{"id":"https://openalex.org/W4399924296","doi":"https://doi.org/10.23919/fusion59988.2024.10706414","title":"An Intrinsic Modified Cram\u00e9r-Rao Bound on Lie Groups","display_name":"An Intrinsic Modified Cram\u00e9r-Rao Bound on Lie Groups","publication_year":2024,"publication_date":"2024-07-08","ids":{"openalex":"https://openalex.org/W4399924296","doi":"https://doi.org/10.23919/fusion59988.2024.10706414"},"language":"en","primary_location":{"id":"doi:10.23919/fusion59988.2024.10706414","is_oa":false,"landing_page_url":"https://doi.org/10.23919/fusion59988.2024.10706414","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 27th International Conference on Information Fusion (FUSION)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-04620291/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071079441","display_name":"Sara El Bouch","orcid":"https://orcid.org/0000-0003-3854-7979"},"institutions":[{"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"]},{"id":"https://openalex.org/I193033237","display_name":"Institut Sup\u00e9rieur de l'A\u00e9ronautique et de l'Espace (ISAE-SUPAERO)","ror":"https://ror.org/04gyj6s21","country_code":"FR","type":"education","lineage":["https://openalex.org/I193033237"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Sara El Bouch","raw_affiliation_strings":["University of Toulouse, ISAE-Supaéro,Toulouse,France","ISAE-SUPAERO - Institut Sup\u00e9rieur de l'A\u00e9ronautique et de l'Espace (ISAE - 10 av. Edouard Belin - BP 54032 - 31055 TOULOUSE Cedex 4 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Toulouse, ISAE-Supaéro,Toulouse,France","institution_ids":["https://openalex.org/I17866349"]},{"raw_affiliation_string":"ISAE-SUPAERO - Institut Sup\u00e9rieur de l'A\u00e9ronautique et de l'Espace (ISAE - 10 av. Edouard Belin - BP 54032 - 31055 TOULOUSE Cedex 4 - France)","institution_ids":["https://openalex.org/I193033237"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025974670","display_name":"Samy Labsir","orcid":"https://orcid.org/0000-0001-9276-6561"},"institutions":[{"id":"https://openalex.org/I58581550","display_name":"Institut Polytechnique des Sciences Avanc\u00e9es","ror":"https://ror.org/050r7zc91","country_code":"FR","type":"education","lineage":["https://openalex.org/I58581550"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Samy Labsir","raw_affiliation_strings":["IPSA/TéSA,Toulouse,France","IPSA - Institut Polytechnique des Sciences Avanc\u00e9es (5-9 rue Maurice Grandcoing 94200 Ivry-sur-Seine - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IPSA/TéSA,Toulouse,France","institution_ids":[]},{"raw_affiliation_string":"IPSA - Institut Polytechnique des Sciences Avanc\u00e9es (5-9 rue Maurice Grandcoing 94200 Ivry-sur-Seine - France)","institution_ids":["https://openalex.org/I58581550"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044736586","display_name":"Alexandre Renaux","orcid":"https://orcid.org/0000-0003-3413-1765"},"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/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Alexandre Renaux","raw_affiliation_strings":["University of Paris-Saclay,Paris,France","L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Paris-Saclay,Paris,France","institution_ids":["https://openalex.org/I277688954"]},{"raw_affiliation_string":"L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)","institution_ids":["https://openalex.org/I4210097418"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052097693","display_name":"Jordi Vil\u00e0\u2010Valls","orcid":"https://orcid.org/0000-0001-7858-4171"},"institutions":[{"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"]},{"id":"https://openalex.org/I193033237","display_name":"Institut Sup\u00e9rieur de l'A\u00e9ronautique et de l'Espace (ISAE-SUPAERO)","ror":"https://ror.org/04gyj6s21","country_code":"FR","type":"education","lineage":["https://openalex.org/I193033237"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jordi Vil\u00e0-Valls","raw_affiliation_strings":["University of Toulouse, ISAE-Supaéro,Toulouse,France","ISAE-SUPAERO - Institut Sup\u00e9rieur de l'A\u00e9ronautique et de l'Espace (ISAE - 10 av. Edouard Belin - BP 54032 - 31055 TOULOUSE Cedex 4 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Toulouse, ISAE-Supaéro,Toulouse,France","institution_ids":["https://openalex.org/I17866349"]},{"raw_affiliation_string":"ISAE-SUPAERO - Institut Sup\u00e9rieur de l'A\u00e9ronautique et de l'Espace (ISAE - 10 av. Edouard Belin - BP 54032 - 31055 TOULOUSE Cedex 4 - France)","institution_ids":["https://openalex.org/I193033237"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051195246","display_name":"\u00c9ric Chaumette","orcid":"https://orcid.org/0000-0002-7029-3019"},"institutions":[{"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"]},{"id":"https://openalex.org/I193033237","display_name":"Institut Sup\u00e9rieur de l'A\u00e9ronautique et de l'Espace (ISAE-SUPAERO)","ror":"https://ror.org/04gyj6s21","country_code":"FR","type":"education","lineage":["https://openalex.org/I193033237"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Eric Chaumette","raw_affiliation_strings":["University of Toulouse, ISAE-Supaéro,Toulouse,France","ISAE-SUPAERO - Institut Sup\u00e9rieur de l'A\u00e9ronautique et de l'Espace (ISAE - 10 av. Edouard Belin - BP 54032 - 31055 TOULOUSE Cedex 4 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Toulouse, ISAE-Supaéro,Toulouse,France","institution_ids":["https://openalex.org/I17866349"]},{"raw_affiliation_string":"ISAE-SUPAERO - Institut Sup\u00e9rieur de l'A\u00e9ronautique et de l'Espace (ISAE - 10 av. Edouard Belin - BP 54032 - 31055 TOULOUSE Cedex 4 - France)","institution_ids":["https://openalex.org/I193033237"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.9731000065803528,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.9731000065803528,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T13234","display_name":"advanced mathematical theories","score":0.9161999821662903,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12508","display_name":"Functional Equations Stability Results","score":0.9068999886512756,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cram\u00e9r\u2013rao-bound","display_name":"Cram\u00e9r\u2013Rao bound","score":0.46709248423576355},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4007725119590759},{"id":"https://openalex.org/keywords/speech-recognition","display_name":"Speech recognition","score":0.3756360411643982},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3679797649383545},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3600198030471802},{"id":"https://openalex.org/keywords/maximum-likelihood","display_name":"Maximum likelihood","score":0.250293105840683}],"concepts":[{"id":"https://openalex.org/C4978587","wikidata":"https://www.wikidata.org/wiki/Q1138810","display_name":"Cram\u00e9r\u2013Rao bound","level":3,"score":0.46709248423576355},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4007725119590759},{"id":"https://openalex.org/C28490314","wikidata":"https://www.wikidata.org/wiki/Q189436","display_name":"Speech recognition","level":1,"score":0.3756360411643982},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3679797649383545},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3600198030471802},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.250293105840683}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/fusion59988.2024.10706414","is_oa":false,"landing_page_url":"https://doi.org/10.23919/fusion59988.2024.10706414","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 27th International Conference on Information Fusion (FUSION)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-04620291v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04620291","pdf_url":"https://hal.science/hal-04620291/document","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://ieee-aess.org/event/conference/2024-international-conference-information-fusion","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04620291v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04620291","pdf_url":"https://hal.science/hal-04620291/document","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://ieee-aess.org/event/conference/2024-international-conference-information-fusion","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4399924296.pdf"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W610284107","https://openalex.org/W1479979375","https://openalex.org/W1536252645","https://openalex.org/W1972344168","https://openalex.org/W1974086818","https://openalex.org/W1976659183","https://openalex.org/W1997270855","https://openalex.org/W2011586160","https://openalex.org/W2020741898","https://openalex.org/W2061580408","https://openalex.org/W2100841352","https://openalex.org/W2107189492","https://openalex.org/W2129198018","https://openalex.org/W2144598923","https://openalex.org/W2151870994","https://openalex.org/W2156077606","https://openalex.org/W2519820348","https://openalex.org/W2524449277","https://openalex.org/W2562700675","https://openalex.org/W2887699334","https://openalex.org/W2963667179","https://openalex.org/W3120989356","https://openalex.org/W4211154833","https://openalex.org/W4246841922","https://openalex.org/W4254976988","https://openalex.org/W4385515204","https://openalex.org/W4388888488","https://openalex.org/W6636257075","https://openalex.org/W6743254713"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W2120266201","https://openalex.org/W2585557503","https://openalex.org/W2389491004","https://openalex.org/W2164801693","https://openalex.org/W2035458027","https://openalex.org/W2384282517","https://openalex.org/W1976418043","https://openalex.org/W2378226311"],"abstract_inverted_index":{"The":[0,115],"Modified":[1],"Cram\u00e9r-Rao":[2],"Bound":[3],"(MCRB)":[4],"proves":[5],"to":[6,18,22,64],"be":[7,23,80],"of":[8,35,49,90,117],"significant":[9],"importance":[10],"in":[11,16,53,60],"non-standard":[12],"estimation":[13,39,51],"scenarios,":[14,56],"when":[15],"addition":[17],"unknown":[19],"deterministic":[20],"parameters":[21],"estimated,":[24],"observations":[25],"also":[26],"depend":[27],"on":[28,40,69,101,132,145],"random":[29,112,147],"nuisance":[30,113,148],"parameters.":[31,114,149],"Given":[32],"the":[33,47,57,91,129,146],"interest":[34],"applications":[36],"that":[37],"involve":[38],"Lie":[41],"Groups":[42],"(LGs),":[43],"as":[44,46],"well":[45],"relevance":[48],"nonstandard":[50],"problems":[52],"many":[54],"practical":[55],"main":[58],"concern":[59],"this":[61,73,118],"communication":[62],"is":[63,93,120],"derive":[65],"an":[66],"intrinsic":[67,130],"MCRB":[68],"LGs":[70,133],"(LG-MCRB).":[71],"For":[72],"purpose,":[74],"a":[75,83,97,135,140],"modified":[76,84],"unbiasedness":[77],"constraint":[78],"must":[79],"defined,":[81],"yielding":[82],"Barankin":[85],"Bound.":[86],"A":[87],"closed-form":[88],"formula":[89],"LG-MCRB":[92],"then":[94,121],"provided":[95],"for":[96,134],"LG":[98],"Gaussian":[99,142],"model":[100],"$S":[102],"O(2)$,":[103],"representing":[104],"$2":[105],"D$":[106],"rotation":[107],"matrices,":[108],"while":[109],"considering":[110],"non-Gaussian":[111],"validity":[116],"expression":[119],"assessed":[122],"through":[123],"numerical":[124],"simulations,":[125],"and":[126],"compared":[127],"with":[128],"CRB":[131],"simplified":[136],"illustrative":[137],"scenario,":[138],"involving":[139],"concentrated":[141],"prior":[143],"distribution":[144]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2024-06-23T00:00:00"}