{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,10]],"date-time":"2026-06-10T07:09:42Z","timestamp":1781075382248,"version":"3.54.1"},"reference-count":75,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2017,10,11]],"date-time":"2017-10-11T00:00:00Z","timestamp":1507680000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100003151","name":"FRQNT","doi-asserted-by":"crossref","award":["2015-PR-182098"],"award-info":[{"award-number":["2015-PR-182098"]}],"id":[{"id":"10.13039\/501100003151","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Glob Optim"],"published-print":{"date-parts":[[2018,3]]},"DOI":"10.1007\/s10898-017-0574-1","type":"journal-article","created":{"date-parts":[[2017,10,11]],"date-time":"2017-10-11T08:28:42Z","timestamp":1507710522000},"page":"645-675","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":30,"title":["Order-based error for managing ensembles of surrogates in mesh adaptive direct search"],"prefix":"10.1007","volume":"70","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3043-5393","authenticated-orcid":false,"given":"Charles","family":"Audet","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Michael","family":"Kokkolaras","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3148-5090","authenticated-orcid":false,"given":"S\u00e9bastien","family":"Le Digabel","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Bastien","family":"Talgorn","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2017,10,11]]},"reference":[{"issue":"2","key":"574_CR1","doi-asserted-by":"crossref","first-page":"948","DOI":"10.1137\/080716980","volume":"20","author":"MA Abramson","year":"2009","unstructured":"Abramson, M.A., Audet, C., Dennis Jr., J.E., Le Digabel, S.: OrthoMADS: a deterministic MADS instance with orthogonal directions. SIAM J. Optim. 20(2), 948\u2013966 (2009)","journal-title":"SIAM J. Optim."},{"issue":"3","key":"574_CR2","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1007\/s00158-008-0230-y","volume":"37","author":"E Acar","year":"2009","unstructured":"Acar, E., Rais-Rohani, M.: Ensemble of metamodels with optimized weight factors. Struct. Multidiscipl. Optim. 37(3), 279\u2013294 (2009)","journal-title":"Struct. Multidiscipl. Optim."},{"key":"574_CR3","unstructured":"Agte, J.S., Sobieszczanski-Sobieski, J., Sandusky, R.R.J.: Supersonic business jet design through bilevel integrated system synthesis. In: Proceedings of the World Aviation Conference, Volume SAE Paper No. 1999-01-5622, San Francisco, CA, 1999. MCB University Press, Bradford"},{"issue":"1","key":"574_CR4","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1007\/BF01197433","volume":"15","author":"NM Alexandrov","year":"1998","unstructured":"Alexandrov, N.M., Dennis Jr., J.E., Lewis, R.M., Torczon, V.: A trust-region framework for managing the use of approximation models in optimization. Struct. Multidiscipl. Optim. 15(1), 16\u201323 (1998)","journal-title":"Struct. Multidiscipl. Optim."},{"issue":"1","key":"574_CR5","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1080\/00401706.1974.10489157","volume":"16","author":"DM Allen","year":"1974","unstructured":"Allen, D.M.: The relationship between variable selection and data agumentation and a method for prediction. Technometrics 16(1), 125\u2013127 (1974)","journal-title":"Technometrics"},{"key":"574_CR6","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1007\/978-1-4939-1124-0_2","volume-title":"Mathematics Without Boundaries: Surveys in Interdisciplinary Research, chapter 2","author":"C Audet","year":"2014","unstructured":"Audet, C.: A survey on direct search methods for blackbox optimization and their applications. In: Pardalos, P.M., Rassias, T.M. (eds.) Mathematics Without Boundaries: Surveys in Interdisciplinary Research, chapter 2, pp. 31\u201356. Springer, Berlin (2014)"},{"issue":"2","key":"574_CR7","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1007\/s10898-007-9234-1","volume":"41","author":"C Audet","year":"2008","unstructured":"Audet, C., B\u00e9chard, V., Le Digabel, S.: Nonsmooth optimization through mesh adaptive direct search and variable neighborhood search. J. Glob. Optim. 