{"id":"https://openalex.org/W1993051741","doi":"https://doi.org/10.1109/itw.2012.6404673","title":"Compact representation of polymatroid axioms for random variables with conditional independencies","display_name":"Compact representation of polymatroid axioms for random variables with conditional independencies","publication_year":2012,"publication_date":"2012-09-01","ids":{"openalex":"https://openalex.org/W1993051741","doi":"https://doi.org/10.1109/itw.2012.6404673","mag":"1993051741"},"language":"en","primary_location":{"id":"doi:10.1109/itw.2012.6404673","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2012.6404673","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Information Theory Workshop","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/A5052643871","display_name":"Satyajit Thakor","orcid":"https://orcid.org/0000-0001-9527-0975"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Satyajit Thakor","raw_affiliation_strings":["Institute of Network Coding, The Chinese University of Hong Kong, Shatin, Hong Kong","[Institute of Network Coding, The Chinese University of Hong Kong, Shatin, Hong Kong]"],"affiliations":[{"raw_affiliation_string":"Institute of Network Coding, The Chinese University of Hong Kong, Shatin, Hong Kong","institution_ids":["https://openalex.org/I177725633"]},{"raw_affiliation_string":"[Institute of Network Coding, The Chinese University of Hong Kong, Shatin, Hong Kong]","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072485708","display_name":"Alex Grant","orcid":"https://orcid.org/0000-0002-5345-7771"},"institutions":[{"id":"https://openalex.org/I170239107","display_name":"University of South Australia","ror":"https://ror.org/01p93h210","country_code":"AU","type":"education","lineage":["https://openalex.org/I170239107"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Alex Grant","raw_affiliation_strings":["Institute for Telecommunications Research, University of South Australia","Institute for Telecommunications Research, University of South Australia, Australia#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute for Telecommunications Research, University of South Australia","institution_ids":["https://openalex.org/I170239107"]},{"raw_affiliation_string":"Institute for Telecommunications Research, University of South Australia, Australia#TAB#","institution_ids":["https://openalex.org/I170239107"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010336848","display_name":"Terence Chan","orcid":"https://orcid.org/0000-0002-6550-7203"},"institutions":[{"id":"https://openalex.org/I170239107","display_name":"University of South Australia","ror":"https://ror.org/01p93h210","country_code":"AU","type":"education","lineage":["https://openalex.org/I170239107"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Terence Chan","raw_affiliation_strings":["Institute for Telecommunications Research, University of South Australia","Institute for Telecommunications Research, University of South Australia, Australia#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute for Telecommunications Research, University of South Australia","institution_ids":["https://openalex.org/I170239107"]},{"raw_affiliation_string":"Institute for Telecommunications Research, University of South Australia, Australia#TAB#","institution_ids":["https://openalex.org/I170239107"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5052643871"],"corresponding_institution_ids":["https://openalex.org/I177725633"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07455234,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"267","last_page":"271"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10991","display_name":"Game Theory and Voting Systems","score":0.9686999917030334,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9652000069618225,"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/axiom","display_name":"Axiom","score":0.8805134892463684},{"id":"https://openalex.org/keywords/conditional-independence","display_name":"Conditional independence","score":0.6934621930122375},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.681330144405365},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.6670828461647034},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.6605755090713501},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.5724802613258362},{"id":"https://openalex.org/keywords/axiomatic-system","display_name":"Axiomatic system","score":0.4857962131500244},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.44477578997612},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4150409996509552},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34767425060272217},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06258541345596313}],"concepts":[{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.8805134892463684},{"id":"https://openalex.org/C79772020","wikidata":"https://www.wikidata.org/wiki/Q5159264","display_name":"Conditional independence","level":2,"score":0.6934621930122375},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.681330144405365},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.6670828461647034},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.6605755090713501},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.5724802613258362},{"id":"https://openalex.org/C125773388","wikidata":"https://www.wikidata.org/wiki/Q792542","display_name":"Axiomatic system","level":3,"score":0.4857962131500244},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.44477578997612},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4150409996509552},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34767425060272217},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06258541345596313},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/itw.2012.6404673","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2012.6404673","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Information Theory Workshop","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6200000047683716,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320315885","display_name":"Australian Government","ror":"https://ror.org/0314h5y94"},{"id":"https://openalex.org/F4320321019","display_name":"University Grants Committee","ror":"https://ror.org/00djwmt25"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W30853191","https://openalex.org/W2097509373","https://openalex.org/W2099755158","https://openalex.org/W2114325434","https://openalex.org/W2159080219","https://openalex.org/W2165822428","https://openalex.org/W4300079393","https://openalex.org/W6601246327"],"related_works":["https://openalex.org/W2962692142","https://openalex.org/W1771651560","https://openalex.org/W4300725361","https://openalex.org/W2386897142","https://openalex.org/W1605727975","https://openalex.org/W4232127999","https://openalex.org/W1640180556","https://openalex.org/W329313523","https://openalex.org/W2262032878","https://openalex.org/W2116374711"],"abstract_inverted_index":{"The":[0],"polymatroid":[1,42,98],"axioms":[2,30,43,58,99],"are":[3,31,44,108,118,130],"dominantly":[4],"used":[5,59],"to":[6,34,47,56,81],"study":[7],"the":[8,20,25,36,41,49,57,70,77,94,133],"capacity":[9,26],"limits":[10],"of":[11,19,38,72,79,93,97],"various":[12],"communication":[13,21],"systems.":[14],"In":[15,85,110],"fact":[16],"for":[17,23,52],"most":[18],"systems,":[22],"which":[24,117,129],"is":[27,66],"known,":[28],"these":[29],"solely":[32],"required":[33],"obtain":[35],"characterization":[37,92],"capacity.":[39],"Moreover,":[40],"stronger":[45],"tools":[46],"tackle":[48],"implication":[50],"problem":[51],"conditional":[53,102],"independencies":[54],"compared":[55],"in":[60],"Bayesian":[61],"networks.":[62],"However,":[63],"their":[64],"use":[65],"prohibitively":[67],"complex":[68],"as":[69],"number":[71,78],"random":[73],"variables":[74],"increases":[75,83],"since":[76],"inequalities":[80,128],"consider":[82],"exponentially.":[84],"this":[86],"paper":[87],"we":[88,112],"give":[89],"a":[90],"compact":[91],"minimal":[95],"set":[96],"when":[100],"arbitrary":[101],"independence":[103],"and":[104],"functional":[105],"dependence":[106],"constraints":[107],"given.":[109],"particular,":[111],"identify":[113,125],"those":[114,126],"elemental":[115,127],"equalities":[116],"implied":[119],"by":[120],"given":[121,132],"constraints.":[122,134],"We":[123],"also":[124],"redundant":[131]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}