{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,24]],"date-time":"2026-06-24T14:54:59Z","timestamp":1782312899043,"version":"3.54.5"},"reference-count":57,"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\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11971466"],"award-info":[{"award-number":["11971466"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11991020"],"award-info":[{"award-number":["11991020"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12125108"],"award-info":[{"award-number":["12125108"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11991021"],"award-info":[{"award-number":["11991021"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12288201"],"award-info":[{"award-number":["12288201"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Key Research Program of Frontier Sciences"},{"DOI":"10.13039\/501100002367","name":"Chinese Academy of Sciences","doi-asserted-by":"publisher","award":["ZDBS-LY-7022"],"award-info":[{"award-number":["ZDBS-LY-7022"]}],"id":[{"id":"10.13039\/501100002367","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.2022.3182883","type":"journal-article","created":{"date-parts":[[2022,6,17]],"date-time":"2022-06-17T19:26:22Z","timestamp":1655493982000},"page":"3029-3041","source":"Crossref","is-referenced-by-count":20,"title":["Decentralized Optimization Over the Stiefel Manifold by an Approximate Augmented Lagrangian Function"],"prefix":"10.1109","volume":"70","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0651-6262","authenticated-orcid":false,"given":"Lei","family":"Wang","sequence":"first","affiliation":[{"name":"State Key Laboratory of Scientific and Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, University of Chinese Academy of Sciences, Beijing, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5705-0805","authenticated-orcid":false,"given":"Xin","family":"Liu","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Scientific and Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, University of Chinese Academy of Sciences, Beijing, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01199559"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcss.2007.04.014"},{"key":"ref3","first-page":"4465","article-title":"Communication-efficient distributed PCA by Riemannian optimization","volume-title":"Proc. Int. Conf. Mach. Learn.","author":"Huang","year":"2020"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2014.2373334"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.5555\/3045390.3045509"},{"key":"ref6","first-page":"3570","article-title":"On orthogonality and learning recurrent networks with long term dependencies","volume-title":"Proc. Int. Conf. Mach. Learn.","author":"Vorontsov","year":"2017"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1609\/aaai.v32i1.11768"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2016.07.037"},{"issue":"165","key":"ref9","first-page":"1","article-title":"Complete dictionary learning via $\\ell _{4}$-norm maximization over the orthogonal group","volume":"21","author":"Zhai","year":"2020","journal-title":"J. Mach. Learn. Res."},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/78.984753"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2007.908999"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1515\/9781400830244"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479895290954"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1007\/s10589-015-9801-1"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/s10589-016-9883-4"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-012-0584-1"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-014-0816-7"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1137\/17M1142478"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1137\/18M121112X"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-005-0179-9"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1137\/16M1098759"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.4208\/csiam-am.SO-2020-0008"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1137\/18M1221679"},{"key":"ref24","article-title":"A penalty-free infeasible approach for a class of nonsmooth optimization problems over the Stiefel manifold","author":"Xiao","year":"2021"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1080\/10556788.2020.1852236"},{"key":"ref26","article-title":"Solving optimization problems over the Stiefel manifold by smooth exact penalty function","author":"Xiao","year":"2021"},{"key":"ref27","article-title":"A distributed and secure algorithm for computing dominant SVD based on projection splitting","author":"Wang","year":"2020"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1007\/s10589-023-00481-4"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2008.2009515"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1137\/130943170"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2018.2818081"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1137\/14096668X"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2015.7402509"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/TCNS.2017.2698261"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1137\/16M1084316"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-010-9737-7"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/TSIPN.2016.2524588"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-018-01357-w"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.13140\/RG.2.2.25204.14729"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-019-01365-4"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2014.2367458"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2015.2436358"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2019.2907258"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2015.2465300"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.2019.8683095"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2021.108408"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2022.3229635"},{"issue":"238","key":"ref48","first-page":"1","article-title":"DeEPCA: Decentralized exact PCA with linear convergence rate","volume":"22","author":"Ye","year":"2021","journal-title":"J. Mach. Learn. Res."},{"key":"ref49","first-page":"1594","article-title":"Decentralized Riemannian gradient descent on the Stiefel manifold","volume-title":"Proc. 38th Int. Conf. Mach. Learn.","author":"Chen","year":"2021"},{"key":"ref50","first-page":"1791","article-title":"Accelerating gossip SGD with periodic global averaging","volume-title":"Proc. 38th Int. Conf. Mach. Learn.","author":"Chen","year":"2021"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2004.02.022"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2005.1406483"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1137\/18M121784X"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1007\/s11432-020-3256-x"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1016\/0893-6080(89)90044-0"},{"issue":"2","key":"ref56","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1023\/A:1009953814988","article-title":"Automating the construction of internet portals with machine learning","volume":"3","author":"McCallum","year":"2000","journal-title":"Inf. Retrieval"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1137\/19M1270872"}],"container-title":["IEEE Transactions on Signal Processing"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/78\/9675017\/09798866.pdf?arnumber=9798866","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,1]],"date-time":"2024-02-01T04:30:32Z","timestamp":1706761832000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9798866\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022]]},"references-count":57,"URL":"https:\/\/doi.org\/10.1109\/tsp.2022.3182883","relation":{},"ISSN":["1053-587X","1941-0476"],"issn-type":[{"value":"1053-587X","type":"print"},{"value":"1941-0476","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022]]}}}