{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T00:25:09Z","timestamp":1761611109963},"reference-count":13,"publisher":"MIT Press - Journals","issue":"6","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Neural Computation"],"published-print":{"date-parts":[[2003,6,1]]},"abstract":"<jats:p> In this article, we study leave-one-out style cross-validation bounds for kernel methods. The essential element in our analysis is a bound on the parameter estimation stability for regularized kernel formulations. Using this result, we derive bounds on expected leave-one-out cross-validation errors, which lead to expected generalization bounds for various kernel algorithms. In addition, we also obtain variance bounds for leave-oneout errors. We apply our analysis to some classification and regression problems and compare them with previous results. <\/jats:p>","DOI":"10.1162\/089976603321780326","type":"journal-article","created":{"date-parts":[[2003,5,22]],"date-time":"2003-05-22T00:10:22Z","timestamp":1053562222000},"page":"1397-1437","source":"Crossref","is-referenced-by-count":64,"title":["Leave-One-Out Bounds for Kernel Methods"],"prefix":"10.1162","volume":"15","author":[{"given":"Tong","family":"Zhang","sequence":"first","affiliation":[{"name":"IBM T. J. Watson Research Center, Yorktown Heights, NY 10598, U.S.A.,"}]}],"member":"281","reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01199316"},{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.1162\/153244302760200704"},{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1090\/S0273-0979-01-00923-5"},{"key":"p_5","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176345462"},{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1023\/A:1018946025316"},{"key":"p_10","doi-asserted-by":"publisher","DOI":"10.1162\/089976699300016304"},{"key":"p_12","doi-asserted-by":"publisher","DOI":"10.1023\/A:1018967708053"},{"key":"p_13","doi-asserted-by":"publisher","DOI":"10.1023\/A:1018996230401"},{"key":"p_15","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176349952"},{"key":"p_20","doi-asserted-by":"publisher","DOI":"10.1006\/jath.1997.3137"},{"key":"p_21","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1017939142"},{"key":"p_24","doi-asserted-by":"publisher","DOI":"10.1023\/A:1012498226479"},{"key":"p_25","author":"Zhang T.","journal-title":"Annals of Statitics."}],"container-title":["Neural Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mitpressjournals.org\/doi\/pdf\/10.1162\/089976603321780326","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,3,12]],"date-time":"2021-03-12T21:50:00Z","timestamp":1615585800000},"score":1,"resource":{"primary":{"URL":"https:\/\/direct.mit.edu\/neco\/article\/15\/6\/1397-1437\/6725"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,6,1]]},"references-count":13,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2003,6,1]]}},"alternative-id":["10.1162\/089976603321780326"],"URL":"https:\/\/doi.org\/10.1162\/089976603321780326","relation":{},"ISSN":["0899-7667","1530-888X"],"issn-type":[{"value":"0899-7667","type":"print"},{"value":"1530-888X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,6,1]]}}}