{"id":"https://openalex.org/W2668552504","doi":"https://doi.org/10.1504/ijicot.2017.10005832","title":"Results related to exponential entropy","display_name":"Results related to exponential entropy","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2668552504","doi":"https://doi.org/10.1504/ijicot.2017.10005832","mag":"2668552504"},"language":"en","primary_location":{"id":"doi:10.1504/ijicot.2017.10005832","is_oa":false,"landing_page_url":"https://doi.org/10.1504/ijicot.2017.10005832","pdf_url":null,"source":{"id":"https://openalex.org/S185467048","display_name":"International Journal of Information and Coding Theory","issn_l":"1753-7703","issn":["1753-7703","1753-7711"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Information and Coding Theory","raw_type":"journal-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/A5054673175","display_name":"Mohammad Amini","orcid":"https://orcid.org/0000-0002-8336-201X"},"institutions":[{"id":"https://openalex.org/I86958956","display_name":"Ferdowsi University of Mashhad","ror":"https://ror.org/00g6ka752","country_code":"IR","type":"education","lineage":["https://openalex.org/I86958956"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Mohammad Amini","raw_affiliation_strings":["Department of Statistics and Ordered and Spatial Data Center of Excellence, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and Ordered and Spatial Data Center of Excellence, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran","institution_ids":["https://openalex.org/I86958956"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073442805","display_name":"Sajjad Mazloum Panjehkeh","orcid":null},"institutions":[{"id":"https://openalex.org/I86958956","display_name":"Ferdowsi University of Mashhad","ror":"https://ror.org/00g6ka752","country_code":"IR","type":"education","lineage":["https://openalex.org/I86958956"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Sajjad Mazloum Panjehkeh","raw_affiliation_strings":["Department of Statistics and Ordered and Spatial Data Center of Excellence, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and Ordered and Spatial Data Center of Excellence, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran","institution_ids":["https://openalex.org/I86958956"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072465224","display_name":"Gholam Reza Mohtashami Borzadaran","orcid":"https://orcid.org/0000-0002-8841-1386"},"institutions":[{"id":"https://openalex.org/I86958956","display_name":"Ferdowsi University of Mashhad","ror":"https://ror.org/00g6ka752","country_code":"IR","type":"education","lineage":["https://openalex.org/I86958956"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Gholam Reza Mohtashami Borzadaran","raw_affiliation_strings":["Department of Statistics and Ordered and Spatial Data Center of Excellence, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and Ordered and Spatial Data Center of Excellence, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran","institution_ids":["https://openalex.org/I86958956"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5054673175"],"corresponding_institution_ids":["https://openalex.org/I86958956"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.08206293,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"4","issue":"4","first_page":"258","last_page":"258"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9775999784469604,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9775999784469604,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9190000295639038,"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":0.6944522261619568},{"id":"https://openalex.org/keywords/r\u00e9nyi-entropy","display_name":"R\u00e9nyi entropy","score":0.6891078948974609},{"id":"https://openalex.org/keywords/min-entropy","display_name":"Min entropy","score":0.6455215215682983},{"id":"https://openalex.org/keywords/maximum-entropy-probability-distribution","display_name":"Maximum entropy probability distribution","score":0.6415618658065796},{"id":"https://openalex.org/keywords/joint-quantum-entropy","display_name":"Joint quantum entropy","score":0.5984093546867371},{"id":"https://openalex.org/keywords/maximum-entropy-thermodynamics","display_name":"Maximum entropy thermodynamics","score":0.579340934753418},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5463316440582275},{"id":"https://openalex.org/keywords/tsallis-entropy","display_name":"Tsallis entropy","score":0.5033156275749207},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.49139514565467834},{"id":"https://openalex.org/keywords/joint-entropy","display_name":"Joint entropy","score":0.4680468738079071},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.45759305357933044},{"id":"https://openalex.org/keywords/entropy-rate","display_name":"Entropy rate","score":0.42563486099243164},{"id":"https://openalex.org/keywords/entropy-in-thermodynamics-and-information-theory","display_name":"Entropy in thermodynamics and information theory","score":0.42079436779022217},{"id":"https://openalex.org/keywords/quantum-relative-entropy","display_name":"Quantum relative entropy","score":0.41340893507003784},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3790997862815857},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.309258371591568},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2506610155105591},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21611574292182922},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15295180678367615},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.12240073084831238},{"id":"https://openalex.org/keywords/quantum-discord","display_name":"Quantum