41(2), 299\u2013318 (2008)","journal-title":"J. Glob. Optim."},{"key":"574_CR8","doi-asserted-by":"crossref","unstructured":"Audet, C., Booker, A.J., Dennis Jr., J.E., Frank, P.D., Moore, D.W.: A surrogate-model-based method for constrained optimization. Presented at the 8th AIAA\/ISSMO symposium on multidisciplinary analysis and optimization, 2000","DOI":"10.2514\/6.2000-4891"},{"issue":"1","key":"574_CR9","doi-asserted-by":"crossref","first-page":"188","DOI":"10.1137\/040603371","volume":"17","author":"C Audet","year":"2006","unstructured":"Audet, C., Dennis Jr., J.E.: Mesh adaptive direct search algorithms for constrained optimization. SIAM J. Optim. 17(1), 188\u2013217 (2006)","journal-title":"SIAM J. Optim."},{"issue":"1","key":"574_CR10","doi-asserted-by":"crossref","first-page":"445","DOI":"10.1137\/070692662","volume":"20","author":"C Audet","year":"2009","unstructured":"Audet, C., Dennis Jr., J.E.: A progressive barrier for derivative-free nonlinear programming. SIAM J. Optim. 20(1), 445\u2013472 (2009)","journal-title":"SIAM J. Optim."},{"key":"574_CR11","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-48852-8","volume-title":"Supercritical Wing Section","author":"F Bauer","year":"1977","unstructured":"Bauer, F., Garabedian, P., Korn, D.: Supercritical Wing Section, vol. III. Springer, Berlin (1977)"},{"issue":"1","key":"574_CR12","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF01197708","volume":"17","author":"AJ Booker","year":"1999","unstructured":"Booker, A.J., Dennis Jr., J.E., Frank, P.D., Serafini, D.B., Torczon, V., Trosset, M.W.: A rigorous framework for optimization of expensive functions by surrogates. Struct. Multidiscipl. Optim. 17(1), 1\u201313 (1999)","journal-title":"Struct. Multidiscipl. Optim."},{"issue":"5","key":"574_CR13","doi-asserted-by":"crossref","first-page":"895","DOI":"10.1007\/s11590-016-1028-2","volume":"11","author":"F Boukouvalaa","year":"2017","unstructured":"Boukouvalaa, F., Floudas, C.A.: ARGONAUT: AlgoRithms for Global Optimization of coNstrAined grey-box compUTational problems. Optim. Lett. 11(5), 895\u2013913 (2017)","journal-title":"Optim. Lett."},{"issue":"1","key":"574_CR14","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/s10898-015-0376-2","volume":"67","author":"F Boukouvalaa","year":"2017","unstructured":"Boukouvalaa, F., Hasan, M.M.F., Floudas, C.A.: Global optimization of general constrained grey-box models: new method and its application to constrained PDEs for pressure swing adsorption. J. Glob. Optim. 67(1), 3\u201342 (2017)","journal-title":"J. Glob. Optim."},{"key":"574_CR15","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511543241","volume-title":"Radial Basis Functions: Theory and Implementations. Cambridge Monographs on Applied and Computational Mathematics","author":"MD Buhmann","year":"2003","unstructured":"Buhmann, M.D.: Radial Basis Functions: Theory and Implementations. Cambridge Monographs on Applied and Computational Mathematics. Cambridge University Press, Cambridge (2003)"},{"issue":"3","key":"574_CR16","doi-asserted-by":"crossref","first-page":"340","DOI":"10.1002\/hyp.6292","volume":"22","author":"Y-C Chen","year":"2008","unstructured":"Chen, Y.