{"id":"https://openalex.org/W2110110846","doi":"https://doi.org/10.1137/s0097539792235864","title":"Amortized Communication Complexity","display_name":"Amortized Communication Complexity","publication_year":1995,"publication_date":"1995-08-01","ids":{"openalex":"https://openalex.org/W2110110846","doi":"https://doi.org/10.1137/s0097539792235864","mag":"2110110846"},"language":"en","primary_location":{"id":"doi:10.1137/s0097539792235864","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539792235864","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/A5109192583","display_name":"Tom\u00e1s Feder","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Tom\u00e1s Feder","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036104549","display_name":"Eyal Kushilevitz","orcid":"https://orcid.org/0009-0009-9277-3863"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Eyal Kushilevitz","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002372704","display_name":"Moni Naor","orcid":"https://orcid.org/0000-0003-3381-0221"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Moni Naor","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5081416898","display_name":"Noam Nisan","orcid":"https://orcid.org/0000-0003-3106-6304"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Noam Nisan","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5109192583"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1393,"has_fulltext":false,"cited_by_count":119,"citation_normalized_percentile":{"value":0.87744722,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"24","issue":"4","first_page":"736","last_page":"750"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998999834060669,"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":0.9998999834060669,"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/T10237","display_name":"Cryptography and Data Security","score":0.9991000294685364,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.995199978351593,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/communication-complexity","display_name":"Communication complexity","score":0.8671302795410156},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.688325822353363},{"id":"https://openalex.org/keywords/amortized-analysis","display_name":"Amortized analysis","score":0.5763195753097534},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5713796019554138},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.5160055160522461},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.5099519491195679},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.4970581829547882},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.45688799023628235},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4249805212020874},{"id":"https://openalex.org/keywords/data-structure","display_name":"Data structure","score":0.22729960083961487},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21831128001213074},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20531019568443298}],"concepts":[{"id":"https://openalex.org/C179145077","wikidata":"https://www.wikidata.org/wiki/Q5154130","display_name":"Communication complexity","level":2,"score":0.8671302795410156},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.688325822353363},{"id":"https://openalex.org/C142417499","wikidata":"https://www.wikidata.org/wiki/Q331716","display_name":"Amortized analysis","level":3,"score":0.5763195753097534},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5713796019554138},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.5160055160522461},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5099519491195679},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.4970581829547882},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.45688799023628235},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4249805212020874},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.22729960083961487},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21831128001213074},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20531019568443298},{"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},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0097539792235864","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539792235864","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.54.1602","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.54.1602","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.technion.ac.il/~eyalk/FKNN.ps.Z","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1898653522","https://openalex.org/W1966278576","https://openalex.org/W1976287608","https://openalex.org/W1995365759","https://openalex.org/W2010730726","https://openalex.org/W2019807548","https://openalex.org/W2042272086","https://openalex.org/W2071801393","https://openalex.org/W2088263428","https://openalex.org/W2138185924","https://openalex.org/W2165621523"],"related_works":["https://openalex.org/W1673132890","https://openalex.org/W4296603869","https://openalex.org/W4287719698","https://openalex.org/W2036908068","https://openalex.org/W3115255814","https://openalex.org/W1948781505","https://openalex.org/W4377371889","https://openalex.org/W2013784340","https://openalex.org/W2128703986","https://openalex.org/W2137360270"],"abstract_inverted_index":{"In":[0],"this":[1],"work":[2],"we":[3,106,130],"study":[4,79],"the":[5,23,43,51,56,63,80,83,90,157,175],"direct-sum":[6],"problem":[7],"with":[8],"respect":[9],"to":[10],"communication":[11,24,44,58,64,85,92,102,113,122,136,145,159,168,177],"complexity:":[12],"Consider":[13],"a":[14,95,108,132,152],"relation":[15,96],"f":[16,29,49,61,69,174,180],"defined":[17],"over":[18],"$\\{0,1\\}^{n}":[19],"\\times":[20],"\\{0,1\\}^{n}$.":[21],"Can":[22],"complexity":[25,45,59,65,93,114,123,137,146,160,169,178],"of":[26,46,60,66,82,94,161,166,179],"simultaneously":[27,67],"computing":[28,48,68],"on":[30,50,70,156],"$\\ell":[31,52,71,76],"$":[32,53,72],"instances":[33,73],"$(x_{1},":[34],"y_{1}),":[35],"\\dotsc":[36],",":[37],"(x_{\\ell},":[38],"y_{\\ell})$":[39],"be":[40,62,98],"smaller":[41,99],"than":[42,100],"separately":[47],"instances?":[54],"Let":[55],"amortized":[57,84,91,120,143,158,176],"divided":[74],"by":[75],"$.":[77],"We":[78,87,149],"properties":[81],"complexity.":[86,103],"show":[88],"that":[89],"can":[97],"its":[101,167],"More":[104],"precisely,":[105],"present":[107,131],"partial":[109],"function":[110,133,173],"whose":[111,134],"(deterministic)":[112,121],"is":[115,124,138,147,181],"$\\Theta":[116,139],"(\\log":[117,140],"n)$":[118,141],"and":[119,142],"$O(1)$.":[125,148],"Similarly,":[126],"for":[127,171],"randomized":[128,135,144],"protocols":[129],"also":[150],"give":[151],"general":[153],"lower":[154],"bound":[155],"any":[162],"functionf":[163],"in":[164],"terms":[165],"$C(f)$:":[170],"every":[172],"$\\Omega":[182],"(\\sqrt{C(f)}":[183],"-":[184],"\\log":[185],"n)$.":[186]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":20},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}