{"id":"https://openalex.org/W2588438375","doi":"https://doi.org/10.1109/allerton.2016.7852250","title":"On unsupervised clustering under the union of tensor subspaces","display_name":"On unsupervised clustering under the union of tensor subspaces","publication_year":2016,"publication_date":"2016-09-01","ids":{"openalex":"https://openalex.org/W2588438375","doi":"https://doi.org/10.1109/allerton.2016.7852250","mag":"2588438375"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2016.7852250","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2016.7852250","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061122616","display_name":"Mohammadhossein Chaghazardi","orcid":null},"institutions":[{"id":"https://openalex.org/I121934306","display_name":"Tufts University","ror":"https://ror.org/05wvpxv85","country_code":"US","type":"education","lineage":["https://openalex.org/I121934306"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mohammadhossein Chaghazardi","raw_affiliation_strings":["Electrical and Computer Engineering Tufts University, Medford, MA"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Tufts University, Medford, MA","institution_ids":["https://openalex.org/I121934306"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004738943","display_name":"Shuchin Aeron","orcid":"https://orcid.org/0000-0002-1049-9795"},"institutions":[{"id":"https://openalex.org/I121934306","display_name":"Tufts University","ror":"https://ror.org/05wvpxv85","country_code":"US","type":"education","lineage":["https://openalex.org/I121934306"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shuchin Aeron","raw_affiliation_strings":["Electrical and Computer Engineering Tufts University, Medford, MA"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Tufts University, Medford, MA","institution_ids":["https://openalex.org/I121934306"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061122616"],"corresponding_institution_ids":["https://openalex.org/I121934306"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09105181,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"27","issue":null,"first_page":"336","last_page":"340"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10331","display_name":"Video Surveillance and Tracking Methods","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11512","display_name":"Anomaly Detection Techniques and Applications","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multilinear-map","display_name":"Multilinear map","score":0.9359055757522583},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.841323971748352},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.6359195709228516},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.5874857902526855},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.53612220287323},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.4845213294029236},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.46096110343933105},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4007464051246643},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3784797489643097},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.0983521044254303}],"concepts":[{"id":"https://openalex.org/C84392682","wikidata":"https://www.wikidata.org/wiki/Q1952404","display_name":"Multilinear map","level":2,"score":0.9359055757522583},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.841323971748352},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6359195709228516},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5874857902526855},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.53612220287323},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.4845213294029236},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.46096110343933105},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4007464051246643},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3784797489643097},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0983521044254303}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/allerton.2016.7852250","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2016.7852250","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Partnerships for the goals","id":"https://metadata.un.org/sdg/17","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W50417968","https://openalex.org/W1993962865","https://openalex.org/W2040329636","https://openalex.org/W2058256495","https://openalex.org/W2103537693","https://openalex.org/W2113055885","https://openalex.org/W2117553576","https://openalex.org/W2131335073","https://openalex.org/W2132014503","https://openalex.org/W2165874743","https://openalex.org/W2294644361","https://openalex.org/W2404961988","https://openalex.org/W2561426102","https://openalex.org/W2951854417","https://openalex.org/W2963542819","https://openalex.org/W4250657332","https://openalex.org/W4301495617","https://openalex.org/W6679591791","https://openalex.org/W6679903135","https://openalex.org/W6684578312","https://openalex.org/W6713555549","https://openalex.org/W6730771713"],"related_works":["https://openalex.org/W3100286349","https://openalex.org/W2896134808","https://openalex.org/W4289378085","https://openalex.org/W4294291164","https://openalex.org/W3172436493","https://openalex.org/W1887135636","https://openalex.org/W4287164812","https://openalex.org/W2386063599","https://openalex.org/W1975884855","https://openalex.org/W3213150849"],"abstract_inverted_index":{"In":[0,18,101],"this":[1,84,87,102],"paper":[2],"we":[3,20,89,104,133,160],"consider":[4],"the":[5,22,30,56,96,135,139,168],"problem":[6],"of":[7,13,25,47,58,138],"unsupervised":[8],"clustering":[9,136],"under":[10],"a":[11,42,44],"union":[12,24,57],"tensor":[14,45,59],"(multilinear)":[15],"subspaces":[16,26,31],"model.":[17,85],"particular":[19],"take":[21],"popular":[23],"model":[27,51,88],"and":[28,74,146],"endow":[29],"with":[32,128,152],"an":[33,91],"additional":[34],"algebraic":[35,170],"structure,":[36],"namely":[37],"that":[38,65,112,148],"each":[39],"subspace":[40],"is":[41,43,52,114,150],"product":[46],"subspaces.":[48,62],"The":[49],"resulting":[50],"referred":[53,93],"to":[54,94,119],"as":[55,72,95],"or":[60],"multilinear":[61],"We":[63],"show":[64,106,147],"several":[66,120,142],"real":[67],"world":[68],"data":[69,77,111,144],"sets":[70,78,145],"such":[71],"images":[73],"action":[75],"video":[76],"can":[79],"be":[80],"effectively":[81],"represented":[82],"using":[83,167],"Under":[86],"investigate":[90],"algorithm":[92,140],"Multilinear":[97],"Subspace":[98],"Clustering":[99],"(MSC).":[100],"context":[103],"first":[105],"by":[107],"simulations":[108],"on":[109,141,157],"synthetic":[110],"MSC":[113,149],"computationally":[115],"more":[116],"efficient":[117],"compared":[118],"existing":[121],"methods":[122],"indicating":[123],"its":[124],"utility":[125],"in":[126,166],"dealing":[127],"high":[129],"dimensional":[130],"data.":[131],"Further":[132],"compare":[134],"performance":[137],"real-world":[143],"competitive":[151],"current":[153],"state-or-art":[154],"methods.":[155],"Based":[156],"these":[158],"results":[159],"point":[161],"out":[162],"future":[163],"research":[164],"directions":[165],"multilinear/tensor":[169],"framework":[171],"for":[172],"big-data":[173],"processing.":[174]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
