{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T21:49:07Z","timestamp":1771710547627,"version":"3.50.1"},"publisher-location":"Cham","reference-count":41,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783030187637","type":"print"},{"value":"9783030187644","type":"electronic"}],"license":[{"start":{"date-parts":[[2019,6,2]],"date-time":"2019-06-02T00:00:00Z","timestamp":1559433600000},"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":[],"published-print":{"date-parts":[[2020]]},"DOI":"10.1007\/978-3-030-18764-4_9","type":"book-chapter","created":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T09:58:54Z","timestamp":1559383134000},"page":"189-224","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Overview and Comparison of Gaussian Process-Based Surrogate Models for Mixed Continuous and Discrete Variables: Application on Aerospace Design Problems"],"prefix":"10.1007","author":[{"given":"Julien","family":"Pelamatti","sequence":"first","affiliation":[]},{"given":"Lo\u00efc","family":"Brevault","sequence":"additional","affiliation":[]},{"given":"Mathieu","family":"Balesdent","sequence":"additional","affiliation":[]},{"given":"El-Ghazali","family":"Talbi","sequence":"additional","affiliation":[]},{"given":"Yannick","family":"Guerin","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,6,2]]},"reference":[{"key":"9_CR1","unstructured":"Agresti A (1996) An Introduction to Categorical Data Analysis. Wiley, New York"},{"key":"9_CR2","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/978-3-319-41508-6_1","volume-title":"Springer Optimization and Its Applications","author":"Mathieu Balesdent","year":"2016","unstructured":"Balesdent, M., Brevault, L., Price, N.B., Defoort, S., Le Riche, R., Kim, N.H., Haftka, R.T., B\u00e9rend, N.: Advanced Space Vehicle Design Taking into Account Multidisciplinary Couplings and Mixed Epistemic\/Aleatory Uncertainties, pp. 1\u201348. Springer, Cham (2016). https:\/\/doi.org\/10.1007\/978-3-319-41508-6_1"},{"key":"9_CR3","doi-asserted-by":"publisher","first-page":"154","DOI":"10.1016\/j.asoc.2017.01.039","volume":"55","author":"Thomas Bartz-Beielstein","year":"2017","unstructured":"Bartz-Beielstein, T., Zaefferer, M.: Model-based methods for continuous and discrete global optimization. Appl. Soft. Comput. 55, 154\u2013167 (2017). https:\/\/doi.org\/10.1016\/j.asoc.2017.01.039","journal-title":"Applied Soft Computing"},{"issue":"2","key":"9_CR4","doi-asserted-by":"publisher","first-page":"193","DOI":"10.2514\/2.4231","volume":"21","author":"JT Betts","year":"1998","unstructured":"Betts, J.T.: Survey of numerical methods for trajectory optimization. J. Guid, Control, Dyn. 21(2), 193\u2013207 (1998). https:\/\/doi.org\/10.2514\/2.4231","journal-title":"J. Guid, Control, Dyn."},{"issue":"170","key":"9_CR5","first-page":"1","volume":"17","author":"B Bischl","year":"2016","unstructured":"Bischl, B., Lang, M., Kotthoff, L., Schiffner, J., Richter, J., Studerus, E., Casalicchio, G., Jones, Z.M.: Mlr: machine learning in R. J Mach Learn Res 17(170), 1\u20135 (2016)","journal-title":"J Mach Learn Res"},{"key":"9_CR6","volume-title":"Numerical Optimization: Theoretical and Practical Aspects","author":"JF Bonnans","year":"2006","unstructured":"Bonnans, J.F., Gilbert, J.C., Lemarechal, C.: Numerical Optimization: Theoretical and Practical Aspects. Springer, Berlin Heidelberg (2006)"},{"key":"9_CR7","doi-asserted-by":"crossref","unstructured":"Castellini, F.: Multidisciplinary Design Optimization for Expendable Launch Vehicles p. 179 (2012)","DOI":"10.2514\/6.2011-1901"},{"key":"9_CR8","unstructured":"Champigny, P., Denis, P.: The ONERA aeroprediction code missile. In: 21st AIAA Advanced Measurement Technology and Ground Testing Conference (2004)"},{"key":"9_CR9","doi-asserted-by":"crossref","first-page":"61","DOI":"10.6339\/JDS.2010.08(1).563","volume":"8","author":"MJ Davis","year":"2010","unstructured":"Davis, M.J.: Contrast coding in multiple regression analysis: strengths, weaknesses, and utility of popular coding structures. J. Data. Sci. 8, 61\u201373 (2010)","journal-title":"J. Data. Sci."