{"id":"https://openalex.org/W2801811332","doi":"https://doi.org/10.1109/tgrs.2018.2818703","title":"Collaborative Sparse Hyperspectral Unmixing Using $l_{0}$ Norm","display_name":"Collaborative Sparse Hyperspectral Unmixing Using $l_{0}$ Norm","publication_year":2018,"publication_date":"2018-04-17","ids":{"openalex":"https://openalex.org/W2801811332","doi":"https://doi.org/10.1109/tgrs.2018.2818703","mag":"2801811332"},"language":"en","primary_location":{"id":"doi:10.1109/tgrs.2018.2818703","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgrs.2018.2818703","pdf_url":null,"source":{"id":"https://openalex.org/S111326731","display_name":"IEEE Transactions on Geoscience and Remote Sensing","issn_l":"0196-2892","issn":["0196-2892","1558-0644"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Geoscience and Remote Sensing","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/A5112124899","display_name":"Zhenwei Shi","orcid":null},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenwei Shi","raw_affiliation_strings":["State Key Laboratory of Virtual Reality Technology and Systems, School of Astronautics, Beihang University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-3063-1762","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Virtual Reality Technology and Systems, School of Astronautics, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042295331","display_name":"Tianyang Shi","orcid":null},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tianyang Shi","raw_affiliation_strings":["State Key Laboratory of Virtual Reality Technology and Systems, School of Astronautics, Beihang University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-4587-7792","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Virtual Reality Technology and Systems, School of Astronautics, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051901934","display_name":"Min Zhou","orcid":"https://orcid.org/0000-0001-7629-9289"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min Zhou","raw_affiliation_strings":["State Key Laboratory of Virtual Reality Technology and Systems, School of Astronautics, Beihang University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Virtual Reality Technology and Systems, School of Astronautics, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018133348","display_name":"Xia Xu","orcid":"https://orcid.org/0000-0001-9743-3096"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xia Xu","raw_affiliation_strings":["State Key Laboratory of Virtual Reality Technology and Systems, School of Astronautics, Beihang University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Virtual Reality Technology and Systems, School of Astronautics, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I82880672"],"apc_list":null,"apc_paid":null,"fwci":6.2759,"has_fulltext":false,"cited_by_count":69,"citation_normalized_percentile":{"value":0.96604868,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"56","issue":"9","first_page":"5495","last_page":"5508"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10689","display_name":"Remote-Sensing Image Classification","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10689","display_name":"Remote-Sensing Image Classification","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994999766349792,"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/T11659","display_name":"Advanced Image Fusion Techniques","score":0.9957000017166138,"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/hyperspectral-imaging","display_name":"Hyperspectral imaging","score":0.7380089163780212},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.7016016840934753},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5819001793861389},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.476453572511673},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.41850727796554565},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.4145648181438446},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.34150832891464233},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3307483196258545},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30872872471809387}],"concepts":[{"id":"https://openalex.org/C159078339","wikidata":"https://www.wikidata.org/wiki/Q959005","display_name":"Hyperspectral imaging","level":2,"score":0.7380089163780212},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.7016016840934753},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5819001793861389},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.476453572511673},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.41850727796554565},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4145648181438446},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.34150832891464233},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3307483196258545},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30872872471809387},{"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tgrs.2018.2818703","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgrs.2018.2818703","pdf_url":null,"source":{"id":"https://openalex.org/S111326731","display_name":"IEEE