{"id":"https://openalex.org/W4225144709","doi":"https://doi.org/10.1145/3519383","title":"Algorithm\u00a01026: Concurrent Alternating Least Squares for Multiple Simultaneous Canonical Polyadic Decompositions","display_name":"Algorithm\u00a01026: Concurrent Alternating Least Squares for Multiple Simultaneous Canonical Polyadic Decompositions","publication_year":2022,"publication_date":"2022-04-29","ids":{"openalex":"https://openalex.org/W4225144709","doi":"https://doi.org/10.1145/3519383"},"language":"en","primary_location":{"id":"doi:10.1145/3519383","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3519383","pdf_url":null,"source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Mathematical Software","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2010.04678","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021078317","display_name":"Christos Psarras","orcid":"https://orcid.org/0000-0001-6057-7491"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Christos Psarras","raw_affiliation_strings":["RWTH Aachen University, Aachen, North Rhine-Westphalia, Germany"],"affiliations":[{"raw_affiliation_string":"RWTH Aachen University, Aachen, North Rhine-Westphalia, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076622203","display_name":"Lars Karlsson","orcid":"https://orcid.org/0000-0002-4675-7434"},"institutions":[{"id":"https://openalex.org/I90267481","display_name":"Ume\u00e5 University","ror":"https://ror.org/05kb8h459","country_code":"SE","type":"education","lineage":["https://openalex.org/I90267481"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Lars Karlsson","raw_affiliation_strings":["Ume\u00e5 Universitet, MIT-huset, Ume\u00e5, Sweden"],"affiliations":[{"raw_affiliation_string":"Ume\u00e5 Universitet, MIT-huset, Ume\u00e5, Sweden","institution_ids":["https://openalex.org/I90267481"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031999645","display_name":"Rasmus Bro","orcid":"https://orcid.org/0000-0002-7641-4854"},"institutions":[{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Rasmus Bro","raw_affiliation_strings":["University of Copenhagen, Rolighedsvej, Copenhagen, Frederiksberg C, Denmark"],"affiliations":[{"raw_affiliation_string":"University of Copenhagen, Rolighedsvej, Copenhagen, Frederiksberg C, Denmark","institution_ids":["https://openalex.org/I124055696"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048393932","display_name":"Paolo Bientinesi","orcid":"https://orcid.org/0000-0002-4972-7097"},"institutions":[{"id":"https://openalex.org/I90267481","display_name":"Ume\u00e5 University","ror":"https://ror.org/05kb8h459","country_code":"SE","type":"education","lineage":["https://openalex.org/I90267481"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Paolo Bientinesi","raw_affiliation_strings":["Ume\u00e5 Universitet, MIT-huset, Ume\u00e5, Sweden"],"affiliations":[{"raw_affiliation_string":"Ume\u00e5 Universitet, MIT-huset, Ume\u00e5, Sweden","institution_ids":["https://openalex.org/I90267481"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5021078317"],"corresponding_institution_ids":["https://openalex.org/I887968799"],"apc_list":null,"apc_paid":null,"fwci":0.5468,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.59472422,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"48","issue":"3","first_page":"1","last_page":"20"},"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/T11269","display_name":"Algorithms and Data Compression","score":0.9711999893188477,"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"}},{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9656999707221985,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/computer-science","display_name":"Computer science","score":0.6988248825073242},{"id":"https://openalex.org/keywords/extrapolation","display_name":"Extrapolation","score":0.5959909558296204},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.5806994438171387},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5137980580329895},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.479262113571167},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.4431610107421875},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.37706252932548523},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32542192935943604},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25121352076530457},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20061242580413818},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07869678735733032}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6988248825073242},{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.5959909558296204},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5806994438171387},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5137980580329895},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.479262113571167},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.4431610107421875},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.37706252932548523},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32542192935943604},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25121352076530457},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20061242580413818},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07869678735733032},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/3519383","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3519383","pdf_url":null,"source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Mathematical Software","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2010.04678","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2010.04678","pdf_url":"https://arxiv.org/pdf/2010.04678","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:pure.atira.dk:openaire_cris_publications/52ce4451-ad72-4881-8674-c234d7f5faca","is_oa":true,"landing_page_url":"https://researchprofiles.ku.dk/da/publications/52ce4451-ad72-4881-8674-c234d7f5faca","pdf_url":"https://curis.ku.dk/ws/files/329443544/Concurrent_Alternating_Least_Squares_for_Multiple.pdf","source":{"id":"https://openalex.org/S4306401983","display_name":"Research