{"id":"https://openalex.org/W3042828037","doi":"https://doi.org/10.1109/jstsp.2020.3045848","title":"A Flexible Optimization Framework for Regularized Matrix-Tensor Factorizations With Linear Couplings","display_name":"A Flexible Optimization Framework for Regularized Matrix-Tensor Factorizations With Linear Couplings","publication_year":2020,"publication_date":"2020-12-18","ids":{"openalex":"https://openalex.org/W3042828037","doi":"https://doi.org/10.1109/jstsp.2020.3045848","mag":"3042828037"},"language":"en","primary_location":{"id":"doi:10.1109/jstsp.2020.3045848","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jstsp.2020.3045848","pdf_url":null,"source":{"id":"https://openalex.org/S42167783","display_name":"IEEE Journal of Selected Topics in Signal Processing","issn_l":"1932-4553","issn":["1932-4553","1941-0484"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Journal of Selected Topics in Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2007.09605","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042785751","display_name":"Carla Schenker","orcid":"https://orcid.org/0000-0001-6234-7569"},"institutions":[{"id":"https://openalex.org/I4210153474","display_name":"Simula Metropolitan Center for Digital Engineering","ror":"https://ror.org/04xtarr15","country_code":"NO","type":"nonprofit","lineage":["https://openalex.org/I184531372","https://openalex.org/I2799829267","https://openalex.org/I4210153474"]}],"countries":["NO"],"is_corresponding":true,"raw_author_name":"Carla Schenker","raw_affiliation_strings":["Simula Metropolitan Center for Digital Engineering, Oslo Metropolitan University, Oslo, Norway"],"affiliations":[{"raw_affiliation_string":"Simula Metropolitan Center for Digital Engineering, Oslo Metropolitan University, Oslo, Norway","institution_ids":["https://openalex.org/I4210153474"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073471976","display_name":"J\u00e9r\u00e9my E. Cohen","orcid":"https://orcid.org/0000-0001-8319-8566"},"institutions":[{"id":"https://openalex.org/I56067802","display_name":"Universit\u00e9 de Rennes","ror":"https://ror.org/015m7wh34","country_code":"FR","type":"education","lineage":["https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jeremy E. Cohen","raw_affiliation_strings":["Centre National de la Recherche Scientifique, University de Rennes, Rennes, France"],"affiliations":[{"raw_affiliation_string":"Centre National de la Recherche Scientifique, University de Rennes, Rennes, France","institution_ids":["https://openalex.org/I56067802"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046236337","display_name":"Evrim Acar","orcid":"https://orcid.org/0000-0002-3737-292X"},"institutions":[{"id":"https://openalex.org/I4210153474","display_name":"Simula Metropolitan Center for Digital Engineering","ror":"https://ror.org/04xtarr15","country_code":"NO","type":"nonprofit","lineage":["https://openalex.org/I184531372","https://openalex.org/I2799829267","https://openalex.org/I4210153474"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Evrim Acar","raw_affiliation_strings":["Simula Metropolitan Center for Digital Engineering, Oslo, Norway"],"affiliations":[{"raw_affiliation_string":"Simula Metropolitan Center for Digital Engineering, Oslo, Norway","institution_ids":["https://openalex.org/I4210153474"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5042785751"],"corresponding_institution_ids":["https://openalex.org/I4210153474"],"apc_list":null,"apc_paid":null,"fwci":1.8213,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.85572139,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"15","issue":"3","first_page":"506","last_page":"521"},"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"}}],"keywords":[{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.660988986492157},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6283376812934875},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.6251900792121887},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.6087180972099304},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5328341722488403},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.5273802280426025},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44735679030418396},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4089575409889221},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2671849727630615},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.11981135606765747},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.07690697908401489}],"concepts":[{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.660988986492157},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6283376812934875},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.6251900792121887},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.6087180972099304},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5328341722488403},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.5273802280426025},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44735679030418396},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4089575409889221},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2671849727630615},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.11981135606765747},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07690697908401489},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/jstsp.2020.3045848","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jstsp.2020.3045848","pdf_url":null,"source":{"id":"https://openalex.org/S42167783","display_name":"IEEE Journal of Selected Topics in Signal Processing","issn_l":"1932-4553","issn":["1932-4553","1941-0484"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Journal of Selected Topics in Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2007.09605","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2007.09605","pdf_url":"https://arxiv.org/pdf/2007.09605","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:HAL:hal-03038493v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03038493","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Journal of Selected Topics in Signal Processing, 2020, 15 (3), pp.506-521. &#x27E8;10.1109/JSTSP.2020.3045848&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2007.09605","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2007.09605","pdf_url":"https://arxiv.org/pdf/2007.09605","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":[{"display_name":"Life