{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:25:23Z","timestamp":1753881923424,"version":"3.41.2"},"reference-count":33,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","funder":[{"DOI":"10.13039\/100012554","name":"Hubei Provincial Department of Education","doi-asserted-by":"publisher","award":["D20201404"],"award-info":[{"award-number":["D20201404"]}],"id":[{"id":"10.13039\/100012554","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002948","name":"Hubei University of Technology","doi-asserted-by":"crossref","award":["ZZTS2016007"],"award-info":[{"award-number":["ZZTS2016007"]}],"id":[{"id":"10.13039\/501100002948","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100013139","name":"Humanities and Social Science Fund of Ministry of Education of China","doi-asserted-by":"publisher","award":["17YJA790098"],"award-info":[{"award-number":["17YJA790098"]}],"id":[{"id":"10.13039\/501100013139","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":[[2024,5]]},"abstract":"<jats:p> The existing results of the regularized least squares ranking (RLSR) algorithm are mainly related to the reproducing kernels. In this paper, we go beyond this limitation by investigating the convergence rates of ranking with centered reproducing kernel (CRK). We develop a new error analysis framework by means of CRK and integral operator. The result shows that the convergence rate of RLSR is still optimal as those in the traditional analysis framework. <\/jats:p>","DOI":"10.1142\/s0219691323500613","type":"journal-article","created":{"date-parts":[[2023,11,28]],"date-time":"2023-11-28T13:55:06Z","timestamp":1701179706000},"source":"Crossref","is-referenced-by-count":0,"title":["Analysis of regularized least squares ranking with centered reproducing kernel"],"prefix":"10.1142","volume":"22","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6904-6256","authenticated-orcid":false,"given":"Fangchao","family":"He","sequence":"first","affiliation":[{"name":"School of Science, Hubei University of Technology, Wuhan 430068, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0004-3262-4536","authenticated-orcid":false,"given":"Lie","family":"Zheng","sequence":"additional","affiliation":[{"name":"School of Science, Hubei University of Technology, Wuhan 430068, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2023,12,29]]},"reference":[{"key":"S0219691323500613BIB001","first-page":"393","volume":"6","author":"Agarwal S.","year":"2005","journal-title":"J. Mach. Learn. Res."},{"key":"S0219691323500613BIB002","first-page":"441","volume":"10","author":"Agarwal S.","year":"2009","journal-title":"J. Mach. Learn. Res."},{"key":"S0219691323500613BIB003","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1950-0051437-7"},{"key":"S0219691323500613BIB004","first-page":"819","volume":"12","author":"Belle V. V.","year":"2014","journal-title":"J. Mach. Learn. Res."},{"key":"S0219691323500613BIB006","doi-asserted-by":"publisher","DOI":"10.1016\/j.jat.2012.09.001"},{"key":"S0219691323500613BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2020.123881"},{"key":"S0219691323500613BIB008","first-page":"2671","volume":"8","author":"Clemencon S.","year":"2007","journal-title":"J. Mach. Learn. Res."},{"key":"S0219691323500613BIB009","doi-asserted-by":"publisher","DOI":"10.1613\/jair.587"},{"key":"S0219691323500613BIB010","first-page":"795","volume":"13","author":"Cortes C.","year":"2012","journal-title":"J. Mach. Learn. Res."},{"key":"S0219691323500613BIB011","doi-asserted-by":"publisher","DOI":"10.1007\/s102080010030"},{"key":"S0219691323500613BIB012","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2014.05.007"},{"key":"S0219691323500613BIB014","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6420\/aa72b2"},{"key":"S0219691323500613BIB015","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2013.03.033"},{"key":"S0219691323500613BIB016","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2015.07.088"},{"key":"S0219691323500613BIB017","doi-asserted-by":"publisher","DOI":"10.1142\/S0219530518500161"},{"key":"S0219691323500613BIB018","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2021.12.087"},{"key":"S0219691323500613BIB019","doi-asserted-by":"publisher","DOI":"10.1016\/j.jco.2015.09.004"},{"issue":"92","key":"S0219691323500613BIB020","first-page":"1","volume":"18","author":"Lin S. B.","year":"2017","journal-title":"J. Mach. Learn. Res."},{"key":"S0219691323500613BIB021","doi-asserted-by":"publisher","DOI":"10.1016\/j.patcog.2014.05.005"},{"key":"S0219691323500613BIB022","doi-asserted-by":"publisher","DOI":"10.1142\/S0219530516400054"},{"key":"S0219691323500613BIB023","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0020217"},{"key":"S0219691323500613BIB024","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2005.03.001"},{"key":"S0219691323500613BIB025","doi-asserted-by":"publisher","DOI":"10.1007\/s00365-006-0659-y"},{"key":"S0219691323500613BIB026","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2008.10.002"},{"key":"S0219691323500613BIB027","doi-asserted-by":"publisher","DOI":"10.1016\/j.mcm.2008.08.005"},{"key":"S0219691323500613BIB028","doi-asserted-by":"publisher","DOI":"10.1007\/s10444-008-9099-y"},{"issue":"171","key":"S0219691323500613BIB029","first-page":"1","volume":"22","author":"Sun H. W.","year":"2021","journal-title":"J. Mach. Learn. Res."},{"volume-title":"Statistical Learning Theory","year":"1998","author":"Vapnik V. N.","key":"S0219691323500613BIB030"},{"key":"S0219691323500613BIB031","first-page":"883","volume":"6","author":"Vito E. D.","year":"2005","journal-title":"J. Mach. Learn. Res."},{"key":"S0219691323500613BIB032","doi-asserted-by":"publisher","DOI":"10.1007\/s10462-012-9369-4"},{"key":"S0219691323500613BIB033","doi-asserted-by":"publisher","DOI":"10.1016\/j.jat.2012.10.001"},{"key":"S0219691323500613BIB034","doi-asserted-by":"publisher","DOI":"10.1155\/2013\/540725"},{"key":"S0219691323500613BIB035","doi-asserted-by":"publisher","DOI":"10.1142\/S0219530517500063"}],"container-title":["International Journal of Wavelets, Multiresolution and Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219691323500613","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,19]],"date-time":"2024-07-19T06:18:02Z","timestamp":1721369882000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0219691323500613"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,12,29]]},"references-count":33,"journal-issue":{"issue":"03","published-print":{"date-parts":[[2024,5]]}},"alternative-id":["10.1142\/S0219691323500613"],"URL":"https:\/\/doi.org\/10.1142\/s0219691323500613","relation":{},"ISSN":["0219-6913","1793-690X"],"issn-type":[{"type":"print","value":"0219-6913"},{"type":"electronic","value":"1793-690X"}],"subject":[],"published":{"date-parts":[[2023,12,29]]},"article-number":"2350061"}}