{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T15:30:14Z","timestamp":1773243014532,"version":"3.50.1"},"reference-count":33,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","funder":[{"name":"Stanford Graduate Fellowship"},{"DOI":"10.13039\/100015707","name":"SAIL-Toyota Center for AI Research","doi-asserted-by":"crossref","id":[{"id":"10.13039\/100015707","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/100000006","name":"Office of Naval Research","doi-asserted-by":"publisher","award":["N00014-19-2288"],"award-info":[{"award-number":["N00014-19-2288"]}],"id":[{"id":"10.13039\/100000006","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["NSF-CAREER-1553086"],"award-info":[{"award-number":["NSF-CAREER-1553086"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM Rev."],"published-print":{"date-parts":[[2020,1]]},"DOI":"10.1137\/20m1321759","type":"journal-article","created":{"date-parts":[[2020,5,6]],"date-time":"2020-05-06T17:08:17Z","timestamp":1588784897000},"page":"395-436","source":"Crossref","is-referenced-by-count":17,"title":["First-Order Methods for Nonconvex Quadratic Minimization"],"prefix":"10.1137","volume":"62","author":[{"given":"Yair","family":"Carmon","sequence":"first","affiliation":[]},{"given":"John C.","family":"Duchi","sequence":"additional","affiliation":[]}],"member":"351","published-online":{"date-parts":[[2020,5,7]]},"reference":[{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1137\/16M1150281"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1007\/s10589-014-9672-x"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1137\/16M1080173"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1137\/17M1113898"},{"key":"atypb7","first-page":"654","author":"Carmon Y.","year":"2017","journal-title":"Dimension-free acceleration of gradient descent on non-convex functions, in Proceedings of the 34th International Conference on Machine Learning"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1137\/17M1114296"},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-009-0337-y"},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-009-0286-5"},{"key":"atypb12","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2012.06.003"},{"key":"atypb14","first-page":"505","author":"Cullum J.","year":"1974","journal-title":"IEEE"},{"key":"atypb15","first-page":"797","volume":"40","author":"Ge R.","year":"2015","journal-title":"Proc. Mach. Learn. Res."},{"key":"atypb19","doi-asserted-by":"publisher","DOI":"10.1016\/B978-0-12-587260-7.50018-2"},{"key":"atypb20","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623497322735"},{"key":"atypb22","first-page":"1025","volume":"19","author":"Hardt M.","year":"2018","journal-title":"J. Mach. Learn. Res."},{"key":"atypb23","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-015-0933-y"},{"key":"atypb24","doi-asserted-by":"publisher","DOI":"10.6028\/jres.049.044"},{"key":"atypb25","doi-asserted-by":"publisher","DOI":"10.1137\/16M1065197"},{"key":"atypb27","doi-asserted-by":"publisher","DOI":"10.1137\/0613066"},{"key":"atypb28","first-page":"597","volume":"30","author":"Li Y.","year":"2017","journal-title":"Advances in Neural Information Processing Systems"},{"key":"atypb31","doi-asserted-by":"publisher","DOI":"10.1137\/0804009"},{"key":"atypb32","doi-asserted-by":"publisher","DOI":"10.1007\/BF02592948"},{"key":"atypb35","first-page":"372","volume":"27","author":"Nesterov Y.","year":"1983","journal-title":"Soviet Math. Dokl."},{"key":"atypb37","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-006-0706-8"},{"key":"atypb39","doi-asserted-by":"publisher","DOI":"10.1162\/neco.1994.6.1.147"},{"key":"atypb40","doi-asserted-by":"publisher","DOI":"10.1137\/17M1134329"},{"key":"atypb41","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-019-01362-7"},{"key":"atypb42","doi-asserted-by":"publisher","DOI":"10.1162\/08997660260028683"},{"key":"atypb43","first-page":"1249","author":"Simchowitz M.","year":"2018","journal-title":"Proceedings of the Fiftieth Annual ACM Symposium on Theory of Computing"},{"key":"atypb44","doi-asserted-by":"publisher","DOI":"10.1137\/0720042"},{"key":"atypb45","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-017-9365-9"},{"key":"atypb46","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623494274313"},{"key":"atypb50","doi-asserted-by":"publisher","DOI":"10.1080\/10556780600605129"},{"key":"atypb52","doi-asserted-by":"publisher","DOI":"10.1137\/16M1095056"}],"container-title":["SIAM Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/20M1321759","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,23]],"date-time":"2020-05-23T07:24:24Z","timestamp":1590218664000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/20M1321759"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,1]]},"references-count":33,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2020,1]]}},"alternative-id":["10.1137\/20M1321759"],"URL":"https:\/\/doi.org\/10.1137\/20m1321759","relation":{},"ISSN":["0036-1445","1095-7200"],"issn-type":[{"value":"0036-1445","type":"print"},{"value":"1095-7200","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,1]]}}}