{"id":"https://openalex.org/W2116541203","doi":"https://doi.org/10.1109/itw.2008.4578656","title":"Streaming algorithms for estimating entropy","display_name":"Streaming algorithms for estimating entropy","publication_year":2008,"publication_date":"2008-05-01","ids":{"openalex":"https://openalex.org/W2116541203","doi":"https://doi.org/10.1109/itw.2008.4578656","mag":"2116541203"},"language":"en","primary_location":{"id":"doi:10.1109/itw.2008.4578656","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2008.4578656","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE Information Theory Workshop","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/A5102957872","display_name":"Nicholas J. A. Harvey","orcid":"https://orcid.org/0000-0001-5593-9785"},"institutions":[{"id":"https://openalex.org/I4405258931","display_name":"MIT Computer Science and Artificial Intelligence Laboratory","ror":"https://ror.org/01e85r662","country_code":"US","type":"facility","lineage":["https://openalex.org/I4405258931","https://openalex.org/I63966007"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nicholas J. A. Harvey","raw_affiliation_strings":["MIT CSAIL, Cambridge, MA, USA","MIT - CSAIL, Cambridge, MA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MIT CSAIL, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4405258931"]},{"raw_affiliation_string":"MIT - CSAIL, Cambridge, MA#TAB#","institution_ids":["https://openalex.org/I4405258931","https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109135732","display_name":"Jelani Nelson","orcid":null},"institutions":[{"id":"https://openalex.org/I4405258931","display_name":"MIT Computer Science and Artificial Intelligence Laboratory","ror":"https://ror.org/01e85r662","country_code":"US","type":"facility","lineage":["https://openalex.org/I4405258931","https://openalex.org/I63966007"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jelani Nelson","raw_affiliation_strings":["MIT CSAIL, Cambridge, MA, USA","MIT - CSAIL, Cambridge, MA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MIT CSAIL, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4405258931"]},{"raw_affiliation_string":"MIT - CSAIL, Cambridge, MA#TAB#","institution_ids":["https://openalex.org/I4405258931","https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040763434","display_name":"Krzysztof Onak","orcid":"https://orcid.org/0000-0003-0226-7449"},"institutions":[{"id":"https://openalex.org/I4405258931","display_name":"MIT Computer Science and Artificial Intelligence Laboratory","ror":"https://ror.org/01e85r662","country_code":"US","type":"facility","lineage":["https://openalex.org/I4405258931","https://openalex.org/I63966007"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Krzysztof Onak","raw_affiliation_strings":["MIT CSAIL, Cambridge, MA, USA","MIT - CSAIL, Cambridge, MA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MIT CSAIL, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4405258931"]},{"raw_affiliation_string":"MIT - CSAIL, Cambridge, MA#TAB#","institution_ids":["https://openalex.org/I4405258931","https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":null,"first_page":"227","last_page":"231"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9936000108718872,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/r\u00e9nyi-entropy","display_name":"R\u00e9nyi entropy","score":0.8067246079444885},{"id":"https://openalex.org/keywords/shannons-source-coding-theorem","display_name":"Shannon's source coding theorem","score":0.7132149338722229},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.6003974676132202},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5830176472663879},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5309179425239563},{"id":"https://openalex.org/keywords/maximum-entropy-probability-distribution","display_name":"Maximum entropy probability distribution","score":0.5288444757461548},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4567391574382782},{"id":"https://openalex.org/keywords/entropy-power-inequality","display_name":"Entropy power inequality","score":0.4385339319705963},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.43224453926086426},{"id":"https://openalex.org/keywords/entropy-rate","display_name":"Entropy rate","score":0.43114954233169556},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4299033284187317},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42155811190605164},{"id":"https://openalex.org/keywords/joint-entropy","display_name":"Joint entropy","score":0.4196210205554962},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.3996530771255493},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3657057285308838},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3294353485107422},{"id":"https://openalex.org/keywords/maximum-entropy-thermodynamics","display_name":"Maximum entropy thermodynamics","score":0.3039989173412323},{"id":"https://openalex.org/keywords/joint-quantum-entropy","display_name":"Joint quantum