{"id":"https://openalex.org/W2128252562","doi":"https://doi.org/10.1109/allerton.2010.5707038","title":"Tied Kronecker product graph models to capture variance in network populations","display_name":"Tied Kronecker product graph models to capture variance in network populations","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W2128252562","doi":"https://doi.org/10.1109/allerton.2010.5707038","mag":"2128252562"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2010.5707038","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2010.5707038","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-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/A5060132668","display_name":"Sebasti\u00e1n Moreno","orcid":"https://orcid.org/0000-0001-5422-0656"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sebastian Moreno","raw_affiliation_strings":["Department of Computer Science, Purdue University, West Lafayette, IN, USA","Department of Computer Science, Purdue University, West Lafayette, IN, 47907, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Purdue University, West Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"Department of Computer Science, Purdue University, West Lafayette, IN, 47907, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079050185","display_name":"Sergey Kirshner","orcid":null},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sergey Kirshner","raw_affiliation_strings":["Department of Statistics, Purdue University, West Lafayette, IN, USA","Department of Statistics, Purdue University West Lafayette, IN 47907, USA"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Purdue University, West Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"Department of Statistics, Purdue University West Lafayette, IN 47907, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064439579","display_name":"Jennifer Neville","orcid":"https://orcid.org/0000-0001-8108-4899"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jennifer Neville","raw_affiliation_strings":["Department of Statistics, Purdue University, West Lafayette, IN, USA","Department of Computer Science, Purdue University, West Lafayette, IN, 47907, USA"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Purdue University, West Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"Department of Computer Science, Purdue University, West Lafayette, IN, 47907, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013623933","display_name":"S. V. N. Vishwanathan","orcid":null},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S.V.N. Vishwanathan","raw_affiliation_strings":["Purdue University System, West Lafayette, IN, US","Department of Statistics, Purdue University West Lafayette, IN 47907, USA"],"affiliations":[{"raw_affiliation_string":"Purdue University System, West Lafayette, IN, US","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"Department of Statistics, Purdue University West Lafayette, IN 47907, USA","institution_ids":["https://openalex.org/I219193219"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5060132668"],"corresponding_institution_ids":["https://openalex.org/I219193219"],"apc_list":null,"apc_paid":null,"fwci":1.881,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.87059782,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1137","last_page":"1144"},"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":0.9685999751091003,"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/T11273","display_name":"Advanced Graph Neural Networks","score":0.9660999774932861,"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/computer-science","display_name":"Computer science","score":0.6760017275810242},{"id":"https://openalex.org/keywords/kronecker-product","display_name":"Kronecker product","score":0.6738084554672241},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.6144829988479614},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6076363325119019},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5413974523544312},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5305923223495483},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4262154698371887},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.42487892508506775},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3249126076698303},{"id":"https://openalex.org/keywords/kronecker-delta","display_name":"Kronecker delta","score":0.3069620728492737},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2183745801448822}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6760017275810242},{"id":"https://openalex.org/C46030957","wikidata":"https://www.wikidata.org/wiki/Q1238125","display_name":"Kronecker product","level":3,"score":0.6738084554672241},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.6144829988479614},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6076363325119019},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5413974523544312},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5305923223495483},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4262154698371887},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.42487892508506775},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3249126076698303},{"id":"https://openalex.org/C39482219","wikidata":"https://www.wikidata.org/wiki/Q192826","display_name":"Kronecker delta","level":2,"score":0.3069620728492737},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2183745801448822},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","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},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/allerton.2010.5707038","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2010.5707038","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},{"id":"pmh:oai:docs.lib.purdue.edu:cstech-2764","is_oa":false,"landing_page_url":"https://docs.lib.purdue.edu/cstech/1764","pdf_url":null,"source":{"id":"https://openalex.org/S4377196310","display_name":"Purdue e-Pubs (Purdue University System)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801333002","host_organization_name":"Purdue University System","host_organization_lineage":["https://openalex.org/I2801333002"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Department of Computer Science Technical Reports","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.174.8332","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.174.8332","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.purdue.edu/homes/neville/papers/moreno-allerton2010.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Responsible consumption and production","id":"https://metadata.un.org/sdg/12","score":0.5099999904632568}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W753235638","https://openalex.org/W1646238826","https://openalex.org/W2008620264","https://openalex.org/W2076844992","https://openalex.org/W2112090702","https://openalex.org/W2112681514","https://openalex.org/W2115579680","https://openalex.org/W2135838082","https://openalex.org/W2148606196","https://openalex.org/W2172067437","https://openalex.org/W3004555699","https://openalex.org/W4234057457","https://openalex.org/W6622035575","https://openalex.org/W6677111876"],"related_works":["https://openalex.org/W123417539","https://openalex.org/W4233239985","https://openalex.org/W2079407403","https://openalex.org/W2060299328","https://openalex.org/W2117336295","https://openalex.org/W2073634779","https://openalex.org/W3102722572","https://openalex.org/W2090103374","https://openalex.org/W1564288589","https://openalex.org/W577870507"],"abstract_inverted_index":{"Much":[0],"of":[1,17,33,35,45,90,101,116,126,149],"the":[2,14,31,42,59,85,99,106,124,127,131,143],"past":[3],"work":[4],"on":[5,12,109],"mining":[6],"and":[7,69],"modeling":[8],"networks":[9,68],"has":[10],"focused":[11],"understanding":[13,111],"observed":[15,65],"properties":[16,44,64],"single":[18],"example":[19],"graphs.":[20,36],"However,":[21],"in":[22,62],"many":[23],"real-life":[24],"applications":[25],"it":[26],"is":[27,95],"important":[28],"to":[29,98,122],"characterize":[30],"structure":[32],"populations":[34],"In":[37],"this":[38,88,110],"work,":[39],"we":[40,52,82,112],"investigate":[41],"distributional":[43],"Kronecker":[46],"product":[47],"graph":[48,63],"models":[49,56],"(KPGMs).":[50],"Specifically,":[51],"examine":[53],"whether":[54],"these":[55],"can":[57,83,140],"represent":[58],"natural":[60,144],"variability":[61,145],"across":[66,146],"multiple":[67],"find":[70],"surprisingly":[71],"that":[72,118,137],"they":[73],"cannot.":[74],"By":[75],"considering":[76],"KPGMs":[77,117],"from":[78,105],"a":[79,114,147],"new":[80],"viewpoint,":[81],"show":[84,135],"reason":[86],"for":[87],"lack":[89],"variance":[91,125],"theoretically":[92],"-":[93],"which":[94],"primarily":[96],"due":[97],"generation":[100],"each":[102],"edge":[103],"independently":[104],"others.":[107],"Based":[108],"propose":[113],"generalization":[115],"uses":[119],"tied":[120],"parameters":[121],"increase":[123],"model,":[128],"while":[129],"preserving":[130],"expectation.":[132],"We":[133],"then":[134],"experimentally,":[136],"our":[138],"mixed-KPGM":[139],"adequately":[141],"capture":[142],"population":[148],"networks.":[150]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
