{"id":"https://openalex.org/W2014466433","doi":"https://doi.org/10.1016/j.sigpro.2015.02.003","title":"Smooth nonnegative matrix and tensor factorizations for robust multi-way data analysis","display_name":"Smooth nonnegative matrix and tensor factorizations for robust multi-way data analysis","publication_year":2015,"publication_date":"2015-02-11","ids":{"openalex":"https://openalex.org/W2014466433","doi":"https://doi.org/10.1016/j.sigpro.2015.02.003","mag":"2014466433"},"language":"en","primary_location":{"id":"doi:10.1016/j.sigpro.2015.02.003","doi":"https://doi.org/10.1016/j.sigpro.2015.02.003","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.sigpro.2015.02.003","pdf_url":null,"source":{"id":"https://openalex.org/S154637859","display_name":"Signal Processing","issn_l":"0165-1684","issn":["0165-1684","1872-7557"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","ccf-c","cwts-core","dongbi-b","jufo-2","ki-jl-1","norway-1","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Signal Processing","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://nitech.repo.nii.ac.jp/records/6335","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039764322","display_name":"Tatsuya Yokota","orcid":"https://orcid.org/0000-0002-7368-2060","observed_orcids":["https://orcid.org/0000-0002-7368-2060"]},"institutions":[{"id":"https://openalex.org/I2800939219","display_name":"RIKEN Center for Brain Science","ror":"https://ror.org/04j1n1c04","country_code":"JP","type":"facility","lineage":["https://openalex.org/I2800939219","https://openalex.org/I4210110652"]},{"id":"https://openalex.org/I4210110652","display_name":"RIKEN","ror":"https://ror.org/01sjwvz98","country_code":"JP","type":"facility","lineage":["https://openalex.org/I4210110652"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Tatsuya Yokota","raw_affiliation_strings":["RIKEN Brain Science Institute, Japan"],"raw_orcid":"https://orcid.org/0000-0002-7368-2060","affiliations":[{"raw_affiliation_string":"RIKEN Brain Science Institute, Japan","institution_ids":["https://openalex.org/I2800939219","https://openalex.org/I4210110652"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022656662","display_name":"Rafa\u0142 Zdunek","orcid":"https://orcid.org/0000-0003-3323-6717","observed_orcids":["https://orcid.org/0000-0003-3323-6717"]},"institutions":[{"id":"https://openalex.org/I11923345","display_name":"Wroc\u0142aw University of Science and Technology","ror":"https://ror.org/008fyn775","country_code":"PL","type":"education","lineage":["https://openalex.org/I11923345"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Rafal Zdunek","raw_affiliation_strings":["Wroclaw University of Technology, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Wroclaw University of Technology, Poland","institution_ids":["https://openalex.org/I11923345"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018676117","display_name":"Andrzej S Cichocki","orcid":"https://orcid.org/0000-0002-8364-7226","observed_orcids":["https://orcid.org/0000-0002-8364-7226"]},"institutions":[{"id":"https://openalex.org/I2800939219","display_name":"RIKEN Center for Brain Science","ror":"https://ror.org/04j1n1c04","country_code":"JP","type":"facility","lineage":["https://openalex.org/I2800939219","https://openalex.org/I4210110652"]},{"id":"https://openalex.org/I4210110652","display_name":"RIKEN","ror":"https://ror.org/01sjwvz98","country_code":"JP","type":"facility","lineage":["https://openalex.org/I4210110652"]},{"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"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"government","lineage":["https://openalex.org/I99542240"]}],"countries":["JP","PL"],"is_corresponding":false,"raw_author_name":"Andrzej Cichocki","raw_affiliation_strings":["RIKEN Brain Science Institute, Japan","Systems Research Institute, Polish Academy of Science, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"RIKEN Brain Science Institute, Japan","institution_ids":["https://openalex.org/I2800939219","https://openalex.org/I4210110652"]},{"raw_affiliation_string":"Systems Research Institute, Polish Academy of Science, Poland","institution_ids":["https://openalex.org/I66083562","https://openalex.org/I99542240"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091563396","display_name":"Yukihiko Yamashita","orcid":"https://orcid.org/0000-0002-9757-3117","observed_orcids":["https://orcid.org/0000-0002-9757-3117"]},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698","https://openalex.org/I4400009020"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yukihiko Yamashita","raw_affiliation_strings":["Tokyo Institute of Technology, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tokyo Institute of Technology, Japan","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5039764322"],"corresponding_institution_ids":["https://openalex.org/I2800939219","https://openalex.org/I4210110652"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":null,"fwci":1.3217,"has_fulltext":false,"cited_by_count":54,"citation_normalized_percentile":{"value":0.77887789,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"113","issue":null,"first_page":"234","last_page":"249"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9984999895095825,"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":0.9984999895095825,"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/T10057","display_name":"Face and Expression Recognition","score":0.00039999998989515007,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.0003000000142492354,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/non-negative-matrix-factorization","display_name":"non-negative matrix factorization","score":0.9620000123977661},{"id":"https://openalex.org/keywords/smoothness-constraint","display_name":"smoothness constraint","score":0.8180000185966492},{"id":"https://openalex.org/keywords/nonnegative-tensor-factorization","display_name":"nonnegative