at the University of Copenhagen (University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I124055696","host_organization_name":"University of Copenhagen","host_organization_lineage":["https://openalex.org/I124055696"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Psarras , C , Karlsson , L , Bro , R & Bientinesi , P 2022 , ' Algorithm 1026 : Concurrent Alternating Least Squares for Multiple Simultaneous Canonical Polyadic Decompositions ' , ACM Transactions on Mathematical Software , vol. 48 , no. 3 , 34 . https://doi.org/10.1145/3519383","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2010.04678","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2010.04678","pdf_url":"https://arxiv.org/pdf/2010.04678","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/G1843714729","display_name":null,"funder_award_id":"GRK2379","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7181204602","display_name":null,"funder_award_id":"IRTG 2379","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W10350632","https://openalex.org/W49160414","https://openalex.org/W1511885491","https://openalex.org/W1968061328","https://openalex.org/W1983157164","https://openalex.org/W2000215628","https://openalex.org/W2002555321","https://openalex.org/W2008972618","https://openalex.org/W2018347513","https://openalex.org/W2019219605","https://openalex.org/W2022242697","https://openalex.org/W2024165284","https://openalex.org/W2037271374","https://openalex.org/W2044777402","https://openalex.org/W2045174037","https://openalex.org/W2071729267","https://openalex.org/W2082830484","https://openalex.org/W2098098075","https://openalex.org/W2108138101","https://openalex.org/W2124589071","https://openalex.org/W2127226421","https://openalex.org/W2139431773","https://openalex.org/W2141280932","https://openalex.org/W2157382843","https://openalex.org/W2220516362","https://openalex.org/W2252007067","https://openalex.org/W2282347063","https://openalex.org/W2295543477","https://openalex.org/W2469230926","https://openalex.org/W2731053425","https://openalex.org/W2787830900","https://openalex.org/W2888987473","https://openalex.org/W2889531404","https://openalex.org/W2893530532","https://openalex.org/W2898819855","https://openalex.org/W2901487162","https://openalex.org/W2951338975","https://openalex.org/W2952198983","https://openalex.org/W2953288364","https://openalex.org/W2954661277","https://openalex.org/W2962779982","https://openalex.org/W2963964033","https://openalex.org/W2971526651","https://openalex.org/W2982559518","https://openalex.org/W3023660936","https://openalex.org/W3102869303","https://openalex.org/W3105254673","https://openalex.org/W3173185726","https://openalex.org/W4237234927","https://openalex.org/W4287254515","https://openalex.org/W4298392728"],"related_works":["https://openalex.org/W1968270095","https://openalex.org/W4296478327","https://openalex.org/W1960072520","https://openalex.org/W2042397106","https://openalex.org/W4361730764","https://openalex.org/W1965029248","https://openalex.org/W2220129715","https://openalex.org/W2387596242","https://openalex.org/W2333625343","https://openalex.org/W3088050781"],"abstract_inverted_index":{"Tensor":[0],"decompositions,":[1],"such":[2,14,28,157],"as":[3,15,158],"CANDECOMP/PARAFAC":[4],"(CP),":[5],"are":[6],"widely":[7],"used":[8,24,154],"in":[9,67,155],"a":[10,82,180,202],"variety":[11],"of":[12,41,46,76,85,112,137],"applications,":[13],"chemometrics,":[16],"signal":[17],"processing,":[18],"and":[19,59,162,171,179,198],"machine":[20],"learning.":[21],"A":[22],"broadly":[23],"method":[25],"for":[26,99,139],"computing":[27],"decompositions":[29,75,111,189],"relies":[30],"on":[31,196],"the":[32,39,77,94,100,113,121,126,143,146,167,186],"Alternating":[33],"Least":[34],"Squares":[35],"(ALS)":[36],"algorithm.":[37],"When":[38],"number":[40,84],"components":[42,86],"is":[43,148],"small,":[44],"regardless":[45],"its":[47,57],"implementation,":[48],"ALS":[49,169],"exhibits":[50],"low":[51],"arithmetic":[52,127,210],"intensity,":[53],"which":[54,173],"severely":[55],"hinders":[56],"performance":[58],"makes":[60],"GPU":[61],"offloading":[62],"ineffective.":[63],"We":[64,165],"observe":[65],"that,":[66],"practice,":[68],"experts":[69],"often":[70],"have":[71],"to":[72,91,97,124,133,177,182,205,208],"compute":[73],"multiple":[74,110],"same":[78,114,144],"tensor,":[79],"each":[80],"with":[81,150,185],"small":[83],"(typically":[87],"fewer":[88],"than":[89],"20),":[90],"ultimately":[92],"find":[93],"best":[95],"ones":[96],"use":[98,136],"application":[101],"at":[102,120,142,191],"hand.":[103],"In":[104],"this":[105],"article,":[106],"we":[107],"illustrate":[108],"how":[109],"tensor":[115],"can":[116],"be":[117],"fused":[118],"together":[119],"algorithmic":[122],"level":[123],"increase":[125],"intensity.":[128,211],"Therefore,":[129],"it":[130],"becomes":[131],"possible":[132],"make":[134],"efficient":[135],"GPUs":[138],"further":[140],"speedups;":[141],"time,":[145],"technique":[147],"compatible":[149],"many":[151],"enhancements":[152],"typically":[153],"ALS,":[156],"line":[159],"search,":[160],"extrapolation,":[161],"non-negativity":[163],"constraints.":[164],"introduce":[166],"Concurrent":[168],"algorithm":[170],"library,":[172],"offers":[174],"an":[175],"interface":[176],"MATLAB,":[178],"mechanism":[181],"effectively":[183],"deal":[184],"issue":[187],"that":[188],"complete":[190],"different":[192],"times.":[193],"Experimental":[194],"results":[195],"artificial":[197],"real":[199],"datasets":[200],"demonstrate":[201],"shorter":[203],"time":[204],"completion":[206],"due":[207],"increased":[209]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2022-05-01T00:00:00"}