{"id":"https://openalex.org/W4403182181","doi":"https://doi.org/10.1109/tsp.2024.3474530","title":"Algorithms for Non-Negative Matrix Factorization on Noisy Data With Negative Values","display_name":"Algorithms for Non-Negative Matrix Factorization on Noisy Data With Negative Values","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4403182181","doi":"https://doi.org/10.1109/tsp.2024.3474530"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2024.3474530","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tsp.2024.3474530","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1109/tsp.2024.3474530","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031368386","display_name":"D. Green","orcid":"https://orcid.org/0000-0002-0676-3661"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dylan Green","raw_affiliation_strings":["Department of Physics and Astronomy, University of California Irvine, Irvine, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Physics and Astronomy, University of California Irvine, Irvine, CA, USA","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036125612","display_name":"S. Bailey","orcid":"https://orcid.org/0000-0003-4162-6619"},"institutions":[{"id":"https://openalex.org/I148283060","display_name":"Lawrence Berkeley National Laboratory","ror":"https://ror.org/02jbv0t02","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stephen Bailey","raw_affiliation_strings":["Lawrence Berkeley National Laboratory, Berkeley, CA, USA"],"affiliations":[{"raw_affiliation_string":"Lawrence Berkeley National Laboratory, Berkeley, CA, USA","institution_ids":["https://openalex.org/I148283060"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5031368386"],"corresponding_institution_ids":["https://openalex.org/I204250578"],"apc_list":null,"apc_paid":null,"fwci":0.9708,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.77105404,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"72","issue":null,"first_page":"5187","last_page":"5197"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9934999942779541,"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"}},"topics":[{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9934999942779541,"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/T10320","display_name":"Neural Networks and Applications","score":0.9898999929428101,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9876999855041504,"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":0.6526959538459778},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.6423051357269287},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49534884095191956},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4619280695915222},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.362526535987854},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10729214549064636},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.10172164440155029}],"concepts":[{"id":"https://openalex.org/C152671427","wikidata":"https://www.wikidata.org/wiki/Q10843505","display_name":"Non-negative matrix factorization","level":4,"score":0.6526959538459778},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.6423051357269287},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49534884095191956},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4619280695915222},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.362526535987854},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10729214549064636},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.10172164440155029},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tsp.2024.3474530","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tsp.2024.3474530","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:escholarship.org:ark:/13030/qt3c83f3j6","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/3c83f3j6","pdf_url":"https://escholarship.org/content/qt3c83f3j6/qt3c83f3j6.pdf","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:osti.gov:2477466","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/2477466","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null},{"id":"pmh:oai:osti.gov:2480306","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/2480306","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null}],"best_oa_location":{"id":"doi:10.1109/tsp.2024.3474530","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tsp.2024.3474530","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1286236842","display_name":null,"funder_award_id":"-AC02-05CH11231","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G1311044274","display_name":null,"funder_award_id":"DE-AC02-05CH11231","funder_id":"https://openalex.org/F4320337513","funder_display_name":"Workforce