{"id":"https://openalex.org/W4288044863","doi":"https://doi.org/10.1145/3512290.3528871","title":"Evolving constructions for balanced, highly nonlinear boolean functions","display_name":"Evolving constructions for balanced, highly nonlinear boolean functions","publication_year":2022,"publication_date":"2022-07-08","ids":{"openalex":"https://openalex.org/W4288044863","doi":"https://doi.org/10.1145/3512290.3528871"},"language":"en","primary_location":{"id":"doi:10.1145/3512290.3528871","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3512290.3528871","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3512290.3528871","source":{"id":"https://openalex.org/S4363608932","display_name":"Proceedings of the Genetic and Evolutionary Computation Conference","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":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Genetic and Evolutionary Computation Conference","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3512290.3528871","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088687711","display_name":"Claude Carlet","orcid":"https://orcid.org/0000-0002-6118-7927"},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":true,"raw_author_name":"Claude Carlet","raw_affiliation_strings":["University of Bergen, Bergen, Norway"],"affiliations":[{"raw_affiliation_string":"University of Bergen, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084199125","display_name":"Marko Djurasevic","orcid":null},"institutions":[{"id":"https://openalex.org/I181343428","display_name":"University of Zagreb","ror":"https://ror.org/00mv6sv71","country_code":"HR","type":"education","lineage":["https://openalex.org/I181343428"]}],"countries":["HR"],"is_corresponding":false,"raw_author_name":"Marko Djurasevic","raw_affiliation_strings":["University of Zagreb, Zagreb, Croatia"],"affiliations":[{"raw_affiliation_string":"University of Zagreb, Zagreb, Croatia","institution_ids":["https://openalex.org/I181343428"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029689278","display_name":"Domagoj Jakobovi\u0107","orcid":"https://orcid.org/0000-0002-9201-2994"},"institutions":[{"id":"https://openalex.org/I181343428","display_name":"University of Zagreb","ror":"https://ror.org/00mv6sv71","country_code":"HR","type":"education","lineage":["https://openalex.org/I181343428"]}],"countries":["HR"],"is_corresponding":false,"raw_author_name":"Domagoj Jakobovic","raw_affiliation_strings":["University of Zagreb, Zagreb, Croatia"],"affiliations":[{"raw_affiliation_string":"University of Zagreb, Zagreb, Croatia","institution_ids":["https://openalex.org/I181343428"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069577574","display_name":"Luca Mariot","orcid":"https://orcid.org/0000-0003-3089-6517"},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Luca Mariot","raw_affiliation_strings":["Radboud University, Nijmegen, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Radboud University, Nijmegen, The Netherlands","institution_ids":["https://openalex.org/I145872427"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024072796","display_name":"Stjepan Picek","orcid":"https://orcid.org/0000-0001-7509-4337"},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Stjepan Picek","raw_affiliation_strings":["Radboud University, Nijmegen, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Radboud University, Nijmegen, The Netherlands","institution_ids":["https://openalex.org/I145872427"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5088687711"],"corresponding_institution_ids":["https://openalex.org/I4432739"],"apc_list":null,"apc_paid":null,"fwci":1.1518,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.80145227,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1147","last_page":"1155"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9937000274658203,"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/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9937000274658203,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9916999936103821,"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/T11178","display_name":"Receptor Mechanisms and Signaling","score":0.9632999897003174,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.8729329109191895},{"id":"https://openalex.org/keywords/maximum-satisfiability-problem","display_name":"Maximum satisfiability problem","score":0.7183119654655457},{"id":"https://openalex.org/keywords/boolean-circuit","display_name":"Boolean circuit","score":0.6622211337089539},{"id":"https://openalex.org/keywords/standard-boolean-model","display_name":"Standard Boolean model","score":0.6331143379211426},{"id":"https://openalex.org/keywords/boolean-expression","display_name":"Boolean expression","score":0.6315745115280151},{"id":"https://openalex.org/keywords/boolean-network","display_name":"Boolean network","score":0.6271529793739319},{"id":"https://openalex.org/keywords/parity-function","display_name":"Parity function","score":0.6171773672103882},{"id":"https://openalex.org/keywords/and-inverter-graph","display_name":"And-inverter graph","score":0.5906318426132202},{"id":"https://openalex.org/keywords/product-term","display_name":"Product term","score":0.5878058671951294},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5377464890480042},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.48394396901130676},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.481094092130661},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.46500739455223083},{"id":"https://openalex.org/keywords/two-element-boolean-algebra","display_name":"Two-element Boolean algebra","score":0.4626828730106354},{"id":"https://openalex.org/keywords/circuit-minimization-for-boolean-functions","display_name":"Circuit minimization for Boolean functions","score":0.46187496185302734},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.44261226058006287},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4152401387691498},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36065375804901123},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.1899850070476532},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.08484300971031189}],"concepts":[{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.8729329109191895},{"id":"https://openalex.org/C111797529","wikidata":"https://www.wikidata.org/wiki/Q17080584","display_name":"Maximum satisfiability problem","level":3,"score":0.7183119654655457},{"id":"https://openalex.org/C141796577","wikidata":"https://www.wikidata.org/wiki/Q837479","display_name":"Boolean