{"id":"https://openalex.org/W2967530387","doi":"https://doi.org/10.1109/tgrs.2019.2929776","title":"Regularization Parameter Selection in Minimum Volume Hyperspectral Unmixing","display_name":"Regularization Parameter Selection in Minimum Volume Hyperspectral Unmixing","publication_year":2019,"publication_date":"2019-08-14","ids":{"openalex":"https://openalex.org/W2967530387","doi":"https://doi.org/10.1109/tgrs.2019.2929776","mag":"2967530387"},"language":"en","primary_location":{"id":"doi:10.1109/tgrs.2019.2929776","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgrs.2019.2929776","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/A5022920106","display_name":"Lina Zhuang","orcid":"https://orcid.org/0000-0002-9622-6535"},"institutions":[{"id":"https://openalex.org/I4210120471","display_name":"Instituto de Telecomunica\u00e7\u00f5es","ror":"https://ror.org/02ht4fk33","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210120471"]},{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Lina Zhuang","raw_affiliation_strings":["Instituto de Telecomunica\u00e7\u00f5es, Instituto Superior T\u00e9cnico, Universidade de Lisboa, Lisbon, Portugal"],"affiliations":[{"raw_affiliation_string":"Instituto de Telecomunica\u00e7\u00f5es, Instituto Superior T\u00e9cnico, Universidade de Lisboa, Lisbon, Portugal","institution_ids":["https://openalex.org/I4210120471","https://openalex.org/I141596103"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000566608","display_name":"Chia-Hsiang Lin","orcid":"https://orcid.org/0000-0002-4865-2329"},"institutions":[{"id":"https://openalex.org/I91807558","display_name":"National Cheng Kung University","ror":"https://ror.org/01b8kcc49","country_code":"TW","type":"education","lineage":["https://openalex.org/I91807558"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Chia-Hsiang Lin","raw_affiliation_strings":["Department of Electrical Engineering, Institute of Computer and Communication Engineering, National Cheng Kung University, Tainan, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Institute of Computer and Communication Engineering, National Cheng Kung University, Tainan, Taiwan","institution_ids":["https://openalex.org/I91807558"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026826555","display_name":"M\u00e1rio A. T. Figueiredo","orcid":"https://orcid.org/0000-0002-0970-7745"},"institutions":[{"id":"https://openalex.org/I4210120471","display_name":"Instituto de Telecomunica\u00e7\u00f5es","ror":"https://ror.org/02ht4fk33","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210120471"]},{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Mario A. T. Figueiredo","raw_affiliation_strings":["Instituto de Telecomunica\u00e7\u00f5es, Instituto Superior T\u00e9cnico, Universidade de Lisboa, Lisbon, Portugal"],"affiliations":[{"raw_affiliation_string":"Instituto de Telecomunica\u00e7\u00f5es, Instituto Superior T\u00e9cnico, Universidade de Lisboa, Lisbon, Portugal","institution_ids":["https://openalex.org/I4210120471","https://openalex.org/I141596103"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017508063","display_name":"Jos\u00e9 M. Bioucas\u2010Dias","orcid":"https://orcid.org/0000-0002-0166-5149"},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]},{"id":"https://openalex.org/I4210120471","display_name":"Instituto de Telecomunica\u00e7\u00f5es","ror":"https://ror.org/02ht4fk33","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210120471"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Jose M. Bioucas-Dias","raw_affiliation_strings":["Instituto de Telecomunica\u00e7\u00f5es, Instituto Superior T\u00e9cnico, Universidade de Lisboa, Lisbon, Portugal"],"affiliations":[{"raw_affiliation_string":"Instituto de Telecomunica\u00e7\u00f5es, Instituto Superior T\u00e9cnico, Universidade de Lisboa, Lisbon, Portugal","institution_ids":["https://openalex.org/I4210120471","https://openalex.org/I141596103"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5022920106"],"corresponding_institution_ids":["https://openalex.org/I141596103","https://openalex.org/I4210120471"],"apc_list":null,"apc_paid":null,"fwci":9.6415,"has_fulltext":false,"cited_by_count":115,"citation_normalized_percentile":{"value":0.981474,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"57","issue":"12","first_page":"9858","last_page":"9877"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10689","display_name":"Remote-Sensing Image Classification","score":1.0,"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":1.0,"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/T11659","display_name":"Advanced Image Fusion Techniques","score":0.9976999759674072,"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/T10111","display_name":"Remote