{"id":"https://openalex.org/W4281946771","doi":"https://doi.org/10.1186/s40323-022-00218-8","title":"A comparison of mixed-variables Bayesian optimization approaches","display_name":"A comparison of mixed-variables Bayesian optimization approaches","publication_year":2022,"publication_date":"2022-06-09","ids":{"openalex":"https://openalex.org/W4281946771","doi":"https://doi.org/10.1186/s40323-022-00218-8"},"language":"en","primary_location":{"id":"doi:10.1186/s40323-022-00218-8","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s40323-022-00218-8","pdf_url":"https://amses-journal.springeropen.com/counter/pdf/10.1186/s40323-022-00218-8","source":{"id":"https://openalex.org/S3034486266","display_name":"Advanced Modeling and Simulation in Engineering Sciences","issn_l":"2213-7467","issn":["2213-7467"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advanced Modeling and Simulation in Engineering Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://amses-journal.springeropen.com/counter/pdf/10.1186/s40323-022-00218-8","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008408261","display_name":"Jhouben Janyk Cuesta Ramirez","orcid":"https://orcid.org/0000-0003-1365-0259"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I3019848993","display_name":"Mines Saint-\u00c9tienne","ror":"https://ror.org/05a1dws80","country_code":"FR","type":"education","lineage":["https://openalex.org/I203339264","https://openalex.org/I205703379","https://openalex.org/I3019848993"]},{"id":"https://openalex.org/I3020098449","display_name":"CEA Grenoble","ror":"https://ror.org/02mg6n827","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I3020098449"]},{"id":"https://openalex.org/I4210150049","display_name":"Laboratoire d'\u00c9lectronique des Technologies de l'Information","ror":"https://ror.org/04mf0wv34","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I2738703131","https://openalex.org/I4210117989","https://openalex.org/I4210150049"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jhouben Cuesta Ramirez","raw_affiliation_strings":["CEA, LETI, Univ. Grenoble Alpes, 38000, Grenoble, France","LIMOS (CNRS, Mines Saint-Etienne, UCA), Saint-Etienne, France"],"raw_orcid":"https://orcid.org/0000-0003-1365-0259","affiliations":[{"raw_affiliation_string":"CEA, LETI, Univ. Grenoble Alpes, 38000, Grenoble, France","institution_ids":["https://openalex.org/I899635006","https://openalex.org/I4210150049","https://openalex.org/I3020098449","https://openalex.org/I2738703131"]},{"raw_affiliation_string":"LIMOS (CNRS, Mines Saint-Etienne, UCA), Saint-Etienne, France","institution_ids":["https://openalex.org/I3019848993","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043441750","display_name":"Rodolphe Le Riche","orcid":"https://orcid.org/0000-0002-3518-2110"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I3019848993","display_name":"Mines Saint-\u00c9tienne","ror":"https://ror.org/05a1dws80","country_code":"FR","type":"education","lineage":["https://openalex.org/I203339264","https://openalex.org/I205703379","https://openalex.org/I3019848993"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Rodolphe Le Riche","raw_affiliation_strings":["LIMOS (CNRS, Mines Saint-Etienne, UCA), Saint-Etienne, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIMOS (CNRS, Mines Saint-Etienne, UCA), Saint-Etienne, France","institution_ids":["https://openalex.org/I3019848993","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075037996","display_name":"Olivier Roustant","orcid":null},"institutions":[{"id":"https://openalex.org/I196454796","display_name":"Institut National des Sciences Appliqu\u00e9es de Toulouse","ror":"https://ror.org/01h8pf755","country_code":"FR","type":"education","lineage":["https://openalex.org/I196454796","https://openalex.org/I4405258862"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Olivier Roustant","raw_affiliation_strings":["INSA Toulouse, Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INSA Toulouse, Toulouse, France","institution_ids":["https://openalex.org/I196454796"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032363972","display_name":"Guillaume Perrin","orcid":"https://orcid.org/0000-0002-0592-6094"},"institutions":[{"id":"https://openalex.org/I4210154111","display_name":"Universit\u00e9 Gustave Eiffel","ror":"https://ror.org/03x42jk29","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210154111"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Guillaume Perrin","raw_affiliation_strings":["COSYS, Universit\u00e9 Gustave Eiffel, 77420, Champs-sur-Marne, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"COSYS, Universit\u00e9 Gustave Eiffel, 77420, Champs-sur-Marne, France","institution_ids":["https://openalex.org/I4210154111"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016662335","display_name":"C\u00e9dric Durantin","orcid":null},"institutions":[{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I4210101455","display_name":"CEA DAM \u00cele-de-France","ror":"https://ror.org/00kn4eb29","country_code":"FR","type":"government","lineage":["https://openalex.org/I4210101455"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"C\u00e9dric