-C., Wei, C., Yeh, H.-C.: Rainfall network design using kriging and entropy. Hydrol. Process. 22(3), 340\u2013346 (2008)","journal-title":"Hydrol. Process."},{"key":"574_CR17","doi-asserted-by":"crossref","unstructured":"Chowdhury, S., Mehmani, A., Zhang, J., Messac, A.: Quantifying regional error in surrogates by modeling its relationship with sample density. In: Structures, Structural Dynamics, and Materials and Co-located Conferences. American Institute of Aeronautics and Astronautics (2013)","DOI":"10.2514\/6.2013-1751"},{"key":"574_CR18","unstructured":"Colson, B.: Trust-region algorithms for derivative-free optimization and nonlinear bilevel programming. Ph.D. thesis, D\u00e9partement de Math\u00e9matique, FUNDP, Namur, Belgium (2003)"},{"issue":"1","key":"574_CR19","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1080\/10556788.2011.623162","volume":"28","author":"AR Conn","year":"2013","unstructured":"Conn, A.R., Le Digabel, S.: Use of quadratic models with mesh-adaptive direct search for constrained black box optimization. Optim. Methods Softw. 28(1), 139\u2013158 (2013)","journal-title":"Optim. Methods Softw."},{"key":"574_CR20","doi-asserted-by":"crossref","DOI":"10.1137\/1.9780898718768","volume-title":"Introduction to Derivative-Free Optimization. MOS-SIAM Series on Optimization","author":"AR Conn","year":"2009","unstructured":"Conn, A.R., Scheinberg, K., Vicente, L.N.: Introduction to Derivative-Free Optimization. MOS-SIAM Series on Optimization. SIAM, Philadelphia (2009)"},{"key":"574_CR21","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1007\/978-1-4899-0289-4_3","volume-title":"Nonlinear Optimization and Applications","author":"AR Conn","year":"1996","unstructured":"Conn, A.R., Toint, P.L.: An algorithm using quadratic interpolation for unconstrained derivative free optimization. In: Di Pillo, G., Gianessi, F. (eds.) Nonlinear Optimization and Applications, pp. 27\u201347. Plenum Publishing, New York (1996)"},{"issue":"2","key":"574_CR22","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1007\/s10589-009-9283-0","volume":"46","author":"AL Cust\u00f3dio","year":"2010","unstructured":"Cust\u00f3dio, A.L., Rocha, H., Vicente, L.N.: Incorporating minimum Frobenius norm models in direct search. Comput. Optim. Appl. 46(2), 265\u2013278 (2010)","journal-title":"Comput. Optim. Appl."},{"issue":"6","key":"574_CR23","doi-asserted-by":"crossref","first-page":"806","DOI":"10.1111\/j.1745-6584.2009.00591.x","volume":"47","author":"A Dhar","year":"2009","unstructured":"Dhar, A., Datta, B.: Global optimal design of ground water monitoring network using embedded kriging. Ground Water 47(6), 806\u2013815 (2009)","journal-title":"Ground Water"},{"issue":"11","key":"574_CR24","doi-asserted-by":"crossref","first-page":"698","DOI":"10.1287\/mnsc.17.11.698","volume":"17","author":"BC Eaves","year":"1971","unstructured":"Eaves, B.C.: On quadratic programming. Manag. Sci. 17(11), 698\u2013711 (1971)","journal-title":"Manag. Sci."},{"issue":"382","key":"574_CR25","doi-asserted-by":"crossref","first-page":"316","DOI":"10.1080\/01621459.1983.10477973","volume":"78","author":"B Efron","year":"1983","unstructured":"Efron, B.: Estimating the error rate of a prediction rule: improvement on cross-validation. J. Am. Stat. Assoc. 78(382), 316\u2013331 (1983)","journal-title":"J. Am. Stat. Assoc."},{"issue":"3","key":"574_CR26","doi-asserted-by":"crossref","first-page":"635","DOI":"10.1137\/S1052623499357258","volume":"13","author":"R Fletcher","year":"2002","unstructured":"Fletcher, R., Gould, N.I.M., Leyffer, S., Toint, P.L., W\u00e4chter, A.: On the global convergence of trust-region SQP-filter algorithms for general nonlinear programming. SIAM J. Optim. 