circuit","level":3,"score":0.6622211337089539},{"id":"https://openalex.org/C68481662","wikidata":"https://www.wikidata.org/wiki/Q176197","display_name":"Standard Boolean model","level":5,"score":0.6331143379211426},{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.6315745115280151},{"id":"https://openalex.org/C134444547","wikidata":"https://www.wikidata.org/wiki/Q585230","display_name":"Boolean network","level":3,"score":0.6271529793739319},{"id":"https://openalex.org/C188183281","wikidata":"https://www.wikidata.org/wiki/Q2898309","display_name":"Parity function","level":4,"score":0.6171773672103882},{"id":"https://openalex.org/C196836630","wikidata":"https://www.wikidata.org/wiki/Q4753279","display_name":"And-inverter graph","level":4,"score":0.5906318426132202},{"id":"https://openalex.org/C9429942","wikidata":"https://www.wikidata.org/wiki/Q1781698","display_name":"Product term","level":5,"score":0.5878058671951294},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5377464890480042},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.48394396901130676},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.481094092130661},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.46500739455223083},{"id":"https://openalex.org/C207764348","wikidata":"https://www.wikidata.org/wiki/Q7858706","display_name":"Two-element Boolean algebra","level":4,"score":0.4626828730106354},{"id":"https://openalex.org/C94992772","wikidata":"https://www.wikidata.org/wiki/Q6667469","display_name":"Circuit minimization for Boolean functions","level":4,"score":0.46187496185302734},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.44261226058006287},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4152401387691498},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36065375804901123},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.1899850070476532},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08484300971031189},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C169171071","wikidata":"https://www.wikidata.org/wiki/Q5449241","display_name":"Filtered algebra","level":3,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1145/3512290.3528871","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3512290.3528871","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3512290.3528871","source":{"id":"https://openalex.org/S4363608932","display_name":"Proceedings of the Genetic and Evolutionary Computation Conference","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":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Genetic and Evolutionary Computation Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:boa.unimib.it:10281/501979","is_oa":true,"landing_page_url":"https://hdl.handle.net/10281/501979","pdf_url":null,"source":{"id":"https://openalex.org/S4306401259","display_name":"BOA (University of Milano-Bicocca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"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":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:repository.ubn.ru.nl:2066/253535","is_oa":false,"landing_page_url":"https://hdl.handle.net/2066/253535","pdf_url":null,"source":{"id":"https://openalex.org/S4306401067","display_name":"Radboud Repository (Radboud University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I145872427","host_organization_name":"Radboud University Nijmegen","host_organization_lineage":["https://openalex.org/I145872427"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article in monograph or in proceedings"},{"id":"pmh:ru:oai:repository.ubn.ru.nl:2066/253535","is_oa":true,"landing_page_url":"http://hdl.handle.net/2066/253535","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fieldsen, J.E. (ed.), GECCO '22: Genetic and Evolutionary Computation Conference Boston Massachusetts July 9 - 13, 2022, 1147 - 1155. New York : Association for Computing Machinery","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1145/3512290.3528871","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3512290.3528871","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3512290.3528871","source":{"id":"https://openalex.org/S4363608932","display_name":"Proceedings of the Genetic and Evolutionary Computation Conference","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":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Genetic and Evolutionary Computation Conference","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4288044863.pdf","grobid_xml":"https://content.openalex.org/works/W4288044863.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1839036866","https://openalex.org/W1850792349","https://openalex.org/W1993937043","https://openalex.org/W2013276354","https://openalex.org/W2114510843","https://openalex.org/W2152195021","https://openalex.org/W2157812200","https://openalex.org/W2169641440","https://openalex.org/W2286164450","https://openalex.org/W2289245055","https://openalex.org/W2291231941","https://openalex.org/W2293055178","https://openalex.org/W2505008844","https://openalex.org/W2555554433","https://openalex.org/W2804804260","https://openalex.org/W3046810304","https://openalex.org/W3088798822","https://openalex.org/W3173152432","https://openalex.org/W4205482204"],"related_works":["https://openalex.org/W4231391991","https://openalex.org/W2540591360","https://openalex.org/W3141532631","https://openalex.org/W2131164334","https://openalex.org/W2105128170","https://openalex.org/W2735569833","https://openalex.org/W2188045954","https://openalex.org/W1926436803","https://openalex.org/W4288044863","https://openalex.org/W3083297912"],"abstract_inverted_index":{"Finding":[0],"balanced,":[1],"highly":[2],"nonlinear":[3],"Boolean":[4,37,48,55],"functions":[5,56],"is":[6,12,31,57],"a":[7],"difficult":[8],"problem":[9],"where":[10],"it":[11],"not":[13],"known":[14],"what":[15],"nonlinearity":[16],"values":[17],"are":[18],"possible":[19],"to":[20,34],"be":[21],"reached":[22],"in":[23],"general.":[24],"At":[25],"the":[26,41],"same":[27],"time,":[28],"evolutionary":[29,66],"computation":[30],"successfully":[32],"used":[33],"evolve":[35],"specific":[36],"function":[38,49],"instances,":[39],"but":[40],"approach":[42],"cannot":[43],"easily":[44],"scale":[45],"for":[46],"larger":[47,60],"sizes.":[50],"Indeed,":[51],"while":[52],"evolving":[53],"smaller":[54],"almost":[58],"trivial,":[59],"sizes":[61],"become":[62],"increasingly":[63],"difficult,":[64],"and":[65],"algorithms":[67],"perform":[68],"suboptimally.":[69]},"counts_by_year":[{"year":2025,"cited_by_count":7},{"year":2023,"cited_by_count":4}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}