tensor factorization","score":0.8579999804496765},{"id":"https://openalex.org/keywords/tucker-decomposition","display_name":"Tucker decomposition","score":0.7940000295639038},{"id":"https://openalex.org/keywords/canonical-polyadic-decomposition","display_name":"canonical polyadic decomposition","score":0.9909999966621399},{"id":"https://openalex.org/keywords/noise-robustness","display_name":"noise robustness","score":0.7599999904632568},{"id":"https://openalex.org/keywords/basis-functions","display_name":"basis functions","score":0.6010000109672546},{"id":"https://openalex.org/keywords/sparse-nmf","display_name":"sparse NMF","score":0.6330000162124634}],"concepts":[{"id":"https://openalex.org/C152671427","wikidata":"https://www.wikidata.org/wiki/Q10843505","display_name":"Non-negative matrix factorization","level":4,"score":0.9107762575149536},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.6757622957229614},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.627273440361023},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5548304319381714},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5097655653953552},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49666815996170044},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4914151430130005},{"id":"https://openalex.org/C2777749129","wikidata":"https://www.wikidata.org/wiki/Q17148469","display_name":"Robust principal component analysis","level":3,"score":0.48087790608406067},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4798285961151123},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.46099379658699036},{"id":"https://openalex.org/C2780522230","wikidata":"https://www.wikidata.org/wiki/Q1140419","display_name":"Ambiguity","level":2,"score":0.43913304805755615},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.432489812374115},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3795982599258423},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33821436762809753},{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.3006290793418884},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2377544343471527},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12431830167770386},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/j.sigpro.2015.02.003","doi":"https://doi.org/10.1016/j.sigpro.2015.02.003","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.sigpro.2015.02.003","pdf_url":null,"source":{"id":"https://openalex.org/S154637859","display_name":"Signal Processing","issn_l":"0165-1684","issn":["0165-1684","1872-7557"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","ccf-c","cwts-core","dongbi-b","jufo-2","ki-jl-1","norway-1","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:irdb.nii.ac.jp:00897:0004328787","doi":null,"is_oa":false,"landing_page_url":"http://t2r2.star.titech.ac.jp/cgi-bin/publicationinfo.cgi?q_publication_content_number=CTT100812121","pdf_url":null,"source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Signal Processing","raw_type":"journal article"},{"id":"pmh:oai:irdb.nii.ac.jp:01154:0001438131","doi":null,"is_oa":true,"landing_page_url":"https://nitech.repo.nii.ac.jp/records/6335","pdf_url":null,"source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Signal Processing","raw_type":"journal article"},{"id":"pmh:oai:t2r2.star.titech.ac.jp:50503791","doi":null,"is_oa":false,"landing_page_url":"http://t2r2.star.titech.ac.jp/cgi-bin/publicationinfo.cgi?q_publication_content_number=CTT100812121","pdf_url":null,"source":{"id":"https://openalex.org/S4377196385","display_name":"Tokyo Tech Research Repository (Tokyo Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I114531698","host_organization_name":"Tokyo Institute of Technology","host_organization_lineage":["https://openalex.org/I114531698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:irdb.nii.ac.jp:01154:0001438131","doi":null,"is_oa":true,"landing_page_url":"https://nitech.repo.nii.ac.jp/records/6335","pdf_url":null,"source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Signal Processing","raw_type":"journal article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W72554878","https://openalex.org/W109238285","https://openalex.org/W1489793438","https://openalex.org/W1593206368","https://openalex.org/W1594523130","https://openalex.org/W1878611151","https://openalex.org/W1878964055","https://openalex.org/W1902027874","https://openalex.org/W1981885934","https://openalex.org/W1983467829","https://openalex.org/W1995372796","https://openalex.org/W2000023271","https://openalex.org/W2000215628","https://openalex.org/W2013029404","https://openalex.org/W2026034143","https://openalex.org/W2054074553","https://openalex.org/W2069214509","https://openalex.org/W2075665712","https://openalex.org/W2091449379","https://openalex.org/W2101837437","https://openalex.org/W2102536337","https://openalex.org/W2103056111","https://openalex.org/W2106771705","https://openalex.org/W2106789617","https://openalex.org/W2117852776","https://openalex.org/W2118718620","https://openalex.org/W2121647436","https://openalex.org/W2121739212","https://openalex.org/W2125604471","https://openalex.org/W2135029798","https://openalex.org/W2138188041","https://openalex.org/W2146913572","https://openalex.org/W2148603752","https://openalex.org/W2168103112","https://openalex.org/W2222512263","https://openalex.org/W2333836441","https://openalex.org/W2404400936","https://openalex.org/W2482276862","https://openalex.org/W4246180809","https://openalex.org/W4250766106"],"related_works":["https://openalex.org/W2108837778","https://openalex.org/W7145116722","https://openalex.org/W2017288758","https://openalex.org/W2350965904","https://openalex.org/W1246381107","https://openalex.org/W2122932202","https://openalex.org/W4416158810","https://openalex.org/W2982396393","https://openalex.org/W7096076643","https://openalex.org/W2614724617"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}