{"id":"https://openalex.org/W2741290151","doi":"https://doi.org/10.1109/tit.2017.2731963","title":"Cut-Set Bound is Loose for Gaussian Relay Networks","display_name":"Cut-Set Bound is Loose for Gaussian Relay Networks","publication_year":2017,"publication_date":"2017-07-26","ids":{"openalex":"https://openalex.org/W2741290151","doi":"https://doi.org/10.1109/tit.2017.2731963","mag":"2741290151"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2017.2731963","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2731963","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":"last","author":{"id":"https://openalex.org/A5003322209","display_name":"Ayfer \u00d6zg\u00fcr","orcid":"https://orcid.org/0000-0002-4455-4692"},"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 Ozgur","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"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":2.3139,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.90016996,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"64","issue":"2","first_page":"1023","last_page":"1037"},"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":0.9997000098228455,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9908999800682068,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.8020625710487366},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.7041901350021362},{"id":"https://openalex.org/keywords/relay","display_name":"Relay","score":0.6996836066246033},{"id":"https://openalex.org/keywords/relay-channel","display_name":"Relay channel","score":0.6157588958740234},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5467143058776855},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.5193346738815308},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4796048402786255},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.47582319378852844},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4626712501049042},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4415142834186554},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.4272114038467407},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4236089289188385},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.41672688722610474},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4035184383392334},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2925506830215454},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.20726251602172852},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15759310126304626},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10613644123077393}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.8020625710487366},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.7041901350021362},{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.6996836066246033},{"id":"https://openalex.org/C46257984","wikidata":"https://www.wikidata.org/wiki/Q7310895","display_name":"Relay channel","level":4,"score":0.6157588958740234},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5467143058776855},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.5193346738815308},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4796048402786255},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.47582319378852844},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4626712501049042},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4415142834186554},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.4272114038467407},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4236089289188385},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.41672688722610474},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4035184383392334},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2925506830215454},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.20726251602172852},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15759310126304626},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10613644123077393},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2017.2731963","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2731963","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/G3587496378","display_name":null,"funder_award_id":"CIF-1704624","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":39,"referenced_works":["https://openalex.org/W950997499","https://openalex.org/W1644323187","https://openalex.org/W1660716358","https://openalex.org/W1971536606","https://openalex.org/W1998123258","https://openalex.org/W2003776291","https://openalex.org/W2005196269","https://openalex.org/W2005713623","https://openalex.org/W2012924849","https://openalex.org/W2021182061","https://openalex.org/W2037983414","https://openalex.org/W2040142717","https://openalex.org/W2054405836","https://openalex.org/W2069554030","https://openalex.org/W2085465263","https://openalex.org/W2089555817","https://openalex.org/W2090226360","https://openalex.org/W2091036569","https://openalex.org/W2097854052","https://openalex.org/W2098567664","https://openalex.org/W2109962983","https://openalex.org/W2132100261","https://openalex.org/W2141761557","https://openalex.org/W2146818257","https://openalex.org/W2154164662","https://openalex.org/W2167447263","https://openalex.org/W2239510717","https://openalex.org/W2478708596","https://openalex.org/W2509817571","https://openalex.org/W2548811864","https://openalex.org/W2951458967","https://openalex.org/W2962956487","https://openalex.org/W2962970001","https://openalex.org/W2963368320","https://openalex.org/W2963953407","https://openalex.org/W4243475088","https://openalex.org/W4297970674","https://openalex.org/W4300840296","https://openalex.org/W6696499209"],"related_works":["https://openalex.org/W2608897767","https://openalex.org/W2963768675","https://openalex.org/W2153829573","https://openalex.org/W2099376255","https://openalex.org/W2004047158","https://openalex.org/W2993015344","https://openalex.org/W2119153672","https://openalex.org/W1559320887","https://openalex.org/W2374704553","https://openalex.org/W2082611414"],"abstract_inverted_index":{"The":[0],"cut-set":[1,47,126],"bound":[2,18,32,127,140],"developed":[3],"by":[4,101],"Cover":[5],"and":[6,103,135],"El":[7],"Gamal":[8],"in":[9,105,128],"1979":[10],"has":[11],"since":[12],"remained":[13],"the":[14,20,23,34,37,46,64,112,125,129,142],"best":[15],"known":[16],"upper":[17,31],"on":[19,33,141],"capacity":[21,35,114],"of":[22,36,131],"Gaussian":[24,38,52,117],"relay":[25,40,118],"channel.":[26,77],"We":[27,78],"develop":[28],"a":[29,70,97,138],"new":[30,85],"primitive":[39],"channel,":[41],"which":[42,120],"is":[43],"tighter":[44],"than":[45],"bound.":[48],"Our":[49],"proof":[50],"uses":[51],"measure":[53],"concentration":[54],"to":[55,124,137],"establish":[56],"geometric":[57,82],"relations,":[58],"satisfied":[59],"with":[60,69,92,96],"high":[61],"probability,":[62],"between":[63],"n-letter":[65],"random":[66],"variables":[67],"associated":[68],"reliable":[71],"code":[72],"for":[73,116],"communicating":[74],"over":[75],"this":[76],"then":[79],"translate":[80],"these":[81],"relations":[83],"into":[84],"information":[86],"inequalities":[87],"that":[88,111],"cannot":[89],"be":[90],"obtained":[91],"classical":[93],"methods.":[94],"Combined":[95],"tensorization":[98],"argument":[99],"proposed":[100],"Courtade":[102],"Ozgur":[104],"2015,":[106],"our":[107],"result":[108],"also":[109],"implies":[110],"current":[113],"approximations":[115],"networks,":[119],"have":[121],"linear":[122],"gap":[123],"number":[130],"nodes,":[132],"are":[133],"order-optimal":[134],"lead":[136],"lower":[139],"pre-constant.":[143]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
