{"id":"https://openalex.org/W2898069179","doi":"https://doi.org/10.1145/3264427","title":"An Optimal Algorithm for \u2113 <sub>1</sub> -Heavy Hitters in Insertion Streams and Related Problems","display_name":"An Optimal Algorithm for \u2113 <sub>1</sub> -Heavy Hitters in Insertion Streams and Related Problems","publication_year":2018,"publication_date":"2018-10-22","ids":{"openalex":"https://openalex.org/W2898069179","doi":"https://doi.org/10.1145/3264427","mag":"2898069179"},"language":"en","primary_location":{"id":"doi:10.1145/3264427","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3264427","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","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/A5102919901","display_name":"Arnab Bhattacharyya","orcid":"https://orcid.org/0000-0002-3648-5957"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Arnab Bhattacharyya","raw_affiliation_strings":["CSA Department Indian Institute of Science"],"affiliations":[{"raw_affiliation_string":"CSA Department Indian Institute of Science","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078621796","display_name":"Palash Dey","orcid":"https://orcid.org/0000-0003-0071-9464"},"institutions":[{"id":"https://openalex.org/I145894827","display_name":"Indian Institute of Technology Kharagpur","ror":"https://ror.org/03w5sq511","country_code":"IN","type":"education","lineage":["https://openalex.org/I145894827"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Palash Dey","raw_affiliation_strings":["CSE Department IIT Kharagpur, Kharagpur, West Bengal, India"],"affiliations":[{"raw_affiliation_string":"CSE Department IIT Kharagpur, Kharagpur, West Bengal, India","institution_ids":["https://openalex.org/I145894827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102861589","display_name":"David P. Woodruff","orcid":"https://orcid.org/0000-0002-2158-1380"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"David P. Woodruff","raw_affiliation_strings":["School of Computer Science Carnegie Mellon University"],"affiliations":[{"raw_affiliation_string":"School of Computer Science Carnegie Mellon University","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102919901"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9227,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.78284597,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"15","issue":"1","first_page":"1","last_page":"27"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12288","display_name":"Optimization and Search Problems","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9966999888420105,"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/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.9965999722480774,"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/data-stream","display_name":"Data stream","score":0.6041382551193237},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5669347047805786},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.5433261394500732},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5190554261207581},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5030960440635681},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5005183219909668},{"id":"https://openalex.org/keywords/data-stream-mining","display_name":"Data stream mining","score":0.4882800579071045},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44359666109085083},{"id":"https://openalex.org/keywords/linear-space","display_name":"Linear space","score":0.42235270142555237},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.39604833722114563},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3303399682044983},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30820226669311523},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21426531672477722},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.09523150324821472}],"concepts":[{"id":"https://openalex.org/C2778484313","wikidata":"https://www.wikidata.org/wiki/Q1172540","display_name":"Data stream","level":2,"score":0.6041382551193237},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5669347047805786},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.5433261394500732},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5190554261207581},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5030960440635681},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5005183219909668},{"id":"https://openalex.org/C89198739","wikidata":"https://www.wikidata.org/wiki/Q3079880","display_name":"Data stream mining","level":2,"score":0.4882800579071045},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44359666109085083},{"id":"https://openalex.org/C176370821","wikidata":"https://www.wikidata.org/wiki/Q1826459","display_name":"Linear space","level":2,"score":0.42235270142555237},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.39604833722114563},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3303399682044983},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30820226669311523},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21426531672477722},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.09523150324821472},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3264427","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3264427","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":82,"referenced_works":["https://openalex.org/W9921517","https://openalex.org/W562201397","https://openalex.org/W605043455","https://openalex.org/W1493149182","https://openalex.org/W1493892051","https://openalex.org/W1506285740","https://openalex.org/W1553409264","https://openalex.org/W1582747324","https://openalex.org/W1597161471","https://openalex.org/W1597561788","https://openalex.org/W1675727887","https://openalex.org/W1873650224","https://openalex.org/W1956340982","https://openalex.org/W1965972569","https://openalex.org/W1971040550","https://openalex.org/W1974466705","https://openalex.org/W1988686126","https://openalex.org/W1989800045","https://openalex.org/W1996008403","https://openalex.org/W2002501531","https://openalex.org/W2003262311","https://openalex.org/W2006355640","https://openalex.org/W2009077327","https://openalex.org/W2012549717","https://openalex.org/W2018989507","https://openalex.org/W2019066938","https://openalex.org/W2022858489","https://openalex.org/W2025533349","https://openalex.org/W2032457826","https://openalex.org/W2042875144","https://openalex.org/W2056012370","https://openalex.org/W2057529271","https://openalex.org/W2064710146","https://openalex.org/W2064853889","https://openalex.org/W2065358633","https://openalex.org/W2069769252","https://openalex.org/W2069980026","https://openalex.org/W2080133348","https://openalex.org/W2080234606","https://openalex.org/W2089797683","https://openalex.org/W2092103580","https://openalex.org/W2096426146","https://openalex.org/W2099111195","https://openalex.org/W2099797738","https://openalex.org/W2099840351","https://openalex.org/W2102167689","https://openalex.org/W2102734279","https://openalex.org/W2103850933","https://openalex.org/W2104679989","https://openalex.org/W2106384979","https://openalex.org/W2107917944","https://openalex.org/W2113139394","https://openalex.org/W2115969720","https://openalex.org/W2119207355","https://openalex.org/W2121751780","https://openalex.org/W2130873644","https://openalex.org/W2144399314","https://openalex.org/W2144697110","https://openalex.org/W2148886022","https://openalex.org/W2161118867","https://openalex.org/W2164452299","https://openalex.org/W2165461157","https://openalex.org/W2166332856","https://openalex.org/W2166877271","https://openalex.org/W2171960770","https://openalex.org/W2293404275","https://openalex.org/W2296544654","https://openalex.org/W2339253107","https://openalex.org/W2340787257","https://openalex.org/W2341865734","https://openalex.org/W2462076241","https://openalex.org/W2484891765","https://openalex.org/W2589887588","https://openalex.org/W2752885492","https://openalex.org/W2793732086","https://openalex.org/W2951144737","https://openalex.org/W2962789190","https://openalex.org/W4205673823","https://openalex.org/W4230230708","https://openalex.org/W4247950230","https://openalex.org/W4249047728","https://openalex.org/W4252403066"],"related_works":["https://openalex.org/W4389449520","https://openalex.org/W127192698","https://openalex.org/W2570600173","https://openalex.org/W2893008024","https://openalex.org/W2743735673","https://openalex.org/W1983915440","https://openalex.org/W2360131081","https://openalex.org/W2985941356","https://openalex.org/W4361801939","https://openalex.org/W2802243998"],"abstract_inverted_index":{"We":[0,175,244],"give":[1],"the":[2,8,60,67,75,172,207,218,227,237,250,276,296],"first":[3],"optimal":[4,187],"bounds":[5],"for":[6,88,100,125,233,236],"returning":[7],"\u2113":[9,240],"1":[10,241],"-heavy":[11,242],"hitters":[12,252,279],"in":[13,39,74,158,168,171,193,217,226,272],"a":[14,25,34,178,190],"data":[15],"stream":[16,35,156],"of":[17,28,36,62,69,152,199,221,239,249,282,298],"insertions,":[18],"together":[19],"with":[20,114],"their":[21],"approximate":[22],"frequencies,":[23],"closing":[24],"long":[26],"line":[27],"work":[29],"on":[30,231],"this":[31],"problem.":[32],"For":[33],"m":[37,94,107,124,149,215],"items":[38,86,98,289],"{":[40],"1,":[41,55],"2,":[42],"\u2026":[43],",":[44,65,95,108],"n":[45,145],"}":[46],"and":[47,109,163,253,261,264],"parameters":[48],"0":[49],"&lt;":[50,52],"\u03b5":[51,123,214],"\u03c6":[53,93,139,142],"\u2a7d":[54,104,122],"let":[56],"f":[57,90,102,119],"i":[58,64,72,87,91,113,117,120,128],"denote":[59],"frequency":[61,209,255,297],"item":[63,71,127],"i.e.,":[66],"number":[68],"times":[70],"occurs":[73],"stream.":[76],"With":[77],"arbitrarily":[78],"large":[79],"constant":[80,191],"probability,":[81],"our":[82,184,200,267],"algorithm":[83,133,185,201],"returns":[84,96,110],"all":[85],"which":[89,101,181],"\u2a7e":[92],"no":[97],"j":[99,103],"(\u03c6":[105],"\u2212\u03b5)":[106],"approximations":[111],"f\u02dc":[112,116],"|":[115,121],"\u2212":[118],"each":[126,155],"that":[129,183],"it":[130],"returns.":[131],"Our":[132],"uses":[134],"O":[135,159],"(\u03b5":[136],"\u22121":[137,140,143],"log":[138,144,147,148],"+":[141,146],")":[150],"bits":[151],"space,":[153,222],"processes":[154],"update":[157],"(1)":[160],"worst-case":[161],"time,":[162],"can":[164,202,269],"report":[165],"its":[166,194],"output":[167,173],"time":[169],"linear":[170],"size.":[174],"also":[176,245],"prove":[177],"lower":[179],"bound,":[180],"implies":[182],"is":[186],"up":[188,210],"to":[189,205,211,294],"factor":[192],"space":[195],"complexity.":[196],"A":[197],"modification":[198],"be":[203,270],"used":[204],"estimate":[206],"maximum":[208,254],"an":[212,299],"additive":[213],"error":[216],"above":[219],"amount":[220],"resolving":[223],"Question":[224],"3":[225],"IITK":[228],"2006":[229],"Workshop":[230],"Algorithms":[232],"Data":[234],"Streams":[235],"case":[238],"hitters.":[243],"introduce":[246],"several":[247],"variants":[248,284],"heavy":[251,278],"problems,":[256],"inspired":[257],"by":[258],"rank":[259],"aggregation":[260],"voting":[262],"schemes,":[263],"show":[265],"how":[266],"techniques":[268],"applied":[271],"such":[273],"settings.":[274],"Unlike":[275],"traditional":[277],"problem,":[280],"some":[281],"these":[283],"look":[285],"at":[286],"comparisons":[287],"between":[288],"rather":[290],"than":[291],"numerical":[292],"values":[293],"determine":[295],"item.":[300]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
