.1016\/j.jspi.2009.08.006","volume":"140","author":"S Conti","year":"2010","unstructured":"Conti, S., O\u2019Hagan, A.: Bayesian emulation of complex multi-output and dynamic computer models. J. Stat. Plan. Inference 140(3), 640\u2013651 (2010)","journal-title":"J. Stat. Plan. Inference"},{"issue":"10","key":"9477_CR7","doi-asserted-by":"crossref","first-page":"936","DOI":"10.1071\/FP08081","volume":"35","author":"E Costes","year":"2008","unstructured":"Costes, E., Smith, C., Renton, M., Gu\u00e9don, Y., Prusinkiewicz, P., Godin, C.: MAppleT: simulation of apple tree development using mixed stochastic and biomechanical models. Funct. Plant Biol. 35(10), 936\u2013950 (2008)","journal-title":"Funct. Plant Biol."},{"key":"9477_CR8","doi-asserted-by":"crossref","unstructured":"Couckuyt, I., Deschrijver, D., Dhaene, T.: Fast calculation of multiobjective probability of improvement and expected improvement criteria for pareto optimization. J. Glob. Optim. pp. 1\u201320 (2013).","DOI":"10.1007\/s10898-013-0118-2"},{"issue":"454","key":"9477_CR9","doi-asserted-by":"crossref","first-page":"717","DOI":"10.1198\/016214501753168370","volume":"96","author":"PS Craig","year":"2001","unstructured":"Craig, P.S., Goldstein, M., Rougier, J.C., Seheult, A.H.: Bayesian forecasting for complex systems using computer simulators. J. Am. Stat. Assoc. 96(454), 717\u2013729 (2001)","journal-title":"J. Am. Stat. Assoc."},{"key":"9477_CR10","doi-asserted-by":"crossref","DOI":"10.1002\/9781119115151","volume-title":"Statistics for Spatial Data, Revised Edition","author":"N Cressie","year":"1993","unstructured":"Cressie, N.: Statistics for Spatial Data, Revised Edition, vol. 928. Wiley, New York (1993)"},{"issue":"2","key":"9477_CR11","doi-asserted-by":"crossref","first-page":"910","DOI":"10.1137\/08071394X","volume":"7","author":"D Silva Da","year":"2008","unstructured":"Da Silva, D., Boudon, F., Godin, C., Sinoquet, H.: Multiscale framework for modeling and analyzing light interception by trees. Multiscale Model. Simul. 7(2), 910\u2013933 (2008)","journal-title":"Multiscale Model. Simul."},{"key":"9477_CR12","doi-asserted-by":"crossref","unstructured":"Da Silva, D., Han, L., Faivre, R., Costes, E.: Influence of the variation of geometrical and topological traits on light interception efficiency of apple trees: sensitivity analysis and metamodelling for ideotype definition. Annals of Botany (2014).","DOI":"10.1093\/aob\/mcu034"},{"key":"9477_CR13","unstructured":"Dubourg, V.: Adaptive surrogate models for reliability analysis and reliability-based design optimization. Ph.D. thesis, Universit\u00e9 Blaise Pascal, Clermont-Ferrand, France (2011)."},{"key":"9477_CR14","volume-title":"Design and Modeling for Computer Experiments","author":"KT Fang","year":"2010","unstructured":"Fang, K.T., Li, R., Sudjianto, A.: Design and Modeling for Computer Experiments. CRC Press, New York (2010)"},{"key":"9477_CR15","doi-asserted-by":"crossref","unstructured":"Forrester, A., Jones, D.: Global optimization of deceptive functions with sparse sampling. In: 12th AIAA\/ISSMO multidisciplinary analysis and optimization conference, Victoria, British Columbia, Canada, pp. 10\u201312 (2008).","DOI":"10.2514\/6.2008-5996"},{"key":"9477_CR16","first-page":"229","volume":"9","author":"L Gramacy","year":"2011","unstructured":"Gramacy, L., Lee, H.: Optimization under unknown constraints. Bayesian. Statistics 9, 229 (2011)","journal-title":"Statistics"},{"key":"9477_CR17","unstructured":"Gramacy, R.B.: laGP: Local Approximate Gaussian Process Regression . URL http:\/\/CRAN.R-project.org\/package=laGP . (2013) R package version 1.0"},{"issue":"483","key":"9477_CR18","doi-asserted-by":"crossref","first-page":"1119","DOI":"10.1198\/016214508000000689","volume":"103","author":"RB Gramacy","year":"2008","unstructured":"Gramacy, R.B., Lee, H.K.: Bayesian treed Gaussian process models with an application to computer modeling. J. Am. Stat. Assoc. 103(483), 1119\u20131130 (2008)","journal-title":"J. Am. Stat. Assoc."},{"key":"9477_CR19","unstructured":"Hansen, M.P., Jaszkiewicz, A.: Evaluating the quality of approximations to the non-dominated set. IMM, Department of Mathematical Modelling, Technical University of Denmark (1998)"},{"issue":"6","key":"9477_CR20","first-page":"1809","volume":"13","author":"P Hennig","year":"2012","unstructured":"Hennig, P., Schuler, C.: Entropy search for information-efficient global optimization. J. Mach. Learn. Res. 13(6), 1809\u20131837 (2012)","journal-title":"J. Mach. Learn. Res."