{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,23]],"date-time":"2026-07-23T15:55:53Z","timestamp":1784822153744,"version":"3.55.0"},"reference-count":138,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"12","license":[{"start":{"date-parts":[[2022,12,1]],"date-time":"2022-12-01T00:00:00Z","timestamp":1669852800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2022,12,1]],"date-time":"2022-12-01T00:00:00Z","timestamp":1669852800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2022,12,1]],"date-time":"2022-12-01T00:00:00Z","timestamp":1669852800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"name":"Macau Science and Technology Fund","award":["FDCT 0079\/2020\/A2"],"award-info":[{"award-number":["FDCT 0079\/2020\/A2"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2022,12]]},"DOI":"10.1109\/tit.2022.3187919","type":"journal-article","created":{"date-parts":[[2022,7,4]],"date-time":"2022-07-04T20:06:04Z","timestamp":1656965164000},"page":"8092-8120","source":"Crossref","is-referenced-by-count":8,"title":["The Eigenvectors of Single-Spiked Complex Wishart Matrices: Finite and Asymptotic Analyses"],"prefix":"10.1109","volume":"68","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7307-9264","authenticated-orcid":false,"given":"Prathapasinghe","family":"Dharmawansa","sequence":"first","affiliation":[{"name":"Department of Electronic and Telecommunication Engineering, University of Moratuwa, Moratuwa, Sri Lanka"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0997-332X","authenticated-orcid":false,"given":"Pasan","family":"Dissanayake","sequence":"additional","affiliation":[{"name":"Department of Electronic and Telecommunication Engineering, University of Moratuwa, Moratuwa, Sri Lanka"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yang","family":"Chen","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science and Technology, University of Macau, Macau, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/TAES.2017.2730998"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/JOE.2013.2251538"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2014.2323359"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2014.2311661"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2021.3055075"},{"key":"ref30","article-title":"When are the most informative components for inference also the principal components?","author":"rao nadakuditi","year":"2013","journal-title":"arXiv 1302 1232"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1121\/1.4877771"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmva.2021.104796"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1137\/20M1319577"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1214\/20-AOS1960"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1214\/08-AOS618"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1007\/s00440-010-0298-3"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmva.2013.03.005"},{"key":"ref20","article-title":"Optimal covariance estimation for condition number loss in the spiked model","author":"donoho","year":"2018","journal-title":"arXiv 1810 07403"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2016.2616132"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1209\/0295-5075\/112\/50001"},{"key":"ref24","first-page":"1","article-title":"Optimal estimation of low-rank factors via feature level data fusion of multiplex signal systems","volume":"34","author":"li","year":"2021","journal-title":"IEEE Trans Knowl Data Eng"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2017.2653801"},{"key":"ref101","article-title":"Spiked singular values and vectors under extreme aspect ratios","author":"feldman","year":"2021","journal-title":"arXiv 2104 15127"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2012.2218572"},{"key":"ref100","doi-asserted-by":"publisher","DOI":"10.1090\/bull\/1722"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2020.2981910"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1111\/rssb.12228"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2015.2450722"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1137\/0609045"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-0661-8"},{"key":"ref57","author":"anderson","year":"2010","journal-title":"An Introduction to Random Matrices"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1098\/rsta.2009.0159"},{"key":"ref55","volume":"197","author":"muirhead","year":"2009","journal-title":"Aspects of Multivariate Statistical Theory"},{"key":"ref54","author":"anderson","year":"1958","journal-title":"An Introduction to Multivariate Statistical Analysis"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1137\/15M1021106"},{"key":"ref52","first-page":"1","article-title":"Iterative Hessian sketch: Fast and accurate solution approximation for constrained least-squares","volume":"17","author":"pilanci","year":"2016","journal-title":"J Mach Learn Res"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1109\/RADAR.2017.7944323"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1214\/19-AOS1832"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1007\/s00440-015-0616-x"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1214\/16-AOS1487"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1214\/21-AOS2143"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/78.317859"},{"key":"ref49","first-page":"3608","article-title":"Sketched