Sensing in Agriculture","score":0.9898999929428101,"subfield":{"id":"https://openalex.org/subfields/2303","display_name":"Ecology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hyperspectral-imaging","display_name":"Hyperspectral imaging","score":0.7802822589874268},{"id":"https://openalex.org/keywords/endmember","display_name":"Endmember","score":0.7328305244445801},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.6875392198562622},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6285924315452576},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5241687297821045},{"id":"https://openalex.org/keywords/data-point","display_name":"Data point","score":0.4844984710216522},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4787811040878296},{"id":"https://openalex.org/keywords/model-selection","display_name":"Model selection","score":0.4498906135559082},{"id":"https://openalex.org/keywords/pixel","display_name":"Pixel","score":0.431369423866272},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.42019084095954895},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40560483932495117},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3872290849685669},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2798542380332947}],"concepts":[{"id":"https://openalex.org/C159078339","wikidata":"https://www.wikidata.org/wiki/Q959005","display_name":"Hyperspectral imaging","level":2,"score":0.7802822589874268},{"id":"https://openalex.org/C58237817","wikidata":"https://www.wikidata.org/wiki/Q5376204","display_name":"Endmember","level":3,"score":0.7328305244445801},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.6875392198562622},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6285924315452576},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5241687297821045},{"id":"https://openalex.org/C21080849","wikidata":"https://www.wikidata.org/wiki/Q13611879","display_name":"Data point","level":2,"score":0.4844984710216522},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4787811040878296},{"id":"https://openalex.org/C93959086","wikidata":"https://www.wikidata.org/wiki/Q6888345","display_name":"Model selection","level":2,"score":0.4498906135559082},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.431369423866272},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.42019084095954895},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40560483932495117},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3872290849685669},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2798542380332947},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tgrs.2019.2929776","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgrs.2019.2929776","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/G3116747166","display_name":null,"funder_award_id":"607290 SpaRTaN","funder_id":"https://openalex.org/F4320333065","funder_display_name":"Seventh Framework Programme"},{"id":"https://openalex.org/G4934273752","display_name":null,"funder_award_id":"FP7-PEOPLE-2013-ITN","funder_id":"https://openalex.org/F4320333065","funder_display_name":"Seventh Framework Programme"},{"id":"https://openalex.org/G6339849012","display_name":null,"funder_award_id":"UID/EEA/50008/2019","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G6689363025","display_name":null,"funder_award_id":"MOST107-2636-E-006-006","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"}],"funders":[{"id":"https://openalex.org/F4320322795","display_name":"Ministry of Science and Technology, Taiwan","ror":"https://ror.org/02kv4zf79"},{"id":"https://openalex.org/F4320333065","display_name":"Seventh Framework Programme","ror":null},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":64,"referenced_works":["https://openalex.org/W846821018","https://openalex.org/W1526470323","https://openalex.org/W1555549210","https://openalex.org/W1608180792","https://openalex.org/W1755724306","https://openalex.org/W1923622064","https://openalex.org/W1965340435","https://openalex.org/W1976615758","https://openalex.org/W1985728473","https://openalex.org/W2014374676","https://openalex.org/W2015548667","https://openalex.org/W2023518723","https://openalex.org/W2026302893","https://openalex.org/W2027361795","https://openalex.org/W2032345535","https://openalex.org/W2032944446","https://openalex.org/W2050041778","https://openalex.org/W2053631917","https://openalex.org/W2056598988","https://openalex.org/W2063790512","https://openalex.org/W2070424424","https://openalex.org/W2081555128","https://openalex.org/W2084252873","https://openalex.org/W2087263574","https://openalex.org/W2097211423","https://openalex.org/W2101837437","https://openalex.org/W2109006918","https://openalex.org