{"id":"https://openalex.org/W2028273841","doi":"https://doi.org/10.1137/s0097539793252432","title":"Average and Randomized Complexity of Distributed Problems","display_name":"Average and Randomized Complexity of Distributed Problems","publication_year":1996,"publication_date":"1996-12-01","ids":{"openalex":"https://openalex.org/W2028273841","doi":"https://doi.org/10.1137/s0097539793252432","mag":"2028273841"},"language":"en","primary_location":{"id":"doi:10.1137/s0097539793252432","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539793252432","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","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/A5008987248","display_name":"Nechama Allenberg-Navony","orcid":null},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Nechama Allenberg-Navony","raw_affiliation_strings":["Computer Science Department Technion Haifa Israel"],"affiliations":[{"raw_affiliation_string":"Computer Science Department Technion Haifa Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019800362","display_name":"Alon Itai","orcid":null},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Alon Itai","raw_affiliation_strings":["Computer Science Department Technion Haifa Israel"],"affiliations":[{"raw_affiliation_string":"Computer Science Department Technion Haifa Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007961513","display_name":"Shlomo Moran","orcid":"https://orcid.org/0000-0003-3222-3308"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Shlomo Moran","raw_affiliation_strings":["Computer Science Department Technion Haifa Israel"],"affiliations":[{"raw_affiliation_string":"Computer Science Department Technion Haifa Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5008987248"],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.15513149,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"25","issue":"6","first_page":"1254","last_page":"1267"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9958999752998352,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9930999875068665,"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/computation","display_name":"Computation","score":0.6832913160324097},{"id":"https://openalex.org/keywords/randomized-algorithm","display_name":"Randomized algorithm","score":0.6337468028068542},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.5816217660903931},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5809752941131592},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5595284104347229},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5343780517578125},{"id":"https://openalex.org/keywords/model-of-computation","display_name":"Model of computation","score":0.5171658396720886},{"id":"https://openalex.org/keywords/distributed-algorithm","display_name":"Distributed algorithm","score":0.5077539682388306},{"id":"https://openalex.org/keywords/asymptotic-computational-complexity","display_name":"Asymptotic computational complexity","score":0.5076030492782593},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.4976811707019806},{"id":"https://openalex.org/keywords/worst-case-complexity","display_name":"Worst-case complexity","score":0.4769662618637085},{"id":"https://openalex.org/keywords/complexity-class","display_name":"Complexity class","score":0.4727538526058197},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4584199786186218},{"id":"https://openalex.org/keywords/decision-tree-model","display_name":"Decision tree model","score":0.4517136216163635},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45015543699264526},{"id":"https://openalex.org/keywords/average-case-complexity","display_name":"Average-case complexity","score":0.44258803129196167},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41082483530044556},{"id":"https://openalex.org/keywords/decision-tree","display_name":"Decision tree","score":0.23130685091018677},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.17685618996620178},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12185022234916687},{"id":"https://openalex.org/keywords/computational-resource","display_name":"Computational resource","score":0.12066486477851868}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6832913160324097},{"id":"https://openalex.org/C128669082","wikidata":"https://www.wikidata.org/wiki/Q583461","display_name":"Randomized algorithm","level":2,"score":0.6337468028068542},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5816217660903931},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5809752941131592},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5595284104347229},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5343780517578125},{"id":"https://openalex.org/C184596265","wikidata":"https://www.wikidata.org/wiki/Q2651576","display_name":"Model