{"id":"https://openalex.org/W3019867548","doi":"https://doi.org/10.1007/s11042-020-08711-1","title":"Canonical polyadic decomposition (CPD) of big tensors with low multilinear rank","display_name":"Canonical polyadic decomposition (CPD) of big tensors with low multilinear rank","publication_year":2020,"publication_date":"2020-04-23","ids":{"openalex":"https://openalex.org/W3019867548","doi":"https://doi.org/10.1007/s11042-020-08711-1","mag":"3019867548"},"language":"en","primary_location":{"id":"doi:10.1007/s11042-020-08711-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11042-020-08711-1","pdf_url":null,"source":{"id":"https://openalex.org/S110206669","display_name":"Multimedia Tools and Applications","issn_l":"1380-7501","issn":["1380-7501","1573-7721"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multimedia Tools and Applications","raw_type":"journal-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/A5103268550","display_name":"Yichun Qiu","orcid":"https://orcid.org/0000-0002-5569-6768"},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yichun Qiu","raw_affiliation_strings":["School of Automation, Guangdong University of Technology, Guangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation, Guangdong University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I139024713"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090101808","display_name":"Guoxu Zhou","orcid":"https://orcid.org/0000-0003-1187-577X"},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]},{"id":"https://openalex.org/I4210107815","display_name":"Guangdong-Hongkong-Macau Joint Laboratory of Collaborative Innovation for Environmental Quality","ror":"https://ror.org/02gwsx029","country_code":"CN","type":"education","lineage":["https://openalex.org/I111950717","https://openalex.org/I159948400","https://openalex.org/I200769079","https://openalex.org/I4210107815","https://openalex.org/I4210144285","https://openalex.org/I4391767947"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guoxu Zhou","raw_affiliation_strings":["School of Automation, Guangdong University of Technology, Guangzhou, China","School of Automation, Guangdong-HongKong-Macao Joint Laboratory for Smart Discrete Manufacturing, Guangdong University of Technology, Guangzhou, 510006, China"],"raw_orcid":"https://orcid.org/0000-0003-1187-577X","affiliations":[{"raw_affiliation_string":"School of Automation, Guangdong University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I139024713"]},{"raw_affiliation_string":"School of Automation, Guangdong-HongKong-Macao Joint Laboratory for Smart Discrete Manufacturing, Guangdong University of Technology, Guangzhou, 510006, China","institution_ids":["https://openalex.org/I139024713","https://openalex.org/I4210107815"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100433744","display_name":"Yu Zhang","orcid":"https://orcid.org/0000-0003-4087-6544"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yu Zhang","raw_affiliation_strings":["Department of Psychiatry and Behavioral Sciences, Stanford University, Stanford, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Psychiatry and Behavioral Sciences, Stanford University, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018676117","display_name":"Andrzej Cichocki","orcid":"https://orcid.org/0000-0002-8364-7226"},"institutions":[{"id":"https://openalex.org/I125989756","display_name":"Skolkovo Institute of Science and Technology","ror":"https://ror.org/03f9nc143","country_code":"RU","type":"education","lineage":["https://openalex.org/I125989756"]},{"id":"https://openalex.org/I66083562","display_name":"Systems Research Institute","ror":"https://ror.org/0111cp837","country_code":"PL","type":"facility","lineage":["https://openalex.org/I66083562","https://openalex.org/I99542240"]}],"countries":["PL","RU"],"is_corresponding":false,"raw_author_name":"Andrzej Cichocki","raw_affiliation_strings":["Skolkovo Institute of Science and Technology (SKOLTECH), 143026, Moscow, Russia","System Research Institute, Polish Academy of Sciences, Warsaw, 00-901, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Skolkovo Institute of Science and Technology (SKOLTECH), 143026, Moscow, Russia","institution_ids":["https://openalex.org/I125989756"]},{"raw_affiliation_string":"System Research Institute, Polish Academy of Sciences, Warsaw, 00-901, Poland","institution_ids":["https://openalex.org/I66083562"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5090101808"],"corresponding_institution_ids":["https://openalex.org/I139024713","https://openalex.org/I4210107815"],"apc_list":null,"apc_paid":null,"fwci":0.839,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.67237164,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"80","issue":"15","first_page":"22987","last_page":"23007"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":1.0,"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":1.0,"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/T10575","display_name":"Wireless Communication Networks Research","score":0.9394000172615051,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9027000069618225,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multilinear-map","display_name":"Multilinear map","score":0.944191575050354},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7750020623207092},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.7309554219245911},{"id":"https://openalex.org/keywords/tucker-decomposition","display_name":"Tucker