{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,8]],"date-time":"2026-02-08T00:51:35Z","timestamp":1770511895048,"version":"3.49.0"},"reference-count":32,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2019,10,24]],"date-time":"2019-10-24T00:00:00Z","timestamp":1571875200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,10,24]],"date-time":"2019-10-24T00:00:00Z","timestamp":1571875200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comput Stat"],"published-print":{"date-parts":[[2020,9]]},"DOI":"10.1007\/s00180-019-00926-7","type":"journal-article","created":{"date-parts":[[2019,10,25]],"date-time":"2019-10-25T17:48:27Z","timestamp":1572025707000},"page":"1059-1099","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["An efficient dimension reduction for the Gaussian process emulation of two nested codes with functional outputs"],"prefix":"10.1007","volume":"35","author":[{"given":"Sophie","family":"Marque-Pucheu","sequence":"first","affiliation":[]},{"given":"Guillaume","family":"Perrin","sequence":"additional","affiliation":[]},{"given":"Josselin","family":"Garnier","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,10,24]]},"reference":[{"key":"926_CR1","volume-title":"The numerical treatment of integral equations","author":"CTH Baker","year":"1977","unstructured":"Baker CTH (1977) The numerical treatment of integral equations. Clarendon Press, Oxford"},{"issue":"1","key":"926_CR2","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1111\/j.2517-6161.1996.tb02068.x","volume":"58","author":"RA Bates","year":"1996","unstructured":"Bates RA, Buck RJ, Riccomagno E, Wynn HP (1996) Experimental design and observation for large systems. J Roy Stat Soc Ser B 58(1):77\u201394","journal-title":"J Roy Stat Soc Ser B"},{"key":"926_CR3","doi-asserted-by":"publisher","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, Vasquez E (2012) Sequential design of computer experiments for the estimation of a probability of failure. Stat Comput 22:773\u2013797","journal-title":"Stat Comput"},{"issue":"4","key":"926_CR4","doi-asserted-by":"publisher","first-page":"1500","DOI":"10.1137\/130916138","volume":"36","author":"P Constantine","year":"2014","unstructured":"Constantine P, Dow E, Wang QQ (2014) Active Subspace methods in theory and practice: Applications to Kriging surfaces. SIAM J Sci Comput 36(4):1500\u20131524","journal-title":"SIAM J Sci Comput"},{"key":"926_CR5","doi-asserted-by":"publisher","first-page":"640","DOI":"10.1016\/j.jspi.2009.08.006","volume":"140","author":"S Conti","year":"2010","unstructured":"Conti S, O\u2019Hagan A (2010) Bayesian emulation of complex multi-output and dynamic computer models. J Stat Plan Inference 140:640\u2013651","journal-title":"J Stat Plan Inference"},{"issue":"3","key":"926_CR6","doi-asserted-by":"publisher","first-page":"663","DOI":"10.1093\/biomet\/asp028","volume":"96","author":"S Conti","year":"2009","unstructured":"Conti S, Gosling J, Oakley J, O\u2019Hagan A (2009) Gaussian process emulation of dynamic computer codes. Biometrika 96(3):663\u2013676","journal-title":"Biometrika"},{"key":"926_CR7","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1080\/10485250211392","volume":"14","author":"D Cornford","year":"2002","unstructured":"Cornford D, Nabney IT, Williams CKI (2002) Modelling frontal discontinuities in wind fields. J Nonparameter Stat 14:43\u201358","journal-title":"J Nonparameter Stat"},{"key":"926_CR8","doi-asserted-by":"publisher","unstructured":"Defaux G, Evrard P (2014) Probabilistic analysis of a containment vessel subjected to dynamic pressure loading using surrogate models. In: Safety, reliability, risk and life-cycle performance of structures and infrastructures. CRC Press, pp 3203\u20133210, https:\/\/doi.org\/10.1201\/b16387-463","DOI":"10.1201\/b16387-463"},{"key":"926_CR9","doi-asserted-by":"publisher","first-page":"211","DOI":"10.1007\/BF02288367","volume":"1","author":"G Eckart","year":"1936","unstructured":"Eckart G, Young G (1936) The