{"id":"https://openalex.org/W2152353763","doi":"https://doi.org/10.1007/s11265-006-0039-0","title":"Non-negative Matrix Factorization with Orthogonality Constraints and its Application to Raman Spectroscopy","display_name":"Non-negative Matrix Factorization with Orthogonality Constraints and its Application to Raman Spectroscopy","publication_year":2007,"publication_date":"2007-02-24","ids":{"openalex":"https://openalex.org/W2152353763","doi":"https://doi.org/10.1007/s11265-006-0039-0","mag":"2152353763"},"language":"en","primary_location":{"id":"doi:10.1007/s11265-006-0039-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11265-006-0039-0","pdf_url":null,"source":{"id":"https://openalex.org/S4210233059","display_name":"The Journal of VLSI Signal Processing Systems for Signal Image and Video Technology","issn_l":"0922-5773","issn":["0922-5773","1573-109X"],"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":"The Journal of VLSI Signal Processing Systems for Signal, Image, and Video Technology","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/A5006405359","display_name":"Hualiang Li","orcid":"https://orcid.org/0000-0003-0126-2056"},"institutions":[{"id":"https://openalex.org/I79272384","display_name":"University of Maryland, Baltimore County","ror":"https://ror.org/02qskvh78","country_code":"US","type":"education","lineage":["https://openalex.org/I79272384"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Hualiang Li","raw_affiliation_strings":["Department of CSEE, University of Maryland Baltimore County, Baltimore, MD, USA"],"affiliations":[{"raw_affiliation_string":"Department of CSEE, University of Maryland Baltimore County, Baltimore, MD, USA","institution_ids":["https://openalex.org/I79272384"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109241819","display_name":"T. Adal","orcid":null},"institutions":[{"id":"https://openalex.org/I79272384","display_name":"University of Maryland, Baltimore County","ror":"https://ror.org/02qskvh78","country_code":"US","type":"education","lineage":["https://openalex.org/I79272384"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"T\u00fclay Adal","raw_affiliation_strings":["Department of CSEE, University of Maryland Baltimore County, Baltimore, MD, USA"],"affiliations":[{"raw_affiliation_string":"Department of CSEE, University of Maryland Baltimore County, Baltimore, MD, USA","institution_ids":["https://openalex.org/I79272384"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100392089","display_name":"Wei Wang","orcid":"https://orcid.org/0000-0002-8180-2886"},"institutions":[{"id":"https://openalex.org/I79272384","display_name":"University of Maryland, Baltimore County","ror":"https://ror.org/02qskvh78","country_code":"US","type":"education","lineage":["https://openalex.org/I79272384"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wei Wang","raw_affiliation_strings":["Department of CSEE, University of Maryland Baltimore County, Baltimore, MD, USA"],"affiliations":[{"raw_affiliation_string":"Department of CSEE, University of Maryland Baltimore County, Baltimore, MD, USA","institution_ids":["https://openalex.org/I79272384"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083300115","display_name":"Darren K. Emge","orcid":"https://orcid.org/0000-0003-0038-9602"},"institutions":[{"id":"https://openalex.org/I166416128","display_name":"DEVCOM Army Research Laboratory","ror":"https://ror.org/011hc8f90","country_code":"US","type":"government","lineage":["https://openalex.org/I1304082316","https://openalex.org/I1330347796","https://openalex.org/I166416128","https://openalex.org/I2802705668","https://openalex.org/I4210154437"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Darren Emge","raw_affiliation_strings":["US Army Research, Aberdeen Proving Grounds, Aberdeen, MD, 21010, USA"],"affiliations":[{"raw_affiliation_string":"US Army Research, Aberdeen Proving Grounds, Aberdeen, MD, 21010, USA","institution_ids":["https://openalex.org/I166416128"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018676117","display_name":"Andrzej Cichocki","orcid":"https://orcid.org/0000-0002-8364-7226"},"institutions":[{"id":"https://openalex.org/I108403487","display_name":"Warsaw University of Technology","ror":"https://ror.org/00y0xnp53","country_code":"PL","type":"education","lineage":["https://openalex.org/I108403487"]},{"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"]}],"countries":["JP","PL"],"is_corresponding":false,"raw_author_name":"Andrzej Cichocki","raw_affiliation_strings":["Laboratory for Advanced Brain Signal Processing, Brain Science Institute, Riken 2-1 Hirosawa, Wako-shi, Saitama, 351-0198, Japan","Warsaw University of Technology, Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Laboratory for Advanced Brain Signal Processing, Brain Science Institute, Riken 2-1 Hirosawa, Wako-shi, Saitama, 351-0198, Japan","institution_ids":["https://openalex.org/I2800939219"]},{"raw_affiliation_string":"Warsaw University of Technology, Warsaw, Poland","institution_ids":["https://openalex.org/I108403487"]}]},{"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/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/I108403487","display_name":"Warsaw University of Technology","ror":"https://ror.org/00y0xnp53","country_code":"PL","type":"education","lineage":["https://openalex.org/I108403487"]}],"countries":["JP","PL"],"is_corresponding":false,"raw_author_name":"Andrzej Cichocki","raw_affiliation_strings":["Laboratory for Advanced Brain Signal Processing, Brain Science Institute, Riken 2-1 Hirosawa, Wako-shi, Saitama, 351-0198, Japan","Warsaw University of Technology, Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Laboratory for Advanced Brain Signal Processing, Brain Science Institute, Riken 2-1 Hirosawa, Wako-shi, Saitama, 351-0198, Japan","institution_ids":["https://openalex.org/I2800939219"]},{"raw_affiliation_string":"Warsaw University of