entropy","score":0.24491003155708313},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.23859700560569763},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16356056928634644}],"concepts":[{"id":"https://openalex.org/C142611142","wikidata":"https://www.wikidata.org/wiki/Q1433083","display_name":"R\u00e9nyi entropy","level":3,"score":0.8067246079444885},{"id":"https://openalex.org/C177409962","wikidata":"https://www.wikidata.org/wiki/Q2411312","display_name":"Shannon's source coding theorem","level":5,"score":0.7132149338722229},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.6003974676132202},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5830176472663879},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5309179425239563},{"id":"https://openalex.org/C60507348","wikidata":"https://www.wikidata.org/wiki/Q6795892","display_name":"Maximum entropy probability distribution","level":3,"score":0.5288444757461548},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4567391574382782},{"id":"https://openalex.org/C320580","wikidata":"https://www.wikidata.org/wiki/Q5380810","display_name":"Entropy power inequality","level":5,"score":0.4385339319705963},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.43224453926086426},{"id":"https://openalex.org/C125252325","wikidata":"https://www.wikidata.org/wiki/Q1345213","display_name":"Entropy rate","level":4,"score":0.43114954233169556},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4299033284187317},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42155811190605164},{"id":"https://openalex.org/C106752470","wikidata":"https://www.wikidata.org/wiki/Q1364826","display_name":"Joint entropy","level":3,"score":0.4196210205554962},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.3996530771255493},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3657057285308838},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3294353485107422},{"id":"https://openalex.org/C49775889","wikidata":"https://www.wikidata.org/wiki/Q6795896","display_name":"Maximum entropy thermodynamics","level":4,"score":0.3039989173412323},{"id":"https://openalex.org/C42047476","wikidata":"https://www.wikidata.org/wiki/Q6269544","display_name":"Joint quantum entropy","level":3,"score":0.24491003155708313},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.23859700560569763},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16356056928634644},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/itw.2008.4578656","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2008.4578656","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE Information Theory Workshop","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.142.1268","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.142.1268","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://theory.csail.mit.edu/~nickh/Publications/StreamingEntropy/ITW.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320333566","display_name":"National Defense Science and Engineering Graduate","ror":null},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W13240917","https://openalex.org/W58810707","https://openalex.org/W1628908379","https://openalex.org/W1965972569","https://openalex.org/W1991851767","https://openalex.org/W1995484833","https://openalex.org/W2045533739","https://openalex.org/W2054081892","https://openalex.org/W2069414131","https://openalex.org/W2078764670","https://openalex.org/W2080745194","https://openalex.org/W2097415784","https://openalex.org/W2099111195","https://openalex.org/W2099220942","https://openalex.org/W2107917944","https://openalex.org/W2130598205","https://openalex.org/W2164210932","https://openalex.org/W2595897327","https://openalex.org/W2621193479","https://openalex.org/W2949196898","https://openalex.org/W3043924052","https://openalex.org/W6600515212","https://openalex.org/W6602397648","https://openalex.org/W6674801067","https://openalex.org/W6738367115"],"related_works":["https://openalex.org/W3114186922","https://openalex.org/W2171750587","https://openalex.org/W2083462338","https://openalex.org/W2898188192","https://openalex.org/W2330170324","https://openalex.org/W2039421175","https://openalex.org/W862060148","https://openalex.org/W3210135756","https://openalex.org/W4224248810","https://openalex.org/W2398403988"],"abstract_inverted_index":{"We":[0],"give":[1],"a":[2,11],"method":[3],"for":[4],"estimating":[5,29],"the":[6,14,25,47],"empirical":[7],"Shannon":[8,55],"entropy":[9,53],"of":[10,17,28,34,49,51],"distribution":[12],"in":[13],"streaming":[15],"model":[16],"computation.":[18],"Our":[19],"approach":[20,36],"reduces":[21],"this":[22],"problem":[23,27],"to":[24],"well-studied":[26],"frequency":[30],"moments.":[31],"The":[32],"analysis":[33],"our":[35],"is":[37],"based":[38],"on":[39,46],"new":[40],"results":[41],"which":[42],"establish":[43],"quantitative":[44],"bounds":[45],"rate":[48],"convergence":[50],"Renyi":[52],"towards":[54],"entropy.":[56]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