approximation of one matrix by another of lower rank. Psychometrika 1:211\u2013218","journal-title":"Psychometrika"},{"key":"926_CR10","unstructured":"Efroymson M (1960) Mathematical models for digital computers, vol\u00a01, Wiley, chap Multiple regression analysis, pp 191\u2013203"},{"issue":"1","key":"926_CR11","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1080\/00401706.2012.715835","volume":"55","author":"T Fricker","year":"2013","unstructured":"Fricker T, Oakley J, Urban N (2013) Multivariate Gaussian process emulators with nonseparable covariance structures. Technometrics 55(1):47\u201356","journal-title":"Technometrics"},{"key":"926_CR12","doi-asserted-by":"crossref","unstructured":"Ginsbourger D, Le\u00a0Riche R, Carraro L (2010) Computational intelligence in expensive optimization problems, adaptation Learning and Optimization, vol\u00a02, chap Kriging is well-suited to parallelize optimization, Springer Berlin, pp 131\u2013162","DOI":"10.1007\/978-3-642-10701-6_6"},{"issue":"482","key":"926_CR13","doi-asserted-by":"publisher","first-page":"570","DOI":"10.1198\/016214507000000888","volume":"103","author":"D Higdon","year":"2008","unstructured":"Higdon D, Gattiker J, Williams B, Rightley M (2008) Computer model calibration using high-dimensional output. J Am Stat Assoc 103(482):570\u2013583","journal-title":"J Am Stat Assoc"},{"issue":"3","key":"926_CR14","doi-asserted-by":"publisher","first-page":"211","DOI":"10.1002\/cem.1180020306","volume":"2","author":"A H\u00f6skuldsson","year":"1988","unstructured":"H\u00f6skuldsson A (1988) PLS regression methods. J Chemom 2(3):211\u2013228","journal-title":"J Chemom"},{"issue":"1","key":"926_CR15","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1080\/00401706.2013.869263","volume":"5","author":"Y Hung","year":"2015","unstructured":"Hung Y, Joseph V, Melkote S (2015) Analysis of computer experiments with functional response. Technometrics 5(1):35\u201344","journal-title":"Technometrics"},{"key":"926_CR16","first-page":"455","volume":"13","author":"DR Jones","year":"1998","unstructured":"Jones DR, Schonlau M, Welch WJ (1998) Efficient global optimization of expensive black-box functions. Biometrika 13:455\u2013492","journal-title":"Biometrika"},{"key":"926_CR17","doi-asserted-by":"publisher","first-page":"245","DOI":"10.1051\/ps\/2018011","volume":"23","author":"S Marque-Pucheu","year":"2018","unstructured":"Marque-Pucheu S, Perrin G, Garnier J (2018) Efficient sequential experimental design for surrogate modeling of nested codes. ESAIM Probab Stat 23:245\u2013270","journal-title":"ESAIM Probab Stat"},{"issue":"2","key":"926_CR18","doi-asserted-by":"publisher","first-page":"559","DOI":"10.1007\/s00180-016-0676-0","volume":"32","author":"S Nanty","year":"2017","unstructured":"Nanty S, Helbert C, Marrel A, P\u00e9rot N, Prieur C (2017) Uncertainty quantification for functional dependent random variables. Comput Stat 32(2):559\u2013583","journal-title":"Comput Stat"},{"key":"926_CR19","unstructured":"Perrin G (in press) Adaptive calibration of a computer code with time-series output. Reliab Eng Syst Saf"},{"issue":"7","key":"926_CR20","doi-asserted-by":"publisher","first-page":"071008","DOI":"10.1115\/1.4001873","volume":"132","author":"V Picheny","year":"2010","unstructured":"Picheny V, Ginsbourger D, Roustant O, Haftka R, Kim NH (2010) Adaptive designs of experiments for accurate approximation of a target region. J Mech Des 132(7):071008\u2013071008\u20139","journal-title":"J Mech Des"},{"key":"926_CR21","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781316408124","volume-title":"Ridge functions","author":"A Pinkus","year":"2015","unstructured":"Pinkus A (2015) Ridge functions. Cambridge University Press, Cambridge"},{"issue":"6","key":"926_CR22","doi-asserted-by":"publisher","first-page":"4091","DOI":"10.1137\/140962802","volume":"47","author":"F Pinski","year":"2015","unstructured":"Pinski F, Simpson G, Stuart A, Weber H (2015) Kullback\u2013Leibler