{"id":"https://openalex.org/W2064393454","doi":"https://doi.org/10.1145/2739480.2754813","title":"Towards an Augmented Lagrangian Constraint Handling Approach for the (1+1)-ES","display_name":"Towards an Augmented Lagrangian Constraint Handling Approach for the (1+1)-ES","publication_year":2015,"publication_date":"2015-07-07","ids":{"openalex":"https://openalex.org/W2064393454","doi":"https://doi.org/10.1145/2739480.2754813","mag":"2064393454"},"language":"en","primary_location":{"id":"doi:10.1145/2739480.2754813","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2739480.2754813","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2015 Annual Conference on Genetic and Evolutionary Computation","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/A5083914227","display_name":"Dirk V. Arnold","orcid":"https://orcid.org/0000-0001-5367-6862"},"institutions":[{"id":"https://openalex.org/I129902397","display_name":"Dalhousie University","ror":"https://ror.org/01e6qks80","country_code":"CA","type":"education","lineage":["https://openalex.org/I129902397"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Dirk V. Arnold","raw_affiliation_strings":["Dalhousie University, Halifax, NS, Canada"],"affiliations":[{"raw_affiliation_string":"Dalhousie University, Halifax, NS, Canada","institution_ids":["https://openalex.org/I129902397"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010248815","display_name":"Jeremy Porter","orcid":"https://orcid.org/0009-0000-1185-7710"},"institutions":[{"id":"https://openalex.org/I129902397","display_name":"Dalhousie University","ror":"https://ror.org/01e6qks80","country_code":"CA","type":"education","lineage":["https://openalex.org/I129902397"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jeremy Porter","raw_affiliation_strings":["Dalhousie University, Halifax, NS, Canada"],"affiliations":[{"raw_affiliation_string":"Dalhousie University, Halifax, NS, Canada","institution_ids":["https://openalex.org/I129902397"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5083914227"],"corresponding_institution_ids":["https://openalex.org/I129902397"],"apc_list":null,"apc_paid":null,"fwci":4.3144,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.94678574,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"249","last_page":"256"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9991999864578247,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9991999864578247,"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/T11574","display_name":"Artificial Intelligence in Games","score":0.9642999768257141,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9635000228881836,"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/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.8368929028511047},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.8238005638122559},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.7096019387245178},{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.674208402633667},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6550216674804688},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4806591272354126},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43743130564689636},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38901394605636597},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.2748112678527832},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.059469521045684814}],"concepts":[{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.8368929028511047},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.8238005638122559},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.7096019387245178},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.674208402633667},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6550216674804688},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4806591272354126},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43743130564689636},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38901394605636597},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2748112678527832},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.059469521045684814},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2739480.2754813","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2739480.2754813","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2015 Annual Conference on Genetic and Evolutionary Computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.5299999713897705,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W45267252","https://openalex.org/W167164245","https://openalex.org/W1494003781","https://openalex.org/W1514875444","https://openalex.org/W1807472377","https://openalex.org/W2027964569","https://openalex.org/W2049771040","https://openalex.org/W2050079439","https://openalex.org/W2057819258","https://openalex.org/W2063711261","https://openalex.org/W2080422307","https://openalex.org/W2100183008","https://openalex.org/W2110368321","https://openalex.org/W2123535420","https://openalex.org/W2132181343","https://openalex.org/W2139747021","https://openalex.org/W2142265433","https://openalex.org/W2148298821","https://openalex.org/W2164655924","https://openalex.org/W2170337736","https://openalex.org/W2235047952","https://openalex.org/W3029645440","https://openalex.org/W4255726527","https://openalex.org/W4256451422","https://openalex.org/W4292919214","https://openalex.org/W4301014524","https://openalex.org/W6842097421"],"related_works":["https://openalex.org/W2005485125","https://openalex.org/W2015060724","https://openalex.org/W2390718407","https://openalex.org/W1986006778","https://openalex.org/W2034124193","https://openalex.org/W2085363807","https://openalex.org/W2315802443","https://openalex.org/W2767923834","https://openalex.org/W2376104286","https://openalex.org/W2082353735"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,33,37,41,47,52,74],"problem":[3],"of":[4,32,36,43,93],"devising":[5],"an":[6],"approach":[7,83],"for":[8],"handling":[9],"inequality":[10],"constraints":[11],"in":[12,46,51,67],"evolution":[13],"strategies":[14],"that":[15,40,59],"allows":[16],"converging":[17],"linearly":[18],"to":[19,63,69],"optimal":[20],"solutions":[21],"on":[22,73,89,99],"sphere":[23,94],"functions":[24,95],"with":[25,49,103],"a":[26,79,90,104],"single":[27,105],"linear":[28,106],"constraint.":[29,107],"An":[30],"analysis":[31],"single-step":[34],"behaviour":[35],"(1+1)-ES":[38],"shows":[39],"task":[42],"balancing":[44],"improvements":[45],"objective":[48],"those":[50],"constraint":[53],"function":[54],"is":[55],"quite":[56],"delicate,":[57],"and":[58,84],"adaptive":[60],"approaches":[61],"need":[62],"be":[64],"carefully":[65],"designed":[66],"order":[68],"avoid":[70],"failure.":[71],"Based":[72],"understanding":[75],"gained,":[76],"we":[77],"propose":[78],"simple":[80],"augmented":[81],"Lagrangian":[82],"experimentally":[85],"demonstrate":[86],"good":[87],"performance":[88],"broad":[91],"range":[92],"as":[96,98],"well":[97],"moderately":[100],"ill-conditioned":[101],"ellipsoids":[102]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