Transactions on Geoscience and Remote Sensing","issn_l":"0196-2892","issn":["0196-2892","1558-0644"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Geoscience and Remote Sensing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8912935111","display_name":"\u9ad8\u5149\u8c31\u9065\u611f\u56fe\u50cf\u7684\u7a00\u758f\u89e3\u6df7\u7814\u7a76","funder_award_id":"61671037","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W817041652","https://openalex.org/W1591116419","https://openalex.org/W1608180792","https://openalex.org/W1902027874","https://openalex.org/W1969238202","https://openalex.org/W1970304186","https://openalex.org/W1974774078","https://openalex.org/W1976391658","https://openalex.org/W1980454827","https://openalex.org/W1993335267","https://openalex.org/W1994726448","https://openalex.org/W1998700518","https://openalex.org/W2004207873","https://openalex.org/W2004594443","https://openalex.org/W2015548667","https://openalex.org/W2027357158","https://openalex.org/W2027878671","https://openalex.org/W2069231830","https://openalex.org/W2084252873","https://openalex.org/W2098546704","https://openalex.org/W2099641086","https://openalex.org/W2103215959","https://openalex.org/W2108517747","https://openalex.org/W2114486983","https://openalex.org/W2118297240","https://openalex.org/W2122976738","https://openalex.org/W2123031198","https://openalex.org/W2125298866","https://openalex.org/W2127062304","https://openalex.org/W2143457518","https://openalex.org/W2151693816","https://openalex.org/W2156401956","https://openalex.org/W2157321686","https://openalex.org/W2161041724","https://openalex.org/W2295820431","https://openalex.org/W2566476692","https://openalex.org/W2766106970","https://openalex.org/W3099180803","https://openalex.org/W3106359998","https://openalex.org/W3145128584","https://openalex.org/W4233760599","https://openalex.org/W4235713725","https://openalex.org/W4246219036","https://openalex.org/W4300819821","https://openalex.org/W4301909677","https://openalex.org/W6621334021","https://openalex.org/W6676376460"],"related_works":["https://openalex.org/W2072166414","https://openalex.org/W3209970181","https://openalex.org/W2060875994","https://openalex.org/W3034375524","https://openalex.org/W4230131218","https://openalex.org/W2070598848","https://openalex.org/W2027399350","https://openalex.org/W2044184146","https://openalex.org/W4313014865","https://openalex.org/W2019190440"],"abstract_inverted_index":{"Sparse":[0],"unmixing":[1,37,90],"has":[2],"been":[3],"applied":[4],"on":[5,62],"hyperspectral":[6,89,186],"imagery":[7],"popularly":[8],"in":[9],"recent":[10],"years.":[11],"It":[12],"assumes":[13],"that":[14,194],"every":[15],"observed":[16],"signature":[17],"is":[18,56],"a":[19,24,29,53,83,108,177,203],"linear":[20],"combination":[21],"of":[22,50,71,122,130,155,168,184],"just":[23],"few":[25],"spectra":[26],"(end-members)":[27],"from":[28],"known":[30],"spectral":[31],"library.":[32],"However,":[33],"solving":[34,98],"the":[35,48,67,134,138,152,173,185],"sparse":[36,88],"problem":[38,103],"directly":[39],"(using":[40],"l":[41,99,139,163,195],"<sub":[42,100,140,164,196],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[43,101,141,165,197],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">0</sub>":[44,102,142,198],"norm":[45,93,143,167,199],"to":[46,117,201,210],"control":[47],"sparsity":[49,68],"solution":[51,206],"at":[52,97],"low":[54],"level)":[55],"NP-hard.":[57],"Most":[58],"related":[59],"works":[60],"focus":[61],"convex":[63,135],"relaxation":[64,136],"methods,":[65,137],"but":[66],"and":[69,147,207],"accuracy":[70],"results":[72,192],"cannot":[73],"be":[74],"well":[75],"guaranteed.":[76],"Under":[77],"these":[78],"circumstances,":[79],"this":[80],"paper":[81],"proposes":[82],"novel":[84],"algorithm":[85],"termed":[86],"collaborative":[87,178],"using":[91],"l0":[92,119],"(CSUnL0),":[94],"which":[95,180],"aims":[96],"directly.":[104],"First,":[105],"it":[106,115],"introduces":[107],"row-hard-threshold":[109],"function.":[110],"The":[111,190],"row-hardthreshold":[112],"function":[113],"makes":[114],"possible":[116],"combine":[118],"norm,":[120],"instead":[121],"its":[123],"approximate":[124],"norms,":[125],"with":[126,133],"alternating":[127],"direction":[128],"method":[129],"multipliers.":[131],"Compared":[132],"constraint":[144],"guarantees":[145],"sparser":[146,205],"more":[148,204],"accurate":[149],"results.":[150],"Moreover,":[151],"antinoise":[153],"ability":[154],"CSUnL0":[156,161,209],"also":[157],"gets":[158],"improved.":[159],"Second,":[160],"uses":[162],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[166],"each":[169],"end-members'":[170],"abundance":[171],"across":[172],"whole":[174],"map":[175],"as":[176],"constraint,":[179],"can":[181],"take":[182],"advantage":[183],"data's":[187],"subspace":[188],"property.":[189],"experimental":[191],"indicate":[193],"contributes":[200],"acquiring":[202],"helps":[208],"enhance":[211],"calculation":[212],"accuracy.":[213]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":14},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
