{"id":"https://openalex.org/W3005990752","doi":"https://doi.org/10.1137/18m1203626","title":"Generalized Canonical Polyadic Tensor Decomposition","display_name":"Generalized Canonical Polyadic Tensor Decomposition","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3005990752","doi":"https://doi.org/10.1137/18m1203626","mag":"3005990752"},"language":"en","primary_location":{"id":"doi:10.1137/18m1203626","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1203626","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1808.07452","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063636172","display_name":"David Hong","orcid":"https://orcid.org/0000-0003-4698-4175"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"David Hong","raw_affiliation_strings":["University of Michigan, Ann Arbor, MI"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Michigan, Ann Arbor, MI","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039127251","display_name":"Tamara G. Kolda","orcid":"https://orcid.org/0000-0003-4176-2493"},"institutions":[{"id":"https://openalex.org/I192454743","display_name":"Sandia National Laboratories California","ror":"https://ror.org/058m7ey48","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1330989302","https://openalex.org/I192454743","https://openalex.org/I198811213","https://openalex.org/I198811213","https://openalex.org/I4210104735"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tamara G. Kolda","raw_affiliation_strings":["Sandia National Laboratories, Livermore, CA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sandia National Laboratories, Livermore, CA","institution_ids":["https://openalex.org/I192454743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031751484","display_name":"Jed A. Duersch","orcid":"https://orcid.org/0000-0002-2178-3695"},"institutions":[{"id":"https://openalex.org/I192454743","display_name":"Sandia National Laboratories California","ror":"https://ror.org/058m7ey48","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1330989302","https://openalex.org/I192454743","https://openalex.org/I198811213","https://openalex.org/I198811213","https://openalex.org/I4210104735"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jed A. Duersch","raw_affiliation_strings":["Sandia National Laboratories, Livermore, CA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sandia National Laboratories, Livermore, CA","institution_ids":["https://openalex.org/I192454743"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5063636172"],"corresponding_institution_ids":["https://openalex.org/I27837315"],"apc_list":null,"apc_paid":null,"fwci":12.4569,"has_fulltext":false,"cited_by_count":144,"citation_normalized_percentile":{"value":0.99631902,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"62","issue":"1","first_page":"133","last_page":"163"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9998999834060669,"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":0.9998999834060669,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9041000008583069,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/decomposition","display_name":"Decomposition","score":0.6380299925804138},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.575715184211731},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5504985451698303},{"id":"https://openalex.org/keywords/tensor-decomposition","display_name":"Tensor decomposition","score":0.5469527244567871},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.4568215012550354},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.41877955198287964},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4042550027370453},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3755970895290375},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.0772375762462616}],"concepts":[{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.6380299925804138},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.575715184211731},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5504985451698303},{"id":"https://openalex.org/C2986737658","wikidata":"https://www.wikidata.org/wiki/Q30103009","display_name":"Tensor decomposition","level":3,"score":0.5469527244567871},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.4568215012550354},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41877955198287964},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4042550027370453},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3755970895290375},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0772375762462616},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/18m1203626","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1203626","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1808.07452","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1808.07452","pdf_url":"https://arxiv.org/pdf/1808.07452","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:osti.gov:1639092","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1639092","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1808.07452","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1808.07452","pdf_url":"https://arxiv.org/pdf/1808.07452","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G805931733","display_name":null,"funder_award_id":"DE-NA-0003525","funder_id":"https://openalex.org/F4320338291","funder_display_name":"Sandia