{"id":"https://openalex.org/W1909442347","doi":"https://doi.org/10.1109/isit.2015.7282882","title":"On the duality of additivity and tensorization","display_name":"On the duality of additivity and tensorization","publication_year":2015,"publication_date":"2015-06-01","ids":{"openalex":"https://openalex.org/W1909442347","doi":"https://doi.org/10.1109/isit.2015.7282882","mag":"1909442347"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2015.7282882","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2015.7282882","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1502.00827","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004602538","display_name":"Salman Beigi","orcid":"https://orcid.org/0000-0003-3588-4662"},"institutions":[{"id":"https://openalex.org/I4210146419","display_name":"Institute for Research in Fundamental Sciences","ror":"https://ror.org/04xreqs31","country_code":"IR","type":"facility","lineage":["https://openalex.org/I4210146419"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Salman Beigi","raw_affiliation_strings":["School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran","institution_ids":["https://openalex.org/I4210146419"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015573260","display_name":"Amin Gohari","orcid":"https://orcid.org/0000-0002-9667-7627"},"institutions":[{"id":"https://openalex.org/I4210146419","display_name":"Institute for Research in Fundamental Sciences","ror":"https://ror.org/04xreqs31","country_code":"IR","type":"facility","lineage":["https://openalex.org/I4210146419"]},{"id":"https://openalex.org/I133529467","display_name":"Sharif University of Technology","ror":"https://ror.org/024c2fq17","country_code":"IR","type":"education","lineage":["https://openalex.org/I133529467"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Amin Gohari","raw_affiliation_strings":["Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran","School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran","Department of Electrical Engineering, Sharif university of Technology, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]},{"raw_affiliation_string":"School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran","institution_ids":["https://openalex.org/I4210146419"]},{"raw_affiliation_string":"Department of Electrical Engineering, Sharif university of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5004602538"],"corresponding_institution_ids":["https://openalex.org/I4210146419"],"apc_list":null,"apc_paid":null,"fwci":2.0012,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.875698,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"2381","last_page":"2385"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":1.0,"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/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/T11321","display_name":"Error Correcting Code Techniques","score":0.9958000183105469,"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/additive-function","display_name":"Additive function","score":0.7663922309875488},{"id":"https://openalex.org/keywords/multipartite","display_name":"Multipartite","score":0.6399250030517578},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.609944224357605},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.5036987662315369},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.487605482339859},{"id":"https://openalex.org/keywords/correlation","display_name":"Correlation","score":0.4613829255104065},{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.46056801080703735},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.4426969587802887},{"id":"https://openalex.org/keywords/channel-code","display_name":"Channel code","score":0.43841370940208435},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4371924102306366},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.42289188504219055},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41358518600463867},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.4122537672519684},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3254721760749817},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3038942217826843},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2875387966632843},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19310802221298218},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12218952178955078},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.07309624552726746}],"concepts":[{"id":"https://openalex.org/C38803922","wikidata":"https://www.wikidata.org/wiki/Q95745348","display_name":"Additive function","level":2,"score":0.7663922309875488},{"id":"https://openalex.org/C166733315","wikidata":"https://www.wikidata.org/wiki/Q6934831","display_name":"Multipartite","level":4,"score":0.6399250030517578},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.609944224357605},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.5036987662315369},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.487605482339859},{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"score":0.4613829255104065},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.46056801080703735},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.4426969587802887},{"id":"https://openalex.org/C166366890","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Channel