{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,24]],"date-time":"2026-07-24T14:54:07Z","timestamp":1784904847455,"version":"3.55.0"},"reference-count":158,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"13","license":[{"start":{"date-parts":[[2017,7,1]],"date-time":"2017-07-01T00:00:00Z","timestamp":1498867200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/OAPA.html"},{"start":{"date-parts":[[2017,7,1]],"date-time":"2017-07-01T00:00:00Z","timestamp":1498867200000},"content-version":"am","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/OAPA.html"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["IIS-1247632"],"award-info":[{"award-number":["IIS-1247632"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["IIS-1447788"],"award-info":[{"award-number":["IIS-1447788"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["IIS-1247489"],"award-info":[{"award-number":["IIS-1247489"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"name":"KU Leuven Research Council: CoE","award":["EF\/05\/006"],"award-info":[{"award-number":["EF\/05\/006"]}]},{"name":"Optimization in Engineering (OPTEC)"},{"name":"C1 Project","award":["C16\/15\/059-nD"],"award-info":[{"award-number":["C16\/15\/059-nD"]}]},{"name":"F.W.O.","award":["G.0830.14N"],"award-info":[{"award-number":["G.0830.14N"]}]},{"name":"F.W.O.","award":["G.0881.14N"],"award-info":[{"award-number":["G.0881.14N"]}]},{"name":"Belgian Federal Science Policy Office: IUAP P7"},{"name":"DYSCO II, Dynamical systems, control and optimization","award":["20122017"],"award-info":[{"award-number":["20122017"]}]},{"name":"EU"},{"DOI":"10.13039\/501100000781","name":"European Research Council","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000781","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004963","name":"European Unions Seventh Framework Programme","doi-asserted-by":"publisher","award":["FP7\/2007-2013"],"award-info":[{"award-number":["FP7\/2007-2013"]}],"id":[{"id":"10.13039\/501100004963","id-type":"DOI","asserted-by":"publisher"}]},{"name":"ERC Advanced Grant BIOTENSORS","award":["339804"],"award-info":[{"award-number":["339804"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Signal Process."],"published-print":{"date-parts":[[2017,7,1]]},"DOI":"10.1109\/tsp.2017.2690524","type":"journal-article","created":{"date-parts":[[2017,4,3]],"date-time":"2017-04-03T20:07:41Z","timestamp":1491250061000},"page":"3551-3582","source":"Crossref","is-referenced-by-count":1343,"title":["Tensor Decomposition for Signal Processing and Machine Learning"],"prefix":"10.1109","volume":"65","author":[{"given":"Nicholas D.","family":"Sidiropoulos","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lieven","family":"De Lathauwer","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiao","family":"Fu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Kejun","family":"Huang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Evangelos E.","family":"Papalexakis","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Christos","family":"Faloutsos","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1137\/140970276"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1137\/110829180"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/TASSP.1986.1164935"},{"key":"ref32","first-page":"111","article-title":"Determination and proof of minimum uniqueness conditions for PARAFAC-1","volume":"22","author":"harshman","year":"1972","journal-title":"UCLA Working Papers Phonetics"},{"key":"ref31","first-page":"1","article-title":"Foundations of the PARAFAC procedure: Models and conditions for an &#x201C;explanatory&#x201D; multimodal factor analysis","volume":"16","author":"harshman","year":"1970","journal-title":"UCLA Working Papers Phonetics"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1016\/0196-6774(90)90014-6"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1137\/040608830"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2004.832022"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(77)90069-6"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1002\/cem.1204"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/drt069"},{"key":"ref27","volume":"128","author":"landsberg","year":"2012","journal-title":"Tensors Geometry and Applications"},{"key":"ref29","first-page":"201","article-title":"Polynomial interpolation in several variables","volume":"4","author":"alexander","year":"1995","journal-title":"J Algebraic