{"id":"https://openalex.org/W2207186510","doi":"https://doi.org/10.1109/bibm.2015.7359923","title":"The Nonnegative Matrix Factorization and atomic deconvolution","display_name":"The Nonnegative Matrix Factorization and atomic deconvolution","publication_year":2015,"publication_date":"2015-11-01","ids":{"openalex":"https://openalex.org/W2207186510","doi":"https://doi.org/10.1109/bibm.2015.7359923","mag":"2207186510"},"language":"en","primary_location":{"id":"doi:10.1109/bibm.2015.7359923","is_oa":false,"landing_page_url":"https://doi.org/10.1109/bibm.2015.7359923","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Conference on Bioinformatics and Biomedicine (BIBM)","raw_type":"proceedings-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/A5004826461","display_name":"Kazufumi Ito","orcid":"https://orcid.org/0000-0003-2417-2600"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Kazufumi Ito","raw_affiliation_strings":["Department of Mathematics, North Carolina State University, Raleigh, NC"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, North Carolina State University, Raleigh, NC","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091592580","display_name":"Amanda Landi","orcid":"https://orcid.org/0000-0003-1847-4450"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Amanda K. Landi","raw_affiliation_strings":["Department of Mathematics, North Carolina State University, Raleigh, NC"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, North Carolina State University, Raleigh, NC","institution_ids":["https://openalex.org/I137902535"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5004826461"],"corresponding_institution_ids":["https://openalex.org/I137902535"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08664664,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":null,"first_page":"1650","last_page":"1657"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9962000250816345,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9962000250816345,"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"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9922000169754028,"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/T12169","display_name":"Non-Destructive Testing Techniques","score":0.9857000112533569,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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/non-negative-matrix-factorization","display_name":"Non-negative matrix factorization","score":0.8257544040679932},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.687883734703064},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.6626233458518982},{"id":"https://openalex.org/keywords/deconvolution","display_name":"Deconvolution","score":0.6433977484703064},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5664729475975037},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.5073994994163513},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.49403029680252075},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4851123094558716},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.4795786440372467},{"id":"https://openalex.org/keywords/blind-deconvolution","display_name":"Blind deconvolution","score":0.46045923233032227},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.439943790435791},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.419574111700058},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.41691720485687256},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3997185230255127},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3249904215335846},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.14501315355300903},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.10517534613609314}],"concepts":[{"id":"https://openalex.org/C152671427","wikidata":"https://www.wikidata.org/wiki/Q10843505","display_name":"Non-negative matrix factorization","level":4,"score":0.8257544040679932},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.687883734703064},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.6626233458518982},{"id":"https://openalex.org/C174576160","wikidata":"https://www.wikidata.org/wiki/Q1183700","display_name":"Deconvolution","level":2,"score":0.6433977484703064},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5664729475975037},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.5073994994163513},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.49403029680252075},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4851123094558716},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.4795786440372467},{"id":"https://openalex.org/C30044814","wikidata":"https://www.wikidata.org/wiki/Q11334452","display_name":"Blind deconvolution","level":3,"score":0.46045923233032227},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.439943790435791},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.419574111700058},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.41691720485687256},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3997185230255127},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3249904215335846},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.14501315355300903},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.10517534613609314},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/bibm.2015.7359923","is_oa":false,"landing_page_url":"https://doi.org/10.1109/bibm.2015.7359923","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Conference on Bioinformatics and Biomedicine (BIBM)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1902027874","https://openalex.org/W1986931325","https://openalex.org/W1996287810","https://openalex.org/W2008251891","https://openalex.org/W2059745395","https://openalex.org/W2088909704","https://openalex.org/W2118718620","https://openalex.org/W2129167428","https://openalex.org/W2135029798","https://openalex.org/W2138966546","https://openalex.org/W2158196600","https://openalex.org/W2170608748","https://openalex.org/W2338670514","https://openalex.org/W2528009039","https://openalex.org/W2571268788","https://openalex.org/W2787198218","https://openalex.org/W3143596294","https://openalex.org/W4244243830","https://openalex.org/W6677759377","https://openalex.org/W6704003677","https://openalex.org/W6727772437","https://openalex.org/W6793301333"],"related_works":["https://openalex.org/W2034520358","https://openalex.org/W2028099218","https://openalex.org/W2059639161","https://openalex.org/W2586325539","https://openalex.org/W2058895457","https://openalex.org/W1538056422","https://openalex.org/W2029084792","https://openalex.org/W2023738877","https://openalex.org/W2147401053","https://openalex.org/W4294224199"],"abstract_inverted_index":{"The":[0],"Nonnegative":[1],"Matrix":[2],"Factorization":[3],"is":[4,52],"an":[5,53,131,138],"unsupervised":[6],"maching":[7],"learning":[8],"technique":[9],"that":[10,114,135],"finds":[11],"a":[12,32,123,168],"representation":[13,133],"of":[14,19,85,97,106,140,158],"measured":[15],"data":[16,59,62],"in":[17,28,57,68,72,82,171],"terms":[18],"two":[20,91,160],"low-rank":[21],"factors.":[22],"It":[23],"has":[24],"recently":[25],"gained":[26],"popularity":[27],"various":[29],"applications":[30],"as":[31,61],"feature":[33],"selection":[34],"and":[35,44,100,143,166],"dimension":[36],"reduction":[37],"tool,":[38],"e.g.":[39],"text":[40],"mining,":[41],"signal":[42,142],"processing,":[43],"image":[45],"processing.":[46],"Thus,":[47],"the":[48,79,83,86,90,94,104,107,112,116,126,141,144,156,159,163],"nonnegative":[49],"matrix":[50],"factorization":[51],"increasingly":[54],"important":[55],"tool":[56],"big":[58],"analysis":[60,81],"continues":[63],"to":[64,162,173],"grow":[65],"not":[66],"only":[67],"size":[69],"but":[70],"also":[71],"complexity.":[73],"In":[74,146],"this":[75],"paper,":[76],"we":[77,121,136,154],"advance":[78],"NMF":[80,132],"case":[84,105],"convolution.":[87],"That":[88],"is,":[89],"factors":[92,161],"have":[93],"clear":[95],"roles":[96],"convolution":[98],"kernel":[99],"signal.":[101],"Specifically,":[102,153],"for":[103,125],"point-spread":[108],"function,":[109],"atoms":[110],"are":[111],"weights":[113],"describe":[115],"kernel.":[117,145],"Using":[118],"proper":[119],"atoms,":[120],"develop":[122,167],"method":[124,170],"blind":[127],"deconvolution":[128],"based":[129],"on":[130],"so":[134],"obtain":[137],"estimate":[139],"addition,":[147],"with":[148],"Magnetic":[149],"Resonance":[150],"Imaging":[151],"(MRI).":[152],"extend":[155],"idea":[157],"Fourier":[164],"transform":[165],"coordinate-descent":[169],"order":[172],"determine":[174],"phases.":[175]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}