/W2114486983","https://openalex.org/W2118943995","https://openalex.org/W2122976738","https://openalex.org/W2129732816","https://openalex.org/W2146571341","https://openalex.org/W2153504150","https://openalex.org/W2156458885","https://openalex.org/W2157321686","https://openalex.org/W2163886442","https://openalex.org/W2169924573","https://openalex.org/W2245855345","https://openalex.org/W2464427950","https://openalex.org/W2491161567","https://openalex.org/W2517769798","https://openalex.org/W2545767865","https://openalex.org/W2593048869","https://openalex.org/W2605997226","https://openalex.org/W2620694408","https://openalex.org/W2752365628","https://openalex.org/W2767194849","https://openalex.org/W2768345624","https://openalex.org/W2784973277","https://openalex.org/W2887808268","https://openalex.org/W2901106281","https://openalex.org/W2963069169","https://openalex.org/W2964085075","https://openalex.org/W2964257934","https://openalex.org/W3023058184","https://openalex.org/W3101195009","https://openalex.org/W3104256134","https://openalex.org/W4250658187","https://openalex.org/W4298082496","https://openalex.org/W6623562790","https://openalex.org/W6633261909","https://openalex.org/W6664988326","https://openalex.org/W6729460163","https://openalex.org/W6748206020"],"related_works":["https://openalex.org/W2037328426","https://openalex.org/W1990914742","https://openalex.org/W3106536224","https://openalex.org/W2891033441","https://openalex.org/W2890371384","https://openalex.org/W2315521504","https://openalex.org/W2006559622","https://openalex.org/W2040756827","https://openalex.org/W2051769241","https://openalex.org/W2773863718"],"abstract_inverted_index":{"Linear":[0,18],"hyperspectral":[1],"unmixing":[2],"(HU)":[3],"aims":[4],"at":[5,144],"factoring":[6],"the":[7,32,45,80,83,91,97,100,115,120,146,152,160,163,167,177,202,207,211,230,243],"observation":[8],"matrix":[9,13],"into":[10],"an":[11,15,67],"endmember":[12],"and":[14,35,66,71,82,94,179,251],"abundance":[16],"matrix.":[17],"HU":[19,55],"via":[20,75],"variational":[21],"minimum":[22],"volume":[23,161],"(MV)":[24],"regularization":[25,69,129,147],"has":[26,133],"recently":[27],"received":[28],"considerable":[29],"attention":[30],"in":[31,136,234],"remote":[33],"sensing":[34],"machine":[36],"learning":[37],"areas,":[38],"mainly":[39],"owing":[40],"to":[41,88,95,106,228],"its":[42,221],"robustness":[43],"against":[44],"absence":[46],"of":[47,117,162,176,242],"pure":[48],"pixels.":[49],"We":[50],"put":[51],"some":[52],"popular":[53],"linear":[54],"formulations":[56],"under":[57],"a":[58,63,76,108,128,155,182,187,192,237],"unifying":[59],"framework,":[60],"which":[61,132],"involves":[62],"data-fitting":[64,92,184,196],"term":[65],"MV-based":[68],"term,":[70],"collectively":[72],"solve":[73],"it":[74,103],"nonconvex":[77],"optimization.":[78],"As":[79],"former":[81],"latter":[84],"terms":[85],"tend,":[86],"respectively,":[87],"expand":[89],"(reducing":[90],"errors)":[93],"shrink":[96],"simplex":[98,164,178,194,208],"enclosing":[99],"measured":[101],"spectra,":[102],"is":[104,247],"critical":[105],"strike":[107],"balance":[109,125],"between":[110],"those":[111],"two":[112],"terms.":[113],"To":[114],"best":[116],"our":[118],"knowledge,":[119],"existing":[121],"methods":[122],"find":[123,229],"such":[124],"by":[126,150,166],"tuning":[127],"parameter":[130,148,158,190],"manually,":[131],"little":[134],"value":[135],"unsupervised":[137],"scenarios.":[138],"In":[139],"this":[140],"paper,":[141],"we":[142],"aim":[143],"selecting":[145],"automatically":[149],"exploiting":[151],"fact":[153],"that":[154],"too":[156],"large":[157,183,193],"overshrinks":[159],"defined":[165],"endmembers,":[168],"making":[169,195],"many":[170],"data":[171,212,217],"points":[172,218],"be":[173],"left":[174],"outside":[175],"hence":[180],"inducing":[181],"error,":[185],"while":[186],"sufficiently":[188],"small":[189],"yields":[191,236],"error":[197],"very":[198],"small.":[199],"Roughly":[200],"speaking,":[201],"transition":[203,231],"point":[204,232],"happens":[205],"when":[206],"still":[209],"encloses":[210],"cloud":[213],"but":[214],"there":[215],"are":[216,225],"on":[219],"all":[220],"facets.":[222],"These":[223],"observations":[224],"systematically":[226],"formulated":[227],"that,":[233],"turn,":[235],"good":[238],"parameter.":[239],"The":[240],"competitiveness":[241],"proposed":[244],"selection":[245],"criterion":[246],"illustrated":[248],"with":[249],"simulated":[250],"real":[252],"data.":[253]},"counts_by_year":[{"year":2025,"cited_by_count":17},{"year":2024,"cited_by_count":13},{"year":2023,"cited_by_count":31},{"year":2022,"cited_by_count":18},{"year":2021,"cited_by_count":25},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}