National Laboratories"}],"funders":[{"id":"https://openalex.org/F4320338291","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":67,"referenced_works":["https://openalex.org/W94565353","https://openalex.org/W1558060282","https://openalex.org/W1615057313","https://openalex.org/W1814521481","https://openalex.org/W1850275953","https://openalex.org/W1884516485","https://openalex.org/W1902027874","https://openalex.org/W1980428773","https://openalex.org/W1984035260","https://openalex.org/W1988720938","https://openalex.org/W1992665562","https://openalex.org/W2000215628","https://openalex.org/W2000359198","https://openalex.org/W2006891733","https://openalex.org/W2007449884","https://openalex.org/W2008114373","https://openalex.org/W2008972618","https://openalex.org/W2021958990","https://openalex.org/W2022242697","https://openalex.org/W2024165284","https://openalex.org/W2024356620","https://openalex.org/W2026034143","https://openalex.org/W2030470432","https://openalex.org/W2037271374","https://openalex.org/W2046033161","https://openalex.org/W2046866210","https://openalex.org/W2052104835","https://openalex.org/W2056857971","https://openalex.org/W2059745395","https://openalex.org/W2061370212","https://openalex.org/W2066392792","https://openalex.org/W2071729267","https://openalex.org/W2073469810","https://openalex.org/W2073502026","https://openalex.org/W2094286023","https://openalex.org/W2108138101","https://openalex.org/W2114508388","https://openalex.org/W2119741678","https://openalex.org/W2121739212","https://openalex.org/W2132938399","https://openalex.org/W2135001774","https://openalex.org/W2140862024","https://openalex.org/W2144920235","https://openalex.org/W2150070703","https://openalex.org/W2157382843","https://openalex.org/W2164616133","https://openalex.org/W2245094585","https://openalex.org/W2258054274","https://openalex.org/W2407529013","https://openalex.org/W2494173650","https://openalex.org/W2560878429","https://openalex.org/W2573042855","https://openalex.org/W2747563384","https://openalex.org/W2750586907","https://openalex.org/W2787894218","https://openalex.org/W2915098601","https://openalex.org/W2951881727","https://openalex.org/W2962976813","https://openalex.org/W2964341462","https://openalex.org/W3009356518","https://openalex.org/W3013067193","https://openalex.org/W3098758500","https://openalex.org/W3105254673","https://openalex.org/W3122868618","https://openalex.org/W4206519735","https://openalex.org/W4241741271","https://openalex.org/W4246941204"],"related_works":["https://openalex.org/W4379256054","https://openalex.org/W2093953080","https://openalex.org/W2911706637","https://openalex.org/W47805180","https://openalex.org/W3216281372","https://openalex.org/W2963838862","https://openalex.org/W2608089480","https://openalex.org/W3015641590","https://openalex.org/W2987657992","https://openalex.org/W4297666106"],"abstract_inverted_index":{"Tensor":[0],"decomposition":[1,31,52,101],"is":[2],"a":[3,24,60,72,109,115],"fundamental":[4],"unsupervised":[5],"machine":[6],"learning":[7],"method":[8],"in":[9,108,114,121],"data":[10,19,81],"science,":[11],"with":[12],"applications":[13],"including":[14,106],"network":[15],"analysis":[16],"and":[17,78,117],"sensor":[18],"processing.":[20],"This":[21],"work":[22],"develops":[23],"generalized":[25,73],"canonical":[26],"polyadic":[27],"(GCP)":[28],"low-rank":[29],"tensor":[30,51],"that":[32,82],"allows":[33],"other":[34],"loss":[35,46,65],"functions":[36,66],"besides":[37],"squared":[38],"error.":[39],"For":[40],"instance,":[41],"we":[42],"can":[43],"use":[44,85],"logistic":[45],"or":[47,55],"Kullback--Leibler":[48],"divergence,":[49],"enabling":[50],"for":[53,67,75,90],"binary":[54],"count":[56],"data.":[57],"We":[58,70,94],"present":[59],"variety":[61],"of":[62,86,98],"statistically":[63],"motivated":[64],"various":[68],"scenarios.":[69],"provide":[71],"framework":[74],"computing":[76],"gradients":[77],"handling":[79],"missing":[80],"enables":[83],"the":[84,92,96,99],"standard":[87],"optimization":[88],"methods":[89],"fitting":[91],"model.":[93],"demonstrate":[95],"flexibility":[97],"GCP":[100],"on":[102],"several":[103],"real-world":[104],"examples":[105],"interactions":[107],"social":[110],"network,":[111],"neural":[112],"activity":[113],"mouse,":[116],"monthly":[118],"rainfall":[119],"measurements":[120],"India.":[122]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":18},{"year":2024,"cited_by_count":22},{"year":2023,"cited_by_count":22},{"year":2022,"cited_by_count":18},{"year":2021,"cited_by_count":28},{"year":2020,"cited_by_count":21},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":1}],"updated_date":"2026-05-22T09:01:20.584952","created_date":"2025-10-10T00:00:00"}