{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,21]],"date-time":"2026-03-21T19:16:03Z","timestamp":1774120563902,"version":"3.50.1"},"reference-count":27,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","license":[{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/501100001381","name":"National Research Foundation Singapore","doi-asserted-by":"publisher","award":["R-252-000-A74-281"],"award-info":[{"award-number":["R-252-000-A74-281"]}],"id":[{"id":"10.13039\/501100001381","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001381","name":"National Research Foundation Singapore","doi-asserted-by":"publisher","award":["R-263-000-D02-281"],"award-info":[{"award-number":["R-263-000-D02-281"]}],"id":[{"id":"10.13039\/501100001381","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Signal Process."],"published-print":{"date-parts":[[2022]]},"DOI":"10.1109\/tsp.2022.3144939","type":"journal-article","created":{"date-parts":[[2022,1,25]],"date-time":"2022-01-25T20:29:45Z","timestamp":1643142585000},"page":"1072-1087","source":"Crossref","is-referenced-by-count":3,"title":["Tight Regret Bounds for Noisy Optimization of a Brownian Motion"],"prefix":"10.1109","volume":"70","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3212-6674","authenticated-orcid":false,"given":"Zexin","family":"Wang","sequence":"first","affiliation":[{"name":"Department of Mathematics, Imperial College London, London, U.K."}]},{"given":"Vincent Y. F.","family":"Tan","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering, Singapore"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1403-9160","authenticated-orcid":false,"given":"Jonathan","family":"Scarlett","sequence":"additional","affiliation":[{"name":"Department of Computer Science, Singapore"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1119\/1.12354"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1038\/s42003-018-0240-2"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.4324\/9780429086250"},{"key":"ref4","first-page":"3005","article-title":"Optimistic optimization of a Brownian","volume-title":"Proc. Adv. Neural Inf. Process. Syst.","author":"Grill","year":"2018"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1007\/BF00229303"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2012.03.068"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/j.jco.2016.11.002"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-009-0909-0"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2011.2182033"},{"key":"ref10","first-page":"4500","article-title":"Tight regret bounds for Bayesian optimization in one-dimension","volume-title":"Proc. Int. Conf. Mach. Learn.","author":"Scarlett","year":"2018"},{"key":"ref11","article-title":"Gradient descent for non-convex problems in modern machine learning","author":"Du","year":"2019"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/IROS.2012.6385653"},{"key":"ref13","article-title":"Freeze-thaw bayesian optimization","author":"Swersky","year":"2014"},{"key":"ref14","first-page":"273","article-title":"Regret bounds for Gaussian process bandit problems","volume-title":"Proc. Int. Conf. Artif. Intell. Statist.","author":"Grnewlder","year":"2010"},{"key":"ref15","first-page":"2809","article-title":"Bayesian optimization with exponential convergence","volume-title":"Proc. Adv. Neural Inf. Process. Syst.","author":"Kawaguchi","year":"2015"},{"key":"ref16","first-page":"783","article-title":"Optimistic optimization of a deterministic function without the knowledge of its smoothness","volume-title":"Proc. Adv. Neural Inf. Process. Syst.","author":"Munos","year":"2011"},{"key":"ref17","first-page":"762","article-title":"General parallel optimization a without metric","volume-title":"Proc. Algorithmic Learn. Theory","author":"Shang","year":"2019"},{"key":"ref18","first-page":"3","article-title":"On the complexity of bandit and derivative-free stochastic convex optimization","volume-title":"Proc. Conf. Learn. Theory","author":"Shamir","year":"2013"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2011.2154375"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-0302-2"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1017\/9781108571401"},{"key":"ref22","article-title":"Exponential regret bounds for Gaussian process bandits with deterministic observations","volume-title":"Proc. Int. Conf. Mach. Learn.","author":"de Freitas","year":"2012"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1214\/aop\/1176995895"},{"key":"ref24","article-title":"An introductory guide to Fanos inequality with applications in statistical estimation","author":"Scarlett","year":"2019"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1007\/s10959-019-00891-3"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-4015-8"},{"issue":"4","key":"ref27","first-page":"785","article-title":"Random walk and the Wiener process considered from a maximum point","volume":"28","author":"Denisov","year":"1983","journal-title":"Teor. Veroyatnost. i Primenen"}],"container-title":["IEEE Transactions on Signal Processing"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/78\/9675017\/09693244.pdf?arnumber=9693244","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,13]],"date-time":"2024-01-13T22:54:12Z","timestamp":1705186452000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9693244\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022]]},"references-count":27,"URL":"https:\/\/doi.org\/10.1109\/tsp.2022.3144939","relation":{},"ISSN":["1053-587X","1941-0476"],"issn-type":[{"value":"1053-587X","type":"print"},{"value":"1941-0476","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022]]}}}