13(3), 635\u2013659 (2002)","journal-title":"SIAM J. Optim."},{"issue":"5","key":"574_CR27","doi-asserted-by":"crossref","first-page":"743","DOI":"10.1016\/j.advwatres.2008.01.010","volume":"31","author":"KR Fowler","year":"2008","unstructured":"Fowler, K.R., Reese, J.P., Kees, C.E., Dennis Jr., J.E., Kelley, C.T., Miller, C.T., Audet, C., Booker, A.J., Couture, G., Darwin, R.W., Farthing, M.W., Finkel, D.E., Gablonsky, J.M., Gray, G., Kolda, T.G.: Comparison of derivative-free optimization methods for groundwater supply and hydraulic capture community problems. Adv. Water Resour. 31(5), 743\u2013757 (2008)","journal-title":"Adv. Water Resour."},{"issue":"4","key":"574_CR28","doi-asserted-by":"crossref","first-page":"439","DOI":"10.1016\/0315-0860(74)90034-2","volume":"1","author":"JD Gergonne","year":"1974","unstructured":"Gergonne, J.D.: The application of the method of least squares to the interpolation of sequences. Hist. Math. 1(4), 439\u2013447 (1974)","journal-title":"Hist. Math."},{"issue":"3","key":"574_CR29","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1007\/s00158-006-0051-9","volume":"33","author":"T Goel","year":"2007","unstructured":"Goel, T., Haftka, R.T., Shyy, W., Queipo, N.V.: Ensemble of surrogates. Struct. Multidiscipl. Optim. 33(3), 199\u2013216 (2007)","journal-title":"Struct. Multidiscipl. Optim."},{"issue":"27\u201329","key":"574_CR30","doi-asserted-by":"crossref","first-page":"2137","DOI":"10.1016\/j.cma.2009.02.016","volume":"198","author":"T Goel","year":"2009","unstructured":"Goel, T., Stander, N.: Comparing three error criteria for selecting radial basis function network topology. Comput. Methods Appl. Mech. Eng. 198(27\u201329), 2137\u20132150 (2009)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"574_CR31","volume-title":"Genetic Algorithms in Search. Optimization and Machine Learning","author":"DE Goldberg","year":"1989","unstructured":"Goldberg, D.E.: Genetic Algorithms in Search. Optimization and Machine Learning. Addison-Wesley Longman, Boston (1989)"},{"issue":"1","key":"574_CR32","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1080\/00401706.2015.1014065","volume":"58","author":"RB Gramacy","year":"2016","unstructured":"Gramacy, R.B., Gray, G.A., Le Digabel, S., Lee, H.K.H., Ranjan, P., Wells, G., Wild, S.M.: Modeling an augmented lagrangian for blackbox constrained optimization. Technometrics 58(1), 1\u201311 (2016)","journal-title":"Technometrics"},{"issue":"3","key":"574_CR33","first-page":"419","volume":"11","author":"RB Gramacy","year":"2015","unstructured":"Gramacy, R.B., Le Digabel, S.: The mesh adaptive direct search algorithm with treed Gaussian process surrogates. Pac. J. Optim. 11(3), 419\u2013447 (2015)","journal-title":"Pac. J. Optim."},{"key":"574_CR34","volume-title":"The Elements of Statistical Learning. Springer Series in Statistics","author":"T Hastie","year":"2001","unstructured":"Hastie, T., Tibshirani, R., Friedman, J.: The Elements of Statistical Learning. Springer Series in Statistics. Springer, New York (2001)"},{"key":"574_CR35","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-48320-2","volume-title":"Test Examples for Nonlinear Programming Codes. Lecture Notes in Economics and Mathematical Systems","author":"W Hock","year":"1981","unstructured":"Hock, W., Schittkowski, K.: Test Examples for Nonlinear Programming Codes. Lecture Notes in Economics and Mathematical Systems, vol. 187. Springer, Berlin (1981)"},{"issue":"4","key":"574_CR36","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. Glob. Optim. 