{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T18:40:50Z","timestamp":1776883250841,"version":"3.51.2"},"reference-count":52,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"8","license":[{"start":{"date-parts":[[2020,8,1]],"date-time":"2020-08-01T00:00:00Z","timestamp":1596240000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2020,8,1]],"date-time":"2020-08-01T00:00:00Z","timestamp":1596240000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2020,8,1]],"date-time":"2020-08-01T00:00:00Z","timestamp":1596240000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"name":"INDAM through the Membership of the Research Group GNSAGA"},{"DOI":"10.13039\/501100003725","name":"Korea Research Fellowship Program through the National Research Foundation of Korea","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100003725","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003621","name":"Ministry of Science and ICT","doi-asserted-by":"publisher","award":["2019H1D3A1A01102728"],"award-info":[{"award-number":["2019H1D3A1A01102728"]}],"id":[{"id":"10.13039\/501100003621","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100007219","name":"Natural Science Foundation of Shanghai","doi-asserted-by":"publisher","award":["19ZR1434000"],"award-info":[{"award-number":["19ZR1434000"]}],"id":[{"id":"10.13039\/100007219","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Nature Science Foundation of China","doi-asserted-by":"publisher","award":["61950410612"],"award-info":[{"award-number":["61950410612"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Nature Science Foundation of China","doi-asserted-by":"publisher","award":["61601290"],"award-info":[{"award-number":["61601290"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2020,8]]},"DOI":"10.1109\/tit.2020.2977166","type":"journal-article","created":{"date-parts":[[2020,2,28]],"date-time":"2020-02-28T23:11:18Z","timestamp":1582931478000},"page":"5130-5144","source":"Crossref","is-referenced-by-count":31,"title":["An Algebraic-Geometric Approach for Linear Regression Without Correspondences"],"prefix":"10.1109","volume":"66","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9158-3330","authenticated-orcid":false,"given":"Manolis C.","family":"Tsakiris","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Liangzu","family":"Peng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5897-9985","authenticated-orcid":false,"given":"Aldo","family":"Conca","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6727-6608","authenticated-orcid":false,"given":"Laurent","family":"Kneip","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1418-7465","authenticated-orcid":false,"given":"Yuanming","family":"Shi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hayoung","family":"Choi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-3849-0"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.2017.7953021"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2017.2786276"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2011.2165821"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2017.8006567"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1137\/0804021"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.2019.8682683"},{"key":"ref36","article-title":"Eigenspace conditions for homomorphic sensing","author":"tsakiris","year":"2018","journal-title":"arXiv 1812 07966"},{"key":"ref35","first-page":"6335","article-title":"Homomorphic sensing","author":"tsakiris","year":"2019","journal-title":"Proceedings 36th Int Conf Mach Learn"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2019.2908505"},{"key":"ref28","article-title":"Linear regression with shuffled labels","author":"abid","year":"2017","journal-title":"arXiv 1705 01342"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.2307\/276978"},{"key":"ref29","article-title":"Stochastic EM for shuffled linear regression","author":"abid","year":"2018","journal-title":"arXiv 1804 00681"},{"key":"ref2","author":"gauss","year":"1809","journal-title":"Theoria Motus Corporum Coelestium in Sectionibus Conicis Solem Ambientum"},{"key":"ref1","author":"legendre","year":"1805","journal-title":"Nouvelles Méthodes Pour La Détermination Des Orbites Des Comètes"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1198\/016214504000001277"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1101\/gr.9.9.868"},{"key":"ref21","article-title":"Timing channels with multiple identical quanta","author":"rose","year":"2012","journal-title":"arXiv 1208 1070"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/SP.2008.33"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2014.6875147"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1962.1057717"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/INFCOM.2009.5062142"},{"key":"ref50","author":"bates","year":"2013","journal-title":"Bertini Software for numerical algebraic geometry"},{"key":"ref51","author":"kneip","year":"2015","journal-title":"Polyjam"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-88690-7_23"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2018.2809002"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2018.8437552"},{"key":"ref40","author":"matsumura","year":"1989","journal-title":"Commutative Ring Theory"},{"key":"ref12","first-page":"871","author":"thrun","year":"2008","journal-title":"Simultaneous Localization and Mapping[D]"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2013.2247599"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2012.2232346"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2019.2933650"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1023\/B:VISI.0000025800.10423.1f"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/ICCV.2009.5459318"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1214\/18-EJS1498"},{"key":"ref19","article-title":"A two-stage approach to multivariate linear regression with sparsely mismatched data","author":"slawski","year":"2019","journal-title":"arXiv 1907 07148"},{"key":"ref4","first-page":"3261","article-title":"Self scaled regularized robust regression","author":"wang","year":"2015","journal-title":"Proc IEEE Conf Comput Vis Pattern Recognit (CVPR)"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1198\/004017005000000166"},{"key":"ref6","first-page":"1","article-title":"Dual principal component pursuit","volume":"19","author":"tsakiris","year":"2018","journal-title":"J Mach Learn Res"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/JPROC.2018.2853141"},{"key":"ref8","first-page":"1531","article-title":"Linear regression without correspondence","author":"hsu","year":"2017","journal-title":"Proc Adv Neural Inf Process Syst (NIPS)"},{"key":"ref7","doi-asserted-by":"crossref","DOI":"10.1002\/0470010940","author":"maronna","year":"2006","journal-title":"Robust Statistics Theory and Methods"},{"key":"ref49","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1016\/j.jsc.2015.12.001","article-title":"On the complexity of computing Gröbner bases for weighted homogeneous systems","volume":"76","author":"faugere","year":"2016","journal-title":"J Symbolic Comput"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2017.2776217"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-85729-106-6"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-007-1092-4_2"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2008.03.004"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.4171\/RSMUP\/121-11"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1137\/16M1083451"},{"key":"ref41","author":"eisenbud","year":"1994","journal-title":"Commutative Algebra With a View Toward Algebraic Geometry"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-35651-8"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2017.2678477"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/9141502\/09018107.pdf?arnumber=9018107","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,4,27]],"date-time":"2022-04-27T17:22:45Z","timestamp":1651080165000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9018107\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,8]]},"references-count":52,"journal-issue":{"issue":"8"},"URL":"https:\/\/doi.org\/10.1109\/tit.2020.2977166","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,8]]}}}