{"id":"https://openalex.org/W1985786140","doi":"https://doi.org/10.1137/s1052623403424740","title":"An Efficient Approximate Algorithm for the 1-Median Problem in Metric Spaces","display_name":"An Efficient Approximate Algorithm for the 1-Median Problem in Metric Spaces","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1985786140","doi":"https://doi.org/10.1137/s1052623403424740","mag":"1985786140"},"language":"en","primary_location":{"id":"doi:10.1137/s1052623403424740","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623403424740","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","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/A5045684463","display_name":"Domenico Cantone","orcid":"https://orcid.org/0000-0002-1306-1166"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"D. Cantone","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017196703","display_name":"Gianluca Cincotti","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"G. Cincotti","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000272110","display_name":"Alfredo Ferro","orcid":"https://orcid.org/0000-0002-9431-5788"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Ferro","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5057481978","display_name":"Alfredo Pulvirenti","orcid":"https://orcid.org/0000-0002-9764-0295"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Pulvirenti","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5045684463"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9456,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.86005147,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"16","issue":"2","first_page":"434","last_page":"451"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9998000264167786,"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":0.9998000264167786,"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/T13282","display_name":"Automated Road and Building Extraction","score":0.9908999800682068,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.9871000051498413,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/metric","display_name":"Metric (unit)","score":0.666215181350708},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.6003350019454956},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.5866327285766602},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5754983425140381},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.5634652376174927},{"id":"https://openalex.org/keywords/randomized-algorithm","display_name":"Randomized algorithm","score":0.5535229444503784},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5281082391738892},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.47483354806900024},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4133192002773285},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38182511925697327},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1798085868358612},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11967247724533081}],"concepts":[{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.666215181350708},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.6003350019454956},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.5866327285766602},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5754983425140381},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.5634652376174927},{"id":"https://openalex.org/C128669082","wikidata":"https://www.wikidata.org/wiki/Q583461","display_name":"Randomized algorithm","level":2,"score":0.5535229444503784},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5281082391738892},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.47483354806900024},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4133192002773285},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38182511925697327},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1798085868358612},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11967247724533081},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s1052623403424740","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623403424740","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1515524351","https://openalex.org/W1529668588","https://openalex.org/W1536481811","https://openalex.org/W1567057207","https://openalex.org/W1770825568","https://openalex.org/W1891203375","https://openalex.org/W1990313671","https://openalex.org/W1997841190","https://openalex.org/W2001907516","https://openalex.org/W2007921877","https://openalex.org/W2019488781","https://openalex.org/W2022204379","https://openalex.org/W2027673602","https://openalex.org/W2038044292","https://openalex.org/W2046056514","https://openalex.org/W2050632537","https://openalex.org/W2061959470","https://openalex.org/W2071857538","https://openalex.org/W2082938030","https://openalex.org/W2095897464","https://openalex.org/W2102815056","https://openalex.org/W2108215151","https://openalex.org/W2127070656","https://openalex.org/W2135346934","https://openalex.org/W2139841919","https://openalex.org/W2154089265","https://openalex.org/W2166964471","https://openalex.org/W4255011371","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2067086474","https://openalex.org/W4297851895","https://openalex.org/W2952036964","https://openalex.org/W2950496458","https://openalex.org/W2055684604","https://openalex.org/W2163115662","https://openalex.org/W2888826740","https://openalex.org/W2005018956","https://openalex.org/W2463505734","https://openalex.org/W2099734427"],"abstract_inverted_index":{"We":[0],"propose":[1,146],"a":[2,21,26,125,148],"simple":[3,149],"and":[4,150,202,212,245],"natural":[5],"linear":[6,69],"randomized":[7],"algorithm":[8,71,144,158,170,182,237],"for":[9,72,133,240],"the":[10,30,36,40,73,97,162,166,178,230,235],"approximate":[11,249],"1-median":[12,19,74],"selection":[13],"problem":[14,46],"in":[15,43,50,60,65,79,94,159,177,243],"metric":[16,27,56,81],"spaces.":[17],"The":[18,67,128,143],"of":[20,25,32,55,96,104,140,168,180,191,234,248],"finite":[22],"subset":[23],"S":[24,33],"space":[28,82],"is":[29,47,114,171],"element":[31],"which":[34,76,113,137,153],"minimizes":[35],"average":[37],"distance":[38],"from":[39,223],"remaining":[41],"points":[42],"S.":[44],"This":[45],"extremely":[48],"important":[49],"most":[51],"applications":[52,242],"using":[53,215],"clustering":[54],"spaces,":[57],"but":[58],"also":[59],"connection":[61],"with":[62,210],"several":[63,241],"algorithms":[64],"bioinformatics.":[66],"only":[68,185],"approximation":[70,175],"problem,":[75],"provably":[77],"works":[78],"any":[80,86],"without":[83],"going":[84],"through":[85],"Euclidean":[87],"space,":[88],"has":[89,147,196],"been":[90,197,221],"proposed":[91,236],"by":[92,173],"Indyk":[93],"[Proceedings":[95],"31st":[98],"Annual":[99],"ACM":[100],"Symposium":[101],"on":[102,116,199,229],"Theory":[103],"Computing,":[105],"Atlanta,":[106],"1999,":[107],"pp.":[108],"428--432].":[109],"However,":[110],"Indyk's":[111,157,169],"algorithm,":[112],"based":[115],"sufficiently":[117],"large":[118],"sampling,":[119],"turns":[120],"out":[121],"not":[122],"to":[123,187],"be":[124],"practical":[126],"solution.":[127],"same":[129],"holds":[130],"true":[131],"even":[132],"its":[134,192],"heuristic":[135],"variants":[136],"use":[138],"samplings":[139],"smaller":[141],"size.":[142],"we":[145,183],"efficient":[151],"implementation,":[152],"performs":[154],"better":[155],"than":[156],"practice.":[160],"On":[161],"other":[163],"hand,":[164],"while":[165],"performance":[167],"guaranteed":[172],"an":[174],"factor,":[176],"case":[179],"our":[181],"are":[184,238],"able":[186],"produce":[188],"experimental":[189],"evidence":[190],"precision.":[193],"Extensive":[194],"experimentation":[195],"performed":[198],"both":[200],"synthetic":[201],"real":[203,224],"input":[204],"datasets.":[205],"Synthetic":[206],"datasets":[207,219],"were":[208],"generated":[209],"uniform":[211],"skewed":[213],"distributions,":[214],"various":[216,246],"metrics.":[217],"Real":[218],"have":[220],"extrapolated":[222],"world":[225],"official":[226],"databases":[227],"available":[228],"web.":[231],"Successful":[232],"results":[233],"reported":[239],"bioinformatics":[244],"classes":[247],"search":[250],"queries.":[251]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}