{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,29]],"date-time":"2026-05-29T11:11:53Z","timestamp":1780053113115,"version":"3.54.0"},"reference-count":32,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-2053918"],"award-info":[{"award-number":["DMS-2053918"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-2243650"],"award-info":[{"award-number":["DMS-2243650"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["CCF-2308597"],"award-info":[{"award-number":["CCF-2308597"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["CCF-2311275"],"award-info":[{"award-number":["CCF-2311275"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["ECCS-2326591"],"award-info":[{"award-number":["ECCS-2326591"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100007863","name":"Rice University","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100007863","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100007707","name":"University of California, Davis","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100007707","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Optim."],"published-print":{"date-parts":[[2024,12,31]]},"DOI":"10.1137\/23m1605405","type":"journal-article","created":{"date-parts":[[2024,10,1]],"date-time":"2024-10-01T08:02:17Z","timestamp":1727769737000},"page":"3314-3341","source":"Crossref","is-referenced-by-count":2,"title":["Zeroth-Order Riemannian Averaging Stochastic Approximation Algorithms"],"prefix":"10.1137","volume":"34","author":[{"given":"Jiaxiang","family":"Li","sequence":"first","affiliation":[{"name":"Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN 55455 USA."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1472-9559","authenticated-orcid":true,"given":"Krishnakumar","family":"Balasubramanian","sequence":"additional","affiliation":[{"name":"Department of Statistics, University of California, Davis, Davis, CA 95616 USA ."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1967-1069","authenticated-orcid":true,"given":"Shiqian","family":"Ma","sequence":"additional","affiliation":[{"name":"Department of Computational Applied Mathematics and Operations Research, Rice University, Houston, TX 77005 USA."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2024,10,1]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1137\/100802529"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1515\/9781400830244"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1137\/21M1406222"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1017\/9781009166164"},{"key":"ref5","series-title":"Grad. Stud. Math. 33","volume-title":"A Course in Metric Geometry","author":"Burago D.","year":"2022"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1137\/18M122457X"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2201-7"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479895290954"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1137\/17M1130459"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2023.08.003"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1137\/18M1230542"},{"key":"ref13","volume-title":"IJCAI","author":"Han A.","year":"2020"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-021-01632-3"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1137\/140955483"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-39568-1"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1287\/moor.2022.1302"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1137\/21M1405551"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1515\/9781400881826"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-91578-4"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-015-9296-2"},{"key":"ref23","first-page":"6","volume":"15","author":"Polyak B. T.","year":"1977","journal-title":"Eng. Cybernet."},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1287\/moor.12.1.32"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1137\/20M1312952"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1983.1103184"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1137\/21M1464178"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1137\/17M1116787"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1287\/ijoc.2022.1218"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-7400-6"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1093\/imaiai\/iaac027"},{"key":"ref33","first-page":"84","volume":"24","author":"Wang X.","year":"2023","journal-title":"J. Mach. Learn. Res."},{"key":"ref34","volume":"22","author":"Xiao L.","year":"2009","journal-title":"Adv. Neural Inf. Process. Syst."},{"key":"ref35","volume":"29","author":"Zhang H.","year":"2016","journal-title":"NeurIPS"}],"container-title":["SIAM Journal on Optimization"],"original-title":[],"language":"en","deposited":{"date-parts":[[2024,10,1]],"date-time":"2024-10-01T08:02:21Z","timestamp":1727769741000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/23M1605405"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,10,1]]},"references-count":32,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2024,12,31]]}},"alternative-id":["10.1137\/23M1605405"],"URL":"https:\/\/doi.org\/10.1137\/23m1605405","relation":{},"ISSN":["1052-6234","1095-7189"],"issn-type":[{"value":"1052-6234","type":"print"},{"value":"1095-7189","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,10,1]]}}}