{"id":"https://openalex.org/W2759721677","doi":"https://doi.org/10.1007/978-3-319-73150-6_21","title":"Why Student Distributions? Why Matern\u2019s Covariance Model? A Symmetry-Based Explanation","display_name":"Why Student Distributions? Why Matern\u2019s Covariance Model? A Symmetry-Based Explanation","publication_year":2017,"publication_date":"2017-12-18","ids":{"openalex":"https://openalex.org/W2759721677","doi":"https://doi.org/10.1007/978-3-319-73150-6_21","mag":"2759721677"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-73150-6_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-73150-6_21","pdf_url":null,"source":{"id":"https://openalex.org/S2764461748","display_name":"Studies in computational intelligence","issn_l":"1860-949X","issn":["1860-949X","1860-9503"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studies in Computational Intelligence","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/A5037782287","display_name":"Stephen Sch\u00f6n","orcid":null},"institutions":[{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Stephen Sch\u00f6n","raw_affiliation_strings":["Leibniz Universit\u00e4t Hannover, Nienburger Strasse 1, 30167, Hannover, Germany"],"affiliations":[{"raw_affiliation_string":"Leibniz Universit\u00e4t Hannover, Nienburger Strasse 1, 30167, Hannover, Germany","institution_ids":["https://openalex.org/I114112103"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046313245","display_name":"Ga\u00ebl Kermarrec","orcid":"https://orcid.org/0000-0001-5986-5269"},"institutions":[{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Gael Kermarrec","raw_affiliation_strings":["Leibniz Universit\u00e4t Hannover, Nienburger Strasse 1, 30167, Hannover, Germany"],"affiliations":[{"raw_affiliation_string":"Leibniz Universit\u00e4t Hannover, Nienburger Strasse 1, 30167, Hannover, Germany","institution_ids":["https://openalex.org/I114112103"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039902375","display_name":"Boris Kargoll","orcid":"https://orcid.org/0000-0003-3496-6391"},"institutions":[{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Boris Kargoll","raw_affiliation_strings":["Leibniz Universit\u00e4t Hannover, Nienburger Strasse 1, 30167, Hannover, Germany"],"affiliations":[{"raw_affiliation_string":"Leibniz Universit\u00e4t Hannover, Nienburger Strasse 1, 30167, Hannover, Germany","institution_ids":["https://openalex.org/I114112103"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079857116","display_name":"Ingo Neumann","orcid":"https://orcid.org/0000-0001-9110-7345"},"institutions":[{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Ingo Neumann","raw_affiliation_strings":["Leibniz Universit\u00e4t Hannover, Nienburger Strasse 1, 30167, Hannover, Germany"],"affiliations":[{"raw_affiliation_string":"Leibniz Universit\u00e4t Hannover, Nienburger Strasse 1, 30167, Hannover, Germany","institution_ids":["https://openalex.org/I114112103"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075920182","display_name":"Olga Kosheleva","orcid":"https://orcid.org/0000-0003-2587-4209"},"institutions":[{"id":"https://openalex.org/I164936912","display_name":"The University of Texas at El Paso","ror":"https://ror.org/04d5vba33","country_code":"US","type":"education","lineage":["https://openalex.org/I164936912"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Olga Kosheleva","raw_affiliation_strings":["University of Texas at El Paso, 500 W. University, El Paso, TX, 79968, USA"],"affiliations":[{"raw_affiliation_string":"University of Texas at El Paso, 500 W. University, El Paso, TX, 79968, USA","institution_ids":["https://openalex.org/I164936912"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061275811","display_name":"\u0412\u043b\u0430\u0434\u0438\u043a \u041a\u0440\u0435\u0439\u043d\u043e\u0432\u0438\u0447","orcid":"https://orcid.org/0000-0002-1244-1650"},"institutions":[{"id":"https://openalex.org/I164936912","display_name":"The University of Texas at El Paso","ror":"https://ror.org/04d5vba33","country_code":"US","type":"education","lineage":["https://openalex.org/I164936912"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vladik Kreinovich","raw_affiliation_strings":["Computer Science Department, University of Texas at El Paso, El Paso, Texas, USA","University of Texas at El Paso, 500 W. University, El Paso, TX, 79968, USA"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, University of Texas at El Paso, El Paso, Texas, USA","institution_ids":["https://openalex.org/I164936912"]},{"raw_affiliation_string":"University of Texas at El Paso, 500 W. University, El Paso, TX, 79968, USA","institution_ids":["https://openalex.org/I164936912"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5037782287"],"corresponding_institution_ids":["https://openalex.org/I114112103"],"apc_list":null,"apc_paid":null,"fwci":2.5197,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.91941673,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"266","last_page":"275"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11875","display_name":"Statistics Education and Methodologies","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11875","display_name":"Statistics Education and Methodologies","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.98089998960495,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9405999779701233,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.6744731664657593},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5782809257507324},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.5320913195610046},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40880724787712097},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38610637187957764},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35508644580841064},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34012359380722046},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2435784935951233},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1935146152973175},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08223426342010498}],"concepts":[{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.6744731664657593},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5782809257507324},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.5320913195610046},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40880724787712097},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38610637187957764},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35508644580841064},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34012359380722046},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2435784935951233},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1935146152973175},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08223426342010498}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-319-73150-6_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-73150-6_21","pdf_url":null,"source":{"id":"https://openalex.org/S2764461748","display_name":"Studies in computational intelligence","issn_l":"1860-949X","issn":["1860-949X","1860-9503"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studies in Computational Intelligence","raw_type":"book-chapter"},{"id":"pmh:oai:digitalcommons.utep.edu:cs_techrep-2159","is_oa":false,"landing_page_url":"https://digitalcommons.utep.edu/cs_techrep/1159","pdf_url":null,"source":{"id":"https://openalex.org/S4377196403","display_name":"scholarworks - UTEP (The University of Texas at El Paso)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I164936912","host_organization_name":"The University of Texas at El Paso","host_organization_lineage":["https://openalex.org/I164936912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Departmental Technical Reports (CS)","raw_type":"text"},{"id":"pmh:oai:scholarworks.utep.edu:cs_techrep-2159","is_oa":false,"landing_page_url":"https://scholarworks.utep.edu/cs_techrep/1159","pdf_url":null,"source":{"id":"https://openalex.org/S4377196403","display_name":"scholarworks - UTEP (The University of Texas at El Paso)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I164936912","host_organization_name":"The University of Texas at El Paso","host_organization_lineage":["https://openalex.org/I164936912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Departmental Technical Reports (CS)","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W261556168","https://openalex.org/W602946569","https://openalex.org/W1509562192","https://openalex.org/W1531724333","https://openalex.org/W1655407563","https://openalex.org/W1989959848","https://openalex.org/W2009543464","https://openalex.org/W2078206416","https://openalex.org/W2118522007","https://openalex.org/W2143022286","https://openalex.org/W2800860906","https://openalex.org/W2808650095","https://openalex.org/W4210945509","https://openalex.org/W4285670724","https://openalex.org/W4298330827","https://openalex.org/W4299551239"],"related_works":["https://openalex.org/W2788344745","https://openalex.org/W2062336688","https://openalex.org/W2910677864","https://openalex.org/W2046078371","https://openalex.org/W2383820648","https://openalex.org/W4245445763","https://openalex.org/W3162209258","https://openalex.org/W2054128830","https://openalex.org/W4319736142","https://openalex.org/W2110484224"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}