{"id":"https://openalex.org/W1981141404","doi":"https://doi.org/10.1137/110827223","title":"Nonnegative Sparse Blind Source Separation for NMR Spectroscopy by Data Clustering, Model Reduction, and $\\ell_1$ Minimization","display_name":"Nonnegative Sparse Blind Source Separation for NMR Spectroscopy by Data Clustering, Model Reduction, and $\\ell_1$ Minimization","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1981141404","doi":"https://doi.org/10.1137/110827223","mag":"1981141404"},"language":"en","primary_location":{"id":"doi:10.1137/110827223","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110827223","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","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/A5101562438","display_name":"Yuanchang Sun","orcid":"https://orcid.org/0000-0001-8534-4942"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Yuanchang Sun","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5059708262","display_name":"Jack Xin","orcid":"https://orcid.org/0000-0002-6438-8476"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jack Xin","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101562438"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7343,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.87025456,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"5","issue":"3","first_page":"886","last_page":"911"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T10640","display_name":"Spectroscopy and Chemometric Analyses","score":0.9958999752998352,"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/T10860","display_name":"Speech and Audio Processing","score":0.9760000109672546,"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/blind-signal-separation","display_name":"Blind signal separation","score":0.9024860858917236},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.6937621831893921},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5067556500434875},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48964911699295044},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4625064730644226},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.44936975836753845},{"id":"https://openalex.org/keywords/mixing","display_name":"Mixing (physics)","score":0.4338156282901764},{"id":"https://openalex.org/keywords/data-matrix","display_name":"Data Matrix","score":0.4335462749004364},{"id":"https://openalex.org/keywords/spectroscopy","display_name":"Spectroscopy","score":0.41948747634887695},{"id":"https://openalex.org/keywords/face","display_name":"Face (sociological concept)","score":0.4192747473716736},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4154483377933502},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.35784798860549927},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3550451993942261},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3451022505760193},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2995450496673584},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2818378210067749},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.25656944513320923},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24037471413612366},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.23976421356201172},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15582621097564697},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1502501666545868},{"id":"https://openalex.org/keywords/chromatography","display_name":"Chromatography","score":0.11587628722190857}],"concepts":[{"id":"https://openalex.org/C120317606","wikidata":"https://www.wikidata.org/wiki/Q17105967","display_name":"Blind signal separation","level":3,"score":0.9024860858917236},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6937621831893921},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5067556500434875},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48964911699295044},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4625064730644226},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.44936975836753845},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.4338156282901764},{"id":"https://openalex.org/C2780985081","wikidata":"https://www.wikidata.org/wiki/Q676502","display_name":"Data Matrix","level":5,"score":0.4335462749004364},{"id":"https://openalex.org/C32891209","wikidata":"https://www.wikidata.org/wiki/Q483666","display_name":"Spectroscopy","level":2,"score":0.41948747634887695},{"id":"https://openalex.org/C2779304628","wikidata":"https://www.wikidata.org/wiki/Q3503480","display_name":"Face (sociological