code","level":3,"score":0.43841370940208435},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4371924102306366},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42289188504219055},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41358518600463867},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.4122537672519684},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3254721760749817},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3038942217826843},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2875387966632843},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19310802221298218},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12218952178955078},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.07309624552726746},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/isit.2015.7282882","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2015.7282882","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1502.00827","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1502.00827","pdf_url":"https://arxiv.org/pdf/1502.00827","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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:1909442347","is_oa":true,"landing_page_url":"https://www.arxiv.org/pdf/1502.00827","pdf_url":null,"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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1502.00827","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1502.00827","pdf_url":null,"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":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1502.00827","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1502.00827","pdf_url":"https://arxiv.org/pdf/1502.00827","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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1909442347.pdf","grobid_xml":"https://content.openalex.org/works/W1909442347.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W277266992","https://openalex.org/W1494099594","https://openalex.org/W1549664537","https://openalex.org/W1590505944","https://openalex.org/W1665582821","https://openalex.org/W1966065707","https://openalex.org/W1995228946","https://openalex.org/W1995379058","https://openalex.org/W1996955268","https://openalex.org/W2003776291","https://openalex.org/W2010138343","https://openalex.org/W2018582985","https://openalex.org/W2045620446","https://openalex.org/W2070259813","https://openalex.org/W2089234673","https://openalex.org/W2093683948","https://openalex.org/W2107327484","https://openalex.org/W2130128605","https://openalex.org/W2137301158","https://openalex.org/W2153396718","https://openalex.org/W2166524562","https://openalex.org/W2170862660","https://openalex.org/W2248300191","https://openalex.org/W2259943731","https://openalex.org/W2555774312","https://openalex.org/W2963551101","https://openalex.org/W4300840296","https://openalex.org/W4302366875","https://openalex.org/W6690935716","https://openalex.org/W6692013815"],"related_works":["https://openalex.org/W2018582985","https://openalex.org/W2170862660","https://openalex.org/W2141432745","https://openalex.org/W2107327484","https://openalex.org/W1995228946","https://openalex.org/W1549664537","https://openalex.org/W2951807848","https://openalex.org/W1784107826","https://openalex.org/W2751986550","https://openalex.org/W2885150101","https://openalex.org/W2989767856","https://openalex.org/W2325785595","https://openalex.org/W2477751107","https://openalex.org/W3036023667","https://openalex.org/W3004301161","https://openalex.org/W1511045009","https://openalex.org/W3162038848","https://openalex.org/W2804898978","https://openalex.org/W3011849809","https://openalex.org/W3023432115"],"abstract_inverted_index":{"A":[0],"function":[1,34],"is":[2,35],"said":[3,36],"to":[4,9,37,93,113,126,162],"be":[5],"additive":[6,136],"if,":[7],"similar":[8,174],"mutual":[10],"information,":[11],"expands":[12],"by":[13],"a":[14,25,33,123,128],"factor":[15],"of":[16,24,55,72,99,149,153,171],"n,":[17],"when":[18,46],"evaluated":[19,47],"on":[20,48],"n":[21],"i.i.d.":[22,49],"repetitions":[23],"source":[26,80,156,178],"or":[27,66],"channel.":[28],"On":[29],"the":[30,39,88,102,115,131,147,150,154,163],"other":[31,169,177],"hand,":[32],"satisfy":[38],"tensorization":[40,116,132],"property":[41,133],"if":[42],"it":[43,161],"remains":[44],"unchanged":[45],"repetitions.":[50],"Additive":[51],"rate":[52,137,151],"regions":[53,65],"are":[54],"fundamental":[56],"importance":[57],"in":[58,78],"network":[59],"information":[60],"theory,":[61],"serving":[62],"as":[63,85,87],"capacity":[64],"upper":[67],"bounds":[68],"thereof.":[69],"Tensorizing":[70],"measures":[71,98,170],"correlation":[73,107,172],"have":[74,114],"also":[75],"found":[76],"applications":[77],"distributed":[79],"and":[81,105,159],"channel":[82],"coding":[83,157,179],"problems":[84],"well":[86],"distribution":[89],"simulation":[90],"problem.":[91],"Prior":[92],"our":[94],"work":[95],"only":[96],"two":[97],"correlation,":[100],"namely":[101],"hypercontractivity":[103,142],"ribbon":[104,143],"maximal":[106],"(and":[108],"their":[109],"derivatives),":[110],"were":[111],"known":[112],"property.":[117],"In":[118],"this":[119],"paper,":[120],"we":[121,167],"provide":[122],"general":[124],"framework":[125],"obtain":[127],"region":[129,152],"with":[130,173],"from":[134,146,176],"any":[135],"region.":[138],"We":[139],"observe":[140],"that":[141],"indeed":[144],"comes":[145],"dual":[148],"Gray-Wyner":[155],"problem,":[158],"generalize":[160],"multipartite":[164],"case.":[165],"Then":[166],"define":[168],"properties":[175],"problems.":[180]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}