{"id":"https://openalex.org/W2103381053","doi":"https://doi.org/10.1109/icassp.2012.6288408","title":"Bayesian subspace estimation using CS decomposition","display_name":"Bayesian subspace estimation using CS decomposition","publication_year":2012,"publication_date":"2012-03-01","ids":{"openalex":"https://openalex.org/W2103381053","doi":"https://doi.org/10.1109/icassp.2012.6288408","mag":"2103381053"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2012.6288408","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2012.6288408","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5040395588","display_name":"Olivier Besson","orcid":"https://orcid.org/0000-0001-6079-8446"},"institutions":[{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555"]},{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Olivier Besson","raw_affiliation_strings":["ISAE, Department Electronics Optronics Signal, University of Toulouse III, Toulouse, France","DEOS - D\u00e9partement Electronique, Optronique et Signal (ISAE - 10 av. Edouard Belin - BP 54032 - 31055 TOULOUSE Cedex 4 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ISAE, Department Electronics Optronics Signal, University of Toulouse III, Toulouse, France","institution_ids":["https://openalex.org/I134560555","https://openalex.org/I17866349"]},{"raw_affiliation_string":"DEOS - D\u00e9partement Electronique, Optronique et Signal (ISAE - 10 av. Edouard Belin - BP 54032 - 31055 TOULOUSE Cedex 4 - France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024149247","display_name":"Nicolas Dobigeon","orcid":"https://orcid.org/0000-0001-8127-350X"},"institutions":[{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555"]},{"id":"https://openalex.org/I185839726","display_name":"Institut Universitaire de France","ror":"https://ror.org/055khg266","country_code":"FR","type":"education","lineage":["https://openalex.org/I185839726"]},{"id":"https://openalex.org/I205747304","display_name":"Institut National Polytechnique de Toulouse","ror":"https://ror.org/033p9g875","country_code":"FR","type":"education","lineage":["https://openalex.org/I205747304"]},{"id":"https://openalex.org/I3131550300","display_name":"Universit\u00e9 Toulouse-I-Capitole","ror":"https://ror.org/0443n9e75","country_code":"FR","type":"education","lineage":["https://openalex.org/I3131550300"]},{"id":"https://openalex.org/I4210119061","display_name":"Institut de Recherche en Informatique de Toulouse","ror":"https://ror.org/01rx4qw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I205747304","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"id":"https://openalex.org/I4210152422","display_name":"Universit\u00e9 Toulouse - Jean Jaur\u00e8s","ror":"https://ror.org/04ezk3x31","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210152422"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]},{"id":"https://openalex.org/I4387153255","display_name":"\u00c9cole Nationale Sup\u00e9rieure d'\u00c9lectrotechnique, d'\u00c9lectronique, d'Informatique, d'Hydraulique et des T\u00e9l\u00e9communications","ror":"https://ror.org/05wfw4946","country_code":"FR","type":"education","lineage":["https://openalex.org/I205747304","https://openalex.org/I4387153255"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nicolas Dobigeon","raw_affiliation_strings":["IRIT/ENSEEIHT, Signal and Communications Group, University of Toulouse III, Toulouse, France","IRIT-SC - Signal et Communications (IRIT\r\n2 rue Charles Camichel \r\n31071 Toulouse Cedex 7 - France)","IUF - Institut universitaire de France (Maison des Universit\u00e9s 103 Boulevard Saint-Michel 75005 Paris - France)","Toulouse INP - Institut National Polytechnique (Toulouse) (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRIT/ENSEEIHT, Signal and Communications Group, University of Toulouse III, Toulouse, France","institution_ids":["https://openalex.org/I134560555","https://openalex.org/I205747304","https://openalex.org/I4210119061","https://openalex.org/I4387153255"]},{"raw_affiliation_string":"IRIT-SC - Signal et Communications (IRIT\r\n2 rue Charles Camichel \r\n31071 Toulouse Cedex 7 - France)","institution_ids":["https://openalex.org/I134560555","https://openalex.org/I3131550300","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4210160189"]},{"raw_affiliation_string":"IUF - Institut universitaire de France (Maison des Universit\u00e9s 103 Boulevard Saint-Michel 75005 Paris - France)","institution_ids":["https://openalex.org/I185839726"]},{"raw_affiliation_string":"Toulouse INP - Institut National Polytechnique (Toulouse) (France)","institution_ids":["https://openalex.org/I205747304"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018816346","display_name":"Jean\u2010Yves