},{"issue":"4","key":"9477_CR21","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1023\/A:1012771025575","volume":"21","author":"DR Jones","year":"2001","unstructured":"Jones, D.R.: A taxonomy of global optimization methods based on response surfaces. J. Global Optim. 21(4), 345\u2013383 (2001)","journal-title":"J. Global Optim."},{"issue":"4","key":"9477_CR22","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1023\/A:1008306431147","volume":"13","author":"DR Jones","year":"1998","unstructured":"Jones, D.R., Schonlau, M., Welch, W.J.: Efficient global optimization of expensive black-box functions. J. Global Optim. 13(4), 455\u2013492 (1998)","journal-title":"J. Global Optim."},{"key":"9477_CR23","doi-asserted-by":"crossref","unstructured":"Keane, A.J.: Statistical improvement criteria for use in multiobjective design optimization. AIAA J. 44(4), 879\u2013891 (2006)","DOI":"10.2514\/1.16875"},{"key":"9477_CR24","unstructured":"Kenkel, B.: pbivnorm: Vectorized Bivariate Normal CDF . URL http:\/\/CRAN.R-project.org\/package=pbivnorm . (2012) R package version 0.5-1"},{"key":"9477_CR25","doi-asserted-by":"crossref","unstructured":"Kennedy, M.C., O\u2019Hagan, A.: Bayesian calibration of computer models. J. R. Stat. Soc. Series B Stat. Methodol. 63(3), 425\u2013464 (2001)","DOI":"10.1111\/1467-9868.00294"},{"issue":"1","key":"9477_CR26","doi-asserted-by":"crossref","first-page":"50","DOI":"10.1109\/TEVC.2005.851274","volume":"10","author":"J Knowles","year":"2006","unstructured":"Knowles, J.: Parego: a hybrid algorithm with on-line landscape approximation for expensive multiobjective optimization problems. IEEE Trans. Evol. Comput. 10(1), 50\u201366 (2006)","journal-title":"IEEE Trans. Evol. Comput."},{"key":"9477_CR27","unstructured":"Mersmann, O.: emoa: Evolutionary Multiobjective Optimization Algorithms. URL http:\/\/CRAN.R-project.org\/package=emoa . (2012) R package version 0.5-0"},{"issue":"1","key":"9477_CR28","doi-asserted-by":"crossref","first-page":"2","DOI":"10.1080\/00401706.2012.707580","volume":"55","author":"V Picheny","year":"2013","unstructured":"Picheny, V., Ginsbourger, D., Richet, Y., Caplin, G.: Quantile-based optimization of noisy computer experiments with tunable precision. Technometrics 55(1), 2\u201313 (2013)","journal-title":"Technometrics"},{"key":"9477_CR29","doi-asserted-by":"crossref","first-page":"784","DOI":"10.1007\/978-3-540-87700-4_78","volume-title":"Parallel Problem Solving from Nature","author":"W Ponweiser","year":"2008","unstructured":"Ponweiser, W., Wagner, T., Biermann, D., Vincze, M.: Multiobjective optimization on a limited budget of evaluations using model-assisted s-metric selection. Parallel Problem Solving from Nature, pp. 784\u2013794. Springer, Heidelberg (2008)"},{"key":"9477_CR30","volume-title":"Gaussian Processes for Machine Learning","author":"C Rasmussen","year":"2006","unstructured":"Rasmussen, C., Williams, C.: Gaussian Processes for Machine Learning. MIT Press, Berlin (2006)"},{"issue":"1","key":"9477_CR31","doi-asserted-by":"crossref","first-page":"1","DOI":"10.18637\/jss.v051.i01","volume":"51","author":"O Roustant","year":"2012","unstructured":"Roustant, O., Ginsbourger, D., Deville, Y.: Dicekriging, diceoptim: two r packages for the analysis of computer experiments by kriging-based metamodeling and optimization. J. Stat. Softw. 51(1), 1\u201355 (2012)","journal-title":"J. Stat. Softw."},{"key":"9477_CR32","volume-title":"Simulation and the Monte Carlo Method","author":"RY Rubinstein","year":"2011","unstructured":"Rubinstein, R.Y., Kroese, D.P.: Simulation and the Monte Carlo Method, vol. 707. Wiley, New York (2011)"},{"issue":"3","key":"9477_CR33","doi-asserted-by":"crossref","first-page":"743","DOI":"10.1111\/1467-9868.00413","volume":"65","author":"AM Schmidt","year":"2003","unstructured":"Schmidt, A.M., O\u2019Hagan, A.: Bayesian inference for non-stationary spatial covariance structure via spatial deformations. J. R. Stat. Soc. Series B Stat. Methodol. 65(3), 743\u2013758 (2003)","journal-title":"J. R. Stat. Soc. Series B Stat. Methodol."