{"id":"https://openalex.org/W4385437517","doi":"https://doi.org/10.1145/3594805.3607129","title":"Partition Crossover can Linearize Local Optima Lattices of k-bounded Pseudo-Boolean Functions","display_name":"Partition Crossover can Linearize Local Optima Lattices of k-bounded Pseudo-Boolean Functions","publication_year":2023,"publication_date":"2023-07-31","ids":{"openalex":"https://openalex.org/W4385437517","doi":"https://doi.org/10.1145/3594805.3607129"},"language":"en","primary_location":{"id":"doi:10.1145/3594805.3607129","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3594805.3607129","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 17th ACM/SIGEVO Conference on Foundations of Genetic Algorithms","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/A5001932161","display_name":"Darrell Whitley","orcid":"https://orcid.org/0000-0002-2752-6534"},"institutions":[{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Darrell Whitley","raw_affiliation_strings":["Colorado State University, Fort Collins, Colorado, USA"],"affiliations":[{"raw_affiliation_string":"Colorado State University, Fort Collins, Colorado, USA","institution_ids":["https://openalex.org/I92446798"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090624529","display_name":"Gabriela Ochoa","orcid":"https://orcid.org/0000-0001-7649-5669"},"institutions":[{"id":"https://openalex.org/I12093191","display_name":"University of Stirling","ror":"https://ror.org/045wgfr59","country_code":"GB","type":"education","lineage":["https://openalex.org/I12093191"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Gabriela Ochoa","raw_affiliation_strings":["University of Stirling, Stirling, Scotland, UK"],"affiliations":[{"raw_affiliation_string":"University of Stirling, Stirling, Scotland, UK","institution_ids":["https://openalex.org/I12093191"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059074668","display_name":"Francisco Chicano","orcid":"https://orcid.org/0000-0003-1259-2990"},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Francisco Chicano","raw_affiliation_strings":["ITIS Software, Universidad de M\u00e1laga, M\u00e1laga, Spain"],"affiliations":[{"raw_affiliation_string":"ITIS Software, Universidad de M\u00e1laga, M\u00e1laga, Spain","institution_ids":["https://openalex.org/I82767444"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5001932161"],"corresponding_institution_ids":["https://openalex.org/I92446798"],"apc_list":null,"apc_paid":null,"fwci":0.8033,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.76153718,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"152","last_page":"162"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.998199999332428,"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"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.998199999332428,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9966999888420105,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9944000244140625,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/local-optimum","display_name":"Local optimum","score":0.7940027117729187},{"id":"https://openalex.org/keywords/crossover","display_name":"Crossover","score":0.7355188131332397},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.6209334135055542},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5887120366096497},{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.5851967334747314},{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.5668632984161377},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5535767078399658},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4661238193511963},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.42080527544021606},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34126386046409607},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2914700508117676},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08890268206596375},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08772838115692139}],"concepts":[{"id":"https://openalex.org/C141934464","wikidata":"https://www.wikidata.org/wiki/Q3305386","display_name":"Local optimum","level":2,"score":0.7940027117729187},{"id":"https://openalex.org/C122507166","wikidata":"https://www.wikidata.org/wiki/Q628906","display_name":"Crossover","level":2,"score":0.7355188131332397},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6209334135055542},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5887120366096497},{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.5851967334747314},{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.5668632984161377},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5535767078399658},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4661238193511963},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.42080527544021606},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34126386046409607},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2914700508117676},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08890268206596375},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08772838115692139}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3594805.3607129","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3594805.3607129","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 17th ACM/SIGEVO Conference on Foundations of Genetic Algorithms","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":7,"referenced_works":["https://openalex.org/W1966432511","https://openalex.org/W1984164255","https://openalex.org/W2013383435","https://openalex.org/W2017708378","https://openalex.org/W2032431794","https://openalex.org/W2072262316","https://openalex.org/W2074078071"],"related_works":["https://openalex.org/W2369655046","https://openalex.org/W2019467317","https://openalex.org/W1585519779","https://openalex.org/W2347477706","https://openalex.org/W1943663474","https://openalex.org/W4299389082","https://openalex.org/W1965515989","https://openalex.org/W4286907761","https://openalex.org/W2213934937","https://openalex.org/W3022636680"],"abstract_inverted_index":{"When":[0,53,75],"Partition":[1,57,79],"Crossover":[2,58,80],"is":[3,59,90],"used":[4],"to":[5,134,152,156,175,190],"recombine":[6],"two":[7,27],"parents":[8],"which":[9],"are":[10,15],"local":[11,17,61,85,100,141,182],"optima,":[12,183],"the":[13,20,26,43,64,68,87,95,98,136],"offspring":[14,30,44],"all":[16,41,109],"optima":[18,142],"in":[19,63,173,195],"smallest":[21],"hyperplane":[22],"subspace":[23],"that":[24,167,179],"contains":[25],"parents.":[28],"The":[29],"can":[31,45,81,168],"also":[32,162],"be":[33,46,82],"organized":[34],"into":[35],"a":[36,49,54,60,76,130,147],"non-planar":[37],"hypercube":[38],"\"lattice.\"":[39],"Furthermore,":[40],"of":[42,56,78,97,140,149],"evaluated":[47],"using":[48,197],"simple":[50],"linear":[51,69,88,127],"equation.":[52],"child":[55,77],"optimum":[62,101],"full":[65],"search":[66],"space,":[67],"equation":[70,89],"exactly":[71],"determines":[72],"its":[73],"evaluation.":[74],"improved":[83],"by":[84],"search,":[86],"an":[91,187],"upper":[92],"bound":[93],"on":[94],"evaluation":[96],"associated":[99],"when":[102],"minimizing.":[103],"This":[104],"theoretical":[105,159],"result":[106],"holds":[107],"for":[108],"k-bounded":[110],"Pseudo-Boolean":[111],"optimization":[112],"problems,":[113,117],"including":[114],"MAX-kSAT,":[115],"QUBO":[116],"as":[118,120,133],"well":[119],"random":[121],"and":[122,184],"adjacent":[123],"NK":[124,150],"landscapes.":[125],"These":[126],"equations":[128],"provide":[129],"stronger":[131],"explanation":[132],"why":[135],"\"Big":[137],"Valley\"":[138],"distribution":[139],"exists.":[143],"We":[144,161],"fully":[145],"enumerate":[146],"sample":[148],"landscapes":[151],"collect":[153],"frequency":[154],"information":[155],"complement":[157],"our":[158],"results.":[160],"introduce":[163,186],"new":[164,192],"algorithmic":[165],"contributions":[166],"1)":[169],"expand":[170],"smaller":[171],"lattices":[172,178,196],"order":[174],"find":[176,191],"larger":[177],"contain":[180],"additional":[181],"2)":[185],"efficient":[188],"method":[189],"improving":[193],"moves":[194],"score":[198],"vectors.":[199]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2}],"updated_date":"2026-03-18T14:38:29.013473","created_date":"2025-10-10T00:00:00"}