{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,27]],"date-time":"2025-10-27T18:02:07Z","timestamp":1761588127398,"version":"build-2065373602"},"reference-count":54,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"12","license":[{"start":{"date-parts":[[2023,12,1]],"date-time":"2023-12-01T00:00:00Z","timestamp":1701388800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/legalcode"}],"funder":[{"name":"Starting Grant from the Department of Statistics, University of Illinois at Urbana\u2013Champaign"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2023,12]]},"DOI":"10.1109\/tit.2023.3309920","type":"journal-article","created":{"date-parts":[[2023,8,30]],"date-time":"2023-08-30T13:21:44Z","timestamp":1693401704000},"page":"7867-7886","source":"Crossref","is-referenced-by-count":1,"title":["A Few Interactions Improve Distributed Nonparametric Estimation, Optimally"],"prefix":"10.1109","volume":"69","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5637-5264","authenticated-orcid":false,"given":"Jingbo","family":"Liu","sequence":"first","affiliation":[{"name":"Department of Statistics and the Department of Electrical and Computer Engineering, University of Illinois at Urbana&#x2013;Champaign, Champaign, IL, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref1","first-page":"26754","article-title":"Optimal rates for nonparametric density estimation under communication constraints","volume-title":"Proc. Adv. Neural Inf. Process. Syst.","volume":"34","author":"Acharya"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2020.3028439"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176347496"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1986.1057194"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1214\/aop\/1176995937"},{"key":"ref6","article-title":"On maximal correlation, hypercontractivity, and the data processing inequality studied by erkip and cover","author":"Anantharam","year":"2013","journal-title":"arXiv:1304.6133"},{"issue":"1","key":"ref7","first-page":"9583","article-title":"Lower bounds for learning distributions under communication constraints via Fisher information","volume":"21","author":"Barnes","year":"2019","journal-title":"J. Mach. Learn. Res."},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1214\/17-AOS1587"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/FOCS.2011.86"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1145\/2897518.2897582"},{"key":"ref11","article-title":"Distributed Gaussian mean estimation under communication constraints: Optimal rates and communication-efficient algorithms","author":"Cai","year":"2020","journal-title":"arXiv:2001.08877"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1137\/120861072"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/SFCS.2001.959901"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1002\/0471200611"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1214\/aop\/1176996454"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/Allerton.2013.6736718"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1975.1055349"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1561\/9781680837896"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1145\/3313276.3316332"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2019.8849426"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2018.8437818"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/tit.2021.3108952"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.1965.15.153"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/SFCS.2003.1238202"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1985.1057118"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1016\/s0065-2458(08)60342-3"},{"article-title":"Information theory from a functional viewpoint","year":"2018","author":"Liu","key":"ref27"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/CISS53076.2022.9751150"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT50566.2022.9834454"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2016.7541458"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2016.7541833"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2017.2746104"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2011.2161916"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0190(91)90157-D"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1145\/103418.103463"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/18.57210"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1007\/s00454-019-00134-6"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2018.8437584"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2016.2603151"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.2307\/2314570"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176345206"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611975482.112"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2019.2946364"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1007\/b13794"},{"key":"ref45","first-page":"2503","article-title":"Efficient interpolation of density estimators","volume-title":"Proc. Int. Conf. Artif. Intell. Statist.","author":"Turner"},{"key":"ref46","first-page":"2512","article-title":"A statistical perspective on coreset density estimation","volume-title":"Proc. Int. Conf. Artif. Intell. Statist.","author":"Turner"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2013.2264355"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2013.6620744"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1145\/3298981"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1145\/800135.804414"},{"key":"ref51","first-page":"423","volume-title":"Festschrift for Lucien Le Cam","author":"Yu","year":"1996"},{"key":"ref52","first-page":"2328","article-title":"Information-theoretic lower bounds for distributed statistical estimation with communication constraints","volume-title":"Proc. NIPS","author":"Zhang"},{"key":"ref53","first-page":"6009","article-title":"Distributed nonparametric regression under communication constraints","volume-title":"Proc. Int. Conf. Mach. Learn.","author":"Zhu"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1093\/imaiai\/iax007"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/10328924\/10234708.pdf?arnumber=10234708","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,27]],"date-time":"2025-10-27T17:57:23Z","timestamp":1761587843000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/10234708\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,12]]},"references-count":54,"journal-issue":{"issue":"12"},"URL":"https:\/\/doi.org\/10.1109\/tit.2023.3309920","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"type":"print","value":"0018-9448"},{"type":"electronic","value":"1557-9654"}],"subject":[],"published":{"date-parts":[[2023,12]]}}}