discord","score":0.10204723477363586},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.08901935815811157},{"id":"https://openalex.org/keywords/tsallis-statistics","display_name":"Tsallis statistics","score":0.08663076162338257},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.08460614085197449},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07997003197669983}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6944522261619568},{"id":"https://openalex.org/C142611142","wikidata":"https://www.wikidata.org/wiki/Q1433083","display_name":"R\u00e9nyi entropy","level":3,"score":0.6891078948974609},{"id":"https://openalex.org/C196083917","wikidata":"https://www.wikidata.org/wiki/Q17103874","display_name":"Min entropy","level":5,"score":0.6455215215682983},{"id":"https://openalex.org/C60507348","wikidata":"https://www.wikidata.org/wiki/Q6795892","display_name":"Maximum entropy probability distribution","level":3,"score":0.6415618658065796},{"id":"https://openalex.org/C42047476","wikidata":"https://www.wikidata.org/wiki/Q6269544","display_name":"Joint quantum entropy","level":3,"score":0.5984093546867371},{"id":"https://openalex.org/C49775889","wikidata":"https://www.wikidata.org/wiki/Q6795896","display_name":"Maximum entropy thermodynamics","level":4,"score":0.579340934753418},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5463316440582275},{"id":"https://openalex.org/C117521176","wikidata":"https://www.wikidata.org/wiki/Q7849341","display_name":"Tsallis entropy","level":3,"score":0.5033156275749207},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.49139514565467834},{"id":"https://openalex.org/C106752470","wikidata":"https://www.wikidata.org/wiki/Q1364826","display_name":"Joint entropy","level":3,"score":0.4680468738079071},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.45759305357933044},{"id":"https://openalex.org/C125252325","wikidata":"https://www.wikidata.org/wiki/Q1345213","display_name":"Entropy rate","level":4,"score":0.42563486099243164},{"id":"https://openalex.org/C148563202","wikidata":"https://www.wikidata.org/wiki/Q5380803","display_name":"Entropy in thermodynamics and information theory","level":5,"score":0.42079436779022217},{"id":"https://openalex.org/C24495805","wikidata":"https://www.wikidata.org/wiki/Q7269091","display_name":"Quantum relative entropy","level":5,"score":0.41340893507003784},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3790997862815857},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.309258371591568},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2506610155105591},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21611574292182922},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15295180678367615},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.12240073084831238},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.10204723477363586},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.08901935815811157},{"id":"https://openalex.org/C2780056601","wikidata":"https://www.wikidata.org/wiki/Q7849339","display_name":"Tsallis statistics","level":2,"score":0.08663076162338257},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.08460614085197449},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07997003197669983}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1504/ijicot.2017.10005832","is_oa":false,"landing_page_url":"https://doi.org/10.1504/ijicot.2017.10005832","pdf_url":null,"source":{"id":"https://openalex.org/S185467048","display_name":"International Journal of Information and Coding Theory","issn_l":"1753-7703","issn":["1753-7703","1753-7711"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Information and Coding Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2092814302","https://openalex.org/W2330170324","https://openalex.org/W4247532445","https://openalex.org/W2139507220","https://openalex.org/W2898188192","https://openalex.org/W2083462338","https://openalex.org/W1981927834","https://openalex.org/W3114186922","https://openalex.org/W2300741437","https://openalex.org/W2134287462"],"abstract_inverted_index":{"The":[0],"Shannon":[1,61,106],"entropy":[2,41,62,73,76,79,93],"which":[3,101],"is":[4],"widely":[5],"used":[6],"in":[7,55,63,85],"many":[8],"fields":[9],"of":[10,16,22,39],"science,":[11],"some":[12,35],"advantage":[13],"and":[14,37,65,77],"disadvantage":[15,23],"it":[17],"are":[18,102],"noticeable.":[19],"In":[20,30],"view":[21],"formulated,":[24],"other":[25],"entropies":[26],"like":[27],"exponential":[28,40,72,92],"entropy.":[29,107],"this":[31],"paper,":[32],"we":[33,82],"study":[34],"characterisation":[36],"properties":[38],"such":[42],"as":[43],"asymptotic":[44],"equipartition":[45],"property,":[46],"chain":[47],"rule,":[48],"the":[49,60,69,86,99,105],"subadditivity,":[50],"invariancy":[51],"under":[52],"monotone":[53],"transformation":[54],"parallel":[56],"to":[57],"those":[58],"for":[59],"continuous":[64],"discrete":[66],"cases.":[67],"Also,":[68],"relationship":[70],"between":[71],"with":[74],"Tsallis":[75],"Renyi":[78],"obtained.":[80],"Finally,":[81],"show":[83],"that":[84],"image":[87],"segmentation,":[88],"algorithms":[89,100],"based":[90,103],"on":[91,104],"has":[94],"a":[95],"better":[96],"performance":[97],"than":[98]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}