{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T11:30:24Z","timestamp":1740137424391,"version":"3.37.3"},"reference-count":17,"publisher":"World Scientific Pub Co Pte Ltd","issue":"05","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11501380"],"award-info":[{"award-number":["11501380"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11571267","91538112"],"award-info":[{"award-number":["11571267","91538112"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["91538112"],"award-info":[{"award-number":["91538112"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2018,9]]},"abstract":"<jats:p> Sliced inverse regression (SIR) is a powerful method to deal with a dimension reduction model. As well known, SIR is equivalent to a transformation-based projection pursuit, where the optimal directions are just the directions in SIR. In this paper, we consider simultaneous estimations of optimal directions for functional data and optimal transformations. We take a reproducing kernel Hilbert space approach. Both the directions and the transformations are chosen from reproducing kernel Hilbert spaces. A learning rate is established for the estimators. <\/jats:p>","DOI":"10.1142\/s0219691318500431","type":"journal-article","created":{"date-parts":[[2018,5,14]],"date-time":"2018-05-14T00:01:47Z","timestamp":1526256107000},"page":"1850043","source":"Crossref","is-referenced-by-count":1,"title":["Simultaneous estimations of optimal directions and optimal transformations for functional data"],"prefix":"10.1142","volume":"16","author":[{"given":"Heng","family":"Chen","sequence":"first","affiliation":[{"name":"School of Statistics, Capital University of Economics and Business, Beijing 100070, P. R. China"}]},{"given":"Wei","family":"Huang","sequence":"additional","affiliation":[{"name":"School of Mathematics, Hefei University of Technology, Hefei 230009, P. R. China"}]},{"given":"Di-Rong","family":"Chen","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100191, P. R. China"},{"name":"Department of Applied Mathematics, Wuhan Textile University, Wuhan 430073, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2018,9,11]]},"reference":[{"key":"S0219691318500431BIB001","doi-asserted-by":"publisher","DOI":"10.1007\/s11425-011-4245-2"},{"key":"S0219691318500431BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/j.jspi.2017.09.001"},{"key":"S0219691318500431BIB003","first-page":"289","volume":"8","author":"Chen C. H.","year":"1998","journal-title":"Statist. Sinica."},{"key":"S0219691318500431BIB004","doi-asserted-by":"publisher","DOI":"10.1198\/TECH.2011.08118"},{"key":"S0219691318500431BIB005","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511618796"},{"key":"S0219691318500431BIB006","doi-asserted-by":"publisher","DOI":"10.1080\/0233188031000112845"},{"key":"S0219691318500431BIB007","first-page":"665","volume":"15","author":"Ferr\u00e9 L.","year":"2005","journal-title":"Statist. Sinica"},{"key":"S0219691318500431BIB008","first-page":"361","volume":"8","author":"Fukumizu K.","year":"2007","journal-title":"J. Mach. Learn. Res."},{"key":"S0219691318500431BIB009","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176324456"},{"key":"S0219691318500431BIB010","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.1991.10475035"},{"key":"S0219691318500431BIB011","doi-asserted-by":"publisher","DOI":"10.1007\/s00365-006-0659-y"},{"key":"S0219691318500431BIB012","doi-asserted-by":"publisher","DOI":"10.1214\/009053606000001226"},{"key":"S0219691318500431BIB013","doi-asserted-by":"publisher","DOI":"10.1016\/j.csda.2012.06.015"},{"key":"S0219691318500431BIB014","doi-asserted-by":"publisher","DOI":"10.1198\/106186008X345161"},{"key":"S0219691318500431BIB015","doi-asserted-by":"publisher","DOI":"10.1155\/2013\/540725"},{"key":"S0219691318500431BIB016","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-004-0155-9"},{"key":"S0219691318500431BIB017","doi-asserted-by":"publisher","DOI":"10.1109\/TKDE.2008.232"}],"container-title":["International Journal of Wavelets, Multiresolution and Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219691318500431","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,25]],"date-time":"2019-09-25T02:40:31Z","timestamp":1569379231000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219691318500431"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,9]]},"references-count":17,"journal-issue":{"issue":"05","published-online":{"date-parts":[[2018,9,11]]},"published-print":{"date-parts":[[2018,9]]}},"alternative-id":["10.1142\/S0219691318500431"],"URL":"https:\/\/doi.org\/10.1142\/s0219691318500431","relation":{},"ISSN":["0219-6913","1793-690X"],"issn-type":[{"type":"print","value":"0219-6913"},{"type":"electronic","value":"1793-690X"}],"subject":[],"published":{"date-parts":[[2018,9]]}}}