{"id":"https://openalex.org/W3100018624","doi":"https://doi.org/10.1080/00401706.2021.2008503","title":"Spectral Clustering on Spherical Coordinates Under the Degree-Corrected Stochastic Blockmodel","display_name":"Spectral Clustering on Spherical Coordinates Under the Degree-Corrected Stochastic Blockmodel","publication_year":2021,"publication_date":"2021-12-02","ids":{"openalex":"https://openalex.org/W3100018624","doi":"https://doi.org/10.1080/00401706.2021.2008503","mag":"3100018624"},"language":"en","primary_location":{"id":"doi:10.1080/00401706.2021.2008503","is_oa":true,"landing_page_url":"https://doi.org/10.1080/00401706.2021.2008503","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/00401706.2021.2008503?needAccess=true","source":{"id":"https://openalex.org/S985303","display_name":"Technometrics","issn_l":"0040-1706","issn":["0040-1706","1537-2723"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Technometrics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.tandfonline.com/doi/pdf/10.1080/00401706.2021.2008503?needAccess=true","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041458702","display_name":"Francesco Sanna Passino","orcid":"https://orcid.org/0000-0002-4571-6681"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Francesco Sanna Passino","raw_affiliation_strings":["Department of Mathematics, Imperial College London, London, UK;;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Imperial College London, London, UK;;","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053225749","display_name":"Nicholas A. Heard","orcid":"https://orcid.org/0000-0002-8767-0810"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Nicholas A. Heard","raw_affiliation_strings":["Department of Mathematics, Imperial College London, London, UK;;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Imperial College London, London, UK;;","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007856828","display_name":"Patrick Rubin\u2010Delanchy","orcid":"https://orcid.org/0000-0003-0577-0795"},"institutions":[{"id":"https://openalex.org/I36234482","display_name":"University of Bristol","ror":"https://ror.org/0524sp257","country_code":"GB","type":"education","lineage":["https://openalex.org/I36234482"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Patrick Rubin-Delanchy","raw_affiliation_strings":["School of Mathematics, University of Bristol, Bristol, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Bristol, Bristol, UK","institution_ids":["https://openalex.org/I36234482"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5041458702"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":0.8122,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.69248383,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"64","issue":"3","first_page":"346","last_page":"357"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9998999834060669,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9998999834060669,"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/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9901000261306763,"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"}},{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9782000184059143,"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/spectral-clustering","display_name":"Spectral clustering","score":0.788811206817627},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.742117166519165},{"id":"https://openalex.org/keywords/spectral-space","display_name":"Spectral space","score":0.530493974685669},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5109331011772156},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4987480640411377},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.4978194236755371},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4779267907142639},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.4761878550052643},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44114959239959717},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.425245076417923},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3691145181655884},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3227371275424957},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.26051533222198486},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13835850358009338}],"concepts":[{"id":"https://openalex.org/C105611402","wikidata":"https://www.wikidata.org/wiki/Q2976589","display_name":"Spectral clustering","level":3,"score":0.788811206817627},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.742117166519165},{"id":"https://openalex.org/C2778740170","wikidata":"https://www.wikidata.org/wiki/Q7575210","display_name":"Spectral space","level":2,"score":0.530493974685669},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5109331011772156},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4987480640411377},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4978194236755371},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4779267907142639},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.4761878550052643},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44114959239959717},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.425245076417923},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3691145181655884},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3227371275424957},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26051533222198486},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13835850358009338},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1080/00401706.2021.2008503","is_oa":true,"landing_page_url":"https://doi.org/10.1080/00401706.2021.2008503","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/00401706.2021.2008503?needAccess=true","source":{"id":"https://openalex.org/S985303","display_name":"Technometrics","issn_l":"0040-1706","issn":["0040-1706","1537-2723"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Technometrics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2011.04558","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2011.04558","pdf_url":"https://arxiv.org/pdf/2011.04558","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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:spiral.imperial.ac.uk:10044/1/89017","is_oa":true,"landing_page_url":"http://hdl.handle.net/10044/1/89017","pdf_url":"http://hdl.handle.net/10044/1/89017","source":{"id":"https://openalex.org/S4306401396","display_name":"Spiral (Imperial College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I47508984","host_organization_name":"Imperial College London","host_organization_lineage":["https://openalex.org/I47508984"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Working Paper"}],"best_oa_location":{"id":"doi:10.1080/00401706.2021.2008503","is_oa":true,"landing_page_url":"https://doi.org/10.1080/00401706.2021.2008503","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/00401706.2021.2008503?needAccess=true","source":{"id":"https://openalex.org/S985303","display_name":"Technometrics","issn_l":"0040-1706","issn":["0040-1706","1537-2723"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Technometrics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2456488897","display_name":null,"funder_award_id":"1943891","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3100018624.pdf"},"referenced_works_count":52,"referenced_works":["https://openalex.org/W857387926","https://openalex.org/W1487444668","https://openalex.org/W1531677314","https://openalex.org/W1848620603","https://openalex.org/W1963954507","https://openalex.org/W1971215074","https://openalex.org/W1973207991","https://openalex.org/W1980347317","https://openalex.org/W2000031724","https://openalex.org/W2001591655","https://openalex.org/W2011832962","https://openalex.org/W2027966435","https://openalex.org/W2047109555","https://openalex.org/W2049633694","https://openalex.org/W2051638434","https://openalex.org/W2062896642","https://openalex.org/W2094990982","https://openalex.org/W2102158416","https://openalex.org/W2102907934","https://openalex.org/W2108143225","https://openalex.org/W2119998616","https://openalex.org/W2131681506","https://openalex.org/W2132914434","https://openalex.org/W2149684740","https://openalex.org/W2165874743","https://openalex.org/W2500138264","https://openalex.org/W2536263232","https://openalex.org/W2623046470","https://openalex.org/W2912500072","https://openalex.org/W2914238450","https://openalex.org/W2914552685","https://openalex.org/W2939104432","https://openalex.org/W2963246299","https://openalex.org/W2963664118","https://openalex.org/W2963683224","https://openalex.org/W2963732630","https://openalex.org/W2964146010","https://openalex.org/W2964266311","https://openalex.org/W3044177866","https://openalex.org/W3094530611","https://openalex.org/W3098075506","https://openalex.org/W3099768174","https://openalex.org/W3100144903","https://openalex.org/W3101919829","https://openalex.org/W3103168877","https://openalex.org/W3104227803","https://openalex.org/W3104299175","https://openalex.org/W4235169531","https://openalex.org/W4237768137","https://openalex.org/W4239272157","https://openalex.org/W4301621763","https://openalex.org/W4302550361"],"related_works":["https://openalex.org/W1482912984","https://openalex.org/W2972477132","https://openalex.org/W3100018624","https://openalex.org/W2181697047","https://openalex.org/W3126089168","https://openalex.org/W2792371717","https://openalex.org/W3002899590","https://openalex.org/W2541785124","https://openalex.org/W3086736791","https://openalex.org/W1599474586"],"abstract_inverted_index":{"Spectral":[0],"clustering":[1,58,91,99],"is":[2,51,101,114],"a":[3,14,25,30,96,117,127],"popular":[4],"method":[5,113,136],"for":[6,53,103,138,152],"community":[7,104],"detection":[8,105],"in":[9,70,131,168],"network":[10],"graphs:":[11],"starting":[12],"from":[13,29],"matrix":[15],"representation":[16],"of":[17,34,41,46,56,119,143,146,155],"the":[18,20,35,39,44,47,107,120,132,144,149],"graph,":[19],"nodes":[21],"are":[22,83],"clustered":[23],"on":[24,116],"low-dimensional":[26],"projection":[27],"obtained":[28],"truncated":[31],"spectral":[32,57,90,98,121,153],"decomposition":[33],"matrix.":[36],"Estimating":[37],"correctly":[38],"number":[40,145],"communities":[42,147],"and":[43,126,140,148],"dimension":[45,151],"reduced":[48],"latent":[49,150],"space":[50],"critical":[52],"good":[54],"performance":[55,164],"algorithms.":[59,92],"Furthermore,":[60],"many":[61],"real-world":[62],"graphs,":[63],"such":[64],"as":[65],"enterprise":[66],"computer":[67,170],"networks":[68],"studied":[69],"cyber-security":[71],"applications,":[72],"often":[73],"display":[74],"heterogeneous":[75,80],"within-community":[76],"degree":[77,81],"distributions.":[78],"Such":[79],"distributions":[82],"usually":[84],"not":[85],"well":[86],"captured":[87],"by":[88],"standard":[89],"In":[93],"this":[94],"article,":[95],"novel":[97,128],"algorithm":[100],"proposed":[102,112],"under":[106],"degree-corrected":[108],"stochastic":[109],"blockmodel.":[110],"The":[111,135],"based":[115],"transformation":[118],"embedding":[122],"to":[123],"spherical":[124],"coordinates,":[125],"modeling":[129],"assumption":[130],"transformed":[133],"space.":[134],"allows":[137],"simultaneous":[139],"automated":[141],"selection":[142],"embeddings":[154],"graphs":[156],"with":[157],"uneven":[158],"node":[159],"degrees.":[160],"Results":[161],"show":[162],"improved":[163],"over":[165],"competing":[166],"methods":[167],"representing":[169],"networks.":[171]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2025-10-10T00:00:00"}