{"id":"https://openalex.org/W4414360468","doi":"https://doi.org/10.24963/ijcai.2025/433","title":"More Efforts Towards Fixed-Parameter Approximability of Multiwinner Rules","display_name":"More Efforts Towards Fixed-Parameter Approximability of Multiwinner Rules","publication_year":2025,"publication_date":"2025-09-01","ids":{"openalex":"https://openalex.org/W4414360468","doi":"https://doi.org/10.24963/ijcai.2025/433"},"language":"en","primary_location":{"id":"doi:10.24963/ijcai.2025/433","is_oa":false,"landing_page_url":"https://doi.org/10.24963/ijcai.2025/433","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Thirty-Fourth International Joint Conference on Artificial Intelligence","raw_type":"proceedings-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/A5076062797","display_name":"Sushmita Gupta","orcid":"https://orcid.org/0000-0003-1255-8266"},"institutions":[{"id":"https://openalex.org/I4210124601","display_name":"Department of Mathematical Sciences","ror":"https://ror.org/02xkdev90","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210124601"]},{"id":"https://openalex.org/I59611059","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05078rg59","country_code":"IN","type":"facility","lineage":["https://openalex.org/I59611059"]}],"countries":["IN","RU"],"is_corresponding":true,"raw_author_name":"Sushmita Gupta","raw_affiliation_strings":["The Institute of Mathematical Sciences,HBNI"],"affiliations":[{"raw_affiliation_string":"The Institute of Mathematical Sciences,HBNI","institution_ids":["https://openalex.org/I59611059","https://openalex.org/I4210124601"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080656954","display_name":"Pallavi Jain","orcid":"https://orcid.org/0000-0002-1731-8993"},"institutions":[{"id":"https://openalex.org/I154549908","display_name":"Indian Institute of Technology Jodhpur","ror":"https://ror.org/03yacj906","country_code":"IN","type":"education","lineage":["https://openalex.org/I154549908"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Pallavi Jain","raw_affiliation_strings":["Indian Institute of Technology Jodhpur"],"affiliations":[{"raw_affiliation_string":"Indian Institute of Technology Jodhpur","institution_ids":["https://openalex.org/I154549908"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101513139","display_name":"Souvik Saha","orcid":"https://orcid.org/0000-0001-8322-0639"},"institutions":[{"id":"https://openalex.org/I4210124601","display_name":"Department of Mathematical Sciences","ror":"https://ror.org/02xkdev90","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210124601"]},{"id":"https://openalex.org/I59611059","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05078rg59","country_code":"IN","type":"facility","lineage":["https://openalex.org/I59611059"]}],"countries":["IN","RU"],"is_corresponding":false,"raw_author_name":"Souvik Saha","raw_affiliation_strings":["The Institute of Mathematical Sciences,HBNI"],"affiliations":[{"raw_affiliation_string":"The Institute of Mathematical Sciences,HBNI","institution_ids":["https://openalex.org/I59611059","https://openalex.org/I4210124601"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015806060","display_name":"Saket Saurabh","orcid":"https://orcid.org/0000-0001-7847-6402"},"institutions":[{"id":"https://openalex.org/I4210124601","display_name":"Department of Mathematical Sciences","ror":"https://ror.org/02xkdev90","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210124601"]},{"id":"https://openalex.org/I59611059","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05078rg59","country_code":"IN","type":"facility","lineage":["https://openalex.org/I59611059"]}],"countries":["IN","RU"],"is_corresponding":false,"raw_author_name":"Saket Saurabh","raw_affiliation_strings":["The Institute of Mathematical Sciences,HBNI"],"affiliations":[{"raw_affiliation_string":"The Institute of Mathematical Sciences,HBNI","institution_ids":["https://openalex.org/I59611059","https://openalex.org/I4210124601"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078823571","display_name":"Anannya Upasana","orcid":null},"institutions":[{"id":"https://openalex.org/I59611059","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05078rg59","country_code":"IN","type":"facility","lineage":["https://openalex.org/I59611059"]},{"id":"https://openalex.org/I4210124601","display_name":"Department of Mathematical Sciences","ror":"https://ror.org/02xkdev90","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210124601"]}],"countries":["IN","RU"],"is_corresponding":false,"raw_author_name":"Anannya Upasana","raw_affiliation_strings":["The Institute of Mathematical Sciences,HBNI"],"affiliations":[{"raw_affiliation_string":"The Institute of Mathematical Sciences,HBNI","institution_ids":["https://openalex.org/I59611059","https://openalex.org/I4210124601"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5076062797"],"corresponding_institution_ids":["https://openalex.org/I4210124601","https://openalex.org/I59611059"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14001966,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3891","last_page":"3899"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.47189998626708984,"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"}},"topics":[{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.47189998626708984,"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"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.451200008392334,"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/parameterized-complexity","display_name":"Parameterized complexity","score":0.7919999957084656},{"id":"https://openalex.org/keywords/submodular-set-function","display_name":"Submodular