{"id":"https://openalex.org/W2096706202","doi":"https://doi.org/10.1109/isit.2010.5513643","title":"Entropy measures vs. algorithmic information","display_name":"Entropy measures vs. algorithmic information","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W2096706202","doi":"https://doi.org/10.1109/isit.2010.5513643","mag":"2096706202"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2010.5513643","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2010.5513643","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},"type":"conference-paper","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/A5009420670","display_name":"Andr\u00e9ia Teixeira","orcid":"https://orcid.org/0000-0003-1199-2220"},"institutions":[{"id":"https://openalex.org/I182534213","display_name":"Universidade do Porto","ror":"https://ror.org/043pwc612","country_code":"PT","type":"education","lineage":["https://openalex.org/I182534213"]},{"id":"https://openalex.org/I4210120471","display_name":"Instituto de Telecomunica\u00e7\u00f5es","ror":"https://ror.org/02ht4fk33","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210120471"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Andreia Teixeira","raw_affiliation_strings":["Instituto de Telecomunica\u00e7\u00f5es, Universidade do Porto, Portugal","Universidade do Porto and Instituto de Telecomunica\u00e7 \u00f5es, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Telecomunica\u00e7\u00f5es, Universidade do Porto, Portugal","institution_ids":["https://openalex.org/I182534213","https://openalex.org/I4210120471"]},{"raw_affiliation_string":"Universidade do Porto and Instituto de Telecomunica\u00e7 \u00f5es, Portugal","institution_ids":["https://openalex.org/I182534213","https://openalex.org/I4210120471"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054293792","display_name":"Andr\u00e9 Souto","orcid":"https://orcid.org/0000-0001-8792-959X"},"institutions":[{"id":"https://openalex.org/I182534213","display_name":"Universidade do Porto","ror":"https://ror.org/043pwc612","country_code":"PT","type":"education","lineage":["https://openalex.org/I182534213"]},{"id":"https://openalex.org/I4210120471","display_name":"Instituto de Telecomunica\u00e7\u00f5es","ror":"https://ror.org/02ht4fk33","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210120471"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Andre Souto","raw_affiliation_strings":["Instituto de Telecomunica\u00e7\u00f5es, Universidade do Porto, Portugal","Universidade do Porto and Instituto de Telecomunica\u00e7 \u00f5es, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Telecomunica\u00e7\u00f5es, Universidade do Porto, Portugal","institution_ids":["https://openalex.org/I182534213","https://openalex.org/I4210120471"]},{"raw_affiliation_string":"Universidade do Porto and Instituto de Telecomunica\u00e7 \u00f5es, Portugal","institution_ids":["https://openalex.org/I182534213","https://openalex.org/I4210120471"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035830862","display_name":"Armando B. Matos","orcid":"https://orcid.org/0000-0003-2144-4439"},"institutions":[{"id":"https://openalex.org/I182534213","display_name":"Universidade do Porto","ror":"https://ror.org/043pwc612","country_code":"PT","type":"education","lineage":["https://openalex.org/I182534213"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Armando Matos","raw_affiliation_strings":["LIACC, Universidade do Porto, Portugal","Universidade do Porto and LIACC, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIACC, Universidade do Porto, Portugal","institution_ids":["https://openalex.org/I182534213"]},{"raw_affiliation_string":"Universidade do Porto and LIACC, Portugal","institution_ids":["https://openalex.org/I182534213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048190616","display_name":"Lu\u00eds Antunes","orcid":"https://orcid.org/0000-0002-9988-594X"},"institutions":[{"id":"https://openalex.org/I182534213","display_name":"Universidade do Porto","ror":"https://ror.org/043pwc612","country_code":"PT","type":"education","lineage":["https://openalex.org/I182534213"]},{"id":"https://openalex.org/I4210120471","display_name":"Instituto de Telecomunica\u00e7\u00f5es","ror":"https://ror.org/02ht4fk33","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210120471"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Luis Antunes","raw_affiliation_strings":["Instituto de Telecomunica\u00e7\u00f5es, Universidade do Porto, Portugal","Universidade do Porto and Instituto de Telecomunica\u00e7 \u00f5es, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Telecomunica\u00e7\u00f5es, Universidade do Porto, Portugal","institution_ids":["https://openalex.org/I182534213","https://openalex.org/I4210120471"]},{"raw_affiliation_string":"Universidade do Porto and Instituto de Telecomunica\u00e7 \u00f5es, Portugal","institution_ids":["https://openalex.org/I182534213","https://openalex.org/I4210120471"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.23200894,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"10","issue":null,"first_page":"1413","last_page":"1417"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9994999766349792,"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9902999997138977,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9739999771118164,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/tsallis-entropy","display_name":"Tsallis entropy","score":0.7419979572296143},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.649106502532959},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6236815452575684},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.6231146454811096},{"id":"https://openalex.org/keywords/min-entropy","display_name":"Min entropy","score":0.6183081269264221},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6005672812461853},{"id":"https://openalex.org/keywords/r\u00e9nyi-entropy","display_name":"R\u00e9nyi