Tourneret","orcid":"https://orcid.org/0000-0001-5219-3455"},"institutions":[{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555"]},{"id":"https://openalex.org/I205747304","display_name":"Institut National Polytechnique de Toulouse","ror":"https://ror.org/033p9g875","country_code":"FR","type":"education","lineage":["https://openalex.org/I205747304"]},{"id":"https://openalex.org/I3131550300","display_name":"Universit\u00e9 Toulouse-I-Capitole","ror":"https://ror.org/0443n9e75","country_code":"FR","type":"education","lineage":["https://openalex.org/I3131550300"]},{"id":"https://openalex.org/I4210119061","display_name":"Institut de Recherche en Informatique de Toulouse","ror":"https://ror.org/01rx4qw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I205747304","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"id":"https://openalex.org/I4210152422","display_name":"Universit\u00e9 Toulouse - Jean Jaur\u00e8s","ror":"https://ror.org/04ezk3x31","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210152422"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]},{"id":"https://openalex.org/I4387153255","display_name":"\u00c9cole Nationale Sup\u00e9rieure d'\u00c9lectrotechnique, d'\u00c9lectronique, d'Informatique, d'Hydraulique et des T\u00e9l\u00e9communications","ror":"https://ror.org/05wfw4946","country_code":"FR","type":"education","lineage":["https://openalex.org/I205747304","https://openalex.org/I4387153255"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Yves Tourneret","raw_affiliation_strings":["IRIT/ENSEEIHT, Signal and Communications Group, University of Toulouse III, Toulouse, France","IRIT-SC - Signal et Communications (IRIT\r\n2 rue Charles Camichel \r\n31071 Toulouse Cedex 7 - France)","Toulouse INP - Institut National Polytechnique (Toulouse) (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRIT/ENSEEIHT, Signal and Communications Group, University of Toulouse III, Toulouse, France","institution_ids":["https://openalex.org/I134560555","https://openalex.org/I205747304","https://openalex.org/I4210119061","https://openalex.org/I4387153255"]},{"raw_affiliation_string":"IRIT-SC - Signal et Communications (IRIT\r\n2 rue Charles Camichel \r\n31071 Toulouse Cedex 7 - France)","institution_ids":["https://openalex.org/I134560555","https://openalex.org/I3131550300","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4210160189"]},{"raw_affiliation_string":"Toulouse INP - Institut National Polytechnique (Toulouse) (France)","institution_ids":["https://openalex.org/I205747304"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":9,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.28292362,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"2437","last_page":"2440"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10689","display_name":"Remote-Sensing Image Classification","score":0.9991000294685364,"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":0.9991000294685364,"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/T12157","display_name":"Geochemistry and Geologic Mapping","score":0.9739000201225281,"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":0.9693999886512756,"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/subspace-topology","display_name":"Subspace topology","score":0.8661990165710449},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.7245498895645142},{"id":"https://openalex.org/keywords/hyperspectral-imaging","display_name":"Hyperspectral imaging","score":0.6669139862060547},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6283285617828369},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5706385970115662},{"id":"https://openalex.org/keywords/prior-probability","display_name":"Prior probability","score":0.4960571229457855},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.4936412572860718},{"id":"https://openalex.org/keywords/parametrization","display_name":"Parametrization (atmospheric modeling)","score":0.49137941002845764},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47191908955574036},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.45983925461769104},{"id":"https://openalex.org/keywords/gibbs-sampling","display_name":"Gibbs sampling","score":0.4330446720123291},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3692269027233124},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3617405295372009},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3529621958732605},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33234721422195435},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.29042813181877136},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.28035885095596313},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.2387045919895172},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0742405354976654}],"concepts":[{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.8661990165710449},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.7245498895645142},{"id":"https://openalex.org/C159078339","wikidata":"https://www.wikidata.org/wiki/Q959005","display_name":"Hyperspectral