set function","score":0.6309999823570251},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5789999961853027},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5575000047683716},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.5271999835968018},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.5103999972343445},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.48019999265670776},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4212000072002411}],"concepts":[{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.7919999957084656},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6574000120162964},{"id":"https://openalex.org/C178621042","wikidata":"https://www.wikidata.org/wiki/Q7631710","display_name":"Submodular set function","level":2,"score":0.6309999823570251},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5789999961853027},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5575000047683716},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.5271999835968018},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5103999972343445},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.48019999265670776},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43700000643730164},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4212000072002411},{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.39489999413490295},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36469998955726624},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.33869999647140503},{"id":"https://openalex.org/C15312841","wikidata":"https://www.wikidata.org/wiki/Q1657198","display_name":"Set function","level":3,"score":0.3375999927520752},{"id":"https://openalex.org/C100808899","wikidata":"https://www.wikidata.org/wiki/Q1192100","display_name":"Set cover problem","level":3,"score":0.32839998602867126},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3224000036716461},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.29190000891685486},{"id":"https://openalex.org/C34736171","wikidata":"https://www.wikidata.org/wiki/Q918333","display_name":"Preprocessor","level":2,"score":0.2883000075817108},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.2750999927520752},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.2685000002384186},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.26829999685287476},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26820001006126404},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.2671000063419342},{"id":"https://openalex.org/C165021410","wikidata":"https://www.wikidata.org/wiki/Q55564","display_name":"Lossy compression","level":2,"score":0.26269999146461487},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2590000033378601},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.25209999084472656}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.24963/ijcai.2025/433","is_oa":false,"landing_page_url":"https://doi.org/10.24963/ijcai.2025/433","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Thirty-Fourth International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Multiwinner":[0],"Elections":[1],"have":[2],"emerged":[3],"as":[4,66,214],"a":[5,15,20,26,34,46,128,168],"prominent":[6],"area":[7],"of":[8,17,22,28,33,44,97,117,138,149,203],"research":[9],"with":[10,61,210],"numerous":[11],"practical":[12],"applications.":[13],"Given":[14],"set":[16,21,32,99,137,152],"candidates,":[18],"C,":[19],"voters,":[23],"V,":[24],"approving":[25],"subset":[27],"candidates":[29],"(called":[30],"approval":[31,98,119,151],"voter),":[35],"and":[36,85,90,121,173,197],"an":[37,104,176,192,221],"integer":[38],"k,":[39],"we":[40,126,163,190],"consider":[41,127],"the":[42,95,113,118,135,147,150,183,200,204,207,211,215],"problem":[43,53,205],"selecting":[45],"``good''":[47],"committee":[48,178],"using":[49],"Thiele":[50,59],"rules.":[51],"This":[52],"is":[54,68,100,143],"computationally":[55],"challenging":[56],"for":[57,79],"most":[58],"rules":[60],"monotone":[62],"submodular":[63],"satisfaction":[64],"functions,":[65],"there":[67],"no":[69,91],"(1-1/e-":[70],"epsilon)":[71],"approximation":[72,105,166],"algorithm":[73],"in":[74,108],"f(k)(|C|":[75],"+":[76],"|V|)^(o(k))":[77],"time":[78,110],"any":[80,86],"fixed":[81],"epsilon":[82],">":[83],"0":[84],"computable":[87],"function":[88],"f,":[89],"PTAS":[92],"even":[93],"when":[94],"length":[96],"two.":[101],"Skowron":[102],"designed":[103],"scheme":[106],"running":[107],"FPT":[109,222],"parameterized":[111,165],"by":[112,146,195],"combined":[114],"parameter,":[115,162,216],"size":[116,148],"set,":[120],"k.":[122],"In":[123],"this":[124,161],"paper,":[125],"parameter":[129],"d+k":[130],"(no":[131],"d":[132,139,142],"voters":[133],"approve":[134],"same":[136],"candidates),":[140],"where":[141],"upper":[144],"bounded":[145],"(thus,":[153],"can":[154],"be":[155],"much":[156],"smaller).":[157],"With":[158],"respect":[159],"to":[160,181],"design":[164],"schemes,":[167],"lossy":[169],"polynomial-time":[170],"preprocessing":[171],"method,":[172],"show":[174],"that":[175,218],"extra":[177],"member":[179],"suffices":[180],"achieve":[182],"desired":[184],"score":[185,213],"(i.e.,":[186],"1-additive":[187],"approximation).":[188],"Additionally,":[189],"resolve":[191],"open":[193],"question":[194],"Yang":[196],"Wang":[198],"regarding":[199],"fixed-parameter":[201],"tractability":[202],"under":[206],"PAV":[208],"rule":[209],"total":[212],"demonstrating":[217],"it":[219],"admits":[220],"algorithm.":[223]},"counts_by_year":[],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-10-10T00:00:00"}