Geometry"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1002\/0470012110"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2011.02.041"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1145\/2915921"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1002\/cem.1244"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1002\/1099-128X(200005\/06)14:3<285::AID-CEM584>3.0.CO;2-1"},{"key":"ref101","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2015.2454476"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1007\/s11336-008-9056-1"},{"key":"ref100","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1099-128X(199807\/08)12:4<223::AID-CEM511>3.3.CO;2-U"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2016.2532906"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1002\/1099-128X(200005\/06)14:3<229::AID-CEM587>3.0.CO;2-N"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479896305696"},{"key":"ref154","author":"bertsekas","year":"1999","journal-title":"Nonlinear Programming"},{"key":"ref153","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2016.2601291"},{"key":"ref156","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-1684(02)00314-6"},{"key":"ref155","doi-asserted-by":"publisher","DOI":"10.1016\/0165-1684(96)00088-6"},{"key":"ref150","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.2016.7472486"},{"key":"ref152","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.2016.7472416"},{"key":"ref151","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2016.2593688"},{"key":"ref146","doi-asserted-by":"publisher","DOI":"10.1109\/18.59929"},{"key":"ref147","doi-asserted-by":"publisher","DOI":"10.1109\/97.700921"},{"key":"ref148","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2009.2016831"},{"key":"ref149","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511804441"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1137\/060665336"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1137\/060655894"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2014.2329196"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2012.2210872"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1002\/9780470238004"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1145\/2512329"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479898346995"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479801394465"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(83)90041-1"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/TASL.2009.2031694"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TKDE.2008.112"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2010.2058802"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/78.824675"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/78.502327"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/78.852018"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1137\/110830034"},{"key":"ref157","author":"petersen","year":"2006","journal-title":"The Matrix Cookbook"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/280\/04625"},{"key":"ref158","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2013.2285514"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1090\/tran\/6762"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2006.08.010"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1137\/140964813"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1137\/140961389"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1137\/120877258"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2016.10.019"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2011.05.041"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1137\/130916084"},{"key":"ref127","article-title":"All-at-once optimization for coupled matrix and tensor factorizations","author":"acar","year":"2011","journal-title":"Proc KDD Workshop Mining Learn Graphs"},{"key":"ref126","doi-asserted-by":"publisher","DOI":"10.1145\/1864708.1864727"},{"key":"ref125","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611972801.19"},{"key":"ref124","doi-asserted-by":"publisher","DOI":"10.1137\/070697835"},{"key":"ref73","doi-asserted-by":"publisher","DOI":"10.1109\/JSTSP.2015.2400415"},{"key":"ref72","doi-asserted-by":"publisher","DOI":"10.1137\/110825765"},{"key":"ref129","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611973440.14"},{"key":"ref71","doi-asserted-by":"publisher","DOI":"10.1137\/110847275"},{"key":"ref128","doi-asserted-by":"publisher","DOI":"10.1016\/j.chemolab.2013.06.006"},{"key":"ref70","doi-asserted-by":"publisher","DOI":"10.1137\/080743354"},{"key":"ref76","doi-asserted-by":"publisher","DOI":"10.1137\/140956853"},{"key":"ref130","doi-asserted-by":"publisher","DOI":"10.1109\/ICDM.2010.127"},{"key":"ref77","doi-asserted-by":"publisher","DOI":"10.1137\/060676489"},{"key":"ref74","doi-asserted-by":"publisher","DOI":"10.1109\/JPROC.2015.2460697"},{"key":"ref75","article-title":"Parafac2: