{"id":"https://openalex.org/W3193902159","doi":"https://doi.org/10.1109/isit45174.2021.9517737","title":"Universal Graph Compression: Stochastic Block Models","display_name":"Universal Graph Compression: Stochastic Block Models","publication_year":2021,"publication_date":"2021-07-12","ids":{"openalex":"https://openalex.org/W3193902159","doi":"https://doi.org/10.1109/isit45174.2021.9517737","mag":"3193902159"},"language":"en","primary_location":{"id":"doi:10.1109/isit45174.2021.9517737","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit45174.2021.9517737","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Symposium on Information Theory (ISIT)","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/A5046994049","display_name":"Alankrita Bhatt","orcid":"https://orcid.org/0000-0002-5465-9041"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alankrita Bhatt","raw_affiliation_strings":["University of California San Diego,La Jolla,CA,USA,92093","University of California San Diego, La Jolla, CA, USA"],"affiliations":[{"raw_affiliation_string":"University of California San Diego,La Jolla,CA,USA,92093","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"University of California San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108033372","display_name":"Ziao Wang","orcid":"https://orcid.org/0000-0002-8019-2334"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Ziao Wang","raw_affiliation_strings":["University of British Columbia,Vancouver,BC,Canada,V6T1Z4","University of British Columbia, Vancouver, BC, Canada"],"affiliations":[{"raw_affiliation_string":"University of British Columbia,Vancouver,BC,Canada,V6T1Z4","institution_ids":["https://openalex.org/I141945490"]},{"raw_affiliation_string":"University of British Columbia, Vancouver, BC, Canada","institution_ids":["https://openalex.org/I141945490"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100342213","display_name":"Chi Wang","orcid":"https://orcid.org/0000-0002-4751-8187"},"institutions":[{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chi Wang","raw_affiliation_strings":["Microsoft Research,Redmond,WA,USA,98052","Microsoft Research, Redmond, WA, USA"],"affiliations":[{"raw_affiliation_string":"Microsoft Research,Redmond,WA,USA,98052","institution_ids":["https://openalex.org/I1290206253"]},{"raw_affiliation_string":"Microsoft Research, Redmond, WA, USA","institution_ids":["https://openalex.org/I1290206253"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100383688","display_name":"Lele Wang","orcid":"https://orcid.org/0000-0002-4077-433X"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Lele Wang","raw_affiliation_strings":["University of British Columbia,Vancouver,BC,Canada,V6T1Z4","University of British Columbia, Vancouver, BC, Canada"],"affiliations":[{"raw_affiliation_string":"University of British Columbia,Vancouver,BC,Canada,V6T1Z4","institution_ids":["https://openalex.org/I141945490"]},{"raw_affiliation_string":"University of British Columbia, Vancouver, BC, Canada","institution_ids":["https://openalex.org/I141945490"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5046994049"],"corresponding_institution_ids":["https://openalex.org/I36258959"],"apc_list":null,"apc_paid":null,"fwci":0.6999,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.763734,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"3038","last_page":"3043"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9970999956130981,"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"}},"topics":[{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9970999956130981,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9948999881744385,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/sublinear-function","display_name":"Sublinear function","score":0.6539795994758606},{"id":"https://openalex.org/keywords/adjacency-matrix","display_name":"Adjacency matrix","score":0.6257485747337341},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5083305239677429},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5063339471817017},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.4672548472881317},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3997883200645447},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.39133644104003906},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3649333715438843},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35864830017089844},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3317025303840637},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3216279149055481},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25847548246383667}],"concepts":[{"id":"https://openalex.org/C117160843","wikidata":"https://www.wikidata.org/wiki/Q338652","display_name":"Sublinear