{"id":"https://openalex.org/W2976643397","doi":"https://doi.org/10.1109/isit.2019.8849393","title":"Broadcasting on Random Networks","display_name":"Broadcasting on Random Networks","publication_year":2019,"publication_date":"2019-07-01","ids":{"openalex":"https://openalex.org/W2976643397","doi":"https://doi.org/10.1109/isit.2019.8849393","mag":"2976643397"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2019.8849393","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2019.8849393","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/1721.1/138083","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073197040","display_name":"Anuran Makur","orcid":"https://orcid.org/0000-0002-2978-8116"},"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":"Anuran Makur","raw_affiliation_strings":["EECS","EECS and \u2020 Mathematics Departments, Massachusetts Institute of Technology"],"affiliations":[{"raw_affiliation_string":"EECS","institution_ids":[]},{"raw_affiliation_string":"EECS and \u2020 Mathematics Departments, Massachusetts Institute of Technology","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013467728","display_name":"Elchanan Mossel","orcid":"https://orcid.org/0000-0001-7812-7886"},"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":"Elchanan Mossel","raw_affiliation_strings":["Mathematics Departments, Massachusetts Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Mathematics Departments, Massachusetts Institute of Technology","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031031216","display_name":"Yury Polyanskiy","orcid":null},"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":"Yury Polyanskiy","raw_affiliation_strings":["EECS","EECS and \u2020 Mathematics Departments, Massachusetts Institute of Technology"],"affiliations":[{"raw_affiliation_string":"EECS","institution_ids":[]},{"raw_affiliation_string":"EECS and \u2020 Mathematics Departments, Massachusetts Institute of Technology","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5073197040"],"corresponding_institution_ids":["https://openalex.org/I63966007"],"apc_list":null,"apc_paid":null,"fwci":0.7994,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.7592408,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1632","last_page":"1636"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9983999729156494,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9983999729156494,"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/T12029","display_name":"DNA and Biological Computing","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9890000224113464,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5938231945037842},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.5880371332168579},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5473201870918274},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.5440347790718079},{"id":"https://openalex.org/keywords/directed-acyclic-graph","display_name":"Directed acyclic graph","score":0.4990975856781006},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.47998544573783875},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47836822271347046},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4656755328178406},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46195104718208313},{"id":"https://openalex.org/keywords/broadcasting","display_name":"Broadcasting (networking)","score":0.4253693222999573},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.401298463344574},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36621028184890747},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.15719258785247803}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5938231945037842},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.5880371332168579},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5473201870918274},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.5440347790718079},{"id":"https://openalex.org/C74197172","wikidata":"https://www.wikidata.org/wiki/Q1195339","display_name":"Directed acyclic graph","level":2,"score":0.4990975856781006},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.47998544573783875},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47836822271347046},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4656755328178406},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46195104718208313},{"id":"https://openalex.org/C110157686","wikidata":"https://www.wikidata.org/wiki/Q922122","display_name":"Broadcasting (networking)","level":2,"score":0.4253693222999573},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.401298463344574},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36621028184890747},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.15719258785247803},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/isit.2019.8849393","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2019.8849393","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:dspace.mit.edu:1721.1/138083","is_oa":true,"landing_page_url":"https://hdl.handle.net/1721.1/138083","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"MIT web domain","raw_type":"http://purl.org/eprint/type/ConferencePaper"},{"id":"pmh:oai:dspace.mit.edu:1721.1/138083.2","is_oa":true,"landing_page_url":"https://hdl.handle.net/1721.1/138083.2","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"MIT web domain","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:dspace.mit.edu:1721.1/138083","is_oa":true,"landing_page_url":"https://hdl.handle.net/1721.1/138083","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"MIT web domain","raw_type":"http://purl.org/eprint/type/ConferencePaper"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W139685425","https://openalex.org/W1818081266","https://openalex.org/W1846857138","https://openalex.org/W1996199671","https://openalex.org/W2024231387","https://openalex.org/W2029127025","https://openalex.org/W2043509032","https://openalex.org/W2054104481","https://openalex.org/W2064369971","https://openalex.org/W2075008459","https://openalex.org/W2137906383","https://openalex.org/W2148533576","https://openalex.org/W2164716567","https://openalex.org/W2168290833","https://openalex.org/W2293231900","https://openalex.org/W2497735908","https://openalex.org/W2900073520","https://openalex.org/W3182208082","https://openalex.org/W6756051503"],"related_works":["https://openalex.org/W4302345037","https://openalex.org/W2731094954","https://openalex.org/W2789273959","https://openalex.org/W1998712144","https://openalex.org/W2952978498","https://openalex.org/W2951342393","https://openalex.org/W4300790155","https://openalex.org/W2594542601","https://openalex.org/W2048565150","https://openalex.org/W2144579822"],"abstract_inverted_index":{"We":[0,80],"study":[1],"a":[2,22,27,36,154,191,223],"generalization":[3],"of":[4,7,14,38,93,102,118,178,249],"the":[5,12,71,100,148,170,195,208,239],"problem":[6],"broadcasting":[8,83,143],"on":[9],"trees":[10],"to":[11,35,64,73,116],"setting":[13],"directed":[15],"acyclic":[16],"graphs":[17],"(DAGs).":[18],"At":[19,50],"time":[20,51,237],"0,":[21],"source":[23],"vertex":[24,44],"X":[25,46,90],"transmits":[26],"uniform":[28],"bit":[29],"along":[30],"binary":[31],"symmetric":[32],"channels":[33],"(BSCs)":[34],"set":[37],"vertices":[39,55,74,104],"called":[40],"layer":[41,57,76,109],"1.":[42,79],"Each":[43],"except":[45],"has":[47],"indegree":[48],"d.":[49],"k":[52,58,77],"\u2265":[53,166,203],"1,":[54],"at":[56,75,105],"apply":[59],"d-input":[60],"Boolean":[61],"processing":[62,183,197,216],"functions":[63,217],"their":[65],"received":[66],"bits":[67],"and":[68,121,126,140,157,181],"send":[69],"out":[70],"results":[72],"+":[78],"say":[81],"that":[82,142,207,252],"is":[84,113,144,152,220],"possible":[85,146],"if":[86,147,218],"we":[87,135,168,189,205,241],"can":[88],"reconstruct":[89],"with":[91,176,247],"probability":[92],"error":[94],"bounded":[95,244],"away":[96],"from":[97,222],"1/2":[98],"using":[99,255],"values":[101],"all":[103],"an":[106],"arbitrarily":[107],"deep":[108],"k.":[110],"This":[111],"question":[112],"closely":[114],"related":[115],"models":[117],"reliable":[119],"computation":[120],"storage,":[122],"probabilistic":[123],"cellular":[124],"automata,":[125],"information":[127],"How":[128],"in":[129,232,238],"biological":[130],"networks.":[131],"In":[132],"this":[133],"work,":[134],"analyze":[136],"randomly":[137],"constructed":[138],"DAGs":[139,175,246],"demonstrate":[141],"only":[145],"BSC":[149,229],"noise":[150,230],"level":[151],"below":[153],"certain":[155],"(degree":[156],"function":[158],"dependent)":[159],"critical":[160,171],"threshold.":[161],"Specifically,":[162],"for":[163,173,194,200,227],"every":[164],"d":[165,186,202],"3,":[167,204],"identify":[169],"threshold":[172],"random":[174],"layers":[177,248],"size":[179,250],"\u03a9(log(k))":[180],"majority":[182],"functions.":[184],"For":[185],"=":[187],"2,":[188],"establish":[190],"similar":[192],"result":[193],"NAND":[196],"function.":[198],"Furthermore,":[199],"odd":[201],"prove":[206],"identified":[209],"thresholds":[210],"cannot":[211],"be":[212],"improved":[213],"by":[214],"other":[215],"reconstruction":[219,254],"required":[221],"single":[224],"vertex.":[225],"Finally,":[226],"any":[228],"level,":[231],"quasi-polynomial":[233],"or":[234],"randomized":[235],"polylogarithmic":[236],"depth,":[240],"construct":[242],"deterministic":[243],"degree":[245],"\u0398(log(k))":[251],"admit":[253],"lossless":[256],"expander":[257],"graphs.":[258]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