Mathematical and technical notes","volume":"22","author":"harshman","year":"1972","journal-title":"UCLA Working Papers Phonetics"},{"key":"ref133","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2006.884929"},{"key":"ref134","doi-asserted-by":"publisher","DOI":"10.1016\/j.patcog.2011.01.004"},{"key":"ref131","doi-asserted-by":"publisher","DOI":"10.1145\/2422436.2422439"},{"key":"ref78","doi-asserted-by":"publisher","DOI":"10.1137\/14097968X"},{"key":"ref132","first-page":"2643","article-title":"When are overcomplete topic models identifiable? Uniqueness of tensor Tucker decompositions with structured sparsity","volume":"16","author":"anandkumar","year":"2015","journal-title":"J Machine Learn Res"},{"key":"ref79","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2013.2269903"},{"key":"ref136","doi-asserted-by":"publisher","DOI":"10.1145\/2567948.2576950"},{"key":"ref135","article-title":"The TOPHITS model for higher-order web link analysis","author":"kolda","year":"2006","journal-title":"Proc of SDM 06 Workshop on Link Analysis Counterterrorism and Security"},{"key":"ref138","doi-asserted-by":"publisher","DOI":"10.1137\/060676489"},{"key":"ref137","doi-asserted-by":"publisher","DOI":"10.1016\/S0169-7439(00)00071-X"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2010.03.020"},{"key":"ref139","article-title":"Matlab tensor toolbox version 2.6","author":"bader","year":"2015"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2011.12.007"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(96)00301-1"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1007\/BF02293596"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1016\/S0169-7439(98)00011-2"},{"key":"ref140","article-title":"Tensorlab v3.0","author":"vervliet","year":"2016"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1109\/ACSSC.2016.7869679"},{"key":"ref141","doi-asserted-by":"publisher","DOI":"10.1002\/sapm192761164"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1137\/090752286"},{"key":"ref142","doi-asserted-by":"publisher","DOI":"10.1007\/BF02288739"},{"key":"ref67","doi-asserted-by":"publisher","DOI":"10.1137\/070690729"},{"key":"ref143","doi-asserted-by":"publisher","DOI":"10.1007\/BF02310791"},{"key":"ref68","doi-asserted-by":"publisher","DOI":"10.1137\/100805510"},{"key":"ref2","first-page":"256","author":"acar","year":"2005","journal-title":"Modeling and Multiway Analysis of Chatroom Tensors"},{"key":"ref144","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2002.1011195"},{"key":"ref69","doi-asserted-by":"publisher","DOI":"10.1002\/cem.1206"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/ICDM.2005.77"},{"key":"ref145","author":"kay","year":"1993","journal-title":"Fundamentals of Statistical Signal Processing Volume I Estimation Theory"},{"key":"ref109","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176344621"},{"key":"ref95","doi-asserted-by":"publisher","DOI":"10.1007\/s10589-015-9761-5"},{"key":"ref108","doi-asserted-by":"publisher","DOI":"10.1109\/78.887032"},{"key":"ref94","doi-asserted-by":"publisher","DOI":"10.1137\/06065577"},{"key":"ref107","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2012.2225052"},{"key":"ref93","doi-asserted-by":"publisher","DOI":"10.1137\/090763172"},{"key":"ref106","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2015.2469642"},{"key":"ref92","doi-asserted-by":"publisher","DOI":"10.1137\/090764827"},{"key":"ref105","first-page":"272","article-title":"Efficient projections onto the $l_1$-ball for learning in high dimensions","author":"duchi","year":"2008","journal-title":"Proc ACM Int Conf Mach Learn"},{"key":"ref91","doi-asserted-by":"publisher","DOI":"10.1016\/j.csda.2004.11.013"},{"key":"ref104","doi-asserted-by":"publisher","DOI":"10.1561\/2400000003"},{"key":"ref90","author":"nocedal","year":"2006","journal-title":"Numerical Optimization"},{"key":"ref103","doi-asserted-by":"publisher","DOI":"10.1561\/2200000016"},{"key":"ref102","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2016.2576427"},{"key":"ref111","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2005.850343"},{"key":"ref112","article-title":"Practical