{"id":"https://openalex.org/W2963368320","doi":"https://doi.org/10.1109/tit.2017.2664811","title":"Improving on the Cut-Set Bound via Geometric Analysis of Typical Sets","display_name":"Improving on the Cut-Set Bound via Geometric Analysis of Typical Sets","publication_year":2017,"publication_date":"2017-02-07","ids":{"openalex":"https://openalex.org/W2963368320","doi":"https://doi.org/10.1109/tit.2017.2664811","mag":"2963368320"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2017.2664811","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2664811","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/A5041915281","display_name":"Xiugang Wu","orcid":"https://orcid.org/0000-0002-8130-975X"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiugang Wu","raw_affiliation_strings":["Department of Electrical Engineering, Stanford University, Stanford, CA, USA"],"raw_orcid":"https://orcid.org/0000-0002-8130-975X","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Stanford University, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091789550","display_name":"Ayfer Ozgiur","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ayfer Ozgiur","raw_affiliation_strings":["Department of Electrical Engineering, Stanford University, Stanford, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Stanford University, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102212634","display_name":"Liang\u2010Liang Xie","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Liang-Liang Xie","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.3139,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.9046508,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"63","issue":"4","first_page":"2254","last_page":"2277"},"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":0.9986000061035156,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9690999984741211,"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/notation","display_name":"Notation","score":0.7284132242202759},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47157543897628784},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3820266127586365},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36175596714019775},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32647836208343506},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.18635794520378113}],"concepts":[{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.7284132242202759},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47157543897628784},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3820266127586365},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36175596714019775},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32647836208343506},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.18635794520378113}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2017.2664811","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2664811","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":[],"awards":[{"id":"https://openalex.org/G1739869781","display_name":null,"funder_award_id":"CCF-0939370","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4177445609","display_name":null,"funder_award_id":"CIF-1514538","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W950997499","https://openalex.org/W1494099594","https://openalex.org/W1549664537","https://openalex.org/W1660716358","https://openalex.org/W1971536606","https://openalex.org/W1980957909","https://openalex.org/W2000446566","https://openalex.org/W2005196269","https://openalex.org/W2005713623","https://openalex.org/W2040142717","https://openalex.org/W2051291905","https://openalex.org/W2081047977","https://openalex.org/W2087464967","https://openalex.org/W2089555817","https://openalex.org/W2090226360","https://openalex.org/W2098567664","https://openalex.org/W2109962983","https://openalex.org/W2110266514","https://openalex.org/W2132100261","https://openalex.org/W2141761557","https://openalex.org/W2146818257","https://openalex.org/W2154164662","https://openalex.org/W2155150064","https://openalex.org/W2162635854","https://openalex.org/W2167447263","https://openalex.org/W2254512934","https://openalex.org/W2478708596","https://openalex.org/W2509817571","https://openalex.org/W2575063269","https://openalex.org/W2597388719","https://openalex.org/W2963368320","https://openalex.