13(4), 455\u2013492 (1998)","journal-title":"J. Glob. Optim."},{"key":"574_CR37","unstructured":"Kannan, A., Wild, S.M.: Benefits of deeper analysis in simulation-based groundwater optimization problems. In: Proceedings of the XIX International Conference on Computational Methods in Water Resources (CMWR 2012), June 2012"},{"issue":"4","key":"574_CR38","doi-asserted-by":"crossref","first-page":"535","DOI":"10.1007\/s11081-010-9118-y","volume":"12","author":"S Kitayama","year":"2011","unstructured":"Kitayama, S., Arakawa, M., Yamazaki, K.: Sequential approximate optimization using radial basis function network for engineering optimization. Optim. Eng. 12(4), 535\u2013557 (2011)","journal-title":"Optim. Eng."},{"key":"574_CR39","unstructured":"Kodiyalam, S.: Multidisciplinary aerospace systems optimization. Technical Report NASA\/CR-2001-211053, Lockheed Martin Space Systems Company, Computational AeroSciences Project, Sunnyvale, CA (2001)"},{"key":"574_CR40","unstructured":"Kroo, I.: Aircraft design: synthesis and analysis; Cruise performance and range. http:\/\/adg.stanford.edu\/aa241\/performance\/cruise.html (2005)"},{"issue":"4","key":"574_CR41","doi-asserted-by":"crossref","first-page":"44:1","DOI":"10.1145\/1916461.1916468","volume":"37","author":"S Digabel Le","year":"2011","unstructured":"Le Digabel, S.: Algorithm 909: NOMAD: nonlinear optimization with the MADS algorithm. ACM Trans. Math. Softw. 37(4), 44:1\u201344:15 (2011)","journal-title":"ACM Trans. Math. Softw."},{"issue":"1","key":"574_CR42","doi-asserted-by":"crossref","first-page":"190","DOI":"10.1007\/s11750-011-0193-9","volume":"20","author":"HA Thi Le","year":"2012","unstructured":"Le Thi, H.A., Vaz, A.I.F., Vicente, L.N.: Optimizing radial basis functions by D.C. programming and its use in direct search for global derivative-free optimization. TOP 20(1), 190\u2013214 (2012)","journal-title":"TOP"},{"key":"574_CR43","doi-asserted-by":"crossref","unstructured":"Lim, D., Ong, Y.-S., Jin, Y., Sendhoff, B.: A study on metamodeling techniques, ensembles, and multi-surrogates in evolutionary computation. In: Proceedings of the 9th Annual Conference on Genetic and Evolutionary Computation, GECCO \u201907, pp. 1288\u20131295. ACM, New York (2007)","DOI":"10.1145\/1276958.1277203"},{"key":"574_CR44","unstructured":"Luk\u0161an, L., Vl\u010dek, J.: Test problems for nonsmooth unconstrained and linearly constrained optimization. Technical Report V-798, ICS AS CR, 2000"},{"key":"574_CR45","doi-asserted-by":"crossref","unstructured":"Mack, Y., Goel, T., Shyy, W., Haftka, R.T., Queipo, N.V.: Multiple surrogates for the shape optimization of bluff body-facilitated mixing. In: 43rd AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, 2005. AIAA. Paper AIAA-2005-0333","DOI":"10.2514\/6.2005-333"},{"key":"574_CR46","volume-title":"Multivariate Analysis. Probability and mathematical statistics","author":"KV Mardia","year":"1979","unstructured":"Mardia, K.V., Kent, J.T., Bibby, J.M.: Multivariate Analysis. Probability and mathematical statistics. Academic Press, New York (1979)"},{"issue":"11","key":"574_CR47","doi-asserted-by":"crossref","first-page":"1894","DOI":"10.1016\/j.cageo.2011.03.017","volume":"37","author":"LS Matott","year":"2011","unstructured":"Matott, L.S., Leung, K., Sim, J.: Application of MATLAB and Python optimizers to two case studies involving groundwater flow and contaminant transport modeling. Comput. Geosci. 37(11), 1894\u20131899 (2011)","journal-title":"Comput. Geosci."