{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,14]],"date-time":"2026-03-14T22:35:34Z","timestamp":1773527734006,"version":"3.50.1"},"reference-count":39,"publisher":"Elsevier BV","issue":"9","license":[{"start":{"date-parts":[[2006,5,1]],"date-time":"2006-05-01T00:00:00Z","timestamp":1146441600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computational Statistics &amp; Data Analysis"],"published-print":{"date-parts":[[2006,5]]},"DOI":"10.1016\/j.csda.2004.12.007","type":"journal-article","created":{"date-parts":[[2005,1,19]],"date-time":"2005-01-19T12:29:53Z","timestamp":1106137793000},"page":"2422-2446","source":"Crossref","is-referenced-by-count":66,"title":["Dimension reduction in functional regression with applications"],"prefix":"10.1016","volume":"50","author":[{"given":"U.","family":"Amato","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.","family":"Antoniadis","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"I.","family":"De Feis","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/j.csda.2004.12.007_bib1","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1002\/cem.1180070305","article-title":"Representation of spectra by continuous functions","volume":"7","author":"Alsberg","year":"1993","journal-title":"Journal of Chemometrics"},{"key":"10.1016\/j.csda.2004.12.007_bib2","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1016\/S0167-9473(98)90145-1","article-title":"Wavelet regression for random or irregular design","volume":"28","author":"Antoniadis","year":"1998","journal-title":"Computational Statistics and Data Analysis"},{"key":"10.1016\/j.csda.2004.12.007_bib3","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1007\/BF02293986","article-title":"Principal components analysis of sampled functions","volume":"51","author":"Besse","year":"1986","journal-title":"Psychometrika"},{"key":"10.1016\/j.csda.2004.12.007_bib4","series-title":"Nonparametric Functional Estimation and Related Topics, Proceedings of NATO Advanced Inst. Spetsai","first-page":"509","article-title":"Modelization, nonparametric estimation and prediction for continuous time processes","author":"Bosq","year":"1991"},{"key":"10.1016\/j.csda.2004.12.007_bib5","doi-asserted-by":"crossref","unstructured":"Bosq, D., 2000. Linear processes in function space, theory and application. Lectures Notes in Statistics, vol. 149. Springer, New York.","DOI":"10.1007\/978-1-4612-1154-9"},{"issue":"454","key":"10.1016\/j.csda.2004.12.007_bib6","doi-asserted-by":"crossref","first-page":"398","DOI":"10.1198\/016214501753168118","article-title":"Bayesian wavelet regression on curves with application to a spectroscopic calibration problem","volume":"96","author":"Brown","year":"2001","journal-title":"Journal of the American Statistical Association"},{"key":"10.1016\/j.csda.2004.12.007_bib7","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1016\/S0167-7152(99)00036-X","article-title":"Functional linear model","volume":"45","author":"Cardot","year":"1999","journal-title":"Statistics and Probability Letters"},{"key":"10.1016\/j.csda.2004.12.007_bib8","unstructured":"Carmona, R., Hwang, W.L., Torresani, B., 1998. Practical time-frequency analysis: gabor and wavelet transforms with an implementation in S. In: Wavelet Analysis and its Applications Series, vol. 9. Academic Press, San Diego."},{"key":"10.1016\/j.csda.2004.12.007_bib9","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1007\/978-1-4612-2412-9_9","article-title":"A theory of wavelet representation and decomposition for a general stochastic process","volume":"115","author":"Cheng","year":"1996","journal-title":"Lecture Notes in Statistics"},{"key":"10.1016\/j.csda.2004.12.007_bib10","doi-asserted-by":"crossref","first-page":"518","DOI":"10.1137\/S0036139994279153","article-title":"Nonlinear approximation of random functions","volume":"57","author":"Cohen","year":"1997","journal-title":"SIAM Journal of Applied Mathematics"},{"key":"10.1016\/j.csda.2004.12.007_bib11","first-page":"161","article-title":"Save","volume":"29","author":"Cook","year":"2000","journal-title":"Communications in