entropy","score":0.5633913278579712},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.5282323360443115},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46356093883514404},{"id":"https://openalex.org/keywords/maximum-entropy-probability-distribution","display_name":"Maximum entropy probability distribution","score":0.4487687945365906},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3619902729988098},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3538890480995178},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.35305193066596985},{"id":"https://openalex.org/keywords/maximum-entropy-thermodynamics","display_name":"Maximum entropy thermodynamics","score":0.332926869392395},{"id":"https://openalex.org/keywords/binary-entropy-function","display_name":"Binary entropy function","score":0.3281427025794983},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.20861566066741943},{"id":"https://openalex.org/keywords/tsallis-statistics","display_name":"Tsallis statistics","score":0.20198720693588257},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09372302889823914},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08747336268424988}],"concepts":[{"id":"https://openalex.org/C117521176","wikidata":"https://www.wikidata.org/wiki/Q7849341","display_name":"Tsallis entropy","level":3,"score":0.7419979572296143},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.649106502532959},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6236815452575684},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.6231146454811096},{"id":"https://openalex.org/C196083917","wikidata":"https://www.wikidata.org/wiki/Q17103874","display_name":"Min entropy","level":5,"score":0.6183081269264221},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6005672812461853},{"id":"https://openalex.org/C142611142","wikidata":"https://www.wikidata.org/wiki/Q1433083","display_name":"R\u00e9nyi entropy","level":3,"score":0.5633913278579712},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.5282323360443115},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46356093883514404},{"id":"https://openalex.org/C60507348","wikidata":"https://www.wikidata.org/wiki/Q6795892","display_name":"Maximum entropy probability distribution","level":3,"score":0.4487687945365906},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3619902729988098},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3538890480995178},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.35305193066596985},{"id":"https://openalex.org/C49775889","wikidata":"https://www.wikidata.org/wiki/Q6795896","display_name":"Maximum entropy thermodynamics","level":4,"score":0.332926869392395},{"id":"https://openalex.org/C44415725","wikidata":"https://www.wikidata.org/wiki/Q4913893","display_name":"Binary entropy function","level":3,"score":0.3281427025794983},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20861566066741943},{"id":"https://openalex.org/C2780056601","wikidata":"https://www.wikidata.org/wiki/Q7849339","display_name":"Tsallis statistics","level":2,"score":0.20198720693588257},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09372302889823914},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08747336268424988},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2010.5513643","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2010.5513643","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1483547755","https://openalex.org/W1525491629","https://openalex.org/W1638203394","https://openalex.org/W1969678783","https://openalex.org/W1983874169","https://openalex.org/W1995875735","https://openalex.org/W2005097301","https://openalex.org/W2013856859","https://openalex.org/W2122882636","https://openalex.org/W2135625884","https://openalex.org/W2154462988","https://openalex.org/W2582697902","https://openalex.org/W4213350211","https://openalex.org/W6631344809"],"related_works":["https://openalex.org/W2883631711","https://openalex.org/W4220904742","https://openalex.org/W4247532445","https://openalex.org/W2530050266","https://openalex.org/W2234812299","https://openalex.org/W4242777735","https://openalex.org/W2124519949","https://openalex.org/W1480267312","https://openalex.org/W2023739778","https://openalex.org/W2019050704"],"abstract_inverted_index":{"Algorithmic":[0],"entropy":[1,4,41,116,138],"and":[2,20,65,78,155,160],"Shannon":[3,44,86,137],"are":[5],"two":[6],"conceptually":[7],"different":[8],"information":[9],"measures,":[10],"as":[11,129],"the":[12,21,36,54,101,110,118,126,130,140],"former":[13],"is":[14,28,105,121,124,164],"based":[15],"on":[16,53],"size":[17],"of":[18,39,68,81,113,142],"programs":[19],"later":[22],"in":[23,107,125],"probability":[24,34,103],"distributions.":[25],"However,":[26],"it":[27,73],"known":[29],"that,":[30,96,148],"for":[31,63,76,85,97,134,149],"any":[32],"recursive":[33],"distribution,":[35],"expected":[37,111],"value":[38,112],"algorithmic":[40,115],"equals":[42],"its":[43],"entropy,":[45],"up":[46],"to":[47],"a":[48,59,89,163],"constant":[49],"that":[50,72,100],"depends":[51],"only":[52,74,161],"distribution.":[55],"We":[56,146],"study":[57],"if":[58,159,162],"similar":[60],"relationship":[61],"holds":[62,75],"R\u00e9nyi":[64,77,156],"Tsallis":[66,79,154],"entropies":[67,80,157],"order":[69,82],"\u03b1,":[70],"showing":[71],"1":[83],"(i.e.,":[84],"entropy).":[87],"Regarding":[88],"time":[90,108,120],"bounded":[91],"analogue":[92],"relationship,":[93],"we":[94],"show":[95],"distributions":[98],"such":[99],"cumulative":[102],"distribution":[104,152],"computable":[106],"t(n),":[109],"time-bounded":[114,151],"(where":[117],"alloted":[119],"nt(n)":[122],"log(nt(n)))":[123],"same":[127],"range":[128],"unbounded":[131],"version.":[132],"So,":[133],"these":[135],"distributions,":[136],"captures":[139],"notion":[141],"computationally":[143],"accessible":[144],"information.":[145],"prove":[147],"universal":[150],"mt(x),":[153],"converge":[158],"greater":[165],"than":[166],"1.":[167]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}