{"id":"https://openalex.org/W2928782148","doi":"https://doi.org/10.4230/lipics.approx/random.2020.54","title":"Parametrized Metrical Task Systems","display_name":"Parametrized Metrical Task Systems","publication_year":2019,"publication_date":"2019-04-08","ids":{"openalex":"https://openalex.org/W2928782148","doi":"https://doi.org/10.4230/lipics.approx/random.2020.54","mag":"2928782148"},"language":"en","primary_location":{"id":"pmh:oai:drops-oai.dagstuhl.de:12657","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.APPROX/RANDOM.2020.54","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"InProceedings"},"type":"article","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.APPROX/RANDOM.2020.54","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021842384","display_name":"S\u00e9bastien Bubeck","orcid":"https://orcid.org/0000-0001-9122-4410"},"institutions":[{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]},{"id":"https://openalex.org/I4210164937","display_name":"Microsoft Research (United Kingdom)","ror":"https://ror.org/05k87vq12","country_code":"GB","type":"company","lineage":["https://openalex.org/I1290206253","https://openalex.org/I4210164937"]}],"countries":["GB","US"],"is_corresponding":false,"raw_author_name":"Bubeck, S\u00e9bastien","raw_affiliation_strings":["Microsoft Research, Redmond, WA, USA","(Microsoft)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Microsoft Research, Redmond, WA, USA","institution_ids":["https://openalex.org/I1290206253"]},{"raw_affiliation_string":"(Microsoft)","institution_ids":["https://openalex.org/I4210164937"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010842984","display_name":"Yuval Rabani","orcid":"https://orcid.org/0000-0001-7772-2544"},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Rabani, Yuval","raw_affiliation_strings":["Hebrew University of Jerusalem, Israel","[Hebrew university of Jerusalem]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hebrew University of Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]},{"raw_affiliation_string":"[Hebrew university of Jerusalem]","institution_ids":["https://openalex.org/I197251160"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1559,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.56609413,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":1.0,"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":1.0,"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/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11478","display_name":"Caching and Content Delivery","score":0.9860000014305115,"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/randomized-algorithm","display_name":"Randomized algorithm","score":0.5767983198165894},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5752900242805481},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5498400926589966},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.5261054635047913},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4630335569381714},{"id":"https://openalex.org/keywords/intuition","display_name":"Intuition","score":0.4602798819541931},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.4146435260772705},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38515716791152954},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3684765100479126},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3670296370983124},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3236806392669678}],"concepts":[{"id":"https://openalex.org/C128669082","wikidata":"https://www.wikidata.org/wiki/Q583461","display_name":"Randomized algorithm","level":2,"score":0.5767983198165894},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5752900242805481},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5498400926589966},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.5261054635047913},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4630335569381714},{"id":"https://openalex.org/C132010649","wikidata":"https://www.wikidata.org/wiki/Q189222","display_name":"Intuition","level":2,"score":0.4602798819541931},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.4146435260772705},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38515716791152954},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3684765100479126},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3670296370983124},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3236806392669678},{"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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"pmh:oai:drops-oai.dagstuhl.de:12657","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.APPROX/RANDOM.2020.54","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"InProceedings"},{"id":"pmh:oai:arXiv.org:1904.03874","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1904.03874","pdf_url":"https://arxiv.org/pdf/1904.03874","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:2928782148","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1904.03874","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":"doi:10.48550/arxiv.1904.03874","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1904.03874","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":"Preprint"},{"id":"doi:10.4230/lipics.approx/random.2020.54","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.approx/random.2020.54","pdf_url":null,"source":{"id":"https://openalex.org/S7407052059","display_name":"Dagstuhl