{"id":"https://openalex.org/W3081465874","doi":"https://doi.org/10.1109/isit44484.2020.9174464","title":"Broadcasting on trees near criticality","display_name":"Broadcasting on trees near criticality","publication_year":2020,"publication_date":"2020-06-01","ids":{"openalex":"https://openalex.org/W3081465874","doi":"https://doi.org/10.1109/isit44484.2020.9174464","mag":"3081465874"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit44484.2020.9174464","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2005.07801","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062979441","display_name":"Yuzhou Gu","orcid":"https://orcid.org/0000-0002-9187-9190"},"institutions":[{"id":"https://openalex.org/I4210133369","display_name":"Decision Sciences (United States)","ror":"https://ror.org/03gcvf773","country_code":"US","type":"company","lineage":["https://openalex.org/I4210133369"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yuzhou Gu","raw_affiliation_strings":["Department of EECS and Laboratory of Decision and Information Sciences (LIDS), MIT"],"affiliations":[{"raw_affiliation_string":"Department of EECS and Laboratory of Decision and Information Sciences (LIDS), MIT","institution_ids":["https://openalex.org/I4210133369"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080988803","display_name":"Hajir Roozbehani","orcid":null},"institutions":[{"id":"https://openalex.org/I4210133369","display_name":"Decision Sciences (United States)","ror":"https://ror.org/03gcvf773","country_code":"US","type":"company","lineage":["https://openalex.org/I4210133369"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hajir Roozbehani","raw_affiliation_strings":["Department of EECS and Laboratory of Decision and Information Sciences (LIDS), MIT"],"affiliations":[{"raw_affiliation_string":"Department of EECS and Laboratory of Decision and Information Sciences (LIDS), MIT","institution_ids":["https://openalex.org/I4210133369"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031031216","display_name":"Yury Polyanskiy","orcid":null},"institutions":[{"id":"https://openalex.org/I4210133369","display_name":"Decision Sciences (United States)","ror":"https://ror.org/03gcvf773","country_code":"US","type":"company","lineage":["https://openalex.org/I4210133369"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yury Polyanskiy","raw_affiliation_strings":["Department of EECS and Laboratory of Decision and Information Sciences (LIDS), MIT"],"affiliations":[{"raw_affiliation_string":"Department of EECS and Laboratory of Decision and Information Sciences (LIDS), MIT","institution_ids":["https://openalex.org/I4210133369"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.861,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.60179,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":73,"max":77},"biblio":{"volume":null,"issue":null,"first_page":"1504","last_page":"1509"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9994,"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"}},"topics":[{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9994,"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"}},{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9946,"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"}},{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9885,"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":[],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49659115},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.45051402},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39820075},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.38824877},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37644717},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34191138},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31566387},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.28310543},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.099467695}],"mesh":[],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit44484.2020.9174464","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2005.07801","pdf_url":"https://arxiv.org/pdf/2005.07801","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2005.07801","pdf_url":"https://arxiv.org/pdf/2005.07801","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9","score":0.6}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":20,"referenced_works":["https://openalex.org/W1494099594","https://openalex.org/W1818081266","https://openalex.org/W1996199671","https://openalex.org/W2000315374","https://openalex.org/W2019059781","https://openalex.org/W2043509032","https://openalex.org/W2075008459","https://openalex.org/W2102902005","https://openalex.org/W2111590999","https://openalex.org/W2290247654","https://openalex.org/W2524481422","https://openalex.org/W2900073520","https://openalex.org/W2913887346","https://openalex.org/W2972009131","https://openalex.org/W2991546740","https://openalex.org/W3102586875","https://openalex.org/W3105455791","https://openalex.org/W3105479371","https://openalex.org/W4300840296","https://openalex.org/W4301401949"],"related_works":["https://openalex.org/W4299532214","https://openalex.org/W3172957635","https://openalex.org/W2964314221","https://openalex.org/W2519898166","https://openalex.org/W2408489498","https://openalex.org/W2346500824","https://openalex.org/W2092070151","https://openalex.org/W2010333092","https://openalex.org/W1988771411","https://openalex.org/W1978042415"],"abstract_inverted_index":{"We":[0],"revisit":[1],"the":[2,49,95,98,102,119,133,137,165],"problem":[3],"of":[4,55,57,97,104,113,118,136,164,168],"broadcasting":[5],"on":[6],"d-ary":[7],"trees:":[8],"starting":[9],"from":[10],"a":[11,20,71],"Bernoulli(1/2)":[12],"random":[13,72],"variable":[14],"X":[15,44,51,169],"0":[18,47],"at":[19,60],"root":[21],"vertex,":[22],"each":[23],"vertex":[24],"forwards":[25],"its":[26],"value":[27],"across":[28],"binary":[29],"symmetric":[30],"channels":[31],"BSC":[32],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u03b4":[35],"to":[36,42,131],"d":[37],"descendants.":[38],"The":[39,111],"goal":[40],"is":[41,64,74,108,116,154],"reconstruct":[43],"given":[48],"vector":[50],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">Lh":[54,172],"values":[56],"all":[58],"variables":[59],"depth":[61],"h.":[62],"It":[63],"well":[65],"known":[66],"that":[67],"reconstruction":[68],"(better":[69],"than":[70],"guess)":[73],"possible":[75],"as":[76],"h":[77],"\u2192\u221e":[78],"if":[79,82],"and":[80,101],"only":[81],"\u03b4":[83,85,107,142,144],"<;":[84,143],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">c":[88,147],"(d).":[89],"In":[90],"this":[91],"paper,":[92],"we":[93,128],"study":[94],"behavior":[96],"mutual":[99],"information":[100],"probability":[103],"error":[105],"when":[106,141],"slightly":[109],"subcritical.":[110],"innovation":[112],"our":[114],"work":[115],"application":[117],"recently":[120],"introduced":[121],"\"less-noisy\"":[122],"channel":[123],"comparison":[124],"techniques.":[125],"For":[126],"example,":[127],"are":[129],"able":[130],"derive":[132],"positive":[134],"part":[135],"phase":[138],"transition":[139],"(reconstructability":[140],")":[148],"using":[149],"purely":[150],"information-theoretic":[151],"ideas.":[152],"This":[153],"in":[155],"contrast":[156],"with":[157],"previous":[158],"derivations,":[159],"which":[160],"explicitly":[161],"analyze":[162],"distribution":[163],"Hamming":[166],"weight":[167],"(a":[173],"so-called":[174],"Kesten-Stigum":[175],"bound).":[176]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3081465874","counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2025-01-02T00:46:16.345945","created_date":"2020-09-01"}