{"id":"https://openalex.org/W4406090494","doi":"https://doi.org/10.1137/24m1630566","title":"Quotient Geometry of Bounded or Fixed-Rank Correlation Matrices","display_name":"Quotient Geometry of Bounded or Fixed-Rank Correlation Matrices","publication_year":2025,"publication_date":"2025-01-06","ids":{"openalex":"https://openalex.org/W4406090494","doi":"https://doi.org/10.1137/24m1630566"},"language":"en","primary_location":{"id":"doi:10.1137/24m1630566","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1630566","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","raw_type":"journal-article"},"type":"article","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/A5007681203","display_name":"Hengchao Chen","orcid":"https://orcid.org/0000-0001-7574-6796"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Hengchao Chen","raw_affiliation_strings":["Department of Statistical Sciences, University of Toronto, Toronto, ON M5G 1X6, Canada"],"raw_orcid":"https://orcid.org/0000-0001-7574-6796","affiliations":[{"raw_affiliation_string":"Department of Statistical Sciences, University of Toronto, Toronto, ON M5G 1X6, Canada","institution_ids":["https://openalex.org/I185261750"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5007681203"],"corresponding_institution_ids":["https://openalex.org/I185261750"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00372963,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"46","issue":"1","first_page":"121","last_page":"150"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9983000159263611,"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9983000159263611,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9979000091552734,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9855999946594238,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8825709819793701},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.8048104643821716},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7263050079345703},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6206063032150269},{"id":"https://openalex.org/keywords/algebraic-geometry","display_name":"Algebraic geometry","score":0.4592857360839844},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4239282011985779},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4199610948562622},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3692469000816345},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33020347356796265},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28778326511383057}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8825709819793701},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.8048104643821716},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7263050079345703},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6206063032150269},{"id":"https://openalex.org/C68363185","wikidata":"https://www.wikidata.org/wiki/Q180969","display_name":"Algebraic geometry","level":2,"score":0.4592857360839844},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4239282011985779},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4199610948562622},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3692469000816345},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33020347356796265},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28778326511383057}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/24m1630566","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1630566","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W31605538","https://openalex.org/W612167574","https://openalex.org/W1481420904","https://openalex.org/W1557324374","https://openalex.org/W1965325756","https://openalex.org/W1967765022","https://openalex.org/W1983496390","https://openalex.org/W2005577322","https://openalex.org/W2026366832","https://openalex.org/W2032236594","https://openalex.org/W2040125300","https://openalex.org/W2044981864","https://openalex.org/W2048192550","https://openalex.org/W2058343378","https://openalex.org/W2059640215","https://openalex.org/W2079635207","https://openalex.org/W2097137621","https://openalex.org/W2104068117","https://openalex.org/W2105400683","https://openalex.org/W2106746318","https://openalex.org/W2109409043","https://openalex.org/W2117198760","https://openalex.org/W2147675445","https://openalex.org/W2155779374","https://openalex.org/W2167868121","https://openalex.org/W2522924024","https://openalex.org/W2781582618","https://openalex.org/W2886989735","https://openalex.org/W2904850325","https://openalex.org/W2938665791","https://openalex.org/W2963448920","https://openalex.org/W2964068697","https://openalex.org/W2969707820","https://openalex.org/W2969781782","https://openalex.org/W2974392686","https://openalex.org/W2990577510","https://openalex.org/W2995905072","https://openalex.org/W3041361970","https://openalex.org/W3101125767","https://openalex.org/W3121687142","https://openalex.org/W3168607775","https://openalex.org/W3185851089","https://openalex.org/W3204152613","https://openalex.org/W4205293427","https://openalex.org/W4206033904","https://openalex.org/W4281710336","https://openalex.org/W4282010712","https://openalex.org/W4310902938","https://openalex.org/W4315436281","https://openalex.org/W4386965239","https://openalex.org/W4391418067"],"related_works":["https://openalex.org/W2949502838","https://openalex.org/W4313895414","https://openalex.org/W3013085049","https://openalex.org/W3041175538","https://openalex.org/W4287062960","https://openalex.org/W3191134132","https://openalex.org/W1560496689","https://openalex.org/W1992739770","https://openalex.org/W4298367522","https://openalex.org/W1964382976"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-12-22T23:10:17.713674","created_date":"2025-10-10T00:00:00"}