approximation for probability measures on infinite dimensional spaces. SIAM J Math Anal 47(6):4091\u20134122","journal-title":"SIAM J Math Anal"},{"key":"926_CR23","volume-title":"Gaussian processes for machine learning","author":"CE Rasmussen","year":"2006","unstructured":"Rasmussen CE, Williams CK (2006) Gaussian processes for machine learning. The MIT Press, Cambridge"},{"issue":"4","key":"926_CR24","doi-asserted-by":"publisher","first-page":"827","DOI":"10.1198\/106186008X384032","volume":"17","author":"J Rougier","year":"2008","unstructured":"Rougier J (2008) Efficient emulators for multivariate deterministic functions. J Comput Graph Stat 17(4):827\u2013843","journal-title":"J Comput Graph Stat"},{"key":"926_CR25","unstructured":"Russi T (2010) Uncertainty quantification with experimental data and complex system models. PhD thesis, UC Berkeley"},{"issue":"4","key":"926_CR26","doi-asserted-by":"publisher","first-page":"409","DOI":"10.1214\/ss\/1177012413","volume":"4","author":"J Sacks","year":"1989","unstructured":"Sacks J, Welch W, Mitchell T, Wynn H (1989) Design and analysis of computer experiments. Stat Sci 4(4):409\u2013423","journal-title":"Stat Sci"},{"key":"926_CR27","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-3799-8","volume-title":"The design and analysis of computer experiments","author":"T Santner","year":"2003","unstructured":"Santner T, Williams B, Notz W (2003) The design and analysis of computer experiments. Springer, New York"},{"key":"926_CR28","first-page":"407","volume":"1","author":"I Sobol","year":"1993","unstructured":"Sobol I (1993) Sensitivity estimates for nonlinear mathematical models. Math Model Comput Exp 1:407\u2013414","journal-title":"Math Model Comput Exp"},{"key":"926_CR29","doi-asserted-by":"publisher","first-page":"271","DOI":"10.1016\/S0378-4754(00)00270-6","volume":"55","author":"M Sobol","year":"2001","unstructured":"Sobol M (2001) Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates. Math Comput Simul 55:271\u2013280","journal-title":"Math Comput Simul"},{"issue":"4","key":"926_CR30","doi-asserted-by":"publisher","first-page":"765","DOI":"10.1214\/06-BA125","volume":"1","author":"B Williams","year":"2006","unstructured":"Williams B, Higdony D, Gattiker J, Moore L, McKay M, Keller-McNulty S (2006) Combining experimental data and computer simulations, with an application to flyer plate experiments. Bayesian Anal 1(4):765\u2013792","journal-title":"Bayesian Anal"},{"key":"926_CR31","volume-title":"Estimation of principal components and related models by iterative least squares","author":"H Wold","year":"1966","unstructured":"Wold H (1966) Estimation of principal components and related models by iterative least squares. Academic Press, New York"},{"key":"926_CR32","unstructured":"Zahm O, Constantine P, Prieur C, Marzouk Y (2018) Gradient-based dimension reduction of multivariate vector-valued functions. HAL preprint: hal-180107922"}],"container-title":["Computational Statistics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00180-019-00926-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00180-019-00926-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00180-019-00926-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,25]],"date-time":"2024-07-25T19:22:21Z","timestamp":1721935341000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00180-019-00926-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,10,24]]},"references-count":32,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2020,9]]}},"alternative-id":["926"],"URL":"https:\/\/doi.org\/10.1007\/s00180-019-00926-7","relation":{},"ISSN":["0943-4062","1613-9658"],"issn-type":[{"value":"0943-4062","type":"print"},{"value":"1613-9658","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,10,24]]},"assertion":[{"value":"20 October 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 October 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 October 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}