and computational aspects in chemometric data analysis","author":"tomasi","year":"2006"},{"key":"ref110","doi-asserted-by":"publisher","DOI":"10.1109\/78.942635"},{"key":"ref98","doi-asserted-by":"publisher","DOI":"10.1109\/JSTSP.2015.2503260"},{"key":"ref99","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-33460-3_39"},{"key":"ref96","doi-asserted-by":"publisher","DOI":"10.1016\/j.chemolab.2004.07.003"},{"key":"ref97","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611973440.13"},{"key":"ref10","first-page":"447","author":"vasilescu","year":"2002","journal-title":"Multilinear Analysis of Image Ensembles Tensorfaces"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2013.2297439"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-33460-3_39"},{"key":"ref13","first-page":"2773","article-title":"Tensor decompositions for learning latent variable models","volume":"15","author":"anandkumar","year":"2014","journal-title":"J Mach Learn Res"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1137\/07070111X"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2014.2298533"},{"key":"ref118","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2009.2016885"},{"key":"ref82","first-page":"1296","article-title":"DFacTo: Distributed factorization of tensors","author":"choi","year":"2014","journal-title":"Proc Adv Neural Inf Process Syst"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1002\/gamm.201310004"},{"key":"ref117","doi-asserted-by":"publisher","DOI":"10.1109\/97.905948"},{"key":"ref81","doi-asserted-by":"publisher","DOI":"10.1109\/ACSSC.2014.7094512"},{"key":"ref17","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-28027-6","volume":"42","author":"hackbusch","year":"2012","journal-title":"Tensor Spaces and Numerical Tensor Calculus"},{"key":"ref84","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2011.04.019"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2014.2329429"},{"key":"ref119","doi-asserted-by":"publisher","DOI":"10.1109\/78.554307"},{"key":"ref83","doi-asserted-by":"publisher","DOI":"10.1109\/IPDPS.2015.27"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/S0169-7439(97)00032-4"},{"key":"ref114","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2013.2245660"},{"key":"ref113","doi-asserted-by":"publisher","DOI":"10.1137\/100808034"},{"key":"ref116","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2013.2296172"},{"key":"ref80","doi-asserted-by":"publisher","DOI":"10.1145\/2339530.2339583"},{"key":"ref115","doi-asserted-by":"publisher","DOI":"10.1109\/78.890346"},{"key":"ref120","author":"comon","year":"2010","journal-title":"Handbook of Blind Source Separation Independent Component Analysis and Applications"},{"key":"ref89","doi-asserted-by":"publisher","DOI":"10.1137\/120868323"},{"key":"ref121","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2015.2464194"},{"key":"ref122","doi-asserted-by":"publisher","DOI":"10.1109\/18.923759"},{"key":"ref123","doi-asserted-by":"publisher","DOI":"10.1109\/78.942615"},{"key":"ref85","doi-asserted-by":"crossref","first-page":"210","DOI":"10.1137\/130939110","article-title":"On convergence of the maximum block improvement method","volume":"25","author":"zhening","year":"2015","journal-title":"SIAM J Optim"},{"key":"ref86","doi-asserted-by":"publisher","DOI":"10.1137\/120891009"},{"key":"ref87","doi-asserted-by":"publisher","DOI":"10.1137\/110843587"},{"key":"ref88","article-title":"On the convergence of alternating least squares optimisation in tensor format representations","author":"espig","year":"2015"}],"container-title":["IEEE Transactions on Signal Processing"],"original-title":[],"link":[{"URL":"http:\/\/ieeexplore.ieee.org\/ielaam\/78\/7912413\/7891546-aam.pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/78\/7912413\/07891546.pdf?arnumber=7891546","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,4,8]],"date-time":"2022-04-08T18:48:54Z","timestamp":1649443734000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7891546\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,7,1]]},"references-count":158,"journal-issue":{"issue":"13"},"URL":"https:\/\/doi.org\/10.1109\/tsp.2017.2690524","relation":{},"ISSN":["1053-587X","1941-0476"],"issn-type":[{"value":"1053-587X","type":"print"},{"value":"1941-0476","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,7,1]]}}}