},{"issue":"5","key":"574_CR48","doi-asserted-by":"crossref","first-page":"760","DOI":"10.1016\/j.advwatres.2005.07.009","volume":"29","author":"LS Matott","year":"2006","unstructured":"Matott, L.S., Rabideau, A.J., Craig, J.R.: Pump-and-treat optimization using analytic element method flow models. Adv. Water Resour. 29(5), 760\u2013775 (2006)","journal-title":"Adv. Water Resour."},{"issue":"2","key":"574_CR49","first-page":"239","volume":"21","author":"MD McKay","year":"1979","unstructured":"McKay, M.D., Beckman, R.J., Conover, W.J.: A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics 21(2), 239\u2013245 (1979)","journal-title":"Technometrics"},{"issue":"2","key":"574_CR50","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1007\/s00158-015-1234-z","volume":"52","author":"A Mehmani","year":"2015","unstructured":"Mehmani, A., Chowdhury, S., Messac, A.: Predictive quantification of surrogate model fidelity based on modal variations with sample density. Struct. Multidiscipl. Optim. 52(2), 353\u2013373 (2015)","journal-title":"Struct. Multidiscipl. Optim."},{"issue":"11","key":"574_CR51","doi-asserted-by":"crossref","first-page":"1097","DOI":"10.1016\/S0305-0548(97)00031-2","volume":"24","author":"N Mladenovi\u0107","year":"1997","unstructured":"Mladenovi\u0107, N., Hansen, P.: Variable neighborhood search. Comput. Oper. Res. 24(11), 1097\u20131100 (1997)","journal-title":"Comput. Oper. Res."},{"issue":"1","key":"574_CR52","doi-asserted-by":"crossref","first-page":"172","DOI":"10.1137\/080724083","volume":"20","author":"JJ Mor\u00e9","year":"2009","unstructured":"Mor\u00e9, J.J., Wild, S.M.: Benchmarking derivative-free optimization algorithms. SIAM J. Optim. 20(1), 172\u2013191 (2009)","journal-title":"SIAM J. Optim."},{"issue":"1","key":"574_CR53","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1007\/s10898-010-9620-y","volume":"51","author":"J M\u00fcller","year":"2011","unstructured":"M\u00fcller, J., Pich\u00e9, R.: Mixture surrogate models based on Dempster-Shafer theory for global optimization problems. J. Glob. Optim. 51(1), 79\u2013104 (2011)","journal-title":"J. Glob. Optim."},{"issue":"2","key":"574_CR54","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1007\/s10898-014-0184-0","volume":"60","author":"J M\u00fcller","year":"2014","unstructured":"M\u00fcller, J., Shoemaker, C.A.: Influence of ensemble surrogate models and sampling strategy on the solution quality of algorithms for computationally expensive black-box global optimization problems. J. Glob. Optim. 60(2), 123\u2013144 (2014)","journal-title":"J. Glob. Optim."},{"key":"574_CR55","unstructured":"Orr, M.J.L.: Introduction to radial basis function networks. Technical report, Center for Cognitive Science, University of Edinburgh (1996)"},{"issue":"11","key":"574_CR56","doi-asserted-by":"crossref","first-page":"1593","DOI":"10.1080\/0305215X.2014.881997","volume":"46","author":"N Peremezhney","year":"2014","unstructured":"Peremezhney, N., Hines, E., Lapkin, A., Connaughton, C.: Combining gaussian processes, mutual information and a genetic algorithm for multi-target optimization of expensive-to-evaluate functions. Eng. Optim. 46(11), 1593\u20131607 (2014)","journal-title":"Eng. Optim."},{"issue":"1","key":"574_CR57","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.paerosci.2005.02.001","volume":"41","author":"NV Queipo","year":"2005","unstructured":"Queipo, N.V., Haftka, R.T., Shyy, W., Goel, T., Vaidyanathan, R., Tucher, P.K.: Surrogate-based analysis and optimization. Prog. Aerosp. Sci. 41(1), 1\u201328 (2005)","journal-title":"Prog. Aerosp. Sci."