{"id":"https://openalex.org/W3208556198","doi":"https://doi.org/10.1109/tit.2022.3202733","title":"Paving the Way for Consensus: Convergence of Block Gossip Algorithms","display_name":"Paving the Way for Consensus: Convergence of Block Gossip Algorithms","publication_year":2022,"publication_date":"2022-08-29","ids":{"openalex":"https://openalex.org/W3208556198","doi":"https://doi.org/10.1109/tit.2022.3202733","mag":"3208556198"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2022.3202733","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3202733","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","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/A5048004087","display_name":"Jamie Haddock","orcid":"https://orcid.org/0000-0002-1449-2574"},"institutions":[{"id":"https://openalex.org/I133543626","display_name":"Harvey Mudd College","ror":"https://ror.org/025ecfn45","country_code":"US","type":"education","lineage":["https://openalex.org/I133543626"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jamie Haddock","raw_affiliation_strings":["Department of Mathematics, Harvey Mudd College, Claremont, CA, USA"],"raw_orcid":"https://orcid.org/0000-0002-1449-2574","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harvey Mudd College, Claremont, CA, USA","institution_ids":["https://openalex.org/I133543626"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064949970","display_name":"Benjamin Jarman","orcid":"https://orcid.org/0000-0001-9910-5846"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Benjamin Jarman","raw_affiliation_strings":["Department of Mathematics, University of California at Los Angeles, Los Angeles, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California at Los Angeles, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057321706","display_name":"Chen Yap","orcid":null},"institutions":[{"id":"https://openalex.org/I4210115535","display_name":"Planet Biotechnology (United States)","ror":"https://ror.org/022weqt39","country_code":"US","type":"company","lineage":["https://openalex.org/I4210115535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chen Yap","raw_affiliation_strings":["Planet Labs Inc., San Francisco, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Planet Labs Inc., San Francisco, CA, USA","institution_ids":["https://openalex.org/I4210115535"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5048004087"],"corresponding_institution_ids":["https://openalex.org/I133543626"],"apc_list":null,"apc_paid":null,"fwci":0.856,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.73425827,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"68","issue":"11","first_page":"7515","last_page":"7527"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":1.0,"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"}},{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9919999837875366,"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"}},{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9901000261306763,"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/gossip","display_name":"Gossip","score":0.8844775557518005},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.6600822806358337},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.6011749505996704},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5886346697807312},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5769414305686951},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5451752543449402},{"id":"https://openalex.org/keywords/consensus","display_name":"Consensus","score":0.4840385317802429},{"id":"https://openalex.org/keywords/gossip-protocol","display_name":"Gossip protocol","score":0.4828789532184601},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4707886576652527},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4203662872314453},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4008519649505615},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.18144530057907104},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.11392182111740112},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08558604121208191},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08472317457199097}],"concepts":[{"id":"https://openalex.org/C62989814","wikidata":"https://www.wikidata.org/wiki/Q854648","display_name":"Gossip","level":2,"score":0.8844775557518005},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.6600822806358337},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.6011749505996704},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5886346697807312},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5769414305686951},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5451752543449402},{"id":"https://openalex.org/C107107730","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus","level":3,"score":0.4840385317802429},{"id":"https://openalex.org/C145928361","wikidata":"https://www.wikidata.org/wiki/Q5587504","display_name":"Gossip