org/W2963953407","https://openalex.org/W4243475088","https://openalex.org/W4300840296","https://openalex.org/W4302366875","https://openalex.org/W4322579326","https://openalex.org/W6696499209"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2504004674","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694"],"abstract_inverted_index":{"We":[0,93,135,253,432],"consider":[1,254],"the":[2,32,44,49,100,112,121,130,138,143,148,152,180,209,220,238,241,250,255,259,297,300,341,360,363,382,390,397,400,404],"discrete":[3],"memoryless":[4],"symmetric":[5,291],"primitive":[6],"relay":[7,36,45,242,301,364,383,401],"channel,":[8,365,402],"where,":[9],"a":[10,23,35,164,369],"source":[11],"<inline-formula":[12,25,37,58,66,73,86,153,181,212,221,228,260,267,274,281,310,323,331,348,373,412,424,435,443],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[13,26,38,59,67,74,87,154,182,213,222,229,261,268,275,282,311,324,332,349,374,413,425,436,444],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[14,27,39,60,68,75,88,155,183,214,223,230,262,269,276,283,312,325,333,350,375,414,426,437,445],"<tex-math":[15,28,40,61,69,76,89,156,184,215,224,231,263,270,277,284,313,326,334,351,376,415,427,438,446],"notation=\"LaTeX\">$X$":[16,90,264,278],"</tex-math></inline-formula>":[17,30,42,63,71,78,91,158,186,217,226,233,265,272,279,286,315,329,337,354,378,418,430,441,449],"wants":[18],"to":[19,22,48,141,175,244,247,305,367,386,389],"send":[20],"information":[21],"destination":[24,50],"notation=\"LaTeX\">$Y$":[29,70,232,271],"with":[31,163],"help":[33],"of":[34,56,102,132,151,194,240,249,299,362,399],"notation=\"LaTeX\">$Z$":[41,77,225,285],"and":[43,72,82,273,355,358,403],"can":[46],"communicate":[47],"via":[51],"an":[52,192,199],"error-free":[53],"digital":[54],"link":[55,234],"rate":[57,211,372],"notation=\"LaTeX\">$R_{0}$":[62,377],",":[64,330,419],"while":[65,420],"are":[79,106,288],"conditionally":[80],"independent":[81],"identically":[83],"distributed":[84],"given":[85],".":[92,316,431,450],"develop":[94],"two":[95],"new":[96,176],"upper":[97,127,394],"bounds":[98,128,295,308,395],"on":[99,129,137,296,396],"capacity":[101,131,239,298,361,385,398],"this":[103,170],"channel":[104,243,302,343,384],"that":[105,248,321,434],"tighter":[107,294,306],"than":[108],"existing":[109],"bounds,":[110,196],"including":[111],"celebrated":[113],"cut-set":[114,405],"bound.":[115,392],"Our":[116,293],"approach":[117,124],"significantly":[118],"deviates":[119],"from":[120],"standard":[122],"information-theoretic":[123],"for":[125,167,219,237,309,381],"proving":[126],"multi-user":[133],"channels.":[134,292],"build":[136],"blowing-up":[139],"lemma":[140],"analyze":[142],"probabilistic":[144],"geometric":[145],"relations":[146,173],"between":[147,179],"typical":[149],"sets":[150],"notation=\"LaTeX\">$n$":[157,185],"-letter":[159,187],"random":[160,188],"variables":[161,189],"associated":[162],"reliable":[165],"code":[166],"communicating":[168],"over":[169],"channel.":[171],"These":[172],"translate":[174,304],"entropy":[177],"inequalities":[178],"involved.":[190],"As":[191],"application":[193],"our":[195],"we":[197,319],"study":[198],"open":[200],"question":[201],"posed":[202],"by":[203],"(Cover,":[204],"1987),":[205],"namely,":[206],"what":[207],"is":[208,379],"minimum":[210],"notation=\"LaTeX\">$R_{0}^{*}$":[216,314],"needed":[218],"\u2013":[227,266,280],"in":[235,407],"order":[236],"be":[245,387],"equal":[246,388],"broadcast":[251,342,391],"cut.":[252],"special":[256],"case":[257],"when":[258,322],"links":[287],"both":[289],"binary":[290],"immediately":[303],"lower":[307],"More":[317],"interestingly,":[318],"show":[320],"notation=\"LaTeX\">$p\\to":[327,352,447],"1/2$":[328,353,448],"notation=\"LaTeX\">$R_{0}^{*}\\geq":[335],"0.1803$":[336],";":[338],"even":[339],"though":[340],"becomes":[344],"completely":[345],"noisy":[346],"as":[347,442],"its":[356],"capacity,":[357],"therefore":[359],"goes":[366],"zero,":[368],"strictly":[370],"positive":[371],"required":[380],"Existing":[393],"bound":[406],"particular,":[408],"would":[409],"rather":[410],"imply":[411],"notation=\"LaTeX\">$R_{0}^{*}\\to":[416,428,439],"0$":[417],"achievability":[421],"schemes":[422],"require":[423],"1$":[429,440],"conjecture":[433]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":3}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