},{"issue":"3","key":"9_CR10","doi-asserted-by":"publisher","first-page":"283","DOI":"10.1080\/00401706.2016.1211554","volume":"59","author":"X. Deng","year":"2016","unstructured":"Deng, X., Lin, C.D., Liu, K.W., Rowe, R.K.: Additive gaussian process for computer models with qualitative and quantitative factors. Technometrics 59(3), 283\u2013292 (2017). https:\/\/doi.org\/10.1080\/00401706.2016.1211554","journal-title":"Technometrics"},{"issue":"2","key":"9_CR11","doi-asserted-by":"publisher","first-page":"311","DOI":"10.1007\/s11081-013-9216-8","volume":"15","author":"Rajan Filomeno Coelho","year":"2013","unstructured":"Filomeno Coelho, R.: Metamodels for mixed variables based on moving least squares. Optim. Eng.15(2), 311\u2013329 (2014). https:\/\/doi.org\/10.1007\/s11081-013-9216-8","journal-title":"Optimization and Engineering"},{"key":"9_CR12","unstructured":"Ford, H., Alexander, J.M.: Advanced mechanics of materials. In: Horwood, E (1977)"},{"issue":"4","key":"9_CR13","doi-asserted-by":"publisher","first-page":"857","DOI":"10.2307\/2528823","volume":"27","author":"J. C. Gower","year":"1971","unstructured":"Gower, J.C.: A general coefficient of similarity and some of its properties. Biometrics 27(4), 857 (1971). https:\/\/doi.org\/10.2307\/2528823","journal-title":"Biometrics"},{"issue":"483","key":"9_CR14","doi-asserted-by":"publisher","first-page":"1119","DOI":"10.1198\/016214508000000689","volume":"103","author":"Robert B Gramacy","year":"2008","unstructured":"Gramacy, R.B., Lee, H.K.H.: Bayesian treed gaussian process models with an application to computer modeling. J. Am. Stat. Assoc. 103(483), 1119\u20131130 (2008). https:\/\/doi.org\/10.1198\/016214508000000689","journal-title":"Journal of the American Statistical Association"},{"key":"9_CR15","doi-asserted-by":"publisher","unstructured":"Gray, J., Moore, K., Naylor, B.: OpenMDAO: an open source framework for multidisciplinary analysis and optimization. In: 13th AIAA\/ISSMO Multidisciplinary Analysis Optimization Conference pp. 1\u201312 (2010). https:\/\/doi.org\/10.2514\/6.2010-9101","DOI":"10.2514\/6.2010-9101"},{"key":"9_CR16","doi-asserted-by":"publisher","unstructured":"Halstrup, M.: Black-box optimization of mixed discrete-continuous optimization problems (2016). https:\/\/doi.org\/10.17877\/DE290R-17800","DOI":"10.17877\/DE290R-17800"},{"key":"9_CR17","doi-asserted-by":"publisher","unstructured":"Hansen, N.: Towards a new evolutionary computation: advances in the estimation of distribution algorithms. In: Towards a New Evolutionary Computation, pp. 75\u2013102. Springer Berlin Heidelberg, Berlin, Heidelberg (2006). https:\/\/doi.org\/10.1007\/3-540-32494-1_4","DOI":"10.1007\/3-540-32494-1_4"},{"issue":"6","key":"9_CR18","doi-asserted-by":"publisher","first-page":"979","DOI":"10.1007\/s00158-013-1029-z","volume":"49","author":"Manuel Herrera","year":"2014","unstructured":"Herrera, M., Guglielmetti, A., Xiao, M., Filomeno Coelho, R.: Metamodel-assisted optimization based on multiple kernel regression for mixed variables. Struct. Multidiscip. Optim. 49(6), 979\u2013991 (2014). https:\/\/doi.org\/10.1007\/s00158-013-1029-z","journal-title":"Structural and Multidisciplinary Optimization"},{"key":"9_CR19","doi-asserted-by":"publisher","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, 455\u2013492 (1998)","journal-title":"J. Glob. Optim."