{"id":"https://openalex.org/W2152637787","doi":"https://doi.org/10.1145/1055558.1055598","title":"Approximate counts and quantiles over sliding windows","display_name":"Approximate counts and quantiles over sliding windows","publication_year":2004,"publication_date":"2004-06-14","ids":{"openalex":"https://openalex.org/W2152637787","doi":"https://doi.org/10.1145/1055558.1055598","mag":"2152637787"},"language":"en","primary_location":{"id":"doi:10.1145/1055558.1055598","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1055558.1055598","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-third ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems","raw_type":"proceedings-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/A5026802346","display_name":"Arvind Arasu","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arvind Arasu","raw_affiliation_strings":["Stanford University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stanford University","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022543825","display_name":"Gurmeet Singh Manku","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gurmeet Singh Manku","raw_affiliation_strings":["Stanford University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stanford University","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":20.0714,"has_fulltext":false,"cited_by_count":346,"citation_normalized_percentile":{"value":0.99644389,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"286","last_page":"296"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11269","display_name":"Algorithms and Data Compression","score":0.9986000061035156,"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/T10317","display_name":"Advanced Database Systems and Queries","score":0.9979000091552734,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/sliding-window-protocol","display_name":"Sliding window protocol","score":0.9063987731933594},{"id":"https://openalex.org/keywords/quantile","display_name":"Quantile","score":0.8302146792411804},{"id":"https://openalex.org/keywords/window","display_name":"Window (computing)","score":0.7688643932342529},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6171151995658875},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5824618339538574},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4881814122200012},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.43833717703819275},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4116228520870209},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.321277379989624},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28245940804481506},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15688565373420715}],"concepts":[{"id":"https://openalex.org/C102392041","wikidata":"https://www.wikidata.org/wiki/Q592860","display_name":"Sliding window protocol","level":3,"score":0.9063987731933594},{"id":"https://openalex.org/C118671147","wikidata":"https://www.wikidata.org/wiki/Q578714","display_name":"Quantile","level":2,"score":0.8302146792411804},{"id":"https://openalex.org/C2778751112","wikidata":"https://www.wikidata.org/wiki/Q835016","display_name":"Window (computing)","level":2,"score":0.7688643932342529},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6171151995658875},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5824618339538574},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4881814122200012},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.43833717703819275},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4116228520870209},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.321277379989624},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28245940804481506},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15688565373420715},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1145/1055558.1055598","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1055558.1055598","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-third ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.522.2333","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.522.2333","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://web.cacs.louisiana.edu/~jyoon/grad/adb/Presentation/Stu_manku-slidingwindow.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.536.4282","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.536.4282","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://research.microsoft.com/pubs/77611/quantiles.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.87.4254","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.87.4254","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://infolab.stanford.edu/~manku/papers/04pods-sliding.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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1493892051","https://openalex.org/W1526735133","https://openalex.org/W1597561788","https://openalex.org/W1646696449","https://openalex.org/W1675727887","https://openalex.org/W1865797552","https://openalex.org/W1983266860","https://openalex.org/W1989640573","https://openalex.org/W1990465412","https://openalex.org/W1993482412","https://openalex.org/W1996641400","https://openalex.org/W2001474264","https://openalex.org/W2004110412","https://openalex.org/W2004154913","https://openalex.org/W2006355640","https://openalex.org/W2028660080","https://openalex.org/W2069980026","https://openalex.org/W2082553115","https://openalex.org/W2105175890","https://openalex.org/W2112452856","https://openalex.org/W2113139394","https://openalex.org/W2114944618","https://openalex.org/W2119885577","https://openalex.org/W2124507579","https://openalex.org/W2157827659","https://openalex.org/W2166502998","https://openalex.org/W2166559705","https://openalex.org/W2167973519","https://openalex.org/W3157252607","https://openalex.org/W4250544186","https://openalex.org/W4255348059","https://openalex.org/W6646263681"],"related_works":["https://openalex.org/W1488761988","https://openalex.org/W2044551864","https://openalex.org/W2047938026","https://openalex.org/W1572557500","https://openalex.org/W4390690393","https://openalex.org/W3124946120","https://openalex.org/W2585269888","https://openalex.org/W3132003399","https://openalex.org/W2005776175","https://openalex.org/W3014558862"],"abstract_inverted_index":{"We":[0,18,126],"consider":[1,19],"the":[2,28,34,52,55,60,70,77,81,87,118],"problem":[3],"of":[4,22,30,54,83,101,122],"maintaining":[5],"\u03b5-approximate":[6],"counts":[7,97,135],"and":[8,74,92,98],"quantiles":[9],"over":[10,59,117,136],"a":[11,47,63],"stream":[12],"sliding":[13,23,39,44,49,65,137],"window":[14,35,56,71],"using":[15],"limited":[16],"space.":[17,108],"two":[20],"types":[21],"windows":[24,138],"depending":[25],"on":[26,132],"whether":[27],"number":[29,82],"elements":[31,84],"N":[32,85],"in":[33,86],"is":[36,114],"fixed":[37],"(fixed-size":[38],"window)":[40],"or":[41],"variable":[42],"(variable-size":[43],"window).":[45],"In":[46,62],"fixed-size":[48],"window,":[50,66],"both":[51],"ends":[53,72],"slide":[57],"synchronously":[58],"stream.":[61],"variable-size":[64],"an":[67,115],"adversary":[68],"slides":[69],"independently,":[73],"therefore":[75],"has":[76],"ability":[78],"to":[79],"vary":[80],"window.We":[88],"present":[89],"various":[90],"deterministic":[91],"randomized":[93],"algorithms":[94,103],"for":[95],"approximate":[96,134],"quantiles.":[99],"All":[100],"our":[102],"require":[104],"O(1/\u03b5":[105],"polylog(1/\u03b5,":[106,124],"N))":[107],"For":[109],"quantiles,":[110],"this":[111],"space":[112],"requirement":[113],"improvement":[116],"previous":[119,130],"best":[120],"bound":[121],"O(1/\u03b52":[123],"N)).":[125],"believe":[127],"that":[128],"no":[129],"work":[131],"space-efficient":[133],"exists.":[139]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":16},{"year":2018,"cited_by_count":20},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":14},{"year":2015,"cited_by_count":12},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":19},{"year":2012,"cited_by_count":15}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
