{"id":"https://openalex.org/W4403487170","doi":"https://doi.org/10.3233/faia240884","title":"Scale-Invariant Variations of Max Regret","display_name":"Scale-Invariant Variations of Max Regret","publication_year":2024,"publication_date":"2024-10-16","ids":{"openalex":"https://openalex.org/W4403487170","doi":"https://doi.org/10.3233/faia240884"},"language":"en","primary_location":{"id":"doi:10.3233/faia240884","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia240884","pdf_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA240884","source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA240884","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082652760","display_name":"Nic Wilson","orcid":"https://orcid.org/0000-0003-1874-8255"},"institutions":[{"id":"https://openalex.org/I27577105","display_name":"University College Cork","ror":"https://ror.org/03265fv13","country_code":"IE","type":"education","lineage":["https://openalex.org/I27577105"]}],"countries":["IE"],"is_corresponding":true,"raw_author_name":"Nic Wilson","raw_affiliation_strings":["Insight Centre, School CS and IT, University College Cork, Ireland"],"affiliations":[{"raw_affiliation_string":"Insight Centre, School CS and IT, University College Cork, Ireland","institution_ids":["https://openalex.org/I27577105"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5082652760"],"corresponding_institution_ids":["https://openalex.org/I27577105"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.51175407,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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/T10136","display_name":"Statistical Methods and Inference","score":0.508400022983551,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.508400022983551,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.48500001430511475,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.46000000834465027,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/regret","display_name":"Regret","score":0.860331654548645},{"id":"https://openalex.org/keywords/scale-invariance","display_name":"Scale invariance","score":0.5458784699440002},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5286075472831726},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4587562084197998},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.45181092619895935},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.3508697748184204},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.34740781784057617},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3205038905143738},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.20274516940116882},{"id":"https://openalex.org/keywords/cartography","display_name":"Cartography","score":0.16004064679145813},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.0827627182006836}],"concepts":[{"id":"https://openalex.org/C50817715","wikidata":"https://www.wikidata.org/wiki/Q79895177","display_name":"Regret","level":2,"score":0.860331654548645},{"id":"https://openalex.org/C135593079","wikidata":"https://www.wikidata.org/wiki/Q1750766","display_name":"Scale invariance","level":2,"score":0.5458784699440002},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5286075472831726},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4587562084197998},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.45181092619895935},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3508697748184204},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.34740781784057617},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3205038905143738},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.20274516940116882},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.16004064679145813},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0827627182006836}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/faia240884","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia240884","pdf_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA240884","source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.3233/faia240884","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia240884","pdf_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA240884","source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.5}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4403487170.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2971351794","https://openalex.org/W4376155396","https://openalex.org/W1947085858","https://openalex.org/W2174986909","https://openalex.org/W2527791220","https://openalex.org/W2101991911","https://openalex.org/W2097033632","https://openalex.org/W2021670453","https://openalex.org/W2021783512","https://openalex.org/W2334047832"],"abstract_inverted_index":{"Max":[0],"regret":[1,80,104,125,159],"is":[2,9,29,35,113,138],"frequently":[3],"used,":[4],"in":[5,16,37,54,126],"situations":[6],"when":[7],"there":[8],"uncertainty":[10],"about":[11],"a":[12,17,22,38,42,45,50,82,134,141,144],"user":[13,67,136],"preference":[14,68],"model":[15],"multi-objective":[18],"optimisation":[19],"problem,":[20],"as":[21,161],"measure":[23],"of":[24,57,75,93,102,111,123,130,146,157],"how":[25,171],"close":[26],"an":[27,131],"alternative":[28,132],"to":[30,151],"being":[31],"necessarily":[32],"optimal.":[33],"It":[34],"used":[36,180],"termination":[39],"condition":[40],"for":[41,48,181],"dialogue":[43],"with":[44,165],"user,":[46],"and":[47,53,153,174],"recommending":[49],"compromise":[51],"solution,":[52],"different":[55],"ways":[56],"generating":[58],"informative":[59],"queries.":[60],"In":[61,117],"this":[62,118],"paper":[63,119],"we":[64,120],"consider":[65],"linear":[66,91,172],"models":[69],"based":[70],"on":[71],"simple":[72],"weighted":[73],"sums":[74],"the":[76,87,90,94,99,109,128],"objectives.":[77],"Unfortunately,":[78],"max":[79,103,124,158,166],"lacks":[81],"desirable":[83],"scale-invariance":[84],"property:":[85],"changing":[86],"units":[88,112],"(or":[89],"scaling)":[92],"objectives":[95],"can":[96,178],"significantly":[97],"alter":[98],"relative":[100,167],"values":[101],"between":[105],"alternatives,":[106],"even":[107],"though":[108],"choice":[110],"often":[114],"somewhat":[115],"arbitrary.":[116],"define":[121],"variations":[122],"which":[127],"regret,":[129],"given":[133],"particular":[135],"model,":[137],"divided":[139],"by":[140],"function":[142],"expressing":[143],"range":[145],"utility":[147],"values.":[148],"This":[149],"leads":[150],"scale-invariance,":[152],"maintains":[154],"important":[155],"properties":[156],"such":[160],"translation-invariance":[162],"(in":[163],"contrast":[164],"regret).":[168],"We":[169],"show":[170],"programming":[173],"extreme":[175],"points":[176],"algorithms":[177],"be":[179],"computation.":[182]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}