Statistics"},{"key":"10.1016\/j.csda.2004.12.007_bib12","series-title":"Ten Lectures on Wavelets","author":"Daubechies","year":"1992"},{"key":"10.1016\/j.csda.2004.12.007_bib13","first-page":"947","article-title":"Un mod\u00e8le semi-param\u00e9trique pour variables al\u00e9atoires hilbertiennes","volume":"333","author":"Dauxois","year":"2001","journal-title":"Comptes Rendus de l\u2019Acad\u00e9mie des Sciences"},{"issue":"3","key":"10.1016\/j.csda.2004.12.007_bib14","doi-asserted-by":"crossref","first-page":"515","DOI":"10.2307\/2986329","article-title":"Calibration with many variables","volume":"42","author":"Denham","year":"1993","journal-title":"Applied Statistics"},{"key":"10.1016\/j.csda.2004.12.007_bib15","doi-asserted-by":"crossref","first-page":"793","DOI":"10.1214\/aos\/1176346703","article-title":"Asymptotics of graphical projection pursuit","volume":"12","author":"Diaconis","year":"1984","journal-title":"Annals of Statistics"},{"key":"10.1016\/j.csda.2004.12.007_bib16","doi-asserted-by":"crossref","first-page":"228","DOI":"10.1137\/1134019","article-title":"On sequential nonparametric estimation of a density","volume":"34","author":"Efromovich","year":"1989","journal-title":"Theory of Probability and its Applications"},{"key":"10.1016\/j.csda.2004.12.007_bib17","doi-asserted-by":"crossref","first-page":"545","DOI":"10.1007\/s001800200126","article-title":"The functional nonparametric model and application to spectrometric data","volume":"17","author":"Ferraty","year":"2002","journal-title":"Computational Statistics"},{"issue":"441","key":"10.1016\/j.csda.2004.12.007_bib18","doi-asserted-by":"crossref","first-page":"132","DOI":"10.2307\/2669610","article-title":"Determining the dimension in sliced inverse regression and related methods","volume":"93","author":"Ferre","year":"1998","journal-title":"Journal of the American Statistical Association"},{"key":"10.1016\/j.csda.2004.12.007_bib19","unstructured":"Ferre, L., Yao, A.F., (2000). Functional sliced inverse regression analysis. Technical Report LSP-2000-14, University of Toulouse."},{"issue":"434","key":"10.1016\/j.csda.2004.12.007_bib20","doi-asserted-by":"crossref","first-page":"627","DOI":"10.2307\/2291658","article-title":"Partial least squares regression on smooth factors","volume":"91","author":"Goutis","year":"1996","journal-title":"Journal of American Statistical Association"},{"issue":"2","key":"10.1016\/j.csda.2004.12.007_bib21","doi-asserted-by":"crossref","first-page":"867","DOI":"10.1214\/aos\/1176349155","article-title":"On almost linearity of low dimensional projection from high dimensional data","volume":"21","author":"Hall","year":"1993","journal-title":"Annals of Statistics"},{"issue":"2","key":"10.1016\/j.csda.2004.12.007_bib22","doi-asserted-by":"crossref","first-page":"1040","DOI":"10.1214\/aos\/1176348669","article-title":"An asymptotic theory for sliced inverse regression","volume":"20","author":"Hsing","year":"1992","journal-title":"Annals of Statistics"},{"issue":"2","key":"10.1016\/j.csda.2004.12.007_bib23","first-page":"1260","article-title":"Statistical tools to analyze data representing a sample of curves","volume":"20","author":"Kneip","year":"1992","journal-title":"Annals of Statistics"},{"issue":"414","key":"10.1016\/j.csda.2004.12.007_bib24","doi-asserted-by":"crossref","first-page":"316","DOI":"10.2307\/2290563","article-title":"Sliced inverse regression for dimension reduction","volume":"86","author":"Li","year":"1991","journal-title":"Journal of American Statistical Association"},{"key":"10.1016\/j.csda.2004.12.007_bib25","doi-asserted-by":"crossref","first-page":"674","DOI":"10.1109\/34.192463","article-title":"A theory for multiresolution signal decomposition","volume":"11","author":"Mallat","year":"1989","journal-title":"IEEE Transaction on Pattern Analysis and Machine Intelligence"},{"key":"10.1016\/j.csda.2004.12.007_bib26","series-title":"Multivariate Calibration","author":"Martens","year":"1989"},{"key":"10.1016\/j.csda.2004.12.007_bib27","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1002\/cem.701","article-title":"Multivariate calibration stability","volume":"16","author":"Marx","year":"2002","journal-title":"Journal of Chemometrics"},{"issue":"1760","key":"10.1016\/j.csda.2004.12.007_bib28","doi-asserted-by":"crossref","first-page":"2511","DOI":"10.1098\/rsta.1999.0445","article-title":"Wavelets in time series analysis","volume":"357","author":"Nason","year":"1999","journal-title":"Philosophical Transactions of the Royal Society of London A"},{"key":"10.1016\/j.csda.2004.12.007_bib29","unstructured":"Neveu, J., 1968. Processus aleatoir\u00e9s gaussiens. Technical Report, Presses de l\u2019Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, Quebec."