},{"issue":"3","key":"9477_CR34","doi-asserted-by":"crossref","first-page":"996","DOI":"10.1137\/100801275","volume":"21","author":"W Scott","year":"2011","unstructured":"Scott, W., Frazier, P., Powell, W.: The correlated knowledge gradient for simulation optimization of continuous parameters using gaussian process regression. SIAM J. Optim. 21(3), 996\u20131026 (2011)","journal-title":"SIAM J. Optim."},{"issue":"2","key":"9477_CR35","doi-asserted-by":"crossref","first-page":"302","DOI":"10.1111\/j.1469-8137.2007.02374.x","volume":"178","author":"V Segura","year":"2008","unstructured":"Segura, V., Cilas, C., Costes, E.: Dissecting apple tree architecture into genetic, ontogenetic and environmental effects: mixed linear modelling of repeated spatial and temporal measures. New Phytol. 178(2), 302\u2013314 (2008)","journal-title":"New Phytol."},{"issue":"1","key":"9477_CR36","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1093\/pan\/7.1.187","volume":"7","author":"J Sekhon","year":"1998","unstructured":"Sekhon, J., Mebane, W.: Genetic optimization using derivatives. Polit. Anal. 7(1), 187 (1998)","journal-title":"Polit. Anal."},{"key":"9477_CR37","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-1494-6","volume-title":"Interpolation of Spatial Data: Some Theory for Kriging","author":"M Stein","year":"1999","unstructured":"Stein, M.: Interpolation of Spatial Data: Some Theory for Kriging. Springer Verlag, New York (1999)"},{"key":"9477_CR38","unstructured":"Svenson, J.D.: Computer experiments: multiobjective optimization and sensitivity analysis. Ph.D. thesis, Ohio State University (2011)."},{"key":"9477_CR39","unstructured":"Svenson, J.D., Santner, T.J.: Multiobjective optimization of expensive black-box functions via expected maximin improvement. Tech. rep., Ohio State University (2010)"},{"issue":"4","key":"9477_CR40","doi-asserted-by":"crossref","first-page":"509","DOI":"10.1007\/s10898-008-9354-2","volume":"44","author":"J Villemonteix","year":"2009","unstructured":"Villemonteix, J., Vazquez, E., Walter, E.: An informational approach to the global optimization of expensive-to-evaluate functions. J. Global Optim. 44(4), 509\u2013534 (2009)","journal-title":"J. Global Optim."},{"key":"9477_CR41","first-page":"718","volume-title":"Parallel Problem Solving from Nature","author":"T Wagner","year":"2010","unstructured":"Wagner, T., Emmerich, M., Deutz, A., Ponweiser, W.: On expected-improvement criteria for model-based multi-objective optimization. Parallel Problem Solving from Nature, pp. 718\u2013727. Springer, Berlin (2010)"},{"key":"9477_CR42","doi-asserted-by":"crossref","first-page":"370","DOI":"10.1115\/1.2429697","volume":"129","author":"GG Wang","year":"2007","unstructured":"Wang, G.G., Shan, S.: Review of metamodeling techniques in support of engineering design optimization. J. Mech. Des. 129, 370 (2007)","journal-title":"J. Mech. Des."},{"issue":"1","key":"9477_CR43","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1109\/TEVC.2005.851275","volume":"10","author":"L While","year":"2006","unstructured":"While, L., Hingston, P., Barone, L., Huband, S.: A faster algorithm for calculating hypervolume. IEEE Trans. Evol. Comput. 10(1), 29\u201338 (2006)","journal-title":"IEEE Trans. Evol. Comput."},{"issue":"2","key":"9477_CR44","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1109\/TEVC.2003.810758","volume":"7","author":"E Zitzler","year":"2003","unstructured":"Zitzler, E., Thiele, L., Laumanns, M., Fonseca, C.M., Da Fonseca, V.G.: Performance assessment of multiobjective optimizers: an analysis and review. IEEE Trans. Evol. Comput. 7(2), 117\u2013132 (2003)","journal-title":"IEEE Trans. Evol. Comput."}],"container-title":["Statistics and Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11222-014-9477-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11222-014-9477-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11222-014-9477-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,5,26]],"date-time":"2024-05-26T20:23:11Z","timestamp":1716754991000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11222-014-9477-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,5,21]]},"references-count":44,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2015,11]]}},"alternative-id":["9477"],"URL":"https:\/\/doi.org\/10.1007\/s11222-014-9477-x","relation":{},"ISSN":["0960-3174","1573-1375"],"issn-type":[{"value":"0960-3174","type":"print"},{"value":"1573-1375","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,5,21]]}}}