ridge regression: Optimization perspective, statistical perspective, and model averaging","volume":"70","author":"wang","year":"2017","journal-title":"Proc 34th Int Conf Mach Learn (ICML)"},{"key":"ref7","author":"van trees","year":"2004","journal-title":"Optimum Array Processing Part IV of Detection Estimation and Modulation Theory"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2018.2865626"},{"key":"ref46","first-page":"1","article-title":"A statistical perspective on randomized sketching for ordinary least-squares","volume":"17","author":"raskutti","year":"2016","journal-title":"J Mach Learn Res"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1137\/090771806"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1145\/1109557.1109682"},{"key":"ref47","first-page":"1","article-title":"Ridge regression: Structure, cross-validation, and sketching","author":"liu","year":"2020","journal-title":"Proc 8th Int Conf Learn Represent (ICLR)"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/RADAR.2015.7131264"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/SSP.2016.7551754"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1137\/100804139"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1137\/080736417"},{"key":"ref127","author":"van der vaart","year":"2000","journal-title":"Asymptotic Statistics"},{"key":"ref126","doi-asserted-by":"publisher","DOI":"10.1137\/110843423"},{"key":"ref125","volume":"1","author":"erd\u00e9lyi","year":"1953","journal-title":"Higher Transcendental Functions"},{"key":"ref124","author":"gradshteyn","year":"2007","journal-title":"Table of Integrals Series and Products"},{"key":"ref73","doi-asserted-by":"crossref","first-page":"1447","DOI":"10.3982\/ECTA6964","article-title":"Testing hypotheses about the number of factors in large factor models","volume":"77","author":"onatski","year":"2009","journal-title":"Econometrica"},{"key":"ref72","doi-asserted-by":"publisher","DOI":"10.1214\/11-AOS944"},{"key":"ref129","doi-asserted-by":"publisher","DOI":"10.1214\/18-AOS1697"},{"key":"ref71","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2017.2695601"},{"key":"ref128","doi-asserted-by":"publisher","DOI":"10.1214\/13-AOS1100"},{"key":"ref70","doi-asserted-by":"publisher","DOI":"10.1561\/0100000001"},{"key":"ref76","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1009210544"},{"key":"ref130","doi-asserted-by":"publisher","DOI":"10.1214\/16-AOS1514"},{"key":"ref77","doi-asserted-by":"publisher","DOI":"10.1214\/009117905000000233"},{"key":"ref74","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.2021.1933497"},{"key":"ref75","doi-asserted-by":"publisher","DOI":"10.1214\/13-AOS1181"},{"key":"ref133","volume":"1","author":"bateman","year":"1954","journal-title":"Tables of Integral Transforms"},{"key":"ref134","first-page":"431","article-title":"Beitrag zur theorie der konfluenten hypergeometrischen funktionen von mehreren ver&#x00E4;nderlichen","volume":"146","author":"erd\u00e9lyi","year":"1937","journal-title":"H&#x00F6;lder-Pichler-Tempsky Komm"},{"key":"ref131","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2003.817437"},{"key":"ref78","doi-asserted-by":"publisher","DOI":"10.1007\/BF02100489"},{"key":"ref132","doi-asserted-by":"publisher","DOI":"10.1002\/sta4.58"},{"key":"ref79","doi-asserted-by":"publisher","DOI":"10.1007\/BF02099545"},{"key":"ref136","first-page":"65","article-title":"On the moments of traces of two matrices in three situations for complex multivariate normal populations","volume":"32","author":"khatri","year":"1970","journal-title":"Sankhy?"},{"key":"ref135","author":"abramowitz","year":"1972","journal-title":"Handbook of Mathematical Functions with Formulas Graphs and Mathematical Tables"},{"key":"ref138","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2022.3180286"},{"key":"ref137","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmva.2016.03.003"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1016\/0047-259X(84)90054-X"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1214\/aop\/1176990741"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1016\/0047-259X(89)90084-5"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.5506\/APhysPolB.51.1687"},{"key":"ref64","author":"mehta","year":"2004","journal-title":"Random Matrices"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1515\/9781400835416"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1017\/9781108768900"},{"key":"ref67","author":"akemann","year":"2011","journal-title":"The Oxford Handbook of Random Matrix Theory"},{"key":"ref68","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511994746"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1016\/j.aim.2011.02.007"},{"key":"ref69","doi-asserted-by":"crossref","first-page":"585","DOI":"10.1002\/ett.4460100604","article-title":"Capacity of multi-antenna Gaussian channels","volume":"10","author":"telatar","year":"1999","journal-title":"Eur Trans Telecommun"},{"key":"ref1","first-page":"1617","article-title":"Asymptotics of sample eigenstructure for a large dimensional spiked covariance model","volume":"17","author":"paul","year":"2007","journal-title":"Statist