Development for Teachers and Scientists"},{"id":"https://openalex.org/G1677143136","display_name":null,"funder_award_id":"05CH11231","funder_id":"https://openalex.org/F4320317220","funder_display_name":"National Energy Research Scientific Computing Center"},{"id":"https://openalex.org/G3083819904","display_name":null,"funder_award_id":"05CH11231","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G3693359901","display_name":null,"funder_award_id":"DE-AC02-05CH1123","funder_id":"https://openalex.org/F4320332382","funder_display_name":"Oak Ridge Institute for Science and Education"},{"id":"https://openalex.org/G3944918260","display_name":null,"funder_award_id":"DE-AC02-05CH11231","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G425189044","display_name":null,"funder_award_id":"DE-AC02-05CH","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G4369507515","display_name":null,"funder_award_id":"NERSC","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G4501827968","display_name":null,"funder_award_id":"AC02-05CH11231","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G4565140552","display_name":null,"funder_award_id":"-AC02-05CH11231","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G4595715711","display_name":null,"funder_award_id":"DE-SC0014664","funder_id":"https://openalex.org/F4320337513","funder_display_name":"Workforce Development for Teachers and Scientists"},{"id":"https://openalex.org/G4836011687","display_name":null,"funder_award_id":"DE-AC02-05CH11231","funder_id":"https://openalex.org/F4320337511","funder_display_name":"High Energy Physics"},{"id":"https://openalex.org/G4841871747","display_name":null,"funder_award_id":"DE_AC02-05CH11231","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G498139845","display_name":null,"funder_award_id":"DE-AC02","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G5070048936","display_name":null,"funder_award_id":"DE-AC02-05CH11231","funder_id":"https://openalex.org/F4320332382","funder_display_name":"Oak Ridge Institute for Science and Education"},{"id":"https://openalex.org/G5076365615","display_name":null,"funder_award_id":"AC02-05CH11231","funder_id":"https://openalex.org/F4320317220","funder_display_name":"National Energy Research Scientific Computing Center"},{"id":"https://openalex.org/G5315912995","display_name":null,"funder_award_id":"11231","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G5573547519","display_name":null,"funder_award_id":"SCGSR","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G5600677258","display_name":null,"funder_award_id":"U.S. DOE","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G5614806141","display_name":null,"funder_award_id":"DE-AC02-05CH11231","funder_id":"https://openalex.org/F4320317220","funder_display_name":"National Energy Research Scientific Computing Center"},{"id":"https://openalex.org/G5802748842","display_name":null,"funder_award_id":"DE-AC02-05CH112","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G6017181652","display_name":null,"funder_award_id":"SC0014664","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G6240156091","display_name":null,"funder_award_id":"DE-SC0014664","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G6330738325","display_name":null,"funder_award_id":"DE_AC02_05CH11231","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G6348972864","display_name":null,"funder_award_id":"AC02-05CH11231","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G6429026066","display_name":null,"funder_award_id":"DE-AC02-05CH112","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G6558272803","display_name":null,"funder_award_id":"DE-AC02","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G7340683655","display_name":null,"funder_award_id":"E-AC02-05CH11231","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G7406122311","display_name":null,"funder_award_id":"AC02-05CH1123","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G7530408006","display_name":null,"funder_award_id":"SCGSR","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G7619220232","display_name":null,"funder_award_id":"SC0014664","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G7664691372","display_name":null,"funder_award_id":"DE-AC02-05CH1123","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G7739590409","display_name":null,"funder_award_id":"DE-SC0014664","funder_id":"https://openalex.org/F4320332382","funder_display_name":"Oak Ridge Institute for Science and