{"id":"https://openalex.org/W2075100187","doi":"https://doi.org/10.1145/2213977.2214016","title":"Improved smoothed analysis of multiobjective optimization","display_name":"Improved smoothed analysis of multiobjective optimization","publication_year":2012,"publication_date":"2012-05-19","ids":{"openalex":"https://openalex.org/W2075100187","doi":"https://doi.org/10.1145/2213977.2214016","mag":"2075100187"},"language":"en","primary_location":{"id":"doi:10.1145/2213977.2214016","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2213977.2214016","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the forty-fourth annual ACM symposium on Theory of computing","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/A5082676353","display_name":"Tobias Brunsch","orcid":null},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Tobias Brunsch","raw_affiliation_strings":["University of Bonn, Bonn, Germany"],"affiliations":[{"raw_affiliation_string":"University of Bonn, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034122679","display_name":"Heiko R\u00f6glin","orcid":"https://orcid.org/0009-0006-8438-3986"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Heiko R\u00f6glin","raw_affiliation_strings":["University of Bonn, Bonn, Germany"],"affiliations":[{"raw_affiliation_string":"University of Bonn, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082676353"],"corresponding_institution_ids":["https://openalex.org/I135140700"],"apc_list":null,"apc_paid":null,"fwci":5.4784,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.95177942,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"407","last_page":"426"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9836999773979187,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9629999995231628,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6093162298202515},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.4684063792228699},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4337669014930725},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22863230109214783},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.06376242637634277}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6093162298202515},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.4684063792228699},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4337669014930725},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22863230109214783},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.06376242637634277}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2213977.2214016","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2213977.2214016","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the forty-fourth annual ACM symposium on Theory of computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W119169328","https://openalex.org/W1480622933","https://openalex.org/W1581152859","https://openalex.org/W1799626923","https://openalex.org/W1817061570","https://openalex.org/W1982562599","https://openalex.org/W2007458506","https://openalex.org/W2034053794","https://openalex.org/W2038022125","https://openalex.org/W2062417951","https://openalex.org/W2098712873","https://openalex.org/W2099466544","https://openalex.org/W2104021948","https://openalex.org/W2114681551","https://openalex.org/W2128063156","https://openalex.org/W2170078634","https://openalex.org/W2615258659","https://openalex.org/W2952458729","https://openalex.org/W3022308742","https://openalex.org/W3029201735","https://openalex.org/W4237642752"],"related_works":["https://openalex.org/W4318426920","https://openalex.org/W2055791821","https://openalex.org/W2153873031","https://openalex.org/W570431388","https://openalex.org/W2637862190","https://openalex.org/W2611723089","https://openalex.org/W2337862504","https://openalex.org/W3082547637","https://openalex.org/W1994436307","https://openalex.org/W2164920121"],"abstract_inverted_index":{"We":[0,36,59],"present":[1],"several":[2],"new":[3],"results":[4],"about":[5],"smoothed":[6,68,94,120,131,151,169],"analysis":[7,18,121,152],"of":[8,24,30,56,70,92,96,125,133,147,163,171],"multiobjective":[9],"optimization":[10],"problems.":[11],"Motivated":[12],"by":[13,101,127,150],"the":[14,33,61,67,78,89,93,105,114,117,123,130,145,168],"discrepancy":[15],"between":[16],"worst-case":[17],"and":[19,43,153],"practical":[20],"experience,":[21],"this":[22],"line":[23],"research":[25],"has":[26,155],"gained":[27],"a":[28,53],"lot":[29],"attention":[31],"in":[32,39,119],"last":[34],"decade.":[35],"consider":[37],"problems":[38,126,148],"which":[40],"d":[41],"linear":[42],"one":[44],"arbitrary":[45],"objective":[46,159,179],"function":[47],"are":[48],"to":[49,73],"be":[50],"optimized":[51],"over":[52],"set":[54],"S\u2286{0,1}n":[55],"feasible":[57],"solutions.":[58],"improve":[60],"previously":[62,106],"best":[63,107],"known":[64,108],"bound":[65],"for":[66,85,140,157,177],"number":[69,95,132,170],"Pareto-optimal":[71,97,134,172],"solutions":[72,98,135,173],"O(n2d\u03c6d),":[74],"where":[75],"\u03c6":[76],"denotes":[77],"perturbation":[79],"parameter.":[80],"Additionally,":[81],"we":[82,112],"show":[83],"that":[84,116,129,167],"any":[86],"constant":[87],"c":[88],"c-th":[90],"moment":[91],"is":[99,166,174],"bounded":[100,138,176],"O((n2d\u03c6d)c).":[102],"This":[103,143],"improves":[104],"bounds":[109],"significantly.":[110],"Furthermore,":[111],"address":[113],"criticism":[115],"perturbations":[118],"destroy":[122],"zero-structure":[124],"showing":[128],"remains":[136],"polynomially":[137,175],"even":[139],"zero-preserving":[141],"perturbations.":[142],"broadens":[144],"class":[146],"captured":[149],"it":[154],"consequences":[156],"non-linear":[158],"functions.":[160,180],"One":[161],"corollary":[162],"our":[164],"result":[165],"polynomial":[178]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}