Research Online Publication Server","issn_l":null,"issn":null,"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":"ConferencePaper"}],"best_oa_location":{"id":"pmh:oai:drops-oai.dagstuhl.de:12657","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.APPROX/RANDOM.2020.54","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"InProceedings"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1538209031","https://openalex.org/W1543614321","https://openalex.org/W1692647764","https://openalex.org/W1966160207","https://openalex.org/W1977894976","https://openalex.org/W1979235091","https://openalex.org/W1980328303","https://openalex.org/W1980418981","https://openalex.org/W1980712336","https://openalex.org/W1986829372","https://openalex.org/W1990636890","https://openalex.org/W2011845369","https://openalex.org/W2019729116","https://openalex.org/W2041645394","https://openalex.org/W2054033098","https://openalex.org/W2056094739","https://openalex.org/W2058154701","https://openalex.org/W2062780596","https://openalex.org/W2082099352","https://openalex.org/W2082353536","https://openalex.org/W2112204502","https://openalex.org/W2114493937","https://openalex.org/W2114538202","https://openalex.org/W2120096103","https://openalex.org/W2120872275","https://openalex.org/W2150495379","https://openalex.org/W2156886733","https://openalex.org/W2161029651","https://openalex.org/W2962967515","https://openalex.org/W3136803825"],"related_works":["https://openalex.org/W2896699843","https://openalex.org/W2943098455","https://openalex.org/W2549250591","https://openalex.org/W1980901787","https://openalex.org/W1694110330","https://openalex.org/W2360215740","https://openalex.org/W3121234166","https://openalex.org/W110565014","https://openalex.org/W2962778597","https://openalex.org/W2027586324","https://openalex.org/W2105789957","https://openalex.org/W3196467332","https://openalex.org/W2896916718","https://openalex.org/W2136289400","https://openalex.org/W1131969746","https://openalex.org/W2115084139","https://openalex.org/W2035350435","https://openalex.org/W2129577701","https://openalex.org/W3120892022","https://openalex.org/W2953159149"],"abstract_inverted_index":{"We":[0,56],"consider":[1],"parametrized":[2],"versions":[3,97],"of":[4,15,25,38,63,98,141,167,201],"metrical":[5,9,51,102,142,202,243],"task":[6,52,103,203,244],"systems":[7,53,144,204],"and":[8,70,82,152,180,227],"service":[10,143],"systems,":[11,104,245],"two":[12],"fundamental":[13],"models":[14],"online":[16],"computing,":[17],"where":[18],"the":[19,23,58,64,95,138,199,231,246,253],"constrained":[20],"parameter":[21,65],"is":[22,90,225,250],"number":[24,166],"possible":[26],"distinct":[27],"requests":[28],"$m$.":[29],"Such":[30],"parametrization":[31],"occurs":[32],"naturally":[33],"in":[34,61,192,198,252],"a":[35,80,173,181],"wide":[36],"range":[37],"applications.":[39],"Striking":[40],"examples":[41],"are":[42,48,217],"certain":[43],"power":[44],"management":[45],"problems,":[46],"which":[47],"modeled":[49,241],"as":[50,197,219,221,242],"with":[54,209],"$m=2$.":[55],"characterize":[57],"competitive":[59,248,255],"ratio":[60,249],"terms":[62],"$m$":[66,158,210],"for":[67,133,157,164,176,184,205,235],"both":[68],"deterministic":[69,108,151,215,254],"randomized":[71,124,153,222,247],"algorithms":[72,109,125,154,216],"on":[73],"hierarchically":[74],"separated":[75],"trees.":[76,135,186],"Our":[77],"findings":[78],"uncover":[79],"rich":[81],"unexpected":[83],"picture":[84],"that":[85,107,191,238],"differs":[86],"substantially":[87],"from":[88],"what":[89],"known":[91],"or":[92],"conjectured":[93],"about":[94],"unparametrized":[96],"these":[99,193],"problems.":[100],"For":[101],"we":[105],"show":[106],"do":[110,126],"not":[111,127],"exhibit":[112,128,155,172],"any":[113,129,165],"asymptotic":[114,130],"gain":[115,131,175,183],"beyond":[116],"one-level":[117,134],"trees":[118],"(namely,":[119],"uniform":[120,177,206],"metric":[121,178,207],"spaces),":[122],"whereas":[123],"even":[132],"In":[136],"contrast,":[137],"special":[139],"case":[140,200],"(subset":[145],"chasing)":[146],"behaves":[147],"very":[148],"differently.":[149],"Both":[150],"gain,":[156],"sufficiently":[159],"small":[160],"compared":[161],"to":[162,230],"$n$,":[163],"levels.":[168],"Most":[169],"significantly,":[170],"they":[171],"large":[174],"spaces":[179,208],"smaller":[182],"two-level":[185],"Moreover,":[187],"it":[188],"turns":[189],"out":[190],"cases":[194],"(as":[195],"well":[196],"being":[211],"an":[212],"absolute":[213],"constant),":[214],"essentially":[218],"powerful":[220],"algorithms.":[223],"This":[224],"surprising":[226],"runs":[228],"counter":[229],"ubiquitous":[232],"intuition/conjecture":[233],"that,":[234],"most":[236],"problems":[237],"can":[239],"be":[240],"polylogarithmic":[251],"ratio.":[256]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
