{"id":"https://openalex.org/W1507262201","doi":"https://doi.org/10.1109/tit.2016.2601598","title":"Entropy Region and Convolution","display_name":"Entropy Region and Convolution","publication_year":2016,"publication_date":"2016-08-19","ids":{"openalex":"https://openalex.org/W1507262201","doi":"https://doi.org/10.1109/tit.2016.2601598","mag":"1507262201"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2016.2601598","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2016.2601598","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","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://library.utia.cas.cz/separaty/2016/MTR/matus-0465564.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045494632","display_name":"Franti\u0161ek Mat\u00fa\u0161","orcid":"https://orcid.org/0000-0003-3113-9243"},"institutions":[{"id":"https://openalex.org/I4210119419","display_name":"Czech Academy of Sciences, Institute of Information Theory and Automation","ror":"https://ror.org/03h1hsz49","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210119419"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Frantisek Matus","raw_affiliation_strings":["Academy of Sciences of the Czech Republic, Institute of Information Theory and Automation, Prague, Czech Republic"],"raw_orcid":"https://orcid.org/0000-0003-3113-9243","affiliations":[{"raw_affiliation_string":"Academy of Sciences of the Czech Republic, Institute of Information Theory and Automation, Prague, Czech Republic","institution_ids":["https://openalex.org/I4210119419"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090277124","display_name":"L\u00e1szl\u00f3 Csirmaz","orcid":"https://orcid.org/0000-0001-7530-8307"},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]},{"id":"https://openalex.org/I132735039","display_name":"University of Debrecen","ror":"https://ror.org/02xf66n48","country_code":"HU","type":"education","lineage":["https://openalex.org/I132735039"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Laszlo Csirmaz","raw_affiliation_strings":["Central European University, Budapest, Hungary","Renyi Institute of Mathematics, Budapest, Hungary","University of Debrecen, Debrecen, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Central European University, Budapest, Hungary","institution_ids":[]},{"raw_affiliation_string":"Renyi Institute of Mathematics, Budapest, Hungary","institution_ids":["https://openalex.org/I127817813"]},{"raw_affiliation_string":"University of Debrecen, Debrecen, Hungary","institution_ids":["https://openalex.org/I132735039"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1464,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.56141768,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"62","issue":"11","first_page":"6007","last_page":"6018"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9969000220298767,"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/mathematics","display_name":"Mathematics","score":0.6430832743644714},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.603183388710022},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5965244770050049},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.4677548408508301},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.4188677668571472},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.41276776790618896},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19656670093536377},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15222176909446716},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14603334665298462},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09398752450942993},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08222648501396179}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6430832743644714},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.603183388710022},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5965244770050049},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.4677548408508301},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.4188677668571472},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41276776790618896},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19656670093536377},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15222176909446716},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14603334665298462},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09398752450942993},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08222648501396179},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/tit.2016.2601598","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2016.2601598","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"},{"id":"pmh:oai:real.mtak.hu:69937","is_oa":false,"landing_page_url":"http://real.mtak.hu/69937/1/1310.5957v1.pdf","pdf_url":"http://real.mtak.hu/69937/1/1310.5957v1.pdf","source":{"id":"https://openalex.org/S4306400081","display_name":"Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210140733","host_organization_name":"Library and Information Centre of the Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I4210140733"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:asep.lib.cas.cz:CavUnEpca/0465564","is_oa":true,"landing_page_url":"http://hdl.handle.net/11104/0265403","pdf_url":"http://library.utia.cas.cz/separaty/2016/MTR/matus-0465564.pdf","source":{"id":"https://openalex.org/S7407055266","display_name":"ASEP","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"mag:1507262201","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1310.5957","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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.1310.5957","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1310.5957","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:asep.lib.cas.cz:CavUnEpca/0465564","is_oa":true,"landing_page_url":"http://hdl.handle.net/11104/0265403","pdf_url":"http://library.utia.cas.cz/separaty/2016/MTR/matus-0465564.pdf","source":{"id":"https://openalex.org/S7407055266","display_name":"ASEP","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2268161310","display_name":"Conditional independence structures: algebraic and geometric methods","funder_award_id":"GA13-20012S","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"},{"id":"https://openalex.org/G5106337722","display_name":null,"funder_award_id":"-2012-0001","funder_id":"https://openalex.org/F4320322192","funder_display_name":"Magyar Tudom\u00e1nyos Akad\u00e9mia"}],"funders":[{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"},{"id":"https://openalex.org/F4320322192","display_name":"Magyar Tudom\u00e1nyos Akad\u00e9mia","ror":"https://ror.org/02ks8qq67"},{"id":"https://openalex.org/F4320322482","display_name":"Akademie V\u011bd \u010cesk\u00e9 Republiky","ror":"https://ror.org/053avzc18"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1507262201.pdf","grobid_xml":"https://content.openalex.org/works/W1507262201.grobid-xml"},"referenced_works_count":52,"referenced_works":["https://openalex.org/W81860024","https://openalex.org/W579169482","https://openalex.org/W1000174823","https://openalex.org/W1498671329","https://openalex.org/W1509869316","https://openalex.org/W1515040589","https://openalex.org/W1549664537","https://openalex.org/W1563286165","https://openalex.org/W1588284605","https://openalex.org/W1604572656","https://openalex.org/W1672833098","https://openalex.org/W1970704552","https://openalex.org/W1977678497","https://openalex.org/W1981481124","https://openalex.org/W2000680242","https://openalex.org/W2005903683","https://openalex.org/W2015707621","https://openalex.org/W2020804212","https://openalex.org/W2028511489","https://openalex.org/W2037411756","https://openalex.org/W2056466085","https://openalex.org/W2062154999","https://openalex.org/W2108851689","https://openalex.org/W2113940092","https://openalex.org/W2127875443","https://openalex.org/W2130864742","https://openalex.org/W2131304595","https://openalex.org/W2132219316","https://openalex.org/W2138753678","https://openalex.org/W2139218388","https://openalex.org/W2140678653","https://openalex.org/W2143203964","https://openalex.org/W2144135849","https://openalex.org/W2147681281","https://openalex.org/W2151919492","https://openalex.org/W2161024633","https://openalex.org/W2162714897","https://openalex.org/W2171547597","https://openalex.org/W2313526252","https://openalex.org/W2326256422","https://openalex.org/W2619991944","https://openalex.org/W2950039065","https://openalex.org/W2962861666","https://openalex.org/W2963617633","https://openalex.org/W2983049021","https://openalex.org/W3037673695","https://openalex.org/W4247719530","https://openalex.org/W4249667877","https://openalex.org/W4302366875","https://openalex.org/W6623142227","https://openalex.org/W6636908886","https://openalex.org/W6736694442"],"related_works":["https://openalex.org/W2019368591","https://openalex.org/W2080442845","https://openalex.org/W1968021238","https://openalex.org/W1994778354","https://openalex.org/W2559990214","https://openalex.org/W3102739603","https://openalex.org/W2608546004","https://openalex.org/W2008835467","https://openalex.org/W2146635448","https://openalex.org/W1991443212","https://openalex.org/W179022802","https://openalex.org/W1992146538","https://openalex.org/W1492149833","https://openalex.org/W2487284161","https://openalex.org/W2074694865","https://openalex.org/W1988068576","https://openalex.org/W2950631683","https://openalex.org/W3158549335","https://openalex.org/W2997314032","https://openalex.org/W2066688740"],"abstract_inverted_index":{"The":[0,30,53,103],"entropy":[1,62,101],"region":[2,34,79],"is":[3,19,35,70,111],"constructed":[4,80],"from":[5,81],"vectors":[6],"of":[7,14,24,32,41,56,65,84,95,99],"random":[8,85],"variables":[9],"by":[10,22,28],"collecting":[11],"Shannon":[12],"entropies":[13],"all":[15],"subvectors.":[16],"Its":[17],"shape":[18],"studied":[20],"here":[21],"means":[23],"polymatroidal":[25],"constructions,":[26],"notably":[27],"convolution.":[29],"closure":[31],"the":[33,38,47,50,57,61,66,78,100,107],"decomposed":[36],"into":[37],"direct":[39],"sum":[40],"tight":[42,51],"and":[43,75,88],"modular":[44],"parts,":[45],"reducing":[46],"study":[48],"to":[49,60,77,92],"part.":[52],"relative":[54],"interior":[55],"reduction":[58],"belongs":[59],"region.":[63,102],"Behavior":[64],"decomposition":[67],"under":[68],"self-adhesivity":[69],"clarified.":[71],"Results":[72],"are":[73],"specialized":[74],"extended":[76],"four":[82],"tuples":[83],"variables.":[86],"This":[87],"computer":[89],"experiments":[90],"help":[91],"visualize":[93],"approximations":[94],"a":[96],"symmetrized":[97],"part":[98],"four-atom":[104],"conjecture":[105],"on":[106],"minimal":[108],"Ingleton":[109],"score":[110],"refuted.":[112]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2025-10-10T00:00:00"}
