{"id":"https://openalex.org/W3161599571","doi":"https://doi.org/10.1109/icassp39728.2021.9413730","title":"Subspace Oddity - Optimization on Product of Stiefel Manifolds for EEG Data","display_name":"Subspace Oddity - Optimization on Product of Stiefel Manifolds for EEG Data","publication_year":2021,"publication_date":"2021-05-13","ids":{"openalex":"https://openalex.org/W3161599571","doi":"https://doi.org/10.1109/icassp39728.2021.9413730","mag":"3161599571"},"language":"en","primary_location":{"id":"doi:10.1109/icassp39728.2021.9413730","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp39728.2021.9413730","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2021 - 2021 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","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/A5075533342","display_name":"Maria Sayu Yamamoto","orcid":"https://orcid.org/0000-0002-6058-2060"},"institutions":[{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210104198","display_name":"Laboratoire Sp\u00e9cification et V\u00e9rification","ror":"https://ror.org/01kz1bj67","country_code":"FR","type":"facility","lineage":["https://openalex.org/I11559806","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210104198","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I4390039377","display_name":"Laboratoire d'Ing\u00e9nierie des Syst\u00e8mes de Versailles","ror":"https://ror.org/01hcc6p91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I195731000","https://openalex.org/I277688954","https://openalex.org/I4390039377"]},{"id":"https://openalex.org/I92614990","display_name":"Tokyo University of Agriculture and Technology","ror":"https://ror.org/00qg0kr10","country_code":"JP","type":"education","lineage":["https://openalex.org/I92614990"]}],"countries":["FR","JP"],"is_corresponding":false,"raw_author_name":"Maria Sayu Yamamoto","raw_affiliation_strings":["LISV, Univ. Paris-Saclay, Versailles, France","Tokyo University of Agriculture and Technology, Koganei-shi, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LISV, Univ. Paris-Saclay, Versailles, France","institution_ids":["https://openalex.org/I4210104198","https://openalex.org/I277688954","https://openalex.org/I4390039377"]},{"raw_affiliation_string":"Tokyo University of Agriculture and Technology, Koganei-shi, Tokyo, Japan","institution_ids":["https://openalex.org/I92614990"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030318966","display_name":"Florian Yger","orcid":"https://orcid.org/0000-0002-7182-8062"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I2746051580","display_name":"Universit\u00e9 Paris Sciences et Lettres","ror":"https://ror.org/013cjyk83","country_code":"FR","type":"education","lineage":["https://openalex.org/I2746051580"]},{"id":"https://openalex.org/I56435720","display_name":"Universit\u00e9 Paris Dauphine-PSL","ror":"https://ror.org/052bz7812","country_code":"FR","type":"education","lineage":["https://openalex.org/I2746051580","https://openalex.org/I56435720"]},{"id":"https://openalex.org/I92614990","display_name":"Tokyo University of Agriculture and Technology","ror":"https://ror.org/00qg0kr10","country_code":"JP","type":"education","lineage":["https://openalex.org/I92614990"]}],"countries":["FR","JP"],"is_corresponding":false,"raw_author_name":"Florian Yger","raw_affiliation_strings":["LAMSADE, CNRS, Univ. Paris-Dauphine, PSL Research University, Paris, France","Tokyo University of Agriculture and Technology, Koganei-shi, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAMSADE, CNRS, Univ. Paris-Dauphine, PSL Research University, Paris, France","institution_ids":["https://openalex.org/I56435720","https://openalex.org/I2746051580","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Tokyo University of Agriculture and Technology, Koganei-shi, Tokyo, Japan","institution_ids":["https://openalex.org/I92614990"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013121738","display_name":"Sylvain Chevallier","orcid":"https://orcid.org/0000-0003-3027-8241"},"institutions":[{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210104198","display_name":"Laboratoire Sp\u00e9cification et V\u00e9rification","ror":"https://ror.org/01kz1bj67","country_code":"FR","type":"facility","lineage":["https://openalex.org/I11559806","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210104198","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I4390039377","display_name":"Laboratoire d'Ing\u00e9nierie des Syst\u00e8mes de Versailles","ror":"https://ror.org/01hcc6p91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I195731000","https://openalex.org/I277688954","https://openalex.org/I4390039377"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Sylvain Chevallier","raw_affiliation_strings":["LISV, Univ. Paris-Saclay, Versailles, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LISV, Univ. Paris-Saclay, Versailles, France","institution_ids":["https://openalex.org/I4210104198","https://openalex.org/I277688954","https://openalex.org/I4390039377"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3571,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.54420069,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"113","issue":null,"first_page":"1080","last_page":"1084"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10429","display_name":"EEG and Brain-Computer Interfaces","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10429","display_name":"EEG and Brain-Computer Interfaces","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9970999956130981,"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/T10581","display_name":"Neural dynamics and brain