{"id":"https://openalex.org/W2148732449","doi":"https://doi.org/10.1145/1055558.1055595","title":"Adaptive sampling for geometric problems over data streams","display_name":"Adaptive sampling for geometric problems over data streams","publication_year":2004,"publication_date":"2004-06-14","ids":{"openalex":"https://openalex.org/W2148732449","doi":"https://doi.org/10.1145/1055558.1055595","mag":"2148732449"},"language":"en","primary_location":{"id":"doi:10.1145/1055558.1055595","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1055558.1055595","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/A5038416046","display_name":"John Hershberger","orcid":null},"institutions":[{"id":"https://openalex.org/I4210156212","display_name":"Mentor Technologies","ror":"https://ror.org/05vewsj04","country_code":"US","type":"other","lineage":["https://openalex.org/I4210156212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John Hershberger","raw_affiliation_strings":["Mentor Graphics Corp., Wilsonville, OR"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mentor Graphics Corp., Wilsonville, OR","institution_ids":["https://openalex.org/I4210156212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072397842","display_name":"Subhash Suri","orcid":"https://orcid.org/0000-0002-5668-7521"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Subhash Suri","raw_affiliation_strings":["University of California, Santa Barbara, CA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California, Santa Barbara, CA","institution_ids":["https://openalex.org/I154570441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":9.2522,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.97797418,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"252","last_page":"262"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","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"}},"topics":[{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","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/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9894999861717224,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.8382705450057983},{"id":"https://openalex.org/keywords/data-stream-mining","display_name":"Data stream mining","score":0.6842069625854492},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.5545168519020081},{"id":"https://openalex.org/keywords/sample","display_name":"Sample (material)","score":0.5496245622634888},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5292583703994751},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5112717151641846},{"id":"https://openalex.org/keywords/data-stream","display_name":"Data stream","score":0.49801087379455566},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.4846054017543793},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.44669246673583984},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.4416349232196808},{"id":"https://openalex.org/keywords/hull","display_name":"Hull","score":0.4260191321372986},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4190016984939575},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3950788080692291},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3801952004432678},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.2538287043571472},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21710985898971558},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.2000443935394287},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.17910653352737427},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14176353812217712},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.13613280653953552}],"concepts":[{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.8382705450057983},{"id":"https://openalex.org/C89198739","wikidata":"https://www.wikidata.org/wiki/Q3079880","display_name":"Data stream mining","level":2,"score":0.6842069625854492},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5545168519020081},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.5496245622634888},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5292583703994751},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5112717151641846},{"id":"https://openalex.org/C2778484313","wikidata":"https://www.wikidata.org/wiki/Q1172540","display_name":"Data stream","level":2,"score":0.49801087379455566},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.4846054017543793},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.44669246673583984},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.4416349232196808},{"id":"https://openalex.org/C37423430","wikidata":"https://www.wikidata.org/wiki/Q6750281","display_name":"Hull","level":2,"score":0.4260191321372986},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4190016984939575},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3950788080692291},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3801952004432678},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.2538287043571472},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21710985898971558},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.2000443935394287},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.17910653352737427},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14176353812217712},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.13613280653953552},{"id":"https://openalex.org/C199104240","wikidata":"https://www.wikidata.org/wiki/Q118291","display_name":"Marine engineering","level":1,"score":0.0},{"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/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1055558.1055595","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1055558.1055595","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.49000000953674316,"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W336063547","https://openalex.org/W1517042016","https://openalex.org/W1965972569","https://openalex.org/W1981313592","https://openalex.org/W2001474264","https://openalex.org/W2005314985","https://openalex.org/W2007025103","https://openalex.org/W2026786966","https://openalex.org/W2037134555","https://openalex.org/W2070615572","https://openalex.org/W2070991879","https://openalex.org/W2080745194","https://openalex.org/W2094395615","https://openalex.org/W2112452856","https://openalex.org/W2114944618","https://openalex.org/W2131573942","https://openalex.org/W2149906774","https://openalex.org/W2156943642","https://openalex.org/W2752885492","https://openalex.org/W2953191248","https://openalex.org/W3145128584","https://openalex.org/W4248484045","https://openalex.org/W4255348059"],"related_works":["https://openalex.org/W4389449520","https://openalex.org/W127192698","https://openalex.org/W2570600173","https://openalex.org/W2893008024","https://openalex.org/W2365830408","https://openalex.org/W2743735673","https://openalex.org/W1507382935","https://openalex.org/W2300145982","https://openalex.org/W2363904277","https://openalex.org/W4361801939"],"abstract_inverted_index":{"Geometric":[0],"coordinates":[1],"are":[2,106],"an":[3,115,165,171],"integral":[4],"part":[5],"of":[6,27,55,76,95,128,145,161,174,194,205],"many":[7,45],"data":[8,38,97],"streams.":[9],"Examples":[10],"include":[11],"sensor":[12],"locations":[13,18],"in":[14,19,64,149,222],"environmental":[15],"monitoring,":[16],"vehicle":[17],"traffic":[20],"monitoring":[21],"or":[22,29,72,99,226],"battlefield":[23],"simulations,":[24],"scientific":[25],"measurements":[26],"earth":[28],"atmospheric":[30],"phenomena,":[31],"etc.":[32],"How":[33],"can":[34,49,80,169,219],"one":[35],"summarize":[36],"such":[37,56,181],"streams":[39],"using":[40],"limited":[41],"storage":[42],"so":[43],"that":[44,119,182],"natural":[46],"geometric":[47],"queries":[48,57,83,216],"be":[50,220],"answered":[51,221],"faithfully?":[52],"Some":[53],"examples":[54],"are:":[58],"report":[59,100],"the":[60,74,77,88,92,141,183,186,191,195,203,206,215],"smallest":[61],"convex":[62,93,143,188,192,212],"region":[63],"which":[65],"a":[66,136,146,150,159],"chemical":[67],"leak":[68],"has":[69],"been":[70],"sensed,":[71],"track":[73,87],"diameter":[75,204],"dataset.":[78],"One":[79],"also":[81],"pose":[82],"over":[84],"multiple":[85],"streams:":[86],"minimum":[89],"distance":[90,184],"between":[91,185],"hulls":[94],"two":[96],"streams;":[98],"when":[101],"datasets":[102],"A":[103],"and":[104,164,190],"B":[105],"no":[107],"longer":[108],"linearly":[109],"separable.In":[110],"this":[111,129],"paper,":[112],"we":[113,168],"propose":[114],"adaptive":[116,172],"sampling":[117],"scheme":[118],"gives":[120],"provably":[121],"optimal":[122],"error":[123],"bounds":[124],"for":[125,139],"extremal":[126],"problems":[127],"nature.":[130],"All":[131],"our":[132,210],"results":[133],"follow":[134],"from":[135],"single":[137,151],"technique":[138],"computing":[140],"approximate":[142],"hull":[144,189,193],"point":[147],"stream":[148,160],"pass.":[152],"Our":[153],"main":[154],"result":[155],"is":[156,198,202],"this:":[157],"given":[158],"two-dimensional":[162],"points":[163,180,197],"integer":[166],"r,":[167],"maintain":[170],"sample":[173,196,207,211],"at":[175],"most":[176],"2r":[177],"+":[178],"1":[179],"true":[187],"O(D/r2),":[199],"where":[200],"D":[201],"set.":[208],"With":[209],"hull,":[213],"all":[214],"mentioned":[217],"above":[218],"either":[223],"O(log":[224],"r)":[225],"O(r)":[227],"time.":[228]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