},{"key":"574_CR58","volume-title":"Gaussian Processes for Machine Learning","author":"CE Rasmussen","year":"2006","unstructured":"Rasmussen, C.E., Williams, C.K.I.: Gaussian Processes for Machine Learning. The MIT Press, Cambridge (2006)"},{"issue":"5","key":"574_CR59","doi-asserted-by":"crossref","first-page":"837","DOI":"10.1016\/j.cor.2010.09.013","volume":"38","author":"RG Regis","year":"2011","unstructured":"Regis, R.G.: Stochastic radial basis function algorithms for large-scale optimization involving expensive black-box objective and constraint functions. Comput. Oper. Res. 38(5), 837\u2013853 (2011)","journal-title":"Comput. Oper. Res."},{"issue":"2","key":"574_CR60","doi-asserted-by":"crossref","first-page":"218","DOI":"10.1080\/0305215X.2013.765000","volume":"46","author":"RG Regis","year":"2014","unstructured":"Regis, R.G.: Constrained optimization by radial basis function interpolation for high-dimensional expensive black-box problems with infeasible initial points. Eng. Optim. 46(2), 218\u2013243 (2014)","journal-title":"Eng. Optim."},{"issue":"7","key":"574_CR61","doi-asserted-by":"crossref","first-page":"1202","DOI":"10.1080\/0305215X.2015.1100470","volume":"48","author":"R Shi","year":"2016","unstructured":"Shi, R., Liu, L., Long, T., Liu, J.: An efficient ensemble of radial basis functions method based on quadratic programming. Eng. Optim. 48(7), 1202\u20131225 (2016)","journal-title":"Eng. Optim."},{"issue":"4","key":"574_CR62","doi-asserted-by":"crossref","first-page":"431","DOI":"10.1016\/0315-0860(74)90033-0","volume":"1","author":"SM Stigler","year":"1974","unstructured":"Stigler, S.M.: Gergonne\u2019s 1815 paper on the design and analysis of polynomial regression experiments. Hist. Math. 1(4), 431\u2013439 (1974)","journal-title":"Hist. Math."},{"issue":"1","key":"574_CR63","doi-asserted-by":"crossref","first-page":"44","DOI":"10.1111\/j.2517-6161.1977.tb01603.x","volume":"39","author":"M Stone","year":"1977","unstructured":"Stone, M.: An asymptotic equivalence of choice of model by cross-validation and Akaike\u2019s criterion. J. R. Stat. Soc. Ser. B (Methodol.) 39(1), 44\u201347 (1977)","journal-title":"J. R. Stat. Soc. Ser. B (Methodol.)"},{"issue":"493","key":"574_CR64","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1198\/jasa.2011.ap09769","volume":"106","author":"MA Taddy","year":"2011","unstructured":"Taddy, M.A., Gramacy, R.B., Polson, N.G.: Dynamic trees for learning and design. J. Am. Stat. Assoc. 106(493), 109\u2013123 (2011)","journal-title":"J. Am. Stat. Assoc."},{"issue":"2","key":"574_CR65","doi-asserted-by":"crossref","first-page":"021405-1","DOI":"10.1115\/1.4028756","volume":"137","author":"B Talgorn","year":"2015","unstructured":"Talgorn, B., Le Digabel, S., Kokkolaras, M.: Statistical surrogate formulations for simulation-based design optimization. J. Mech. Des. 137(2), 021405-1\u2013021405-18 (2015)","journal-title":"J. Mech. Des."},{"issue":"2","key":"574_CR66","doi-asserted-by":"crossref","first-page":"116","DOI":"10.1080\/00031305.2000.10474522","volume":"54","author":"T Tarpey","year":"2000","unstructured":"Tarpey, T.: A note on the prediction sum of squares statistic for restricted least squares. Am. Stat. 54(2), 116\u2013118 (2000)","journal-title":"Am. Stat."},{"issue":"2","key":"574_CR67","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1007\/s11081-014-9260-z","volume":"16","author":"Y Tenne","year":"2014","unstructured":"Tenne, Y.: An adaptive-topology ensemble algorithm for engineering optimization problems. Optim. Eng. 16(2), 303\u2013334 (2014)","journal-title":"Optim. Eng."},{"issue":"5","key":"574_CR68","doi-asserted-by":"crossref","first-page":"503","DOI":"10.1007\/s00158-008-0347-z","volume":"39","author":"S Tosserams","year":"2009","unstructured":"Tosserams, S., Etman, L.F.P., Rooda, J.E.: A classification of methods for distributed system optimization based on formulation structure. Struct. Multidiscipl. Optim. 