{"id":"https://openalex.org/W2968876335","doi":"https://doi.org/10.1007/978-3-030-26980-7_17","title":"Lie Group Machine Learning and Gibbs Density on Poincar\u00e9 Unit Disk from Souriau Lie Groups Thermodynamics and SU(1,1) Coadjoint Orbits","display_name":"Lie Group Machine Learning and Gibbs Density on Poincar\u00e9 Unit Disk from Souriau Lie Groups Thermodynamics and SU(1,1) Coadjoint Orbits","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2968876335","doi":"https://doi.org/10.1007/978-3-030-26980-7_17","mag":"2968876335"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-26980-7_17","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-26980-7_17","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/I112991645","display_name":"Airbus (France)","ror":"https://ror.org/023qdcg29","country_code":"FR","type":"company","lineage":["https://openalex.org/I112991645","https://openalex.org/I4210121748"]},{"id":"https://openalex.org/I4210140930","display_name":"Thales (France)","ror":"https://ror.org/04emwm605","country_code":"FR","type":"company","lineage":["https://openalex.org/I4210140930"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Fr\u00e9d\u00e9ric Barbaresco","raw_affiliation_strings":["Thales Land & Air Systems, Limours, France","Thales, Limours, France"],"affiliations":[{"raw_affiliation_string":"Thales Land & Air Systems, 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":2.3984,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.88309754,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"157","last_page":"170"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9351000189781189,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9351000189781189,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9291999936103821,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9230999946594238,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/lie-group","display_name":"Lie group","score":0.7635020017623901},{"id":"https://openalex.org/keywords/moment-map","display_name":"Moment map","score":0.6510418653488159},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5839359164237976},{"id":"https://openalex.org/keywords/symplectic-geometry","display_name":"Symplectic geometry","score":0.513207197189331},{"id":"https://openalex.org/keywords/geometric-mechanics","display_name":"Geometric mechanics","score":0.45944392681121826},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.37184250354766846},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.3456727862358093},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.27057942748069763},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.14392143487930298},{"id":"https://openalex.org/keywords/quantum-statistical-mechanics","display_name":"Quantum statistical mechanics","score":0.13437101244926453},{"id":"https://openalex.org/keywords/analytical-mechanics","display_name":"Analytical mechanics","score":0.1296500563621521}],"concepts":[{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.7635020017623901},{"id":"https://openalex.org/C40265840","wikidata":"https://www.wikidata.org/wiki/Q6897118","display_name":"Moment map","level":3,"score":0.6510418653488159},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5839359164237976},{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.513207197189331},{"id":"https://openalex.org/C206444204","wikidata":"https://www.wikidata.org/wiki/Q17086162","display_name":"Geometric mechanics","level":5,"score":0.45944392681121826},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37184250354766846},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.3456727862358093},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.27057942748069763},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.14392143487930298},{"id":"https://openalex.org/C34829970","wikidata":"https://www.wikidata.org/wiki/Q845260","display_name":"Quantum statistical mechanics","level":3,"score":0.13437101244926453},{"id":"https://openalex.org/C206183056","wikidata":"https://www.wikidata.org/wiki/Q833065","display_name":"Analytical mechanics","level":4,"score":0.1296500563621521},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-26980-7_17","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-26980-7_17","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W29387393","https://openalex.org/W161085534","https://openalex.org/W1494980438","https://openalex.org/W1515431404","https://openalex.org/W1585454614","https://openalex.org/W1619942397","https://openalex.org/W1714389122","https://openalex.org/W1971406782","https://openalex.org/W1982454643","https://openalex.org/W1986406747","https://openalex.org/W2010341591","https://openalex.org/W2014558193","https://openalex.org/W2015683036","https://openalex.org/W2055926231","https://openalex.org/W2061304262","https://openalex.org/W2089790936","https://openalex.org/W2101546653","https://openalex.org/W2491656334","https://openalex.org/W2521913697","https://openalex.org/W2530146443","https://openalex.org/W2738328132","https://openalex.org/W2747359964","https://openalex.org/W2899662430","https://openalex.org/W2967669056","https://openalex.org/W2969920453","https://openalex.org/W3102883859","https://openalex.org/W3105386330","https://openalex.org/W3105521986","https://openalex.org/W4246077597"],"related_works":["https://openalex.org/W1551196389","https://openalex.org/W1942379929","https://openalex.org/W2979877758","https://openalex.org/W4300936295","https://openalex.org/W2315532216","https://openalex.org/W1984102342","https://openalex.org/W2063232430","https://openalex.org/W1993318100","https://openalex.org/W4319793425","https://openalex.org/W2968876335"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