concept)","level":2,"score":0.4192747473716736},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4154483377933502},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.35784798860549927},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3550451993942261},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3451022505760193},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2995450496673584},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2818378210067749},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.25656944513320923},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24037471413612366},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.23976421356201172},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15582621097564697},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1502501666545868},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.11587628722190857},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C193252679","wikidata":"https://www.wikidata.org/wiki/Q242125","display_name":"Phylogenetic tree","level":3,"score":0.0},{"id":"https://openalex.org/C44465124","wikidata":"https://www.wikidata.org/wiki/Q713623","display_name":"Clade","level":4,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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:10.1137/110827223","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110827223","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1485391971","https://openalex.org/W1548802052","https://openalex.org/W1902027874","https://openalex.org/W1977222244","https://openalex.org/W1987906574","https://openalex.org/W1988259167","https://openalex.org/W1996287810","https://openalex.org/W1997854217","https://openalex.org/W2004641397","https://openalex.org/W2011677178","https://openalex.org/W2015387841","https://openalex.org/W2019249717","https://openalex.org/W2031862061","https://openalex.org/W2033061754","https://openalex.org/W2038237443","https://openalex.org/W2058506383","https://openalex.org/W2059921811","https://openalex.org/W2066284085","https://openalex.org/W2071677464","https://openalex.org/W2076540020","https://openalex.org/W2099741732","https://openalex.org/W2103646841","https://openalex.org/W2109509344","https://openalex.org/W2128882537","https://openalex.org/W2151186643","https://openalex.org/W2160177263","https://openalex.org/W2163017958","https://openalex.org/W2165594460","https://openalex.org/W2291172723","https://openalex.org/W2313986711"],"related_works":["https://openalex.org/W2383482627","https://openalex.org/W2392054573","https://openalex.org/W2162758065","https://openalex.org/W2099940608","https://openalex.org/W2997589526","https://openalex.org/W4289145503","https://openalex.org/W2387756483","https://openalex.org/W2170833027","https://openalex.org/W2889447638","https://openalex.org/W1563200382"],"abstract_inverted_index":{"Motivated":[0],"by":[1,125,146],"applications":[2],"in":[3,128],"nuclear":[4],"magnetic":[5],"resonance":[6],"(NMR)":[7],"spectroscopy,":[8],"we":[9],"introduce":[10],"a":[11,99,138,162],"novel":[12],"blind":[13],"source":[14,45,96,124,171],"separation":[15],"(BSS)":[16],"approach":[17],"to":[18,33,104,137,167],"treat":[19],"nonnegative":[20],"and":[21,54,74,80,90,111,151],"correlated":[22],"data.":[23],"We":[24],"consider":[25],"the":[26,43,87,91,95,105,108,112,118,122,142,147,169,182],"(over)-determined":[27],"case":[28],"where":[29],"$n$":[30,44],"sources":[31,53,144],"are":[32,48,102],"be":[34],"separated":[35],"from":[36],"$m$":[37],"linear":[38,153],"mixtures":[39],"($m\\geq":[40],"n$).":[41],"Among":[42],"signals,":[46],"there":[47],"$n-1$":[49],"partially":[50],"overlapping":[51],"(Po)":[52],"one":[55],"positive":[56],"everywhere":[57],"(Pe)":[58],"source.":[59],"This":[60],"condition":[61],"is":[62,158],"applicable":[63],"for":[64,77],"many":[65],"real-world":[66],"signals":[67,97],"such":[68],"as":[69],"NMR":[70,176],"spectra":[71,177],"of":[72,86,94,107,121,134,141,181],"urine":[73],"blood":[75],"serum":[76],"metabolic":[78],"fingerprinting":[79],"disease":[81],"diagnosis.":[82],"The":[83,114,155],"geometric":[84],"properties":[85],"mixture":[88],"matrix":[89,110],"sparseness":[92],"structure":[93],"(in":[98],"transformed":[100],"domain)":[101],"crucial":[103],"identification":[106],"mixing":[109,119],"sources.":[113],"method":[115,150],"first":[116],"identifies":[117],"coefficients":[120],"Pe":[123,170],"exploiting":[126],"geometry":[127],"data":[129],"clustering.":[130],"Then":[131],"subsequent":[132],"elimination":[133],"variables":[135],"leads":[136],"sub-BSS":[139],"problem":[140,166],"Po":[143],"solvable":[145],"minimal":[148],"cone":[149],"related":[152],"programming.":[154],"last":[156],"step":[157],"based":[159],"on":[160,175],"solving":[161],"convex":[163],"$\\ell_1$":[164],"minimization":[165],"extract":[168],"signals.":[172],"Numerical":[173],"results":[174],"show":[178],"satisfactory":[179],"performance":[180],"method.":[183]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":5}],"updated_date":"2026-04-12T07:58:50.170612","created_date":"2025-10-10T00:00:00"}
