{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,12]],"date-time":"2026-03-12T02:51:24Z","timestamp":1773283884866,"version":"3.50.1"},"reference-count":41,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","funder":[{"DOI":"10.13039\/100000879","name":"Alfred P. Sloan Foundation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000879","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000006","name":"Office of Naval Research","doi-asserted-by":"publisher","award":["N00014-19-1-2288"],"award-info":[{"award-number":["N00014-19-1-2288"]}],"id":[{"id":"10.13039\/100000006","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["1553086"],"award-info":[{"award-number":["1553086"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Optim."],"published-print":{"date-parts":[[2019,1]]},"DOI":"10.1137\/18m1230323","type":"journal-article","created":{"date-parts":[[2019,9,5]],"date-time":"2019-09-05T16:44:59Z","timestamp":1567701899000},"page":"2257-2290","source":"Crossref","is-referenced-by-count":45,"title":["Stochastic (Approximate) Proximal Point Methods: Convergence, Optimality, and Adaptivity"],"prefix":"10.1137","volume":"29","author":[{"given":"Hilal","family":"Asi","sequence":"first","affiliation":[]},{"given":"John C.","family":"Duchi","sequence":"additional","affiliation":[]}],"member":"351","published-online":{"date-parts":[[2019,9,5]]},"reference":[{"key":"atypb2","first-page":"451","author":"Bach F.","year":"2011","journal-title":"NY"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1137\/S0036144593251710"},{"key":"atypb4","first-page":"2300","author":"Belkin M.","year":"2018","journal-title":"NY"},{"key":"atypb5","first-page":"1611","volume":"89","author":"Belkin M.","year":"2019","journal-title":"Proc. Mach. Learn. Res."},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1007\/BF00934819"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-011-0472-0"},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1137\/15M1017909"},{"key":"atypb10","first-page":"161","author":"Bottou L.","year":"2007","journal-title":"NY"},{"key":"atypb12","doi-asserted-by":"publisher","DOI":"10.1007\/BF01584377"},{"key":"atypb13","doi-asserted-by":"publisher","DOI":"10.1007\/BF01585997"},{"key":"atypb14","first-page":"265","volume":"2","author":"Crammer K.","year":"2001","journal-title":"J. Mach. Learn. Res."},{"key":"atypb15","doi-asserted-by":"publisher","DOI":"10.1137\/18M1178244"},{"key":"atypb17","first-page":"1223","author":"Dean J.","year":"2012","journal-title":"NY"},{"key":"atypb18","doi-asserted-by":"publisher","DOI":"10.1287\/moor.2017.0889"},{"key":"atypb19","doi-asserted-by":"publisher","DOI":"10.1137\/17M1135086"},{"key":"atypb21","doi-asserted-by":"publisher","DOI":"10.1137\/110848864"},{"key":"atypb22","doi-asserted-by":"publisher","DOI":"10.1137\/120880811"},{"key":"atypb27","doi-asserted-by":"publisher","DOI":"10.6028\/jres.049.027"},{"key":"atypb29","first-page":"392","author":"Karampatziakis N.","year":"2011","journal-title":"VA"},{"key":"atypb30","doi-asserted-by":"publisher","DOI":"10.1137\/0108053"},{"key":"atypb31","first-page":"575","author":"Kulis B.","year":"2010","journal-title":"WI"},{"key":"atypb33","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-010-0434-y"},{"key":"atypb35","doi-asserted-by":"publisher","DOI":"10.1038\/nature14539"},{"key":"atypb36","doi-asserted-by":"publisher","DOI":"10.1287\/moor.1100.0456"},{"key":"atypb37","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-008-9036-y"},{"key":"atypb38","first-page":"3325","volume":"80","author":"Ma S.","year":"2018","journal-title":"Proc. Mach. Learn. Res."},{"key":"atypb40","doi-asserted-by":"publisher","DOI":"10.1145\/2699439"},{"key":"atypb41","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2012.12.022"},{"key":"atypb42","first-page":"1017","author":"Needell D.","year":"2014","journal-title":"NY"},{"key":"atypb43","doi-asserted-by":"publisher","DOI":"10.1137\/070704277"},{"key":"atypb48","doi-asserted-by":"publisher","DOI":"10.1137\/0330046"},{"key":"atypb49","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177729586"},{"key":"atypb50","first-page":"233","author":"Robbins H.","year":"1971","journal-title":"New York"},{"key":"atypb51","doi-asserted-by":"publisher","DOI":"10.1137\/0314056"},{"key":"atypb54","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-010-0420-4"},{"key":"atypb56","doi-asserted-by":"publisher","DOI":"10.1007\/s00041-008-9030-4"},{"key":"atypb57","first-page":"311","volume":"11","author":"Teo C. H.","year":"2010","journal-title":"J. Mach. Learn. Res."},{"key":"atypb58","doi-asserted-by":"publisher","DOI":"10.1214\/16-AOS1506"},{"key":"atypb59","first-page":"1290","volume":"51","author":"Toulis P.","year":"2016","journal-title":"Proc. Mach. Learn. Res."},{"key":"atypb62","first-page":"210","author":"Vershynin R.","year":"2012","journal-title":"Cambridge"},{"key":"atypb63","first-page":"96","author":"Widrow B.","year":"1960","journal-title":"New York"}],"container-title":["SIAM Journal on Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/18M1230323","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,24]],"date-time":"2019-09-24T18:29:31Z","timestamp":1569349771000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/18M1230323"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,1]]},"references-count":41,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2019,1]]}},"alternative-id":["10.1137\/18M1230323"],"URL":"https:\/\/doi.org\/10.1137\/18m1230323","relation":{},"ISSN":["1052-6234","1095-7189"],"issn-type":[{"value":"1052-6234","type":"print"},{"value":"1095-7189","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,1]]}}}