{"id":"https://openalex.org/W7160968450","doi":"https://doi.org/10.4230/lipics.esa.2026.106","title":"Instance Optimal and Universally Optimal Bounds for Imprecise Pareto Fronts","display_name":"Instance Optimal and Universally Optimal Bounds for Imprecise Pareto Fronts","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7160968450","doi":"https://doi.org/10.4230/lipics.esa.2026.106"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2605.07523","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2605.07523","pdf_url":"https://arxiv.org/pdf/2605.07523","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2605.07523","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5135971146","display_name":"Sarita de Berg","orcid":null},"institutions":[{"id":"https://openalex.org/I83467386","display_name":"IT University of Copenhagen","ror":"https://ror.org/02309jg23","country_code":"DK","type":"education","lineage":["https://openalex.org/I83467386"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"de Berg, Sarita","raw_affiliation_strings":["Department of Computer Science, IT University of Copenhagen, Denmark"],"raw_orcid":"https://orcid.org/0000-0001-5555-966X","affiliations":[{"raw_affiliation_string":"Department of Computer Science, IT University of Copenhagen, Denmark","institution_ids":["https://openalex.org/I83467386"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135915534","display_name":"Nynne Maria Foldager B\u00e6kke","orcid":null},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"B\u00e6kke, Nynne Maria Foldager","raw_affiliation_strings":["Technical University of Denmark, Lyngby, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technical University of Denmark, Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135974333","display_name":"Frida Astrup Eriksen","orcid":null},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Eriksen, Frida Astrup","raw_affiliation_strings":["Technical University of Denmark, Lyngby, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technical University of Denmark, Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135978648","display_name":"Ivor van der Hoog","orcid":null},"institutions":[{"id":"https://openalex.org/I83467386","display_name":"IT University of Copenhagen","ror":"https://ror.org/02309jg23","country_code":"DK","type":"education","lineage":["https://openalex.org/I83467386"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"van der Hoog, Ivor","raw_affiliation_strings":["IT University of Copenhagen, Denmark"],"raw_orcid":"https://orcid.org/0009-0006-2624-0231","affiliations":[{"raw_affiliation_string":"IT University of Copenhagen, Denmark","institution_ids":["https://openalex.org/I83467386"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135952232","display_name":"Eva Rotenberg","orcid":null},"institutions":[{"id":"https://openalex.org/I83467386","display_name":"IT University of Copenhagen","ror":"https://ror.org/02309jg23","country_code":"DK","type":"education","lineage":["https://openalex.org/I83467386"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Rotenberg, Eva","raw_affiliation_strings":["IT University of Copenhagen, Denmark"],"raw_orcid":"https://orcid.org/0000-0001-5853-7909","affiliations":[{"raw_affiliation_string":"IT University of Copenhagen, Denmark","institution_ids":["https://openalex.org/I83467386"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021826063","display_name":"Daniel Rutschmann","orcid":"https://orcid.org/0009-0005-6838-2628"},"institutions":[{"id":"https://openalex.org/I157556583","display_name":"Institute of Science and Technology Austria","ror":"https://ror.org/03gnh5541","country_code":"AT","type":"education","lineage":["https://openalex.org/I157556583"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Rutschmann, Daniel","raw_affiliation_strings":["Institute of Science and Technology Austria (ISTA), Klosterneuburg, Austria"],"raw_orcid":"https://orcid.org/0009-0005-6838-2628","affiliations":[{"raw_affiliation_string":"Institute of Science and Technology Austria (ISTA), Klosterneuburg, Austria","institution_ids":["https://openalex.org/I157556583"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.5670999884605408,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.5670999884605408,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.1615999937057495,"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"}},{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.06790000200271606,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.6413000226020813},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5810999870300293},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5307000279426575},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.4887000024318695},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.45840001106262207},{"id":"https://openalex.org/keywords/preprocessor","display_name":"Preprocessor","score":0.39980000257492065},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.34769999980926514}],"concepts":[{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.6413000226020813},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5810999870300293},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5781000256538391},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5561000108718872},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5307000279426575},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5145000219345093},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.4887000024318695},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.45840001106262207},{"id":"https://openalex.org/C34736171","wikidata":"https://www.wikidata.org/wiki/Q918333","display_name":"Preprocessor","level":2,"score":0.39980000257492065},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35679998993873596},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.34769999980926514},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.3370000123977661},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.3021000027656555},{"id":"https://openalex.org/C2780876879","wikidata":"https://www.wikidata.org/wiki/Q3054749","display_name":"Meaning (existential)","level":2,"score":0.27559998631477356},{"id":"https://openalex.org/C2986314615","wikidata":"https://www.wikidata.org/wiki/Q36829","display_name":"Pareto optimal","level":3,"score":0.27559998631477356},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.25760000944137573},{"id":"https://openalex.org/C7356347","wikidata":"https://www.wikidata.org/wiki/Q1307838","display_name":"Unit square","level":2,"score":0.2508000135421753}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:arXiv.org:2605.07523","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2605.07523","pdf_url":"https://arxiv.org/pdf/2605.07523","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:doi:10.4230/lipics.esa.2026.106","is_oa":true,"landing_page_url":"https://www.cs.ubc.ca/~will/papers/possiblehull.pdf","pdf_url":"https://www.cs.ubc.ca/~will/papers/possiblehull.pdf","source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"ConferencePaper"},{"id":"doi:10.4230/lipics.esa.2026.106","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.esa.2026.106","pdf_url":null,"source":{"id":"https://openalex.org/S4393917817","display_name":"Leibniz international proceedings in informatics","issn_l":"1868-8969","issn":["1868-8969"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"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:arXiv.org:2605.07523","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2605.07523","pdf_url":"https://arxiv.org/pdf/2605.07523","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320310490","display_name":"Villum Fonden","ror":"https://ror.org/007ww2d15"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7160968450.pdf","grobid_xml":"https://content.openalex.org/works/W7160968450.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"In":[0,64,183],"the":[1,5,33,75,81,88,91,103,115,128,152,177,213,240,281,297,301,306,309,314],"imprecise":[2],"geometry":[3],"model,":[4,66],"input":[6,138,302],"is":[7,26,68,123,142,155,166,190,199,234],"a":[8,19,53,156,180,201,220,266],"family":[9],"of":[10,32,43,77,90,130,179,185,204,242,250,260,311],"regions":[11,149,214,261,303],"F":[12],"=":[13],"(R\u2081,":[14],"R\u2082,":[15],"\u2026,R_n),":[16],"each":[17],"containing":[18],"point":[20,60,274],"p_i":[21,61],"\u2208":[22,62],"R_i.":[23,63],"The":[24],"task":[25],"then":[27],"to":[28,56,99,109,127,150,169,175,215,291,299],"compute":[29,151],"some":[30],"function":[31],"points":[34,98],"p\u2081,p\u2082,\u2026":[35],"p_n,":[36],"in":[37,70,223,239,248],"our":[38,164,294],"case":[39],"an":[40,107,196,231],"implicit":[41,112],"representation":[42,113],"their":[44],"Pareto":[45,116],"front.":[46],"To":[47],"this":[48,65,278],"end,":[49],"one":[50],"may":[51,304],"query":[52,92,100],"region":[54],"R_i":[55],"retrieve":[57],"its":[58],"contained":[59],"efficiency":[67],"interpreted":[69],"two":[71],"ways:":[72],"minimizing":[73],"(i)":[74],"number":[76,129,241,310],"retrievals,":[78,243,312],"and":[79,87,101,313],"(ii)":[80],"computation":[82],"time":[83,270],"both":[84],"for":[85,95,118,135,256,271,286],"preprocessing,":[86],"execution":[89],"stage,":[93],"i.e.":[94],"computing":[96],"which":[97,172,198,211,300],"constructing":[102],"output.":[104,153],"We":[105,193],"present":[106,195,230],"algorithm":[108,144,165,197,232,264,285],"construct":[110],"(an":[111],"of)":[114],"front":[117],"possibly":[119],"overlapping":[120,287],"rectangles,":[121],"that":[122,134,145,163,233,255],"instance-optimal":[124],"with":[125],"respect":[126],"retrievals.":[131],"This":[132,154,207,253],"means":[133,162,254],"every":[136],"fixed":[137,258],"(F,":[139],"P),":[140],"there":[141],"no":[143,263],"retrieves":[146],"asymptotically":[147],"fewer":[148],"strong":[157],"algorithmic":[158,186],"quality,":[159],"as":[160],"it":[161],"competitive":[167],"even":[168],"clairvoyant":[170],"algorithms":[171],"only":[173,219,236],"have":[174],"verify":[176],"correctness":[178],"correct":[181],"guess.":[182],"terms":[184,249],"running":[187,224,251,269,315],"time,":[188,308],"instance-optimality":[189],"provably":[191],"unobtainable.":[192],"instead":[194],"within":[200],"log":[202],"n-factor":[203],"instance":[205,237],"optimality.":[206],"generalizes":[208],"earlier":[209],"results":[210],"assumed":[212],"not":[216,235],"overlap,":[217,305],"at":[218],"minor":[221],"cost":[222],"time.":[225,252,316],"For":[226],"unit":[227],"squares,":[228],"we":[229],"optimal":[238,247,284],"but":[244],"also":[245],"universally":[246,283],"any":[257],"set":[259],"F,":[262],"has":[265],"better":[267],"worst-case":[268],"all":[272],"possible":[273],"sets":[275],"P.":[276],"Thus,":[277],"work":[279],"presents":[280],"first":[282],"planar":[288],"input.":[289],"Compared":[290],"previous":[292],"work,":[293],"result":[295],"improves":[296],"degree":[298],"preprocessing":[307]},"counts_by_year":[],"updated_date":"2026-08-29T07:29:34.045763","created_date":"2026-05-13T00:00:00"}
