{"id":"https://openalex.org/W2562475554","doi":"https://doi.org/10.1109/eusipco.2016.7760638","title":"An M-estimator for robust centroid estimation on the manifold of covariance matrices: Performance analysis and application to image classification","display_name":"An M-estimator for robust centroid estimation on the manifold of covariance matrices: Performance analysis and application to image classification","publication_year":2016,"publication_date":"2016-08-01","ids":{"openalex":"https://openalex.org/W2562475554","doi":"https://doi.org/10.1109/eusipco.2016.7760638","mag":"2562475554"},"language":"en","primary_location":{"id":"doi:10.1109/eusipco.2016.7760638","is_oa":false,"landing_page_url":"https://doi.org/10.1109/eusipco.2016.7760638","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 24th European Signal Processing Conference (EUSIPCO)","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/A5085579269","display_name":"Ioana Ilea","orcid":"https://orcid.org/0000-0003-3174-7716"},"institutions":[{"id":"https://openalex.org/I158333966","display_name":"Technical University of Cluj-Napoca","ror":"https://ror.org/03r8nwp71","country_code":"RO","type":"education","lineage":["https://openalex.org/I158333966"]},{"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"]}],"countries":["FR","RO"],"is_corresponding":true,"raw_author_name":"Ioana Ilea","raw_affiliation_strings":["Signal and Image Group, Laboratoire IMS, France","Technical University, Cluj-Napoca, Romania"],"affiliations":[{"raw_affiliation_string":"Signal and Image Group, Laboratoire IMS, France","institution_ids":["https://openalex.org/I4210160189"]},{"raw_affiliation_string":"Technical University, Cluj-Napoca, Romania","institution_ids":["https://openalex.org/I158333966"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074073956","display_name":"Hatem Hajri","orcid":null},"institutions":[{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Hatem Hajri","raw_affiliation_strings":["Signal and Image Group, Laboratoire IMS, France"],"affiliations":[{"raw_affiliation_string":"Signal and Image Group, Laboratoire IMS, France","institution_ids":["https://openalex.org/I4210160189"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055346590","display_name":"Salem Said","orcid":"https://orcid.org/0000-0002-8067-1001"},"institutions":[{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Salem Said","raw_affiliation_strings":["Signal and Image Group, Laboratoire IMS, France"],"affiliations":[{"raw_affiliation_string":"Signal and Image Group, Laboratoire IMS, France","institution_ids":["https://openalex.org/I4210160189"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037554238","display_name":"Lionel Bombrun","orcid":"https://orcid.org/0000-0001-9036-3988"},"institutions":[{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Lionel Bombrun","raw_affiliation_strings":["Signal and Image Group, Laboratoire IMS, France"],"affiliations":[{"raw_affiliation_string":"Signal and Image Group, Laboratoire IMS, France","institution_ids":["https://openalex.org/I4210160189"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084906943","display_name":"Christian Germain","orcid":"https://orcid.org/0000-0002-3097-8283"},"institutions":[{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Christian Germain","raw_affiliation_strings":["Signal and Image Group, Laboratoire IMS, France"],"affiliations":[{"raw_affiliation_string":"Signal and Image Group, Laboratoire IMS, France","institution_ids":["https://openalex.org/I4210160189"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042761955","display_name":"Yannick Berthoumieu","orcid":"https://orcid.org/0000-0002-7559-0602"},"institutions":[{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Yannick Berthoumieu","raw_affiliation_strings":["Signal and Image Group, Laboratoire IMS, France"],"affiliations":[{"raw_affiliation_string":"Signal and Image Group, Laboratoire IMS, France","institution_ids":["https://openalex.org/I4210160189"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5085579269"],"corresponding_institution_ids":["https://openalex.org/I158333966","https://openalex.org/I4210160189"],"apc_list":null,"apc_paid":null,"fwci":1.0645,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.81606664,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"30","issue":null,"first_page":"2196","last_page":"2200"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9692999720573425,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10689","display_name":"Remote-Sensing Image Classification","score":0.9628999829292297,"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/outlier","display_name":"Outlier","score":0.695946991443634},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6899329423904419},{"id":"https://openalex.org/keywords/centroid","display_name":"Centroid","score":0.6454141139984131},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6246477365493774},{"id":"https://openalex.org/keywords/robust-statistics","display_name":"Robust statistics","score":0.5561121702194214},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.5528018474578857},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.5515647530555725},{"id":"https://openalex.org/keywords/estimation-of-covariance-matrices","display_name":"Estimation of covariance