{"id":"https://openalex.org/W1534201377","doi":"https://doi.org/10.1007/978-3-540-27819-1_40","title":"A Statistical Mechanics Analysis of Gram Matrix Eigenvalue Spectra","display_name":"A Statistical Mechanics Analysis of Gram Matrix Eigenvalue Spectra","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W1534201377","doi":"https://doi.org/10.1007/978-3-540-27819-1_40","mag":"1534201377"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-27819-1_40","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-27819-1_40","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":"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/A5014404477","display_name":"David C. Hoyle","orcid":"https://orcid.org/0000-0003-3483-5885"},"institutions":[{"id":"https://openalex.org/I23923803","display_name":"University of Exeter","ror":"https://ror.org/03yghzc09","country_code":"GB","type":"education","lineage":["https://openalex.org/I23923803"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"David C. Hoyle","raw_affiliation_strings":["Dept. Computer Science, University of Exeter, Harrison Building, North Park Road, Exeter, EX4 4QF, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. Computer Science, University of Exeter, Harrison Building, North Park Road, Exeter, EX4 4QF, UK","institution_ids":["https://openalex.org/I23923803"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023995814","display_name":"Magnus Rattray","orcid":"https://orcid.org/0000-0001-8196-5565"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Magnus Rattray","raw_affiliation_strings":["Dept. Computer Science, University of Manchester, Kilburn Building, Oxford Rd., Manchester, M13 9PL, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. Computer Science, University of Manchester, Kilburn Building, Oxford Rd., Manchester, M13 9PL, UK","institution_ids":["https://openalex.org/I28407311"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.5472,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.64338235,"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":"579","last_page":"593"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9973000288009644,"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/T11716","display_name":"Random Matrices and Applications","score":0.9973000288009644,"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/T12303","display_name":"Tensor decomposition and applications","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/gramian-matrix","display_name":"Gramian matrix","score":0.6962099075317383},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6666091084480286},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5509662628173828},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5296233296394348},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.46930837631225586},{"id":"https://openalex.org/keywords/gaussian-function","display_name":"Gaussian function","score":0.43604224920272827},{"id":"https://openalex.org/keywords/random-matrix","display_name":"Random matrix","score":0.4354337453842163},{"id":"https://openalex.org/keywords/statistical-mechanics","display_name":"Statistical mechanics","score":0.4236133396625519},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41487014293670654},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.41159212589263916},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4064967930316925},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.37460100650787354},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22000828385353088},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.16183626651763916}],"concepts":[{"id":"https://openalex.org/C77246614","wikidata":"https://www.wikidata.org/wiki/Q1409400","display_name":"Gramian matrix","level":3,"score":0.6962099075317383},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6666091084480286},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5509662628173828},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5296233296394348},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.46930837631225586},{"id":"https://openalex.org/C7218915","wikidata":"https://www.wikidata.org/wiki/Q1054475","display_name":"Gaussian function","level":3,"score":0.43604224920272827},{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.4354337453842163},{"id":"https://openalex.org/C99874945","wikidata":"https://www.wikidata.org/wiki/Q188715","display_name":"Statistical mechanics","level":2,"score":0.4236133396625519},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41487014293670654},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.41159212589263916},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4064967930316925},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.37460100650787354},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22000828385353088},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.16183626651763916},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-540-27819-1_40","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-27819-1_40","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.62.8320","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.62.8320","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.manchester.ac.uk/ai/Papers/magnus/HoyleRattray_COLT04.pdf","raw_type":"text"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/646ca6c5-75ad-44d2-86c7-1dfd093c5cdb","is_oa":false,"landing_page_url":"https://research.manchester.ac.uk/en/publications/646ca6c5-75ad-44d2-86c7-1dfd093c5cdb","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Hoyle, D C & Rattray, M 2004, A statistical mechanics analysis of Gram matrix eigenvalue spectra. in J Shawe-Taylor & Y Singer (eds), Lecture Notes in Artificial Intelligence (Subseries of Lecture Notes in Computer Science)|Lect Notes Artif Intell. vol. 3120, Lecture Notes in Computer Science, Springer Nature, pp. 579-593, 17th Annual Conference on Learning Theory, COLT 2004, Banff, 1/07/04. < http://dblp.uni-trier.de/db/conf/colt/colt2004.html#HoyleR04 >","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:pure.atira.dk:publications/646ca6c5-75ad-44d2-86c7-1dfd093c5cdb","is_oa":false,"landing_page_url":"https://www.research.manchester.ac.uk/portal/en/publications/a-statistical-mechanics-analysis-of-gram-matrix-eigenvalue-spectra(646ca6c5-75ad-44d2-86c7-1dfd093c5cdb).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Hoyle, D C & Rattray, M 2004, A statistical mechanics analysis of Gram matrix eigenvalue spectra. in J Shawe-Taylor & Y Singer (eds), Lecture Notes in Artificial Intelligence (Subseries of Lecture Notes in Computer Science)|Lect Notes Artif Intell. vol. 3120, Lecture Notes in Computer Science, Springer Nature, pp. 579-593, 17th Annual Conference on Learning Theory, COLT 2004, Banff, 1/07/04. < http://dblp.uni-trier.de/db/conf/colt/colt2004.html#HoyleR04 >","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1520752838","https://openalex.org/W1579388241","https://openalex.org/W1650706190","https://openalex.org/W2006785121","https://openalex.org/W2010793745","https://openalex.org/W2027382864","https://openalex.org/W2050222016","https://openalex.org/W2060581589","https://openalex.org/W2088872013","https://openalex.org/W2095817904","https://openalex.org/W2109025268","https://openalex.org/W2120062331","https://openalex.org/W2140095548","https://openalex.org/W2141325825","https://openalex.org/W2165918462","https://openalex.org/W3105771524"],"related_works":["https://openalex.org/W2384408398","https://openalex.org/W2804516791","https://openalex.org/W2999533062","https://openalex.org/W4312290701","https://openalex.org/W2027072693","https://openalex.org/W3161938660","https://openalex.org/W4287180928","https://openalex.org/W1987190824","https://openalex.org/W4285219580","https://openalex.org/W4389611271"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}