39(5), 503\u2013517 (2009)","journal-title":"Struct. Multidiscipl. Optim."},{"issue":"4","key":"574_CR69","doi-asserted-by":"crossref","first-page":"041401-01","DOI":"10.1115\/1.4035503","volume":"139","author":"R Tournemenne","year":"2017","unstructured":"Tournemenne, R., Petiot, J.-F., Talgorn, B., Kokkolaras, M., Gilbert, J.: Brass instruments design using physics-based sound simulation models and surrogate-assisted derivative-free optimization. J. Mech. Des. 139(4), 041401-01\u201304140-19 (2017)","journal-title":"J. Mech. Des."},{"issue":"8","key":"574_CR70","doi-asserted-by":"crossref","first-page":"775","DOI":"10.1080\/03052150500289305","volume":"37","author":"C Tribes","year":"2005","unstructured":"Tribes, C., Dub\u00e9, J.-F., Tr\u00e9panier, J.-Y.: Decomposition of multidisciplinary optimization problems: formulations and application to a simplified wing design. Eng. Optim. 37(8), 775\u2013796 (2005)","journal-title":"Eng. Optim."},{"issue":"2","key":"574_CR71","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1007\/s10898-007-9133-5","volume":"39","author":"AIF Vaz","year":"2007","unstructured":"Vaz, A.I.F., Vicente, L.N.: A particle swarm pattern search method for bound constrained global optimization. J. Glob. Optim. 39(2), 197\u2013219 (2007)","journal-title":"J. Glob. Optim."},{"key":"574_CR72","unstructured":"Viana, F.A.C., Haftka, R.T.,\u00a0Valder Jr., S.,\u00a0Butkewitsch, S., Leal, M.F.: Ensemble of Surrogates: a Framework based on Minimization of the Mean Integrated Square Error. In: 49th AIAA\/ASME\/ASCE\/AHS\/ASC Structures, Structural Dynamics, and Materials, Schaumburg, IL (2008)"},{"issue":"2","key":"574_CR73","doi-asserted-by":"crossref","first-page":"669","DOI":"10.1007\/s10898-012-9892-5","volume":"56","author":"FAC Viana","year":"2013","unstructured":"Viana, F.A.C., Haftka, R.T., Watson, L.T.: Efficient global optimization algorithm assisted by multiple surrogate techniques. J. Glob. Optim. 56(2), 669\u2013689 (2013)","journal-title":"J. Glob. Optim."},{"key":"574_CR74","doi-asserted-by":"crossref","first-page":"601","DOI":"10.1007\/BF01029320","volume":"16","author":"GS Watson","year":"1984","unstructured":"Watson, G.S.: Smoothing and interpolation by kriging and with splines. Math. Geol. 16, 601\u2013615 (1984)","journal-title":"Math. Geol."},{"issue":"6","key":"574_CR75","doi-asserted-by":"crossref","first-page":"3197","DOI":"10.1137\/070691814","volume":"30","author":"SM Wild","year":"2008","unstructured":"Wild, S.M., Regis, R.G., Shoemaker, C.A.: ORBIT: optimization by radial basis function interpolation in trust-regions. SIAM J. Sci. Comput. 30(6), 3197\u20133219 (2008)","journal-title":"SIAM J. Sci. Comput."}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10898-017-0574-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-017-0574-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-017-0574-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,27]],"date-time":"2024-06-27T17:27:15Z","timestamp":1719509235000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10898-017-0574-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,10,11]]},"references-count":75,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2018,3]]}},"alternative-id":["574"],"URL":"https:\/\/doi.org\/10.1007\/s10898-017-0574-1","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"value":"0925-5001","type":"print"},{"value":"1573-2916","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,10,11]]}}}