{"id":"https://openalex.org/W2157316805","doi":"https://doi.org/10.1109/allerton.2010.5706995","title":"The common information of N dependent random variables","display_name":"The common information of N dependent random variables","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W2157316805","doi":"https://doi.org/10.1109/allerton.2010.5706995","mag":"2157316805"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2010.5706995","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2010.5706995","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},"type":"preprint","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/A5100431624","display_name":"Wei Liu","orcid":"https://orcid.org/0000-0001-5180-6563"},"institutions":[{"id":"https://openalex.org/I70983195","display_name":"Syracuse University","ror":"https://ror.org/025r5qe02","country_code":"US","type":"education","lineage":["https://openalex.org/I70983195"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Wei Liu","raw_affiliation_strings":["Department of EECS, Syracuse University, USA"],"affiliations":[{"raw_affiliation_string":"Department of EECS, Syracuse University, USA","institution_ids":["https://openalex.org/I70983195"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5104280926","display_name":"Ge Xu","orcid":null},"institutions":[{"id":"https://openalex.org/I70983195","display_name":"Syracuse University","ror":"https://ror.org/025r5qe02","country_code":"US","type":"education","lineage":["https://openalex.org/I70983195"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ge Xu","raw_affiliation_strings":["Department of EECS, Syracuse University, USA"],"affiliations":[{"raw_affiliation_string":"Department of EECS, Syracuse University, USA","institution_ids":["https://openalex.org/I70983195"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100458392","display_name":"Biao Chen","orcid":"https://orcid.org/0000-0002-3559-2515"},"institutions":[{"id":"https://openalex.org/I70983195","display_name":"Syracuse University","ror":"https://ror.org/025r5qe02","country_code":"US","type":"education","lineage":["https://openalex.org/I70983195"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Biao Chen","raw_affiliation_strings":["Department of EECS, Syracuse University, USA"],"affiliations":[{"raw_affiliation_string":"Department of EECS, Syracuse University, USA","institution_ids":["https://openalex.org/I70983195"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100431624"],"corresponding_institution_ids":["https://openalex.org/I70983195"],"apc_list":null,"apc_paid":null,"fwci":2.6469,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.90691676,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"836","last_page":"843"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9995999932289124,"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":0.9995999932289124,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9901999831199646,"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":0.9771999716758728,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.7277648448944092},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.6668685078620911},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5673545002937317},{"id":"https://openalex.org/keywords/sum-of-normally-distributed-random-variables","display_name":"Sum of normally distributed random variables","score":0.5574541091918945},{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.5037218928337097},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5008091926574707},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.4828839600086212},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.4773195683956146},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.44844183325767517},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.433050274848938},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3745418190956116},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3204396963119507},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.30274608731269836},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18107733130455017}],"concepts":[{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.7277648448944092},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.6668685078620911},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5673545002937317},{"id":"https://openalex.org/C182514268","wikidata":"https://www.wikidata.org/wiki/Q7636889","display_name":"Sum of normally distributed random variables","level":4,"score":0.5574541091918945},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.5037218928337097},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5008091926574707},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.4828839600086212},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.4773195683956146},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.44844183325767517},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.433050274848938},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3745418190956116},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3204396963119507},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.30274608731269836},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18107733130455017},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/allerton.2010.5706995","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2010.5706995","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},{"id":"pmh:oai:surface.syr.edu:eecs_techreports-1044","is_oa":false,"landing_page_url":"https://surface.syr.edu/eecs_techreports/49","pdf_url":null,"source":{"id":"https://openalex.org/S4306401700","display_name":"Syracuse University Libraries (Syracuse University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70983195","host_organization_name":"Syracuse University","host_organization_lineage":["https://openalex.org/I70983195"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electrical Engineering and Computer Science - Technical Reports","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.751.6559","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.751.6559","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1010.3613.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.868.2817","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.868.2817","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://surface.syr.edu/cgi/viewcontent.cgi?article%3D1044%26context%3Deecs_techreports","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W108696806","https://openalex.org/W1549664537","https://openalex.org/W1565516259","https://openalex.org/W1964435016","https://openalex.org/W1966065707","https://openalex.org/W1972778492","https://openalex.org/W1995875735","https://openalex.org/W2048505587","https://openalex.org/W2099111195","https://openalex.org/W2106833918","https://openalex.org/W2108777864","https://openalex.org/W2141432745","https://openalex.org/W2153396718","https://openalex.org/W2163597393","https://openalex.org/W2170862660","https://openalex.org/W2952990052","https://openalex.org/W4300079393","https://openalex.org/W6604335653","https://openalex.org/W6641302132"],"related_works":["https://openalex.org/W2066502241","https://openalex.org/W3212925274","https://openalex.org/W3124771927","https://openalex.org/W4240383795","https://openalex.org/W2016690166","https://openalex.org/W4225940264","https://openalex.org/W4245457074","https://openalex.org/W2750125254","https://openalex.org/W2026127188","https://openalex.org/W2111510771"],"abstract_inverted_index":{"This":[0],"paper":[1],"generalizes":[2],"Wyner's":[3,76,105],"definition":[4],"of":[5,8,11,16,34,41,48,75,86,104,108],"common":[6,32,77,88,98,106],"information":[7,33,78,93,107],"a":[9,46,72],"pair":[10],"random":[12,18,36,43,110],"variables":[13,37,111],"to":[14,39,62,83],"that":[15,24,40,53],"N":[17,42,63,67,109],"variables.":[19,44],"We":[20,69],"prove":[21],"coding":[22,57],"theorems":[23],"show":[25,52],"the":[26,31,54,87,102],"same":[27],"operational":[28],"meanings":[29],"for":[30],"two":[35],"generalize":[38],"As":[45],"byproduct":[47],"our":[49],"proof,":[50],"we":[51],"Gray-Wyner":[55],"source":[56,64],"network":[58],"can":[59],"be":[60],"generalized":[61],"sequences":[65],"with":[66],"decoders.":[68],"also":[70,113],"establish":[71],"monotone":[73],"property":[74],"which":[79],"is":[80],"in":[81],"contrast":[82],"other":[84],"notions":[85],"information,":[89],"specifically":[90],"Shannon's":[91],"mutual":[92],"and":[94,96],"G\u00e1cs":[95],"K\u00f6rner's":[97],"randomness.":[99],"Examples":[100],"about":[101],"computation":[103],"are":[112],"given.":[114]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