},{"issue":"5","key":"9_CR20","doi-asserted-by":"publisher","first-page":"1247","DOI":"10.1016\/j.csda.2009.11.003","volume":"54","author":"Namgil Lee","year":"2010","unstructured":"Lee, N., Kim, J.M.: Conversion of categorical variables into numerical variables via Bayesian network classifiers for binary classifications. Omputational Stat. Data Anal. 54(5), 1247\u20131265 (2010). https:\/\/doi.org\/10.1016\/j.csda.2009.11.003","journal-title":"Computational Statistics & Data Analysis"},{"key":"9_CR21","unstructured":"Levine, I.N.: Physical Chemistry. McGraw-Hill (2009)"},{"key":"9_CR22","doi-asserted-by":"publisher","unstructured":"Li, R., Emmerich, M.T.M., Eggermont, J., Bovenkamp, E.G., B\u00e4ck, T., Dijkstra, J., Reiber, J.H.: Metamodel-assisted mixed integer evolution strategies and their application to intravascular ultrasound image analysis. In: 2008 IEEE Congress on Evolutionary Computation, CEC 2008, pp. 2764\u20132771. IEEE, Hong Kong (2008). https:\/\/doi.org\/10.1109\/CEC.2008.4631169","DOI":"10.1109\/CEC.2008.4631169"},{"issue":"1","key":"9_CR23","doi-asserted-by":"publisher","first-page":"14","DOI":"10.1002\/widm.8","volume":"1","author":"Wei-Yin Loh","year":"2011","unstructured":"Loh, W.Y.: Classification and regression trees. Wiley Interdiscip. Rev.: Data Min. Knowl. Discov. 1(1), 14\u201323 (2011). https:\/\/doi.org\/10.1002\/widm.8","journal-title":"Wiley Interdisciplinary Reviews: Data Mining and Knowledge Discovery"},{"key":"9_CR24","doi-asserted-by":"publisher","unstructured":"MacNeal, R.H., McCormick, C.W.: The NASTRAN computer program for structural analysis. In: SAE Technical Paper. SAE International (1969). https:\/\/doi.org\/10.4271\/690612","DOI":"10.4271\/690612"},{"key":"9_CR25","unstructured":"McBride, B.J., Gordon, S.: Computer program for calculation of complex chemical equilibrium compositions and applications. User Manual and Program Description. Technical report, NASA (1996)"},{"issue":"10","key":"9_CR26","doi-asserted-by":"publisher","first-page":"1950","DOI":"10.2514\/2.1185","volume":"39","author":"Martin Meckesheimer","year":"2001","unstructured":"Meckesheimer, M., Barton, R.R., Simpson, T., Limayem, F., Yannou, B.: Metamodeling of combined discrete\/continuous responses. AIAA J. 39(10) (2001). https:\/\/doi.org\/10.2514\/2.1185","journal-title":"AIAA Journal"},{"issue":"3-4","key":"9_CR27","doi-asserted-by":"publisher","first-page":"192","DOI":"10.1016\/j.geoderma.2005.04.003","volume":"128","author":"Budiman Minasny","year":"2005","unstructured":"Minasny, B., McBratney, A.B.: The Mat\u00e9rn function as a general model for soil variograms. In: Geoderma, vol. 128, pp. 192\u2013207. Elsevier (2005). https:\/\/doi.org\/10.1016\/j.geoderma.2005.04.003","journal-title":"Geoderma"},{"issue":"2","key":"9_CR28","doi-asserted-by":"publisher","first-page":"1","DOI":"10.32614\/RJ-2012-012","volume":"4","author":"Z Nie","year":"2012","unstructured":"Nie, Z., Racine, J.S.: The crs package: nonparametric regression splines for continuous and categorical predictors. R J. 4(2), 1\u201310 (2012)","journal-title":"R J."},{"issue":"3","key":"9_CR29","doi-asserted-by":"publisher","first-page":"313","DOI":"10.1080\/02693799008941549","volume":"4","author":"M. A. OLIVER","year":"1990","unstructured":"Oliver, M.A., Webster, R.: Kriging: a method of interpolation for geographical information systems. Int. J. Geogr. Inf. Syst. 4(3), 313\u2013332 (1990). https:\/\/doi.org\/10.1080\/02693799008941549","journal-title":"International journal of geographical information systems"},{"issue":"3","key":"9_CR30","doi-asserted-by":"publisher","first-page":"383","DOI":"10.1198\/004017008000000262","volume":"50","author":"Peter Z. G Qian","year":"2008","unstructured":"Qian, P.Z.G., Wu, H., Wu, C.F.J.: Gaussian process models for computer experiments with qualitative and quantitative factors. Technometrics 50(3), 383\u2013396 (2008). https:\/\/doi.org\/10.1198\/004017008000000262","journal-title":"Technometrics"},{"issue":"1","key":"9_CR31","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.paerosci.2005.02.001","volume":"41","author":"Nestor V. Queipo","year":"2005","unstructured":"Queipo, N.V., Haftka, R.T., Shyy, W., Goel, T., Vaidyanathan, R., Kevin Tucker, P.: Surrogate-based analysis and optimization. Prog. Aerosp. Sci. 41(1), 1\u201328 (2005). https:\/\/doi.org\/10.1016\/j.paerosci.2005.02.001","journal-title":"Progress in Aerospace Sciences"},{"key":"9_CR32","doi-asserted-by":"crossref","unstructured":"Rasmussen, C.E., Williams, C.K.I.: Gaussian processes for machine learning. MIT Press (2006)","DOI":"10.7551\/mitpress\/3206.001.0001"},{"key":"9_CR33","doi-asserted-by":"publisher","unstructured":"Rebonato, R., Jaeckel, P.: The most general methodology to create a valid correlation matrix for risk management and option pricing purposes. SSRN Electron. J. (2011). https:\/\/doi.org\/10.2139\/ssrn.1969689","DOI":"10.2139\/ssrn.1969689"},{"issue":"4","key":"9_CR34","doi-asserted-by":"publisher","first-page":"409","DOI":"10.1214\/ss\/1177012413","volume":"4","author":"Jerome Sacks","year":"1989","unstructured":"Sacks, J., Welch, W.J., Mitchell, T.J., Wynn, H.P.: Design and analysis of computer experiments. Stat. Sci. 4(4), 409\u2013423 (1989). https:\/\/doi.org\/10.1214\/ss\/1177012413","journal-title":"Statistical Science"},{"issue":"02","key":"9_CR35","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1142\/S0129065704001899","volume":"14","author":"MATTHIAS SEEGER","year":"2004","unstructured":"Seeger, M.: Gaussian processes for machine learning. Int. J. Neural Syst. 14(02), 69\u2013106 (2004). https:\/\/doi.org\/10.1142\/S0129065704001899","journal-title":"International Journal of Neural Systems"},{"issue":"2","key":"9_CR36","doi-asserted-by":"publisher","first-page":"129","DOI":"10.1007\/PL00007198","volume":"17","author":"T.W. Simpson","year":"2001","unstructured":"Simpson, T., Poplinski, J., Koch, P.N., Allen, J.: Metamodels for computer-based engineering design: survey and recommendations. Eng. Comput. 17(2), 129\u2013150 (2001). https:\/\/doi.org\/10.1007\/PL00007198","journal-title":"Engineering with Computers"},{"issue":"280","key":"9_CR37","doi-asserted-by":"publisher","first-page":"548","DOI":"10.1080\/01621459.1957.10501412","volume":"52","author":"Daniel B. Suits","year":"1957","unstructured":"Suits, D.B.: Use of dummy variables in regression equations. J. Am. Stat. Assoc. 52(280), 548\u2013551 (1957). https:\/\/doi.org\/10.1080\/01621459.1957.10501412","journal-title":"Journal of the American Statistical Association"},{"key":"9_CR38","doi-asserted-by":"crossref","unstructured":"Suli, E., Mayers, D.F.: An introduction to numerical analysis. Cambridge University Press (2003)","DOI":"10.1017\/CBO9780511801181"},{"key":"9_CR39","doi-asserted-by":"crossref","unstructured":"Swiler, L.P., Hough, P.D., Qian, P., Xu, X., Storlie, C., Lee, H.: Surrogate models for mixed discrete-continuous variables (2012)","DOI":"10.2172\/1055621"},{"issue":"1","key":"9_CR40","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1207\/s15328031us0301_3","volume":"3","author":"Craig A. Wendorf Craig A. Wendorf","year":"2004","unstructured":"Wendorf, C.A.: Primer on multiple regression coding: common forms and the additional case of repeated contrasts. Underst. Stat. 3(1), 47\u201357 (2004). https:\/\/doi.org\/10.1207\/s15328031us0301_3","journal-title":"Understanding Statistics"},{"issue":"3","key":"9_CR41","doi-asserted-by":"publisher","first-page":"266","DOI":"10.1198\/TECH.2011.10025","volume":"53","author":"Qiang Zhou","year":"2011","unstructured":"Zhou, Q., Qian, P.Z.G., Zhou, S.: A simple approach to emulation for computer models with qualitative and quantitative factors. Technometrics 53(3), 266\u2013273 (2011). https:\/\/doi.org\/10.1198\/TECH.2011.10025","journal-title":"Technometrics"}],"container-title":["Studies in Computational Intelligence","High-Performance Simulation-Based Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-18764-4_9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,9,19]],"date-time":"2022-09-19T02:09:39Z","timestamp":1663553379000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-030-18764-4_9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,6,2]]},"ISBN":["9783030187637","9783030187644"],"references-count":41,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-18764-4_9","relation":{},"ISSN":["1860-949X","1860-9503"],"issn-type":[{"value":"1860-949X","type":"print"},{"value":"1860-9503","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,6,2]]},"assertion":[{"value":"2 June 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}