below water","id":"https://metadata.un.org/sdg/14","score":0.7300000190734863}],"awards":[{"id":"https://openalex.org/G1643895631","display_name":null,"funder_award_id":"project#300489 (IKTPLUSS)","funder_id":"https://openalex.org/F4320323299","funder_display_name":"Norges Forskningsr\u00e5d"}],"funders":[{"id":"https://openalex.org/F4320323299","display_name":"Norges Forskningsr\u00e5d","ror":"https://ror.org/00epmv149"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":99,"referenced_works":["https://openalex.org/W40848148","https://openalex.org/W47805180","https://openalex.org/W343638764","https://openalex.org/W356012825","https://openalex.org/W1480059945","https://openalex.org/W1485311099","https://openalex.org/W1514379994","https://openalex.org/W1539811621","https://openalex.org/W1548248315","https://openalex.org/W1562564874","https://openalex.org/W1632866817","https://openalex.org/W1682665945","https://openalex.org/W1714642268","https://openalex.org/W1850275953","https://openalex.org/W1953936588","https://openalex.org/W1971752899","https://openalex.org/W1976615758","https://openalex.org/W1976801265","https://openalex.org/W1984035260","https://openalex.org/W1985915435","https://openalex.org/W2000215628","https://openalex.org/W2000359198","https://openalex.org/W2024165284","https://openalex.org/W2024356620","https://openalex.org/W2026034143","https://openalex.org/W2027982384","https://openalex.org/W2034298135","https://openalex.org/W2037603831","https://openalex.org/W2039844283","https://openalex.org/W2046049351","https://openalex.org/W2047680880","https://openalex.org/W2050016299","https://openalex.org/W2050968963","https://openalex.org/W2064321206","https://openalex.org/W2083667973","https://openalex.org/W2084252873","https://openalex.org/W2086261631","https://openalex.org/W2108840817","https://openalex.org/W2117420919","https://openalex.org/W2117587045","https://openalex.org/W2121739212","https://openalex.org/W2130295778","https://openalex.org/W2130852547","https://openalex.org/W2154325203","https://openalex.org/W2157120783","https://openalex.org/W2164278908","https://openalex.org/W2221899823","https://openalex.org/W2258054274","https://openalex.org/W2272200996","https://openalex.org/W2274086169","https://openalex.org/W2294755503","https://openalex.org/W2295220159","https://openalex.org/W2337878656","https://openalex.org/W2397054087","https://openalex.org/W2419656545","https://openalex.org/W2440837865","https://openalex.org/W2486586393","https://openalex.org/W2625899388","https://openalex.org/W2753916251","https://openalex.org/W2763081248","https://openalex.org/W2774517539","https://openalex.org/W2792416693","https://openalex.org/W2798016471","https://openalex.org/W2798766386","https://openalex.org/W2898346288","https://openalex.org/W2901478080","https://openalex.org/W2903132576","https://openalex.org/W2944211990","https://openalex.org/W2949982560","https://openalex.org/W2964343053","https://openalex.org/W2982559518","https://openalex.org/W2988137070","https://openalex.org/W2995206052","https://openalex.org/W3005990752","https://openalex.org/W3023205342","https://openalex.org/W3098758500","https://openalex.org/W3099831354","https://openalex.org/W3101739370","https://openalex.org/W3103400026","https://openalex.org/W3103867094","https://openalex.org/W3112153148","https://openalex.org/W3122703110","https://openalex.org/W4231990774","https://openalex.org/W4242200182","https://openalex.org/W4242567621","https://openalex.org/W4242766606","https://openalex.org/W4244633107","https://openalex.org/W4246980425","https://openalex.org/W4292363360","https://openalex.org/W4301878458","https://openalex.org/W6632825054","https://openalex.org/W6636705969","https://openalex.org/W6637769015","https://openalex.org/W6662976070","https://openalex.org/W6676948407","https://openalex.org/W6711952583","https://openalex.org/W6746968042","https://openalex.org/W6777075597","https://openalex.org/W6787199734"],"related_works":["https://openalex.org/W3208095355","https://openalex.org/W2984005617","https://openalex.org/W2810415161","https://openalex.org/W3003965400","https://openalex.org/W2030927653","https://openalex.org/W2953204310","https://openalex.org/W2062063412","https://openalex.org/W3155724094","https://openalex.org/W2201180357","https://openalex.org/W4301291886"],"abstract_inverted_index":{"Coupled":[0],"matrix":[1,65],"and":[2,37,46,66,74,94,107,117],"tensor":[3,67],"factorizations":[4,68],"(CMTF)":[5],"are":[6],"frequently":[7],"used":[8],"to":[9,39],"jointly":[10],"analyze":[11],"data":[12,20,35],"from":[13,28],"multiple":[14,29],"sources,":[15],"a":[16,59,88,100],"task":[17],"also":[18,151],"called":[19],"fusion.":[21],"However,":[22],"different":[23,47],"characteristics":[24],"of":[25,49,79,87,90],"datasets":[26,109],"stemming":[27],"sources":[30],"pose":[31],"many":[32],"challenges":[33],"in":[34,99],"fusion":[36],"require":[38],"employ":[40],"various":[41],"regularizations,":[42],"constraints,":[43,91],"loss":[44,92,154],"functions":[45,93],"types":[48],"coupling":[50],"structures":[51],"between":[52],"datasets.":[53],"In":[54],"this":[55],"paper,":[56],"we":[57,143],"propose":[58],"flexible":[60],"algorithmic":[61],"framework":[62,83],"for":[63,129,152],"coupled":[64],"which":[69],"utilizes":[70],"Alternating":[71,76],"Optimization":[72],"(AO)":[73],"the":[75,85,112,146],"Direction":[77],"Method":[78],"Multipliers":[80],"(ADMM).":[81],"The":[82],"facilitates":[84],"use":[86],"variety":[89],"couplings":[95],"with":[96,120],"linear":[97],"transformations":[98],"seamless":[101],"way.":[102],"Numerical":[103],"experiments":[104],"on":[105,140],"simulated":[106],"real":[108],"demonstrate":[110,144],"that":[111,145],"proposed":[113],"approach":[114],"is":[115],"accurate,":[116],"computationally":[118],"efficient":[119],"comparable":[121],"or":[122],"better":[123],"performance":[124],"than":[125],"available":[126],"CMTF":[127],"methods":[128],"Frobenius":[130],"norm":[131],"loss,":[132],"while":[133],"being":[134],"more":[135],"flexible.":[136],"Using":[137],"Kullback-Leibler":[138],"divergence":[139],"count":[141],"data,":[142],"algorithm":[147],"yields":[148],"accurate":[149],"results":[150],"other":[153],"functions.":[155]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