decomposition","score":0.7292371988296509},{"id":"https://openalex.org/keywords/big-data","display_name":"Big data","score":0.6712323427200317},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.6557589769363403},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.6527994871139526},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6359385251998901},{"id":"https://openalex.org/keywords/low-rank-approximation","display_name":"Low-rank approximation","score":0.41592806577682495},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3968280553817749},{"id":"https://openalex.org/keywords/tensor-decomposition","display_name":"Tensor decomposition","score":0.3778343200683594},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3721575438976288},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.30500125885009766},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17302918434143066},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.07973971962928772}],"concepts":[{"id":"https://openalex.org/C84392682","wikidata":"https://www.wikidata.org/wiki/Q1952404","display_name":"Multilinear map","level":2,"score":0.944191575050354},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7750020623207092},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.7309554219245911},{"id":"https://openalex.org/C42704193","wikidata":"https://www.wikidata.org/wiki/Q7851097","display_name":"Tucker decomposition","level":4,"score":0.7292371988296509},{"id":"https://openalex.org/C75684735","wikidata":"https://www.wikidata.org/wiki/Q858810","display_name":"Big data","level":2,"score":0.6712323427200317},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.6557589769363403},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.6527994871139526},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6359385251998901},{"id":"https://openalex.org/C90199385","wikidata":"https://www.wikidata.org/wiki/Q6692777","display_name":"Low-rank approximation","level":3,"score":0.41592806577682495},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3968280553817749},{"id":"https://openalex.org/C2986737658","wikidata":"https://www.wikidata.org/wiki/Q30103009","display_name":"Tensor decomposition","level":3,"score":0.3778343200683594},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3721575438976288},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.30500125885009766},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17302918434143066},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07973971962928772},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11042-020-08711-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11042-020-08711-1","pdf_url":null,"source":{"id":"https://openalex.org/S110206669","display_name":"Multimedia Tools and Applications","issn_l":"1380-7501","issn":["1380-7501","1573-7721"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multimedia Tools and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2077582792","display_name":null,"funder_award_id":"61673124","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8719025522","display_name":null,"funder_award_id":"61973090","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W49160414","https://openalex.org/W111803032","https://openalex.org/W1246381107","https://openalex.org/W1538559241","https://openalex.org/W1878057855","https://openalex.org/W1893333638","https://openalex.org/W1972547249","https://openalex.org/W1973246170","https://openalex.org/W1981512030","https://openalex.org/W2008972618","https://openalex.org/W2009685860","https://openalex.org/W2013912476","https://openalex.org/W2024165284","https://openalex.org/W2026034143","https://openalex.org/W2031460246","https://openalex.org/W2038920431","https://openalex.org/W2042901969","https://openalex.org/W2059653419","https://openalex.org/W2061375390","https://openalex.org/W2066024605","https://openalex.org/W2079223014","https://openalex.org/W2101194540","https://openalex.org/W2103392911","https://openalex.org/W2108119513","https://openalex.org/W2113055885","https://openalex.org/W2117756735","https://openalex.org/W2121225280","https://openalex.org/W2132267493","https://openalex.org/W2136348949","https://openalex.org/W2150059498","https://openalex.org/W2154011501","https://openalex.org/W2158821123","https://openalex.org/W2163246442","https://openalex.org/W2163927692","https://openalex.org/W2167083368","https://openalex.org/W2172195418","https://openalex.org/W2294040673","https://openalex.org/W2404400936","https://openalex.org/W2808098316","https://openalex.org/W2904909998","https://openalex.org/W2905279478","https://openalex.org/W2936995161","https://openalex.org/W2942489367","https://openalex.org/W2951897416","https://openalex.org/W2952464298","https://openalex.org/W2962732538","https://openalex.org/W3099910538","https://openalex.org/W3103655579","https://openalex.org/W3123607434","https://openalex.org/W3139939952"],"related_works":["https://openalex.org/W2535617683","https://openalex.org/W2891735857","https://openalex.org/W2922481674","https://openalex.org/W4214526161","https://openalex.org/W47805180","https://openalex.org/W2093953080","https://openalex.org/W2564982703","https://openalex.org/W3127610061","https://openalex.org/W2891277085","https://openalex.org/W2347172331"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-06-16T09:24:06.705377","created_date":"2025-10-10T00:00:00"}