protocol","level":3,"score":0.4828789532184601},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4707886576652527},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4203662872314453},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4008519649505615},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.18144530057907104},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.11392182111740112},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08558604121208191},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08472317457199097},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2022.3202733","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3202733","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2329865184","display_name":null,"funder_award_id":"DMS 1740325","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4229992214","display_name":null,"funder_award_id":"DMS 2011140","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5359838366","display_name":null,"funder_award_id":"DMS 2211318","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G798743955","display_name":null,"funder_award_id":"DMS 1348721","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W32341072","https://openalex.org/W1516786830","https://openalex.org/W1754711404","https://openalex.org/W1967140769","https://openalex.org/W1977769089","https://openalex.org/W1988844573","https://openalex.org/W1998692453","https://openalex.org/W2004042106","https://openalex.org/W2032357669","https://openalex.org/W2048305372","https://openalex.org/W2053342145","https://openalex.org/W2098863504","https://openalex.org/W2105333851","https://openalex.org/W2110100895","https://openalex.org/W2117905067","https://openalex.org/W2120286056","https://openalex.org/W2127850304","https://openalex.org/W2130406232","https://openalex.org/W2132022337","https://openalex.org/W2148778537","https://openalex.org/W2151685478","https://openalex.org/W2154834860","https://openalex.org/W2160643434","https://openalex.org/W2161305486","https://openalex.org/W2166417226","https://openalex.org/W2168630576","https://openalex.org/W2172813797","https://openalex.org/W2537224055","https://openalex.org/W2648446509","https://openalex.org/W2938217615","https://openalex.org/W2946695070","https://openalex.org/W2949745249","https://openalex.org/W2962771678","https://openalex.org/W2971685521","https://openalex.org/W2991396480","https://openalex.org/W2999374336","https://openalex.org/W3098368877","https://openalex.org/W3102157992","https://openalex.org/W3104550706","https://openalex.org/W3126008680","https://openalex.org/W3133673702","https://openalex.org/W3199566590","https://openalex.org/W3214217583","https://openalex.org/W4238591275","https://openalex.org/W4244375620","https://openalex.org/W4250134109","https://openalex.org/W6739865746"],"related_works":["https://openalex.org/W3024820515","https://openalex.org/W2131433923","https://openalex.org/W2010318438","https://openalex.org/W2020760577","https://openalex.org/W1678654634","https://openalex.org/W2120550887","https://openalex.org/W2149172033","https://openalex.org/W2050759643","https://openalex.org/W177242786","https://openalex.org/W2108737453"],"abstract_inverted_index":{"Gossip":[0],"protocols":[1,38],"are":[2],"popular":[3],"methods":[4,130],"for":[5,17,45,55,61,79,133],"average":[6],"consensus":[7,118],"problems":[8],"in":[9],"distributed":[10],"computing.":[11],"We":[12,111],"prove":[13],"new":[14],"convergence":[15,53,74],"guarantees":[16],"a":[18,62,72,86,102,134],"variety":[19,135],"of":[20,66,88,97,105,128,136],"such":[21],"protocols,":[22],"including":[23],"path,":[24],"clique,":[25],"and":[26,39,70,120,138],"synchronous":[27],"pairwise":[28],"gossip.":[29],"These":[30],"arise":[31],"by":[32],"exploiting":[33],"the":[34,40,89,95],"connection":[35],"between":[36],"these":[37,129],"block":[41,56,80],"randomized":[42,57,81],"Kaczmarz":[43,58,82],"method":[44],"solving":[46],"linear":[47],"systems.":[48],"Moreover,":[49],"we":[50,108],"extend":[51],"existing":[52],"results":[54,78],"to":[59,94,101,116],"allow":[60],"more":[63],"general":[64],"choice":[65],"blocks,":[67],"rank-deficient":[68],"systems,":[69],"provide":[71],"tighter":[73],"rate":[75],"guarantee.":[76],"Previous":[77],"assumed":[83],"blocks":[84,106],"formed":[85],"paving":[87],"systems;":[90],"our":[91,98],"analysis,":[92],"contrary":[93],"title":[96],"paper,":[99],"generalizes":[100],"broader":[103],"class":[104],"that":[107],"call":[109],"coverings.":[110],"furthermore":[112],"apply":[113],"this":[114],"analysis":[115,127],"inconsistent":[117],"models":[119],"obtain":[121],"similar":[122],"guarantees.":[123],"An":[124],"extensive":[125],"empirical":[126],"is":[131],"provided":[132],"synthetic":[137],"real":[139],"networks.":[140]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}