{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,24]],"date-time":"2026-01-24T23:34:39Z","timestamp":1769297679494,"version":"3.49.0"},"reference-count":25,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"12","license":[{"start":{"date-parts":[[2012,12,1]],"date-time":"2012-12-01T00:00:00Z","timestamp":1354320000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2012,12]]},"DOI":"10.1109\/tit.2012.2211334","type":"journal-article","created":{"date-parts":[[2012,8,2]],"date-time":"2012-08-02T18:04:28Z","timestamp":1343930668000},"page":"7086-7093","source":"Crossref","is-referenced-by-count":29,"title":["PAC-Bayesian Inequalities for Martingales"],"prefix":"10.1109","volume":"58","author":[{"given":"Y.","family":"Seldin","sequence":"first","affiliation":[]},{"given":"F.","family":"Laviolette","sequence":"additional","affiliation":[]},{"given":"N.","family":"Cesa-Bianchi","sequence":"additional","affiliation":[]},{"given":"J.","family":"Shawe-Taylor","sequence":"additional","affiliation":[]},{"given":"P.","family":"Auer","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/18.705570"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1145\/279943.279989"},{"key":"ref12","first-page":"233","article-title":"PAC-Bayesian generalization error bounds for Gaussian process classification","volume":"3","author":"seeger","year":"2002","journal-title":"J Mach Learning Res"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1145\/1968.1972"},{"key":"ref14","first-page":"439","article-title":"PAC-Bayes & margins","author":"langford","year":"2002","journal-title":"Proc Adv Neural Inf Process Syst"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1023\/A:1021840411064"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1145\/1553374.1553419"},{"key":"ref17","first-page":"3595","article-title":"PAC-Bayesian analysis of co-clustering and beyond","volume":"11","author":"seldin","year":"2010","journal-title":"J Mach Learning Res"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-16108-7_13"},{"key":"ref19","author":"maurer","year":"2004","journal-title":"A note on the PAC-Bayesian theorem"},{"key":"ref4","first-page":"1683","article-title":"PAC-Bayesian analysis of contextual bandits","author":"seldin","year":"2011","journal-title":"21st Annu Conf Neural Inf Process Syst"},{"key":"ref3","author":"bernstein","year":"1946","journal-title":"Probability Theory"},{"key":"ref6","doi-asserted-by":"crossref","DOI":"10.1002\/9781118165904","author":"dupuis","year":"1997","journal-title":"A Weak Convergence Approach to the Theory of Large Deviations"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160280102"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1002\/0471200611"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-7970-4"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.2748\/tmj\/1178243286"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1145\/267460.267466"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.1963.10500830"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1214\/aop\/1176996452"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1145\/1390156.1390241"},{"key":"ref21","article-title":"Contextual bandit algorithms with supervised learning guarantees","author":"beygelzimer","year":"2011","journal-title":"presented at the Int Conf Artif Intell"},{"key":"ref24","first-page":"1","article-title":"Empirical Bernstein bounds and sample variance penalization","author":"maurer","year":"2009","journal-title":"Proc Conf Comput Learning Theory"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2009.01.016"},{"key":"ref25","author":"seeger","year":"2003","journal-title":"Bayesian Gaussian process models PAC-Bayesian generalization error bounds and sparse approximations"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/18\/6353633\/06257492.pdf?arnumber=6257492","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,10,10]],"date-time":"2021-10-10T23:51:49Z","timestamp":1633909909000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/6257492\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,12]]},"references-count":25,"journal-issue":{"issue":"12"},"URL":"https:\/\/doi.org\/10.1109\/tit.2012.2211334","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,12]]}}}