{"id":"https://openalex.org/W2509297719","doi":"https://doi.org/10.1109/isit.2016.7541772","title":"Orbit-entropy cones and extremal pairwise orbit-entropy inequalities","display_name":"Orbit-entropy cones and extremal pairwise orbit-entropy inequalities","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2509297719","doi":"https://doi.org/10.1109/isit.2016.7541772","mag":"2509297719"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2016.7541772","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2016.7541772","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-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/A5100450217","display_name":"Jun Chen","orcid":"https://orcid.org/0000-0002-8084-9332"},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"education","lineage":["https://openalex.org/I98251732"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Jun Chen","raw_affiliation_strings":["McMaster University, Hamilton, ON L8S 4L8, Canada","McMaster University, Hamilton, ON, Canada"],"affiliations":[{"raw_affiliation_string":"McMaster University, Hamilton, ON L8S 4L8, Canada","institution_ids":["https://openalex.org/I98251732"]},{"raw_affiliation_string":"McMaster University, Hamilton, ON, Canada","institution_ids":["https://openalex.org/I98251732"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014654010","display_name":"Amir Salimi","orcid":null},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Amir Salimi","raw_affiliation_strings":["Texas A&amp;M University, College Station, 77843, USA","Texas A&M University, College Station, TX, USA"],"affiliations":[{"raw_affiliation_string":"Texas A&amp;M University, College Station, 77843, USA","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Texas A&M University, College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006265534","display_name":"Tie Liu","orcid":"https://orcid.org/0000-0002-6412-2432"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tie Liu","raw_affiliation_strings":["Texas A&amp;M University, College Station, 77843, USA","Texas A&M University, College Station, TX, USA"],"affiliations":[{"raw_affiliation_string":"Texas A&amp;M University, College Station, 77843, USA","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Texas A&M University, College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100675045","display_name":"Chao Tian","orcid":"https://orcid.org/0000-0001-8752-6141"},"institutions":[{"id":"https://openalex.org/I2802706902","display_name":"Knoxville College","ror":"https://ror.org/02bxrp522","country_code":"US","type":"education","lineage":["https://openalex.org/I2802706902"]},{"id":"https://openalex.org/I75027704","display_name":"University of Tennessee at Knoxville","ror":"https://ror.org/020f3ap87","country_code":"US","type":"education","lineage":["https://openalex.org/I75027704"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chao Tian","raw_affiliation_strings":["The University of Tennessee Knoxville, TN 37996, USA","The University of Tennessee Knoxville, Knoxville, TN, USA"],"affiliations":[{"raw_affiliation_string":"The University of Tennessee Knoxville, TN 37996, USA","institution_ids":["https://openalex.org/I75027704"]},{"raw_affiliation_string":"The University of Tennessee Knoxville, Knoxville, TN, USA","institution_ids":["https://openalex.org/I2802706902","https://openalex.org/I75027704"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100450217"],"corresponding_institution_ids":["https://openalex.org/I98251732"],"apc_list":null,"apc_paid":null,"fwci":2.3051,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.8737162,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"2614","last_page":"2618"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9891999959945679,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11476","display_name":"Graph theory and applications","score":0.9891999959945679,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10096","display_name":"Metal-Organic Frameworks: Synthesis and Applications","score":0.9725000262260437,"subfield":{"id":"https://openalex.org/subfields/1604","display_name":"Inorganic Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9668999910354614,"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/pairwise-comparison","display_name":"Pairwise comparison","score":0.6644025444984436},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5755253434181213},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5507371425628662},{"id":"https://openalex.org/keywords/maximum-entropy-probability-distribution","display_name":"Maximum entropy probability distribution","score":0.5055062770843506},{"id":"https://openalex.org/keywords/orbit","display_name":"Orbit (dynamics)","score":0.48482123017311096},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.42144161462783813},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3778657019138336},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3389948010444641},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.3318604826927185},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11349663138389587},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09130427241325378}],"concepts":[{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.6644025444984436},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5755253434181213},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5507371425628662},{"id":"https://openalex.org/C60507348","wikidata":"https://www.wikidata.org/wiki/Q6795892","display_name":"Maximum entropy probability distribution","level":3,"score":0.5055062770843506},{"id":"https://openalex.org/C196644772","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Orbit (dynamics)","level":2,"score":0.48482123017311096},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.42144161462783813},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3778657019138336},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3389948010444641},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.3318604826927185},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11349663138389587},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09130427241325378},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2016.7541772","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2016.7541772","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W108696806","https://openalex.org/W1014863066","https://openalex.org/W1495145358","https://openalex.org/W1609953057","https://openalex.org/W1962788253","https://openalex.org/W1969116803","https://openalex.org/W2035732803","https://openalex.org/W2037413426","https://openalex.org/W2082993575","https://openalex.org/W2101526130","https://openalex.org/W2105185344","https://openalex.org/W2113940092","https://openalex.org/W2147681281","https://openalex.org/W2165440928","https://openalex.org/W3102739603","https://openalex.org/W3105115639","https://openalex.org/W4230830692","https://openalex.org/W4300079393"],"related_works":["https://openalex.org/W2034921015","https://openalex.org/W3021846434","https://openalex.org/W2064875109","https://openalex.org/W59993211","https://openalex.org/W2889261288","https://openalex.org/W2003870624","https://openalex.org/W4385752617","https://openalex.org/W2068679119","https://openalex.org/W2970690932","https://openalex.org/W3041490575"],"abstract_inverted_index":{"The":[0],"notion":[1],"of":[2,14,24],"orbit-entropy":[3,8,64],"cone":[4,9],"is":[5,11,21,33,83],"introduced.":[6],"Specifically,":[7],"equation":[10,15,20],"the":[12,22,62,72,77],"projection":[13],"induced":[16],"by":[17,71],"G,":[18],"where":[19],"closure":[23],"entropy":[25],"region":[26],"for":[27,86,92],"n":[28,59],"random":[29],"variables":[30],"and":[31,51,90],"G":[32],"a":[34],"permutation":[35],"group":[36,43,53],"over":[37],"{0;":[38],"1;...;":[39],"n-1}.":[40],"For":[41],"symmetric":[42,88],"S":[44],"<sub":[45,55],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[46,56],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sub>":[47,57],"(with":[48,58],"arbitrary":[49],"n)":[50],"cyclic":[52,93],"C":[54],"\u2264":[60],"5),":[61],"associated":[63],"cones":[65],"are":[66],"shown":[67],"to":[68],"be":[69],"characterized":[70],"Shannon":[73],"type":[74],"inequalities.":[75],"Moreover,":[76],"extremal":[78],"pairwise":[79],"relationship":[80],"between":[81],"orbit-entropies":[82],"determined":[84],"completely":[85],"partitioned":[87],"groups":[89],"partially":[91],"groups.":[94]},"counts_by_year":[{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2}],"updated_date":"2026-03-21T06:30:42.041108","created_date":"2025-10-10T00:00:00"}
