{"id":"https://openalex.org/W2766712485","doi":"https://doi.org/10.1007/978-3-319-68445-1_29","title":"On Affine Immersions of the Probability Simplex and Their Conformal Flattening","display_name":"On Affine Immersions of the Probability Simplex and Their Conformal Flattening","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2766712485","doi":"https://doi.org/10.1007/978-3-319-68445-1_29","mag":"2766712485"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-68445-1_29","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-68445-1_29","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/A5024059119","display_name":"Atsumi Ohara","orcid":"https://orcid.org/0000-0001-9447-2399"},"institutions":[{"id":"https://openalex.org/I111966504","display_name":"University of Fukui","ror":"https://ror.org/00msqp585","country_code":"JP","type":"education","lineage":["https://openalex.org/I111966504"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Atsumi Ohara","raw_affiliation_strings":["University of Fukui, Fukui, 910-8507, Japan"],"affiliations":[{"raw_affiliation_string":"University of Fukui, Fukui, 910-8507, Japan","institution_ids":["https://openalex.org/I111966504"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5024059119"],"corresponding_institution_ids":["https://openalex.org/I111966504"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.6539,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.73727366,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"247","last_page":"254"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9994000196456909,"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":0.9994000196456909,"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/flattening","display_name":"Flattening","score":0.8261128067970276},{"id":"https://openalex.org/keywords/conformal-map","display_name":"Conformal map","score":0.7985286712646484},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.7901455163955688},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.6971782445907593},{"id":"https://openalex.org/keywords/hessian-matrix","display_name":"Hessian matrix","score":0.6083200573921204},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.5959243178367615},{"id":"https://openalex.org/keywords/conformal-field-theory","display_name":"Conformal field theory","score":0.4423694908618927},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4294929504394531},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3577682077884674},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3054502606391907},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2553991675376892},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24107909202575684},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.19476264715194702},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08647298812866211}],"concepts":[{"id":"https://openalex.org/C19444555","wikidata":"https://www.wikidata.org/wiki/Q212750","display_name":"Flattening","level":2,"score":0.8261128067970276},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.7985286712646484},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.7901455163955688},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.6971782445907593},{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.6083200573921204},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5959243178367615},{"id":"https://openalex.org/C54613284","wikidata":"https://www.wikidata.org/wiki/Q1191271","display_name":"Conformal field theory","level":3,"score":0.4423694908618927},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4294929504394531},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3577682077884674},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3054502606391907},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2553991675376892},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24107909202575684},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.19476264715194702},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08647298812866211},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-68445-1_29","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-68445-1_29","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":11,"referenced_works":["https://openalex.org/W63331941","https://openalex.org/W1573082642","https://openalex.org/W1586524688","https://openalex.org/W1672879477","https://openalex.org/W1985821416","https://openalex.org/W2026987897","https://openalex.org/W2092081856","https://openalex.org/W2110730115","https://openalex.org/W2110861437","https://openalex.org/W2169063888","https://openalex.org/W2289492256"],"related_works":["https://openalex.org/W2049450268","https://openalex.org/W2076772710","https://openalex.org/W3163663844","https://openalex.org/W2627522194","https://openalex.org/W2046237991","https://openalex.org/W2504233681","https://openalex.org/W2946123365","https://openalex.org/W2015179278","https://openalex.org/W2390326991","https://openalex.org/W2394331547"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"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"}