{"id":"https://openalex.org/W2018738723","doi":"https://doi.org/10.1162/014892602760137167","title":"Algorithms for Chordal Analysis","display_name":"Algorithms for Chordal Analysis","publication_year":2002,"publication_date":"2002-06-01","ids":{"openalex":"https://openalex.org/W2018738723","doi":"https://doi.org/10.1162/014892602760137167","mag":"2018738723"},"language":"en","primary_location":{"id":"doi:10.1162/014892602760137167","is_oa":false,"landing_page_url":"https://doi.org/10.1162/014892602760137167","pdf_url":null,"source":{"id":"https://openalex.org/S165362224","display_name":"Computer Music Journal","issn_l":"0148-9267","issn":["0148-9267","1531-5169"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Music Journal","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/A5102878078","display_name":"Bryan Pardo","orcid":"https://orcid.org/0000-0002-1427-6492"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Bryan Pardo","raw_affiliation_strings":["Artificial Intelligence Laboratory, Electrical Engineering and Computer Science Department, The University of Michigan, 110 ATL Building, 1101 Beal Ave., Ann Arbor, MI 48109-2110, USA,"],"affiliations":[{"raw_affiliation_string":"Artificial Intelligence Laboratory, Electrical Engineering and Computer Science Department, The University of Michigan, 110 ATL Building, 1101 Beal Ave., Ann Arbor, MI 48109-2110, USA,","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013309904","display_name":"William P. Birmingham","orcid":null},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"William P. Birmingham","raw_affiliation_strings":["Artificial Intelligence Laboratory, Electrical Engineering and Computer Science Department, The University of Michigan, 110 ATL Building, 1101 Beal Ave., Ann Arbor, MI 48109-2110, USA,"],"affiliations":[{"raw_affiliation_string":"Artificial Intelligence Laboratory, Electrical Engineering and Computer Science Department, The University of Michigan, 110 ATL Building, 1101 Beal Ave., Ann Arbor, MI 48109-2110, USA,","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102878078"],"corresponding_institution_ids":["https://openalex.org/I27837315"],"apc_list":null,"apc_paid":null,"fwci":2.6012,"has_fulltext":false,"cited_by_count":114,"citation_normalized_percentile":{"value":0.9038407,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"26","issue":"2","first_page":"27","last_page":"49"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11309","display_name":"Music and Audio Processing","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11309","display_name":"Music and Audio Processing","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11349","display_name":"Music Technology and Sound Studies","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9713000059127808,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/icon","display_name":"Icon","score":0.684301495552063},{"id":"https://openalex.org/keywords/citation","display_name":"Citation","score":0.5594776272773743},{"id":"https://openalex.org/keywords/download","display_name":"Download","score":0.4768301546573639},{"id":"https://openalex.org/keywords/library-science","display_name":"Library science","score":0.4385400414466858},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3620625138282776},{"id":"https://openalex.org/keywords/history","display_name":"History","score":0.3225272297859192},{"id":"https://openalex.org/keywords/world-wide-web","display_name":"World Wide Web","score":0.27450844645500183}],"concepts":[{"id":"https://openalex.org/C2778447006","wikidata":"https://www.wikidata.org/wiki/Q1156474","display_name":"Icon","level":2,"score":0.684301495552063},{"id":"https://openalex.org/C2778805511","wikidata":"https://www.wikidata.org/wiki/Q1713","display_name":"Citation","level":2,"score":0.5594776272773743},{"id":"https://openalex.org/C2780154274","wikidata":"https://www.wikidata.org/wiki/Q7126717","display_name":"Download","level":2,"score":0.4768301546573639},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.4385400414466858},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3620625138282776},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.3225272297859192},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.27450844645500183},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1162/014892602760137167","is_oa":false,"landing_page_url":"https://doi.org/10.1162/014892602760137167","pdf_url":null,"source":{"id":"https://openalex.org/S165362224","display_name":"Computer Music Journal","issn_l":"0148-9267","issn":["0148-9267","1531-5169"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Music Journal","raw_type":"journal-article"},{"id":"pmh:oai:muse.jhu.edu:/article/7911","is_oa":false,"landing_page_url":"https://muse.jhu.edu/article/7911","pdf_url":null,"source":{"id":"https://openalex.org/S4377196299","display_name":"Project Muse (Johns Hopkins University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I145311948","host_organization_name":"Johns Hopkins University","host_organization_lineage":["https://openalex.org/I145311948"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.195.8272","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.195.8272","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-personal.umich.edu/~bryanp/pardo-birmingham-cmj02.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W566998866","https://openalex.org/W1551208207","https://openalex.org/W1657671243","https://openalex.org/W1977304153","https://openalex.org/W2016503548","https://openalex.org/W2023425980","https://openalex.org/W2037874181","https://openalex.org/W2039423452","https://openalex.org/W2059467401","https://openalex.org/W2061981200","https://openalex.org/W2068358788","https://openalex.org/W2081963390","https://openalex.org/W2159474564","https://openalex.org/W2174206963","https://openalex.org/W2261519798","https://openalex.org/W2316253388","https://openalex.org/W2328058034","https://openalex.org/W2618680896","https://openalex.org/W2747546778","https://openalex.org/W2752885492"],"related_works":["https://openalex.org/W3175319091","https://openalex.org/W4360922125","https://openalex.org/W2056060060","https://openalex.org/W2175435306","https://openalex.org/W220677501","https://openalex.org/W2076882245","https://openalex.org/W2981902742","https://openalex.org/W4207071872","https://openalex.org/W4283720006","https://openalex.org/W2074153818"],"abstract_inverted_index":{"This":[0],"paper":[1],"describes":[2],"a":[3,40,78,102],"system":[4],"for":[5],"chordal":[6],"analysis":[7],"of":[8,30,37,42,49,66,77,87],"tonal":[9],"music.":[10,43],"We":[11,44,60],"establish":[12],"that,":[13,46],"in":[14,39],"the":[15,18,20,24,28,50,56,64,67,75,88,108],"worst":[16],"case,":[17],"segmenting":[19,89],"music":[21,51,104],"and":[22,90,107],"labeling":[23,92],"harmonies":[25],"takes":[26],"on":[27],"order":[29],"2^n":[31],"steps,":[32],"where":[33],"n":[34],"is":[35],"number":[36],"notes":[38],"piece":[41],"show":[45,62],"when":[47],"segments":[48],"can":[52,70],"be":[53,71],"analyzed":[54],"locally,":[55],"problem":[57],"becomes":[58],"O(n^2).":[59],"then":[61,95],"that":[63,80],"results":[65,86,110],"O(n^2)":[68],"search":[69],"closely":[72],"approximated":[73],"through":[74],"use":[76],"heuristic":[79],"allows":[81],"O(n)":[82],"time":[83],"search.":[84],"The":[85],"chord":[91],"algorithms":[93],"are":[94,111],"empirically":[96],"measured":[97],"against":[98],"analyses":[99],"derived":[100],"from":[101],"basic":[103],"theory":[105],"text":[106],"statistical":[109],"reported.":[112]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":23},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":7}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