Technology, Warsaw, Poland","institution_ids":["https://openalex.org/I108403487"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5006405359"],"corresponding_institution_ids":["https://openalex.org/I79272384"],"apc_list":null,"apc_paid":null,"fwci":3.2975,"has_fulltext":false,"cited_by_count":73,"citation_normalized_percentile":{"value":0.90903025,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"48","issue":"1-2","first_page":"83","last_page":"97"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10640","display_name":"Spectroscopy and Chemometric Analyses","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1602","display_name":"Analytical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10640","display_name":"Spectroscopy and Chemometric Analyses","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1602","display_name":"Analytical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11324","display_name":"Spectroscopy Techniques in Biomedical and Chemical Research","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10689","display_name":"Remote-Sensing Image Classification","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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/orthogonality","display_name":"Orthogonality","score":0.9536837339401245},{"id":"https://openalex.org/keywords/non-negative-matrix-factorization","display_name":"Non-negative matrix factorization","score":0.9087878465652466},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.7408245205879211},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.6105589270591736},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5250111222267151},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5237659811973572},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.5062869787216187},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.43685734272003174},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42805173993110657},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41361385583877563},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41292473673820496},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3621680438518524},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32398805022239685},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19550272822380066},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18920931220054626},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.18663039803504944},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.1706496775150299},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0726117491722107}],"concepts":[{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.9536837339401245},{"id":"https://openalex.org/C152671427","wikidata":"https://www.wikidata.org/wiki/Q10843505","display_name":"Non-negative matrix factorization","level":4,"score":0.9087878465652466},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.7408245205879211},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.6105589270591736},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5250111222267151},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5237659811973572},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.5062869787216187},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.43685734272003174},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42805173993110657},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41361385583877563},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41292473673820496},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3621680438518524},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32398805022239685},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19550272822380066},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18920931220054626},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.18663039803504944},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.1706496775150299},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0726117491722107},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11265-006-0039-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11265-006-0039-0","pdf_url":null,"source":{"id":"https://openalex.org/S4210233059","display_name":"The Journal of VLSI Signal Processing Systems for Signal Image and Video Technology","issn_l":"0922-5773","issn":["0922-5773","1573-109X"],"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":"The Journal of VLSI Signal Processing Systems for Signal, Image, and Video Technology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1497229845","https://openalex.org/W1547060653","https://openalex.org/W1557337586","https://openalex.org/W1565719317","https://openalex.org/W1629332708","https://openalex.org/W1902027874","https://openalex.org/W1959013360","https://openalex.org/W1997851541","https://openalex.org/W2017288758","https://openalex.org/W2099595379","https://openalex.org/W2110096996","https://openalex.org/W2118718620","https://openalex.org/W2123050808","https://openalex.org/W2135029798","https://openalex.org/W2136171036","https://openalex.org/W2138103367","https://openalex.org/W2140318696","https://openalex.org/W2146913572","https://openalex.org/W2168446235","https://openalex.org/W2618093422","https://openalex.org/W3029645440","https://openalex.org/W3143596294","https://openalex.org/W4285719527","https://openalex.org/W4293775970","https://openalex.org/W4298794401"],"related_works":["https://openalex.org/W2153775038","https://openalex.org/W2152353763","https://openalex.org/W2065762479","https://openalex.org/W2127243424","https://openalex.org/W2302542513","https://openalex.org/W4390394189","https://openalex.org/W2149305241","https://openalex.org/W2037504162","https://openalex.org/W2089917999","https://openalex.org/W2539013788"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":6}],"updated_date":"2026-03-14T08:43:22.919905","created_date":"2025-10-10T00:00:00"}