function","level":2,"score":0.6539795994758606},{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.6257485747337341},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5083305239677429},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5063339471817017},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.4672548472881317},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3997883200645447},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39133644104003906},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3649333715438843},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35864830017089844},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3317025303840637},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3216279149055481},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25847548246383667},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit45174.2021.9517737","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit45174.2021.9517737","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1390317274","display_name":null,"funder_award_id":"CCF-1911238","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1597412403","display_name":null,"funder_award_id":"RGPIN-","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G3216283581","display_name":null,"funder_award_id":"RGPIN-201","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G5536939483","display_name":null,"funder_award_id":"DGECR-","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G6221715925","display_name":null,"funder_award_id":"RGPIN","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G7208987498","display_name":null,"funder_award_id":"DGECR-2019-00447","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G7255446008","display_name":null,"funder_award_id":"RGPIN-2019-0544","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G813468387","display_name":null,"funder_award_id":"RGPIN-2019-05448","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G832689143","display_name":null,"funder_award_id":"RGPIN-2019","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G997235446","display_name":null,"funder_award_id":"RGPIN-2019-05448,CRDPJ 543676\u201319","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1524622012","https://openalex.org/W1543897857","https://openalex.org/W1570963478","https://openalex.org/W1974967023","https://openalex.org/W1993720950","https://openalex.org/W1999120268","https://openalex.org/W2000041758","https://openalex.org/W2005437133","https://openalex.org/W2046253692","https://openalex.org/W2057754290","https://openalex.org/W2107745473","https://openalex.org/W2114874848","https://openalex.org/W2122056749","https://openalex.org/W2122962290","https://openalex.org/W2129768577","https://openalex.org/W2131348552","https://openalex.org/W2163294786","https://openalex.org/W2183235533","https://openalex.org/W2219655028","https://openalex.org/W2336317531","https://openalex.org/W2380769351","https://openalex.org/W2589006582","https://openalex.org/W2962756421","https://openalex.org/W2963264680","https://openalex.org/W3022315036","https://openalex.org/W3033055443","https://openalex.org/W3080175874","https://openalex.org/W3098141631","https://openalex.org/W3193902159","https://openalex.org/W4251333191","https://openalex.org/W6631330567"],"related_works":["https://openalex.org/W90906771","https://openalex.org/W2018828772","https://openalex.org/W2529185025","https://openalex.org/W2809723425","https://openalex.org/W2052708136","https://openalex.org/W2005302727","https://openalex.org/W3082028334","https://openalex.org/W4289097813","https://openalex.org/W4321153757","https://openalex.org/W2906263995"],"abstract_inverted_index":{"Motivated":[0],"by":[1,175],"the":[2,24,45,67,81,131,136,149],"prevalent":[3],"data":[4,11,42,165],"science":[5],"applications":[6],"of":[7,30,41,47,89,133,139],"processing":[8],"large-scale":[9],"graph":[10,59,75],"such":[12,34],"as":[13,21,23],"social":[14,71],"networks,":[15,20],"web":[16],"graphs,":[17],"and":[18,27,32,145],"biological":[19],"well":[22],"high":[25],"I/O":[26],"communication":[28],"costs":[29],"storing":[31],"transmitting":[33],"data,":[35],"this":[36],"paper":[37],"investigates":[38],"universal":[39,74,116],"compression":[40,83,117],"appearing":[43],"in":[44,70,130,148],"form":[46],"a":[48,55,86,157,176],"labeled":[49],"graph.":[50],"In":[51],"particular,":[52],"we":[53],"consider":[54],"widely":[56],"used":[57],"random":[58],"model,":[60],"stochastic":[61],"block":[62],"model":[63],"(SBM),":[64],"which":[65,79],"captures":[66],"clustering":[68],"effects":[69],"networks.":[72],"A":[73],"compressor":[76],"is":[77,182],"proposed,":[78],"achieves":[80],"optimal":[82],"rate":[84],"for":[85,108,122],"wide":[87],"family":[88],"SBMs":[90],"with":[91,127,188],"edge":[92],"probabilities":[93],"from":[94],"<tex":[95,101],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[96,102,105],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$O$</tex>":[97],"(1)":[98],"to":[99,184],"\u03a9(1/":[100],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$n$</tex>":[103],"<sup":[104],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2-\u220a</sup>":[106],")":[107],"any":[109],"0":[110],"<":[111,113],"\u220a":[112],"1.":[114],"Existing":[115],"techniques":[118],"are":[119,154,172],"developed":[120],"mostly":[121],"stationary":[123],"ergodic":[124],"one-dimensional":[125],"sequences":[126],"entropy":[128,147],"linear":[129],"number":[132],"variables.":[134],"However,":[135],"adjacency":[137],"matrix":[138],"SBM":[140],"has":[141],"complex":[142],"two-dimensional":[143,163],"correlations":[144],"sublinear":[146],"sparse":[150],"regime.":[151],"These":[152],"challenges":[153],"alleviated":[155],"through":[156],"carefully":[158],"designed":[159],"transform":[160],"that":[161],"converts":[162],"correlated":[164,186],"into":[166],"almost":[167],"i.i.d.":[168],"blocks.":[169],"The":[170],"blocks":[171],"then":[173],"compressed":[174],"Krichevsky-Trofimov":[177],"compressor,":[178],"whose":[179],"length":[180],"analysis":[181],"generalized":[183],"arbitrarily":[185],"processes":[187],"identical":[189],"marginals.":[190]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
