{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,18]],"date-time":"2026-09-18T08:33:04Z","timestamp":1789720384427,"version":"4.0.1"},"reference-count":43,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"6","license":[{"start":{"date-parts":[[2023,6,1]],"date-time":"2023-06-01T00:00:00Z","timestamp":1685577600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2023,6,1]],"date-time":"2023-06-01T00:00:00Z","timestamp":1685577600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2023,6,1]],"date-time":"2023-06-01T00:00:00Z","timestamp":1685577600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62171212"],"award-info":[{"award-number":["62171212"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Guangdong Provincial Key Laboratory","award":["2019B121203002"],"award-info":[{"award-number":["2019B121203002"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2023,6]]},"DOI":"10.1109\/tit.2023.3239955","type":"journal-article","created":{"date-parts":[[2023,1,26]],"date-time":"2023-01-26T19:15:58Z","timestamp":1674760558000},"page":"3460-3492","source":"Crossref","is-referenced-by-count":24,"title":["Bregman Divergence Based Em Algorithm and its Application to Classical and Quantum Rate Distortion Theory"],"prefix":"10.1109","volume":"69","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3104-1000","authenticated-orcid":false,"given":"Masahito","family":"Hayashi","sequence":"first","affiliation":[{"name":"Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology, Nanshan, Shenzhen, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT45174.2021.9518240"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.110.080501"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2002.1003843"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1214\/15-AOS1420"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-49725-8"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611974997"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2012.2215575"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-45241-8"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.3390\/e22040460"},{"key":"ref30","first-page":"601","article-title":"The exponential family of Markov chains and its information geometry","author":"nagaoka","year":"2005","journal-title":"Proc 28th Symp Inf Theory Appl (SITA)"},{"key":"ref11","first-page":"846","article-title":"On the global convergence property of extended Arimoto-Blahut algorithm","volume":"j91 a","author":"yasui","year":"2008","journal-title":"EICE Trans Fundamentals"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2016.2530084"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2005.859248"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1214\/16-AAP1216"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1007\/s10463-006-0097-x"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1016\/0893-6080(95)00003-8"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.1998.708959"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-012-0629-5"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511804441"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1137\/080716542"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2007.4557344"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/ITW.2004.1405276"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2019.8849608"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2016.2636847"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2020.3034471"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1007\/s41884-020-00031-5"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2048452"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-8853-9"},{"key":"ref41","first-page":"372","article-title":"A method for solving a convex programming problem with convergence rate O(1\/k2)","volume":"27","author":"nesterov","year":"1983","journal-title":"Sov Math Doklady"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2015.2503755"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2015.2401002"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-018-1284-2"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT44484.2020.9174109"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1983.1056723"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/18.212294"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2009.2030485"},{"key":"ref7","author":"amari","year":"2000","journal-title":"Methods of Information Geometry"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1974.1055146"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/72.125867"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1016\/j.csda.2020.107159"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1972.1054753"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1972.1054855"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623403427823"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/10130037\/10026299.pdf?arnumber=10026299","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,12]],"date-time":"2023-06-12T18:02:44Z","timestamp":1686592964000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/10026299\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,6]]},"references-count":43,"journal-issue":{"issue":"6"},"URL":"https:\/\/doi.org\/10.1109\/tit.2023.3239955","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,6]]}}}