{"id":"https://openalex.org/W2799747871","doi":"https://doi.org/10.1145/3338513","title":"Generalized Center Problems with Outliers","display_name":"Generalized Center Problems with Outliers","publication_year":2019,"publication_date":"2019-07-08","ids":{"openalex":"https://openalex.org/W2799747871","doi":"https://doi.org/10.1145/3338513","mag":"2799747871"},"language":"en","primary_location":{"id":"doi:10.1145/3338513","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3338513","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1805.02217","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069364300","display_name":"Deeparnab Chakrabarty","orcid":"https://orcid.org/0000-0001-7596-6035"},"institutions":[{"id":"https://openalex.org/I107672454","display_name":"Dartmouth College","ror":"https://ror.org/049s0rh22","country_code":"US","type":"education","lineage":["https://openalex.org/I107672454"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Deeparnab Chakrabarty","raw_affiliation_strings":["Dartmouth College, NH, USA","Dartmouth College , NH, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dartmouth College, NH, USA","institution_ids":["https://openalex.org/I107672454"]},{"raw_affiliation_string":"Dartmouth College , NH, USA","institution_ids":["https://openalex.org/I107672454"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048904623","display_name":"Maryam Negahbani","orcid":null},"institutions":[{"id":"https://openalex.org/I107672454","display_name":"Dartmouth College","ror":"https://ror.org/049s0rh22","country_code":"US","type":"education","lineage":["https://openalex.org/I107672454"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Maryam Negahbani","raw_affiliation_strings":["Dartmouth College, NH, USA","Dartmouth College , NH, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dartmouth College, NH, USA","institution_ids":["https://openalex.org/I107672454"]},{"raw_affiliation_string":"Dartmouth College , NH, USA","institution_ids":["https://openalex.org/I107672454"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5069364300"],"corresponding_institution_ids":["https://openalex.org/I107672454"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00443942,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"3","first_page":"1","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11502","display_name":"Facility Location and Emergency Management","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11502","display_name":"Facility Location and Emergency Management","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9919999837875366,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.972599983215332,"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/knapsack-problem","display_name":"Knapsack problem","score":0.7803958654403687},{"id":"https://openalex.org/keywords/center","display_name":"Center (category theory)","score":0.7657396793365479},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7147476077079773},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6502904891967773},{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.6349890232086182},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5836416482925415},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.5290730595588684},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.5263432264328003},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.5085946321487427},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4918806552886963},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.4660768508911133},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4594302177429199},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18998676538467407},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11847138404846191},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06651806831359863}],"concepts":[{"id":"https://openalex.org/C113138325","wikidata":"https://www.wikidata.org/wiki/Q864457","display_name":"Knapsack problem","level":2,"score":0.7803958654403687},{"id":"https://openalex.org/C2779463800","wikidata":"https://www.wikidata.org/wiki/Q5062222","display_name":"Center (category theory)","level":2,"score":0.7657396793365479},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7147476077079773},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6502904891967773},{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.6349890232086182},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5836416482925415},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5290730595588684},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.5263432264328003},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.5085946321487427},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4918806552886963},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4660768508911133},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4594302177429199},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18998676538467407},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11847138404846191},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06651806831359863},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1145/3338513","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3338513","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"},{"id":"pmh:oai:arXiv.org:1805.02217","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.02217","pdf_url":"https://arxiv.org/pdf/1805.02217","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2799747871","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1805.02217v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:drops-oai.dagstuhl.de:9034","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2018.30","pdf_url":null,"source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"InProceedings"},{"id":"doi:10.48550/arxiv.1805.02217","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1805.02217","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"doi:10.4230/lipics.icalp.2018.30","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.icalp.2018.30","pdf_url":null,"source":{"id":"https://openalex.org/S7407052059","display_name":"Dagstuhl Research Online Publication Server","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":""}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1805.02217","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.02217","pdf_url":"https://arxiv.org/pdf/1805.02217","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1623845008","https://openalex.org/W1704031218","https://openalex.org/W1973264045","https://openalex.org/W1981234161","https://openalex.org/W1983197449","https://openalex.org/W1984628625","https://openalex.org/W1988698339","https://openalex.org/W1991979416","https://openalex.org/W2040155008","https://openalex.org/W2044028871","https://openalex.org/W2069845605","https://openalex.org/W2073583237","https://openalex.org/W2079828065","https://openalex.org/W2083246371","https://openalex.org/W2102750402","https://openalex.org/W2104399828","https://openalex.org/W2105773506","https://openalex.org/W2127859636","https://openalex.org/W2556333573","https://openalex.org/W2749884410"],"related_works":["https://openalex.org/W2963240304","https://openalex.org/W2963988193","https://openalex.org/W2963243605","https://openalex.org/W2185494895","https://openalex.org/W2013884391","https://openalex.org/W3006185228","https://openalex.org/W2803914036","https://openalex.org/W1620816389","https://openalex.org/W2755156293","https://openalex.org/W3006151793","https://openalex.org/W2081914349","https://openalex.org/W2907869754","https://openalex.org/W3042461818","https://openalex.org/W88909337","https://openalex.org/W3177317318","https://openalex.org/W2952264269","https://openalex.org/W2089784543","https://openalex.org/W1634583450","https://openalex.org/W2982434099","https://openalex.org/W2990751722"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,44,48,76,112],"\u2131-center":[3,77],"problem":[4,78,115],"with":[5,79,116],"outliers:":[6],"Given":[7],"a":[8,16,27,35,62,89,97,107],"metric":[9],"space":[10],"(":[11],"X":[12,24,53],",":[13,25,30],"d":[14],"),":[15],"general":[17],"down-closed":[18],"family":[19],"\u2131":[20,39,94],"of":[21,23,40,103],"subsets":[22],"and":[26,82],"parameter":[28],"m":[29,50],"we":[31,67,85],"need":[32],"to":[33,54,96],"locate":[34],"subset":[36],"S":[37,55],"\u2208":[38],"centers":[41],"such":[42],"that":[43,69],"maximum":[45],"distance":[46],"among":[47],"closest":[49],"points":[51],"in":[52],"is":[56,61,71,106],"minimized.":[57],"Our":[58],"main":[59],"result":[60,105],"dichotomy":[63],"theorem":[64],".":[65],"Colloquially,":[66],"prove":[68],"there":[70],"an":[72],"efficient":[73],"3-approximation":[74,110],"for":[75,111,118],"outliers":[80,117],"if":[81,84],"only":[83],"can":[86],"efficiently":[87],"optimize":[88],"poly-bounded":[90],"linear":[91],"function":[92],"over":[93],"subject":[95],"partition":[98],"constraint.":[99],"One":[100],"concrete":[101],"upshot":[102],"our":[104],"polynomial":[108],"time":[109],"knapsack":[113],"center":[114],"which":[119],"no":[120],"(true)":[121],"approximation":[122],"algorithm":[123],"was":[124],"known.":[125]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
