{"id":"https://openalex.org/W2543442138","doi":"https://doi.org/10.1109/itw.2016.7606796","title":"A totally geodesic submanifold of the multivariate normal distributions and bounds for the Fisher-Rao distance","display_name":"A totally geodesic submanifold of the multivariate normal distributions and bounds for the Fisher-Rao distance","publication_year":2016,"publication_date":"2016-09-01","ids":{"openalex":"https://openalex.org/W2543442138","doi":"https://doi.org/10.1109/itw.2016.7606796","mag":"2543442138"},"language":"en","primary_location":{"id":"doi:10.1109/itw.2016.7606796","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2016.7606796","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5085240217","display_name":"Jo\u00e3o E. Strapasson","orcid":"https://orcid.org/0000-0001-9079-5860"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Joao E. Strapasson","raw_affiliation_strings":["School of Applied Sciences, University of Campinas Campinas, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Applied Sciences, University of Campinas Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018706583","display_name":"Julianna Pinele","orcid":"https://orcid.org/0000-0003-0092-4206"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Julianna Pinele","raw_affiliation_strings":["Institute of Mathematics, University of Campinas Campinas, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of Campinas Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077453229","display_name":"Sueli I. R. Costa","orcid":"https://orcid.org/0000-0002-8837-9291"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Sueli I. R. Costa","raw_affiliation_strings":["Institute of Mathematics, University of Campinas Campinas, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of Campinas Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I181391015"],"apc_list":null,"apc_paid":null,"fwci":1.0644,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.75480256,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"61","last_page":"65"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.994700014591217,"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.994700014591217,"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/T12417","display_name":"Morphological variations and asymmetry","score":0.9829000234603882,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9829000234603882,"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/mathematics","display_name":"Mathematics","score":0.7773392796516418},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.7576614618301392},{"id":"https://openalex.org/keywords/fisher-information","display_name":"Fisher information","score":0.6745089292526245},{"id":"https://openalex.org/keywords/submanifold","display_name":"Submanifold","score":0.6744371652603149},{"id":"https://openalex.org/keywords/statistical-manifold","display_name":"Statistical manifold","score":0.6523631811141968},{"id":"https://openalex.org/keywords/information-geometry","display_name":"Information geometry","score":0.6090537309646606},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.60015469789505},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.5641688108444214},{"id":"https://openalex.org/keywords/multivariate-normal-distribution","display_name":"Multivariate normal distribution","score":0.5620138049125671},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.48338642716407776},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.4801563620567322},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3970775604248047},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35177022218704224},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3390633761882782},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2951850891113281},{"id":"https://openalex.org/keywords/scalar-curvature","display_name":"Scalar curvature","score":0.10205230116844177},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.09088853001594543}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7773392796516418},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.7576614618301392},{"id":"https://openalex.org/C29406490","wikidata":"https://www.wikidata.org/wiki/Q1420659","display_name":"Fisher information","level":2,"score":0.6745089292526245},{"id":"https://openalex.org/C151300846","wikidata":"https://www.wikidata.org/wiki/Q125539","display_name":"Submanifold","level":2,"score":0.6744371652603149},{"id":"https://openalex.org/C169391604","wikidata":"https://www.wikidata.org/wiki/Q7604402","display_name":"Statistical manifold","level":5,"score":0.6523631811141968},{"id":"https://openalex.org/C109546454","wikidata":"https://www.wikidata.org/wiki/Q3798604","display_name":"Information geometry","level":4,"score":0.6090537309646606},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.60015469789505},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.5641688108444214},{"id":"https://openalex.org/C177384507","wikidata":"https://www.wikidata.org/wiki/Q1149000","display_name":"Multivariate normal distribution","level":3,"score":0.5620138049125671},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.48338642716407776},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.4801563620567322},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3970775604248047},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35177022218704224},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3390633761882782},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2951850891113281},{"id":"https://openalex.org/C12520029","wikidata":"https://www.wikidata.org/wiki/Q1147161","display_name":"Scalar curvature","level":3,"score":0.10205230116844177},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.09088853001594543},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/itw.2016.7606796","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2016.7606796","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W88077589","https://openalex.org/W204310959","https://openalex.org/W1540596182","https://openalex.org/W1980595940","https://openalex.org/W2017203286","https://openalex.org/W2037900003","https://openalex.org/W2044981864","https://openalex.org/W2057383624","https://openalex.org/W2062984229","https://openalex.org/W2068131844","https://openalex.org/W2069045878","https://openalex.org/W2088141002","https://openalex.org/W2107773691","https://openalex.org/W2277541416","https://openalex.org/W2293423363","https://openalex.org/W2520958989","https://openalex.org/W4229633200","https://openalex.org/W6603558344","https://openalex.org/W6608273935","https://openalex.org/W6632267817","https://openalex.org/W6695205178"],"related_works":["https://openalex.org/W1742234374","https://openalex.org/W334503494","https://openalex.org/W2155379735","https://openalex.org/W1964020044","https://openalex.org/W2125882322","https://openalex.org/W2057383624","https://openalex.org/W2030711521","https://openalex.org/W1609560631","https://openalex.org/W1996955012","https://openalex.org/W2080446023"],"abstract_inverted_index":{"In":[0,19],"information":[1,17],"geometry":[2],"a":[3],"Riemannian":[4],"manifold":[5],"of":[6,37],"probability":[7],"distributions":[8,36,49],"is":[9],"considered":[10],"with":[11],"the":[12,27,43],"metric":[13],"given":[14],"by":[15,33],"Fisher":[16],"matrix.":[18],"this":[20],"paper":[21],"we":[22],"approach":[23],"explicit":[24],"forms":[25],"for":[26,42],"Fisher-Rao":[28],"distance":[29,44],"in":[30,57],"spaces":[31],"composed":[32],"multivariate":[34],"normal":[35,48],"particular":[38],"forms.":[39],"Upper":[40],"bounds":[41],"between":[45],"two":[46],"general":[47],"are":[50,55],"presented":[51],"and":[52],"their":[53],"tightness":[54],"discussed":[56],"specific":[58],"cases.":[59]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