matrices","score":0.503570020198822},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4995419979095459},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4845787286758423},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4606793522834778},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.4480944275856018},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4241051971912384},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.30029675364494324}],"concepts":[{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.695946991443634},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6899329423904419},{"id":"https://openalex.org/C146599234","wikidata":"https://www.wikidata.org/wiki/Q511093","display_name":"Centroid","level":2,"score":0.6454141139984131},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6246477365493774},{"id":"https://openalex.org/C67226441","wikidata":"https://www.wikidata.org/wiki/Q1665389","display_name":"Robust statistics","level":3,"score":0.5561121702194214},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.5528018474578857},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.5515647530555725},{"id":"https://openalex.org/C180877172","wikidata":"https://www.wikidata.org/wiki/Q5401390","display_name":"Estimation of covariance matrices","level":3,"score":0.503570020198822},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4995419979095459},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4845787286758423},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4606793522834778},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.4480944275856018},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4241051971912384},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.30029675364494324},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/eusipco.2016.7760638","is_oa":false,"landing_page_url":"https://doi.org/10.1109/eusipco.2016.7760638","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 24th European Signal Processing Conference (EUSIPCO)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W597395834","https://openalex.org/W1490863080","https://openalex.org/W1498258408","https://openalex.org/W1506806321","https://openalex.org/W1533131927","https://openalex.org/W1738112110","https://openalex.org/W1804110266","https://openalex.org/W1953929691","https://openalex.org/W1965928820","https://openalex.org/W1967146909","https://openalex.org/W1969811075","https://openalex.org/W1979502700","https://openalex.org/W1979573625","https://openalex.org/W1983104971","https://openalex.org/W1983496390","https://openalex.org/W1998511207","https://openalex.org/W2006134199","https://openalex.org/W2008418230","https://openalex.org/W2021814280","https://openalex.org/W2035715639","https://openalex.org/W2046033161","https://openalex.org/W2052318197","https://openalex.org/W2067134006","https://openalex.org/W2079630523","https://openalex.org/W2109409043","https://openalex.org/W2119933098","https://openalex.org/W2125391899","https://openalex.org/W2170977910","https://openalex.org/W2296031579","https://openalex.org/W2487994285","https://openalex.org/W2603910652","https://openalex.org/W3103171021","https://openalex.org/W4205293427","https://openalex.org/W6629183012","https://openalex.org/W6630012369","https://openalex.org/W6631960939","https://openalex.org/W6637754412"],"related_works":["https://openalex.org/W2046343964","https://openalex.org/W4379515847","https://openalex.org/W2216963642","https://openalex.org/W2283061017","https://openalex.org/W2921280830","https://openalex.org/W3121734683","https://openalex.org/W2887132723","https://openalex.org/W2107646698","https://openalex.org/W2572601863","https://openalex.org/W1670628120"],"abstract_inverted_index":{"Many":[0],"signal":[1,13],"and":[2,86,97,132,147],"image":[3],"processing":[4],"applications,":[5],"including":[6],"texture":[7],"analysis,":[8],"radar":[9],"detection":[10],"or":[11,55],"EEG":[12],"classification,":[14],"require":[15],"the":[16,34,49,53,68,90,101,112,140,145],"computation":[17],"of":[18,24,36,52,83,92,95,103,142],"a":[19,22,71,118],"centroid":[20,107],"from":[21,48,56,111],"set":[23],"covariance":[25],"matrices.":[26],"The":[27],"most":[28],"popular":[29],"approach":[30],"consists":[31],"in":[32],"considering":[33],"center":[35,94],"mass.":[37],"While":[38],"efficient,":[39],"this":[40,105],"estimator":[41,79,108],"is":[42,109,135],"not":[43],"robust":[44,73,106],"to":[45,66,122,138],"outliers":[46,143],"arising":[47],"inherent":[50],"variability":[51],"data":[54,134],"faulty":[57],"measurements.":[58],"To":[59],"overcome":[60],"this,":[61],"some":[62],"authors":[63],"have":[64],"proposed":[65],"use":[67],"median":[69],"as":[70],"more":[72],"estimator.":[74],"Here,":[75],"we":[76],"propose":[77],"an":[78,127],"which":[80],"takes":[81],"advantage":[82],"both":[84,130],"efficiency":[85],"robustness":[87],"by":[88],"combining":[89],"concepts":[91],"Riemannian":[93],"mass":[96],"median.":[98],"Based":[99],"on":[100,129,144],"theory":[102],"M-estimators,":[104],"issued":[110],"so-called":[113],"Huber's":[114],"function.":[115],"We":[116],"present":[117],"gradient":[119],"descent":[120],"algorithm":[121],"estimate":[123],"it.":[124],"In":[125],"addition,":[126],"experiment":[128],"simulated":[131],"real":[133],"carried":[136],"out":[137],"evaluate":[139],"influence":[141],"estimation":[146],"classification":[148],"performances.":[149]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