},{"key":"10.1016\/j.csda.2004.12.007_bib30","series-title":"Essential Wavelets for Statistical Applications and Data Analysis","author":"Ogden","year":"1997"},{"key":"10.1016\/j.csda.2004.12.007_bib31","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1002\/jsfa.2740350116","article-title":"Application of near-infrared reflectance spectroscopy to compositional analysis of biscuits and biscuits doughs","volume":"35","author":"Osborne","year":"1984","journal-title":"Journal of the Science of Food and Agriculture"},{"key":"10.1016\/j.csda.2004.12.007_bib32","series-title":"Wavelet Methods for Time Series Analysis","author":"Percival","year":"2000"},{"key":"10.1016\/j.csda.2004.12.007_bib33","doi-asserted-by":"crossref","first-page":"285","DOI":"10.2307\/2981865","article-title":"Some statistical approaches to multidimensional scaling","volume":"145","author":"Ramsay","year":"1982","journal-title":"Journal of Royal Statistical Society, Series A"},{"key":"10.1016\/j.csda.2004.12.007_bib34","series-title":"Functional Data Analysis","author":"Ramsay","year":"1997"},{"issue":"1","key":"10.1016\/j.csda.2004.12.007_bib35","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1109\/72.478392","article-title":"A review of Bayesian neural networks with an application to near infrared spectroscopy","volume":"7","author":"Thodberg","year":"1996","journal-title":"IEEE Transactions on Neural Networks"},{"key":"10.1016\/j.csda.2004.12.007_bib36","doi-asserted-by":"crossref","first-page":"1761","DOI":"10.1021\/ac9709920","article-title":"Influence of temperature on vibrational spectra and consequences for the predictive ability of multivariate models","volume":"70","author":"W\u00fclfert","year":"1998","journal-title":"Analytical Chemistry"},{"issue":"3","key":"10.1016\/j.csda.2004.12.007_bib37","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1111\/1467-9868.03411","article-title":"An adaptive estimation of dimension reduction space","volume":"64","author":"Xia","year":"2002","journal-title":"Journal of Royal Statistical Society, Series B"},{"key":"10.1016\/j.csda.2004.12.007_bib38","first-page":"51","article-title":"On subset selection in nonparametric stochastic regression","volume":"4","author":"Yao","year":"1994","journal-title":"Statistica Sinica"},{"issue":"3","key":"10.1016\/j.csda.2004.12.007_bib39","doi-asserted-by":"crossref","first-page":"1053","DOI":"10.1214\/aos\/1032526955","article-title":"Asymptotics for kernel estimate of sliced inverse regression","volume":"24","author":"Zhu","year":"1996","journal-title":"Annals of Statistics"}],"container-title":["Computational Statistics &amp; Data Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/api.elsevier.com\/content\/article\/PII:S0167947304003998?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/api.elsevier.com\/content\/article\/PII:S0167947304003998?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,1,30]],"date-time":"2019-01-30T05:51:51Z","timestamp":1548827511000},"score":1,"resource":{"primary":{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/linkinghub.elsevier.com\/retrieve\/pii\/S0167947304003998"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,5]]},"references-count":39,"journal-issue":{"issue":"9","published-print":{"date-parts":[[2006,5]]}},"alternative-id":["S0167947304003998"],"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/doi.org\/10.1016\/j.csda.2004.12.007","relation":{},"ISSN":["0167-9473"],"issn-type":[{"value":"0167-9473","type":"print"}],"subject":[],"published":{"date-parts":[[2006,5]]}}}