Education"},{"id":"https://openalex.org/G7825954517","display_name":null,"funder_award_id":"DE-AC02-05CH1123","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G7861570460","display_name":null,"funder_award_id":"DE-AC02-05CH1123","funder_id":"https://openalex.org/F4320317220","funder_display_name":"National Energy Research Scientific Computing Center"},{"id":"https://openalex.org/G8414908677","display_name":null,"funder_award_id":"DE-AC0","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G8570346810","display_name":null,"funder_award_id":"SC0014664","funder_id":"https://openalex.org/F4320332382","funder_display_name":"Oak Ridge Institute for Science and Education"},{"id":"https://openalex.org/G897164627","display_name":null,"funder_award_id":"DE-AC02_05CH11231","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G969889393","display_name":null,"funder_award_id":"DE-AC02-","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320317220","display_name":"National Energy Research Scientific Computing Center","ror":"https://ror.org/05v3mvq14"},{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"},{"id":"https://openalex.org/F4320332382","display_name":"Oak Ridge Institute for Science and Education","ror":"https://ror.org/0526p1y61"},{"id":"https://openalex.org/F4320337511","display_name":"High Energy Physics","ror":"https://ror.org/035m6g344"},{"id":"https://openalex.org/F4320337513","display_name":"Workforce Development for Teachers and Scientists","ror":"https://ror.org/05msy3529"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1538685017","https://openalex.org/W1976391658","https://openalex.org/W1997354840","https://openalex.org/W2027357158","https://openalex.org/W2028715663","https://openalex.org/W2059745395","https://openalex.org/W2064690543","https://openalex.org/W2065072463","https://openalex.org/W2082946249","https://openalex.org/W2154889989","https://openalex.org/W2156459128","https://openalex.org/W2158146385","https://openalex.org/W2211491388","https://openalex.org/W2536302544","https://openalex.org/W2597356648","https://openalex.org/W2781090973","https://openalex.org/W2952332592","https://openalex.org/W2966885495","https://openalex.org/W3003257820","https://openalex.org/W3014641307","https://openalex.org/W3035965352","https://openalex.org/W3043531208","https://openalex.org/W3099369182","https://openalex.org/W3099627581","https://openalex.org/W3099826393","https://openalex.org/W3099878876","https://openalex.org/W3101642790","https://openalex.org/W3101790962","https://openalex.org/W3104100772","https://openalex.org/W3108127575","https://openalex.org/W3123302172","https://openalex.org/W3175242715","https://openalex.org/W4298183056","https://openalex.org/W4377121463","https://openalex.org/W4380551319","https://openalex.org/W4386644541","https://openalex.org/W6680012447","https://openalex.org/W6735341444"],"related_works":["https://openalex.org/W4391375266","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"],"abstract_inverted_index":{"Non-negative":[0],"matrix":[1],"factorization":[2],"(NMF)":[3],"is":[4,40],"a":[5,52],"dimensionality":[6],"reduction":[7],"technique":[8],"that":[9,77,114,135],"has":[10,46],"shown":[11],"promise":[12],"for":[13,59],"analyzing":[14],"noisy":[15],"data,":[16],"especially":[17],"astronomical":[18],"data.":[19,121],"For":[20],"these":[21,94],"datasets,":[22],"the":[23,35,81,84,97],"observed":[24],"data":[25,50,62,86,99],"may":[26],"contain":[27],"negative":[28,49,65,98,120],"values":[29],"due":[30],"to":[31],"noise":[32],"even":[33],"when":[34,116],"true":[36],"underlying":[37],"physical":[38],"signal":[39],"strictly":[41],"positive.":[42],"Prior":[43],"NMF":[44],"work":[45],"not":[47],"treated":[48],"in":[51],"statistically":[53],"consistent":[54],"manner,":[55],"which":[56],"becomes":[57],"problematic":[58],"low":[60],"signal-to-noise":[61],"with":[63],"many":[64],"values.":[66],"In":[67],"this":[68,124],"paper":[69],"we":[70],"present":[71],"two":[72],"algorithms,":[73],"Shift-NMF":[74],"and":[75,87,105,129,133],"Nearly-NMF,":[76],"can":[78],"handle":[79],"both":[80,127,136],"noisiness":[82],"of":[83,93],"input":[85],"also":[88],"any":[89,110],"introduced":[90,111],"negativity.":[91],"Both":[92],"algorithms":[95,137],"use":[96],"space":[100],"without":[101,109],"clipping":[102,117],"or":[103,118],"masking":[104,119],"recover":[106],"non-negative":[107],"signals":[108],"positive":[112],"offset":[113],"occurs":[115],"We":[122],"demonstrate":[123],"numerically":[125],"on":[126],"simple":[128],"more":[130],"realistic":[131],"examples,":[132],"prove":[134],"have":[138],"monotonically":[139],"decreasing":[140],"update":[141],"rules.":[142]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2}],"updated_date":"2026-04-15T08:11:43.952461","created_date":"2025-10-10T00:00:00"}