{"id":"https://openalex.org/W2967669056","doi":"https://doi.org/10.1007/978-3-030-26980-7_10","title":"Souriau Exponential Map Algorithm for Machine Learning on Matrix Lie Groups","display_name":"Souriau Exponential Map Algorithm for Machine Learning on Matrix Lie Groups","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2967669056","doi":"https://doi.org/10.1007/978-3-030-26980-7_10","mag":"2967669056"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-26980-7_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-26980-7_10","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5022828632","display_name":"Fr\u00e9d\u00e9ric Barbaresco","orcid":"https://orcid.org/0000-0003-3664-3609"},"institutions":[{"id":"https://openalex.org/I4210140930","display_name":"Thales (France)","ror":"https://ror.org/04emwm605","country_code":"FR","type":"company","lineage":["https://openalex.org/I4210140930"]},{"id":"https://openalex.org/I112991645","display_name":"Airbus (France)","ror":"https://ror.org/023qdcg29","country_code":"FR","type":"company","lineage":["https://openalex.org/I112991645","https://openalex.org/I4210121748"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Fr\u00e9d\u00e9ric Barbaresco","raw_affiliation_strings":["Thales Land & Air Systems, 91470, Limours, France","Thales, Limours, France"],"affiliations":[{"raw_affiliation_string":"Thales Land & Air Systems, 91470, Limours, France","institution_ids":["https://openalex.org/I112991645","https://openalex.org/I4210140930"]},{"raw_affiliation_string":"Thales, Limours, France","institution_ids":["https://openalex.org/I4210140930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5022828632"],"corresponding_institution_ids":["https://openalex.org/I112991645","https://openalex.org/I4210140930"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":4.4148,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.95035768,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"85","last_page":"95"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9843000173568726,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/matrix-exponential","display_name":"Matrix exponential","score":0.7322899699211121},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.6196086406707764},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6030874848365784},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5472351312637329},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5364865064620972},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5194479823112488},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.510651171207428},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5102648735046387},{"id":"https://openalex.org/keywords/lie-group","display_name":"Lie group","score":0.4189165234565735},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.344616174697876},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34123149514198303},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22920078039169312},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14404407143592834},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.11823973059654236},{"id":"https://openalex.org/keywords/database","display_name":"Database","score":0.08934715390205383},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0802769660949707}],"concepts":[{"id":"https://openalex.org/C195906000","wikidata":"https://www.wikidata.org/wiki/Q1191722","display_name":"Matrix exponential","level":3,"score":0.7322899699211121},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.6196086406707764},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6030874848365784},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5472351312637329},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5364865064620972},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5194479823112488},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.510651171207428},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5102648735046387},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.4189165234565735},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.344616174697876},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34123149514198303},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22920078039169312},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14404407143592834},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.11823973059654236},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.08934715390205383},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0802769660949707},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-26980-7_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-26980-7_10","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W47149592","https://openalex.org/W149384130","https://openalex.org/W630464945","https://openalex.org/W1963918412","https://openalex.org/W1968818070","https://openalex.org/W1970935533","https://openalex.org/W1981041413","https://openalex.org/W1985377331","https://openalex.org/W1990753794","https://openalex.org/W2006409769","https://openalex.org/W2010054205","https://openalex.org/W2010652522","https://openalex.org/W2011872397","https://openalex.org/W2014302352","https://openalex.org/W2025216121","https://openalex.org/W2027333436","https://openalex.org/W2027959753","https://openalex.org/W2034163269","https://openalex.org/W2047842475","https://openalex.org/W2048115008","https://openalex.org/W2057602562","https://openalex.org/W2067136705","https://openalex.org/W2072515612","https://openalex.org/W2092749323","https://openalex.org/W2113097540","https://openalex.org/W2317871201","https://openalex.org/W2793642948"],"related_works":["https://openalex.org/W2389214306","https://openalex.org/W4235240664","https://openalex.org/W2965083567","https://openalex.org/W2757182831","https://openalex.org/W4317660424","https://openalex.org/W4382762952","https://openalex.org/W2067382432","https://openalex.org/W1969390712","https://openalex.org/W2589376966","https://openalex.org/W1970439644"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}