Sinica"},{"key":"ref109","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1065705118"},{"key":"ref95","doi-asserted-by":"publisher","DOI":"10.1142\/S2010326311500018"},{"key":"ref108","doi-asserted-by":"publisher","DOI":"10.1214\/07-AAP454"},{"key":"ref94","doi-asserted-by":"publisher","DOI":"10.1007\/s00440-011-0407-y"},{"key":"ref107","doi-asserted-by":"publisher","DOI":"10.1088\/1742-5468\/2011\/05\/P05020"},{"key":"ref93","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-016-2627-6"},{"key":"ref106","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/47\/7\/075004"},{"key":"ref92","doi-asserted-by":"publisher","DOI":"10.3150\/19-BEJ1129"},{"key":"ref105","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.111.094101"},{"key":"ref91","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-92420-5_4"},{"key":"ref104","doi-asserted-by":"publisher","DOI":"10.1007\/s10955-012-0417-x"},{"key":"ref90","doi-asserted-by":"crossref","first-page":"120","DOI":"10.1016\/j.jmva.2012.04.019","article-title":"The singular values and vectors of low rank perturbations of large rectangular random matrices","volume":"111","author":"benaych-georges","year":"2012","journal-title":"J Multivariate Anal"},{"key":"ref103","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmva.2019.05.009"},{"key":"ref102","first-page":"181","article-title":"Roy&#x2019;s largest root test under rank-one alternatives","volume":"104","author":"johnstone","year":"2017","journal-title":"Biometrika"},{"key":"ref111","doi-asserted-by":"publisher","DOI":"10.1109\/SSP.2005.1628747"},{"key":"ref112","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2003.817465"},{"key":"ref110","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2005.04.009"},{"key":"ref98","doi-asserted-by":"publisher","DOI":"10.30757\/ALEA.v18-07"},{"key":"ref99","article-title":"Principal components of spiked covariance matrices in the supercritical regime","author":"bao","year":"2019","journal-title":"arXiv 1907 12251"},{"key":"ref96","doi-asserted-by":"publisher","DOI":"10.1007\/s00440-020-01018-0"},{"key":"ref97","article-title":"High dimensional normality of noisy eigenvectors","author":"marcinek","year":"2020","journal-title":"arXiv 2005 08425"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1049\/el.2015.0263"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1049\/el.2019.1337"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/JPROC.2018.2846730"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1198\/jasa.2009.0121"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/JPROC.2018.2846588"},{"key":"ref15","first-page":"1","article-title":"Sparse quantized spectral clustering","author":"liao","year":"2021","journal-title":"Proc 9th Int Conf Learn Represent (ICLR)"},{"key":"ref118","doi-asserted-by":"crossref","DOI":"10.1214\/lnms\/1215465457","volume":"4","author":"takemura","year":"1984","journal-title":"Zonal Polynomials"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2008.921729"},{"key":"ref82","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.1988.197129"},{"key":"ref117","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177703550"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2021.3112821"},{"key":"ref81","doi-asserted-by":"publisher","DOI":"10.1109\/78.370627"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT45174.2021.9517724"},{"key":"ref84","doi-asserted-by":"publisher","DOI":"10.1214\/15-AOP1033"},{"key":"ref119","doi-asserted-by":"publisher","DOI":"10.2307\/2372387"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1214\/17-AOS1601"},{"key":"ref83","doi-asserted-by":"publisher","DOI":"10.1016\/j.jspi.2013.09.005"},{"key":"ref114","doi-asserted-by":"publisher","DOI":"10.1006\/jmva.1997.1689"},{"key":"ref113","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2003.817472"},{"key":"ref116","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176325375"},{"key":"ref80","first-page":"507","article-title":"Distribution of eigenvalues for some sets of random matrices","volume":"114","author":"marchenko","year":"1967","journal-title":"Matematicheskii Sbornik"},{"key":"ref115","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176349154"},{"key":"ref120","doi-asserted-by":"publisher","DOI":"10.1063\/1.524438"},{"key":"ref89","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.75.016101"},{"key":"ref121","doi-asserted-by":"publisher","DOI":"10.1142\/S2010326313500111"},{"key":"ref122","article-title":"Rank 1 perturbations in random matrix theory&#x2014;A review of exact results","author":"forrester","year":"2022","journal-title":"arXiv 2201 00324"},{"key":"ref123","author":"szeg\u00f6","year":"1975","journal-title":"Orthogonal Polynomials"},{"key":"ref85","doi-asserted-by":"publisher","DOI":"10.1007\/s00440-012-0443-2"},{"key":"ref86","doi-asserted-by":"publisher","DOI":"10.1007\/s00440-005-0466-z"},{"key":"ref87","doi-asserted-by":"publisher","DOI":"10.1109\/JSTSP.2009.2038310"},{"key":"ref88","doi-asserted-by":"publisher","DOI":"10.1007\/s00440-021-01062-4"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/9961124\/09814080.pdf?arnumber=9814080","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,24]],"date-time":"2023-11-24T04:48:13Z","timestamp":1700801293000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9814080\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,12]]},"references-count":138,"journal-issue":{"issue":"12"},"URL":"https:\/\/doi.org\/10.1109\/tit.2022.3187919","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,12]]}}}