{"id":"https://openalex.org/W1545658340","doi":"https://doi.org/10.1109/tit.2014.2332464","title":"On Network Functional Compression","display_name":"On Network Functional Compression","publication_year":2014,"publication_date":"2014-06-30","ids":{"openalex":"https://openalex.org/W1545658340","doi":"https://doi.org/10.1109/tit.2014.2332464","mag":"1545658340"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2014.2332464","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2332464","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/A5025450606","display_name":"Soheil Feizi","orcid":"https://orcid.org/0000-0003-0944-8242"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Soheil Feizi","raw_affiliation_strings":["Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, USA","Res. Lab of Electron., Massachusetts Inst. of Technol., Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Res. Lab of Electron., Massachusetts Inst. of Technol., Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075370174","display_name":"Muriel M\u00e9dard","orcid":"https://orcid.org/0000-0003-4059-407X"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Muriel Medard","raw_affiliation_strings":["Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, USA","Res. Lab of Electron., Massachusetts Inst. of Technol., Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Res. Lab of Electron., Massachusetts Inst. of Technol., Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5025450606"],"corresponding_institution_ids":["https://openalex.org/I63966007"],"apc_list":null,"apc_paid":null,"fwci":1.0857,"has_fulltext":false,"cited_by_count":53,"citation_normalized_percentile":{"value":0.79052145,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"60","issue":"9","first_page":"5387","last_page":"5401"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998999834060669,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998999834060669,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10246","display_name":"Mobile Ad Hoc Networks","score":0.9710000157356262,"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/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6334974765777588},{"id":"https://openalex.org/keywords/linear-network-coding","display_name":"Linear network coding","score":0.561481773853302},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5195191502571106},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.507892906665802},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.4818245470523834},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4704643189907074},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4425087571144104},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4206404983997345},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.36745670437812805},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.350808322429657},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33940306305885315},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1948976218700409}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6334974765777588},{"id":"https://openalex.org/C138293262","wikidata":"https://www.wikidata.org/wiki/Q1089578","display_name":"Linear network coding","level":3,"score":0.561481773853302},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5195191502571106},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.507892906665802},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.4818245470523834},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4704643189907074},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4425087571144104},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4206404983997345},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.36745670437812805},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.350808322429657},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33940306305885315},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1948976218700409},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2014.2332464","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2332464","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":[{"score":0.5699999928474426,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G4119688956","display_name":null,"funder_award_id":"FA9550-13-1-0023","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1549664537","https://openalex.org/W1570757625","https://openalex.org/W1618438246","https://openalex.org/W1971506714","https://openalex.org/W2001498781","https://openalex.org/W2019307453","https://openalex.org/W2026641099","https://openalex.org/W2035652501","https://openalex.org/W2048235391","https://openalex.org/W2053269541","https://openalex.org/W2071801393","https://openalex.org/W2099213070","https://openalex.org/W2100436211","https://openalex.org/W2100470358","https://openalex.org/W2105831729","https://openalex.org/W2112426745","https://openalex.org/W2113222961","https://openalex.org/W2119336214","https://openalex.org/W2123976939","https://openalex.org/W2127768309","https://openalex.org/W2129119419","https://openalex.org/W2137993161","https://openalex.org/W2138256990","https://openalex.org/W2138928022","https://openalex.org/W2146247100","https://openalex.org/W2150412388","https://openalex.org/W2152546104","https://openalex.org/W2152556909","https://openalex.org/W2158565632","https://openalex.org/W2164437783","https://openalex.org/W2164651000","https://openalex.org/W2164684058","https://openalex.org/W2168920751","https://openalex.org/W2169744769","https://openalex.org/W2172202720","https://openalex.org/W2172236196","https://openalex.org/W2209179758","https://openalex.org/W2964116608","https://openalex.org/W3145128584","https://openalex.org/W4213060235"],"related_works":["https://openalex.org/W2212571888","https://openalex.org/W2139379087","https://openalex.org/W2086397253","https://openalex.org/W2411336269","https://openalex.org/W2020805386","https://openalex.org/W2133122801","https://openalex.org/W3014803371","https://openalex.org/W2124128583","https://openalex.org/W2489403550","https://openalex.org/W1969015756"],"abstract_inverted_index":{"In":[0,24,79,165,224],"this":[1,52,80,154],"paper,":[2,81],"we":[3,19,82,95,141,167,200,226],"consider":[4,227],"different":[5],"aspects":[6],"of":[7,10,29,35,51,67,76,161,194,230,245,261,266],"the":[8,58,68,71,74,77,159,181,220,256],"problem":[9,53],"compressing":[11],"for":[12,107,191,264],"function":[13,31,271],"computation":[14,28],"across":[15],"a":[16,30,42,91,97,102,120,137,143,171,192,241,246],"network,":[17,94,140],"which":[18,199],"call":[20,201],"network":[21,25,43,69,174],"functional":[22,26],"compression.":[23],"compression,":[27],"(or,":[32],"some":[33,250],"functions)":[34],"sources":[36],"located":[37],"at":[38,46,212],"certain":[39,61],"nodes":[40,186,214],"in":[41,57,65,158,170],"is":[44,156,206],"desired":[45,257],"receiver(s).":[47],"The":[48],"rate":[49,98,133,144,182,221],"region":[50,99],"has":[54],"been":[55],"considered":[56],"literature":[59],"under":[60,249],"restrictive":[62],"assumptions,":[63],"particularly":[64],"terms":[66],"topology,":[70],"functions,":[72],"and":[73,104,151,196,234,269],"characteristics":[75],"sources.":[78,164],"present":[83],"results":[84,263],"that":[85],"significantly":[86],"relax":[87],"these":[88,262],"assumptions.":[89],"For":[90,136],"one-stage":[92],"tree":[93,139,173],"characterize":[96],"by":[100],"introducing":[101],"necessary":[103],"sufficient":[105,207],"condition":[106],"any":[108],"achievable":[109],"coloring-based":[110,231],"coding":[111,122,232],"scheme":[112,123],"called":[113],"coloring":[114,244],"connectivity":[115],"condition.":[116],"We":[117],"also":[118],"propose":[119,235],"modularized":[121],"based":[124,147],"on":[125,148,252],"graph":[126,149,248],"colorings":[127],"to":[128,132,179,208,215,219,239],"perform":[129,188,216],"arbitrarily":[130,217],"closely":[131,218],"lower":[134,145,183,222],"bounds.":[135],"general":[138,172],"provide":[142],"bound":[146,155],"entropies":[150],"show":[152,168],"that,":[153,169],"tight":[157],"case":[160,175],"having":[162,267],"independent":[163,177],"particular,":[166],"with":[176],"sources,":[178],"achieve":[180],"bound,":[184],"intermediate":[185,213],"should":[187],"computations.":[189],"However,":[190],"family":[193],"functions":[195],"random":[197],"variables,":[198],"chain-rule":[202],"proper":[203],"sets,":[204],"it":[205],"have":[209],"no":[210],"computations":[211,272],"bound.":[223],"addition,":[225],"practical":[228],"issues":[229],"schemes":[233],"an":[236],"efficient":[237],"algorithm":[238],"compute":[240],"minimum":[242],"entropy":[243],"characteristic":[247],"conditions":[251],"source":[253],"distributions":[254],"and/or":[255],"function.":[258],"Finally,":[259],"extensions":[260],"cases":[265],"feedback":[268],"lossy":[270],"are":[273],"discussed.":[274]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}