function","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.8384621143341064},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.7365642189979553},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.6458413600921631},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.6087857484817505},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.5946744680404663},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.5944300889968872},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.5709472298622131},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5219456553459167},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5025608539581299},{"id":"https://openalex.org/keywords/electroencephalography","display_name":"Electroencephalography","score":0.49499601125717163},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4544847011566162},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.435721218585968},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3121914267539978},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08667564392089844},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.08283236622810364}],"concepts":[{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.8384621143341064},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.7365642189979553},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.6458413600921631},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6087857484817505},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.5946744680404663},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.5944300889968872},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.5709472298622131},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5219456553459167},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5025608539581299},{"id":"https://openalex.org/C522805319","wikidata":"https://www.wikidata.org/wiki/Q179965","display_name":"Electroencephalography","level":2,"score":0.49499601125717163},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4544847011566162},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.435721218585968},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3121914267539978},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08667564392089844},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08283236622810364},{"id":"https://openalex.org/C118552586","wikidata":"https://www.wikidata.org/wiki/Q7867","display_name":"Psychiatry","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp39728.2021.9413730","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp39728.2021.9413730","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2021 - 2021 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W585133165","https://openalex.org/W1804110266","https://openalex.org/W1862697533","https://openalex.org/W2096597330","https://openalex.org/W2106006415","https://openalex.org/W2125391899","https://openalex.org/W2170124654","https://openalex.org/W2201853642","https://openalex.org/W2549437649","https://openalex.org/W2554291319","https://openalex.org/W2572208444","https://openalex.org/W2602279467","https://openalex.org/W2614716846","https://openalex.org/W2741907166","https://openalex.org/W2794345050","https://openalex.org/W2802075574","https://openalex.org/W2804957865","https://openalex.org/W2962772276","https://openalex.org/W2975585604","https://openalex.org/W3028502343","https://openalex.org/W3036460714","https://openalex.org/W3104324110","https://openalex.org/W4205293427","https://openalex.org/W4323539420","https://openalex.org/W6730079125","https://openalex.org/W6731734495","https://openalex.org/W6750935101","https://openalex.org/W6778008082"],"related_works":["https://openalex.org/W1995622179","https://openalex.org/W4391160746","https://openalex.org/W1484111231","https://openalex.org/W3125756894","https://openalex.org/W1552543208","https://openalex.org/W2074396517","https://openalex.org/W2166963679","https://openalex.org/W2187269125","https://openalex.org/W1641615907","https://openalex.org/W3089231081"],"abstract_inverted_index":{"Dimensionality":[0],"reduction":[1,34],"of":[2,13,35,42],"high-dimensional":[3,45],"electroencephalography":[4],"(EEG)":[5],"covariance":[6,37],"matrices":[7],"is":[8,47,58,92,107],"crucial":[9],"for":[10,110,127],"effective":[11],"utilization":[12],"Riemannian":[14],"geometry":[15],"in":[16,94],"Brain-Computer":[17],"Interfaces":[18],"(BCI).":[19],"In":[20,66],"this":[21],"paper,":[22],"we":[23],"propose":[24],"a":[25],"novel":[26],"similarity-based":[27],"classification":[28,128],"method":[29,142],"that":[30,79,106,122],"relies":[31],"on":[32,62,144],"dimensionality":[33],"EEG":[36,117],"matrices.":[38],"Conventionally,":[39],"the":[40,43,56,63,85,90,104,136,140],"dimension":[41],"original":[44],"space":[46,105],"reduced":[48],"by":[49,83],"projecting":[50],"into":[51],"one":[52,146],"low-dimensional":[53,77,96],"space,":[54],"and":[55,132],"similarity":[57,91,111],"learned":[59,93],"only":[60,145],"based":[61],"single":[64],"space.":[65,97],"contrast,":[67],"our":[68],"method,":[69],"MUltiple":[70],"SUbspace":[71],"Mdm":[72],"Estimation":[73],"(MUSUME),":[74],"obtains":[75],"multiple":[76,99],"spaces":[78],"enhance":[80],"class":[81],"separability":[82],"solving":[84],"proposed":[86],"optimization":[87],"problem,":[88],"then":[89],"each":[95],"This":[98],"projection":[100],"approach":[101],"encourages":[102],"finding":[103],"more":[108],"useful":[109],"learning.":[112],"Experimental":[113],"evaluation":[114],"with":[115],"high-dimensionality":[116],"datasets":[118],"(128":[119],"channels)":[120],"confirmed":[121],"MUSUME":[123],"proved":[124],"significant":[125],"improvement":[126],"(p":[129],"<":[130],"0.001)":[131],"also":[133],"it":[134],"showed":[135],"potential":[137],"to":[138],"beat":[139],"existing":[141],"relying":[143],"subspace":[147],"representation.":[148]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}