of computation","level":3,"score":0.5171658396720886},{"id":"https://openalex.org/C130120984","wikidata":"https://www.wikidata.org/wiki/Q2835898","display_name":"Distributed algorithm","level":2,"score":0.5077539682388306},{"id":"https://openalex.org/C164215192","wikidata":"https://www.wikidata.org/wiki/Q13414364","display_name":"Asymptotic computational complexity","level":4,"score":0.5076030492782593},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.4976811707019806},{"id":"https://openalex.org/C96563100","wikidata":"https://www.wikidata.org/wiki/Q8037118","display_name":"Worst-case complexity","level":3,"score":0.4769662618637085},{"id":"https://openalex.org/C39637292","wikidata":"https://www.wikidata.org/wiki/Q908207","display_name":"Complexity class","level":3,"score":0.4727538526058197},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4584199786186218},{"id":"https://openalex.org/C56289965","wikidata":"https://www.wikidata.org/wiki/Q5249246","display_name":"Decision tree model","level":3,"score":0.4517136216163635},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45015543699264526},{"id":"https://openalex.org/C24604422","wikidata":"https://www.wikidata.org/wiki/Q4828244","display_name":"Average-case complexity","level":3,"score":0.44258803129196167},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41082483530044556},{"id":"https://openalex.org/C84525736","wikidata":"https://www.wikidata.org/wiki/Q831366","display_name":"Decision tree","level":2,"score":0.23130685091018677},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.17685618996620178},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12185022234916687},{"id":"https://openalex.org/C127964446","wikidata":"https://www.wikidata.org/wiki/Q1092142","display_name":"Computational resource","level":3,"score":0.12066486477851868},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0097539793252432","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539793252432","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7799999713897705,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1179647052","https://openalex.org/W1827074554","https://openalex.org/W1908291764","https://openalex.org/W1967333679","https://openalex.org/W1968191405","https://openalex.org/W2001357803","https://openalex.org/W2005317574","https://openalex.org/W2006888470","https://openalex.org/W2017534864","https://openalex.org/W2020007061","https://openalex.org/W2023146810","https://openalex.org/W2024606983","https://openalex.org/W2054364230","https://openalex.org/W2059198817","https://openalex.org/W2070488416","https://openalex.org/W2070693921","https://openalex.org/W2074638099","https://openalex.org/W2075567596","https://openalex.org/W2093606353","https://openalex.org/W2752853835"],"related_works":["https://openalex.org/W2081026687","https://openalex.org/W2374430960","https://openalex.org/W1548964214","https://openalex.org/W2327776271","https://openalex.org/W1512399864","https://openalex.org/W2035152936","https://openalex.org/W2496940404","https://openalex.org/W2372260410","https://openalex.org/W3186305678","https://openalex.org/W2028273841"],"abstract_inverted_index":{"Yao":[0],"proved":[1],"that":[2,25,34,73,82],"in":[3,42,51,83,91],"the":[4,7,11,20,27,43,49,54,57,64,92,106,112],"decision-tree":[5],"model,":[6],"average":[8],"complexity":[9,21,107],"of":[10,22,46,108,114],"best":[12],"deterministic":[13,109],"algorithm":[14],"is":[15,32],"a":[16,35,70,86],"lower":[17,103],"bound":[18],"on":[19,63,105],"randomized":[23,115],"algorithms":[24,132],"solve":[26],"same":[28,58],"problem.":[29],"Here":[30],"it":[31],"shown":[33],"similar":[36,87],"result":[37],"does":[38,89],"not":[39],"always":[40],"hold":[41,90],"common":[44],"model":[45,50],"distributed":[47,93],"computation,":[48],"which":[52],"all":[53],"processors":[55],"run":[56],"program":[59],"(which":[60],"may":[61],"depend":[62],"processors\u2019":[65],"input).":[66],"We":[67],"therefore":[68],"construct":[69],"new":[71,119,122],"technique":[72,123],"together":[74],"with":[75,133],"Yao\u2019s":[76],"method":[77],"enables":[78,97],"us":[79,98],"to":[80,99,111],"show":[81],"many":[84],"cases,":[85],"relationship":[88,96],"model.":[94],"This":[95],"carry":[100],"over":[101],"known":[102],"bounds":[104],"computations":[110],"realm":[113],"computations,":[116],"thus":[117],"obtaining":[118,129],"results.":[120],"The":[121],"can":[124],"also":[125],"be":[126],"used":[127],"for":[128],"results":[130],"concerning":[131],"bounded":[134],"error.":[135]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}