imaging","level":2,"score":0.6669139862060547},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6283285617828369},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5706385970115662},{"id":"https://openalex.org/C177769412","wikidata":"https://www.wikidata.org/wiki/Q278090","display_name":"Prior probability","level":3,"score":0.4960571229457855},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.4936412572860718},{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.49137941002845764},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47191908955574036},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.45983925461769104},{"id":"https://openalex.org/C158424031","wikidata":"https://www.wikidata.org/wiki/Q1191905","display_name":"Gibbs sampling","level":3,"score":0.4330446720123291},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3692269027233124},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3617405295372009},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3529621958732605},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33234721422195435},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.29042813181877136},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.28035885095596313},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.2387045919895172},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0742405354976654},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","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":3,"locations":[{"id":"doi:10.1109/icassp.2012.6288408","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2012.6288408","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.412.6886","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.412.6886","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://dobigeon.perso.enseeiht.fr/papers/Besson_IEEE_ICASSP_2012.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-04240683v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04240683","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://ieeexplore.ieee.org/document/6288408","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1532610010","https://openalex.org/W1981745143","https://openalex.org/W2042626896","https://openalex.org/W2045512849","https://openalex.org/W2084008613","https://openalex.org/W2140710100","https://openalex.org/W2159981560","https://openalex.org/W2169924573","https://openalex.org/W4248253651","https://openalex.org/W4292691288"],"related_works":["https://openalex.org/W2153421756","https://openalex.org/W2580650124","https://openalex.org/W2391321755","https://openalex.org/W2054489697","https://openalex.org/W4386190339","https://openalex.org/W2077818434","https://openalex.org/W2361081803","https://openalex.org/W2968424575","https://openalex.org/W2072169887","https://openalex.org/W4386272753"],"abstract_inverted_index":{"Subspace":[0],"estimation":[1],"using":[2],"relatively":[3],"few":[4],"samples":[5],"is":[6,40,44,82,125],"a":[7,28,106],"frequently":[8],"encountered":[9],"problem":[10,26],"in":[11,27,94],"numerous":[12],"applications,":[13],"including":[14],"hyperspectral":[15,134],"imagery":[16],"the":[17,38,47,57,68,71,74,78,87,91,95,99,112,118],"target":[18],"application":[19],"of":[20,50,59,70,117,120],"this":[21,25],"paper.":[22],"We":[23,85],"address":[24],"Bayesian":[29],"framework":[30],"assuming":[31],"that":[32],"some":[33],"rough":[34],"prior":[35,79],"knowledge":[36],"about":[37,67],"subspace":[39,58,76,119],"available.":[41],"Our":[42],"approach":[43],"based":[45],"on":[46],"CS":[48,96],"decomposition":[49,97],"an":[51],"orthogonal":[52],"matrix":[53],"whose":[54],"columns":[55],"span":[56],"interest.":[60,121],"This":[61],"parametrization":[62],"only":[63],"involves":[64],"mild":[65],"assumptions":[66],"distribution":[69,89],"angles":[72,100],"between":[73,101],"actual":[75],"and":[77,81,98,103,130],"subspace,":[80],"intuitively":[83],"appealing.":[84],"derive":[86],"posterior":[88],"for":[90],"matrices":[92],"involved":[93],"subspaces,":[102],"we":[104],"propose":[105],"Gibbs":[107],"sampling":[108],"scheme":[109],"to":[110],"compute":[111],"minimum":[113],"mean-square":[114],"distance":[115],"estimator":[116,123],"The":[122],"accuracy":[124],"evaluated":[126],"through":[127],"numerical":[128],"simulations":[129],"tested":[131],"against":[132],"real":[133],"data.":[135]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
