{"id":"https://openalex.org/W2072275630","doi":"https://doi.org/10.1007/s10618-012-0265-y","title":"Solving non-negative matrix factorization by alternating least squares with a modified strategy","display_name":"Solving non-negative matrix factorization by alternating least squares with a modified strategy","publication_year":2012,"publication_date":"2012-04-17","ids":{"openalex":"https://openalex.org/W2072275630","doi":"https://doi.org/10.1007/s10618-012-0265-y","mag":"2072275630"},"language":"en","primary_location":{"id":"doi:10.1007/s10618-012-0265-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10618-012-0265-y","pdf_url":null,"source":{"id":"https://openalex.org/S121920818","display_name":"Data Mining and Knowledge Discovery","issn_l":"1384-5810","issn":["1384-5810","1573-756X"],"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":"Data Mining and Knowledge Discovery","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/A5100411968","display_name":"Hongwei Liu","orcid":"https://orcid.org/0000-0003-4046-163X"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hongwei Liu","raw_affiliation_strings":["Department of Mathematics, Xidian University, Xi\u2019an, 710071, People\u2019s Republic of China","Department of Mathematics, Xidian University, Xi'an, 710071, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Xidian University, Xi\u2019an, 710071, People\u2019s Republic of China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"Department of Mathematics, Xidian University, Xi'an, 710071, People's Republic of China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016569030","display_name":"Xiangli Li","orcid":"https://orcid.org/0000-0001-8753-2402"},"institutions":[{"id":"https://openalex.org/I5343935","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42","country_code":"CN","type":"education","lineage":["https://openalex.org/I5343935"]},{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiangli Li","raw_affiliation_strings":["College of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, 541004, People\u2019s Republic of China","Department of Mathematics, Xidian University, Xi\u2019an, 710071, People\u2019s Republic of China","Department of Mathematics, Xidian University, Xi'an, 710071, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, 541004, People\u2019s Republic of China","institution_ids":["https://openalex.org/I5343935"]},{"raw_affiliation_string":"Department of Mathematics, Xidian University, Xi\u2019an, 710071, People\u2019s Republic of China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"Department of Mathematics, Xidian University, Xi'an, 710071, People's Republic of China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079598018","display_name":"Xiuyun Zheng","orcid":"https://orcid.org/0000-0001-9844-8927"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiuyun Zheng","raw_affiliation_strings":["Department of Mathematics, Xidian University, Xi\u2019an, 710071, People\u2019s Republic of China","Department of Mathematics, Xidian University, Xi'an, 710071, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Xidian University, Xi\u2019an, 710071, People\u2019s Republic of China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"Department of Mathematics, Xidian University, Xi'an, 710071, People's Republic of China","institution_ids":["https://openalex.org/I149594827"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100411968"],"corresponding_institution_ids":["https://openalex.org/I149594827"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.2406,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.830373,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"26","issue":"3","first_page":"435","last_page":"451"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9769999980926514,"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"}},"topics":[{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9769999980926514,"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"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9581000208854675,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9577000141143799,"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/non-negative-matrix-factorization","display_name":"Non-negative matrix factorization","score":0.795595109462738},{"id":"https://openalex.org/keywords/stationary-point","display_name":"Stationary point","score":0.6629230976104736},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6289505958557129},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6262975931167603},{"id":"https://openalex.org/keywords/limit-point","display_name":"Limit point","score":0.5461803674697876},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5164139866828918},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5036203265190125},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.49390727281570435},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.4797428846359253},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.4571097493171692},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.43987399339675903},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.4334312677383423},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3631167411804199},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35958945751190186},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.230422705411911},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1809864044189453},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14731675386428833},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.09708866477012634}],"concepts":[{"id":"https://openalex.org/C152671427","wikidata":"https://www.wikidata.org/wiki/Q10843505","display_name":"Non-negative matrix factorization","level":4,"score":0.795595109462738},{"id":"https://openalex.org/C189237950","wikidata":"https://www.wikidata.org/wiki/Q2500758","display_name":"Stationary point","level":2,"score":0.6629230976104736},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6289505958557129},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6262975931167603},{"id":"https://openalex.org/C63548660","wikidata":"https://www.wikidata.org/wiki/Q858223","display_name":"Limit point","level":2,"score":0.5461803674697876},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5164139866828918},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5036203265190125},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.49390727281570435},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.4797428846359253},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.4571097493171692},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.43987399339675903},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.4334312677383423},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3631167411804199},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35958945751190186},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.230422705411911},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1809864044189453},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14731675386428833},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.09708866477012634},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10618-012-0265-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10618-012-0265-y","pdf_url":null,"source":{"id":"https://openalex.org/S121920818","display_name":"Data Mining and Knowledge Discovery","issn_l":"1384-5810","issn":["1384-5810","1573-756X"],"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":"Data Mining and Knowledge Discovery","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"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":33,"referenced_works":["https://openalex.org/W33552945","https://openalex.org/W72893484","https://openalex.org/W88153722","https://openalex.org/W206759535","https://openalex.org/W1489499640","https://openalex.org/W1491548974","https://openalex.org/W1565719317","https://openalex.org/W1902027874","https://openalex.org/W1969182276","https://openalex.org/W2002797541","https://openalex.org/W2037717214","https://openalex.org/W2053566983","https://openalex.org/W2059745395","https://openalex.org/W2064690543","https://openalex.org/W2076566842","https://openalex.org/W2089079408","https://openalex.org/W2092423825","https://openalex.org/W2100493539","https://openalex.org/W2110096996","https://openalex.org/W2117824861","https://openalex.org/W2118804867","https://openalex.org/W2132538571","https://openalex.org/W2135029798","https://openalex.org/W2135384781","https://openalex.org/W2136787567","https://openalex.org/W2137573778","https://openalex.org/W2141571186","https://openalex.org/W2146913572","https://openalex.org/W2153775038","https://openalex.org/W2165685007","https://openalex.org/W2170608748","https://openalex.org/W2749035964","https://openalex.org/W3143596294"],"related_works":["https://openalex.org/W2127243424","https://openalex.org/W4390394189","https://openalex.org/W2037504162","https://openalex.org/W2539013788","https://openalex.org/W2792706544","https://openalex.org/W1568451138","https://openalex.org/W2156699640","https://openalex.org/W2045265907","https://openalex.org/W2972997031","https://openalex.org/W2075222291"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}