Durantin","raw_affiliation_strings":["CEA-DAM, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CEA-DAM, Paris, France","institution_ids":["https://openalex.org/I4210101455","https://openalex.org/I2738703131"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040272381","display_name":"Alain Gli\u00e8re","orcid":"https://orcid.org/0000-0002-8017-4566"},"institutions":[{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I3020098449","display_name":"CEA Grenoble","ror":"https://ror.org/02mg6n827","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I3020098449"]},{"id":"https://openalex.org/I4210150049","display_name":"Laboratoire d'\u00c9lectronique des Technologies de l'Information","ror":"https://ror.org/04mf0wv34","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I2738703131","https://openalex.org/I4210117989","https://openalex.org/I4210150049"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Alain Gli\u00e8re","raw_affiliation_strings":["CEA, LETI, Univ. Grenoble Alpes, 38000, Grenoble, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CEA, LETI, Univ. Grenoble Alpes, 38000, Grenoble, France","institution_ids":["https://openalex.org/I899635006","https://openalex.org/I4210150049","https://openalex.org/I3020098449","https://openalex.org/I2738703131"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5008408261"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I2738703131","https://openalex.org/I3019848993","https://openalex.org/I3020098449","https://openalex.org/I4210150049","https://openalex.org/I899635006"],"apc_list":{"value":990,"currency":"GBP","value_usd":1214},"apc_paid":{"value":990,"currency":"GBP","value_usd":1214},"fwci":2.5644,"has_fulltext":true,"cited_by_count":20,"citation_normalized_percentile":{"value":0.90666473,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"9","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9998999834060669,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9998999834060669,"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/T11798","display_name":"Optimal Experimental Design Methods","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9912999868392944,"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/continuous-optimization","display_name":"Continuous optimization","score":0.741467297077179},{"id":"https://openalex.org/keywords/bayesian-optimization","display_name":"Bayesian optimization","score":0.7244910597801208},{"id":"https://openalex.org/keywords/discrete-optimization","display_name":"Discrete optimization","score":0.6302900910377502},{"id":"https://openalex.org/keywords/continuous-variable","display_name":"Continuous variable","score":0.6182119846343994},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6012181639671326},{"id":"https://openalex.org/keywords/latent-variable","display_name":"Latent variable","score":0.5840923190116882},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5603457093238831},{"id":"https://openalex.org/keywords/constrained-optimization","display_name":"Constrained optimization","score":0.5068386197090149},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48588937520980835},{"id":"https://openalex.org/keywords/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.48469236493110657},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.439432293176651},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41194647550582886},{"id":"https://openalex.org/keywords/multi-swarm-optimization","display_name":"Multi-swarm optimization","score":0.14101633429527283},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14024066925048828}],"concepts":[{"id":"https://openalex.org/C92995354","wikidata":"https://www.wikidata.org/wiki/Q5165499","display_name":"Continuous optimization","level":4,"score":0.741467297077179},{"id":"https://openalex.org/C2778049539","wikidata":"https://www.wikidata.org/wiki/Q17002908","display_name":"Bayesian optimization","level":2,"score":0.7244910597801208},{"id":"https://openalex.org/C145671259","wikidata":"https://www.wikidata.org/wiki/Q1493786","display_name":"Discrete optimization","level":3,"score":0.6302900910377502},{"id":"https://openalex.org/C2983394010","wikidata":"https://www.wikidata.org/wiki/Q19885330","display_name":"Continuous variable","level":2,"score":0.6182119846343994},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6012181639671326},{"id":"https://openalex.org/C51167844","wikidata":"https://www.wikidata.org/wiki/Q4422623","display_name":"Latent variable","level":2,"score":0.5840923190116882},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5603457093238831},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.5068386197090149},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48588937520980835},{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.48469236493110657},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.439432293176651},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41194647550582886},{"id":"https://openalex.org/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.14101633429527283},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14024066925048828}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1186/s40323-022-00218-8","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s40323-022-00218-8","pdf_url":"https://amses-journal.springeropen.com/counter/pdf/10.1186/s40323-022-00218-8","source":{"id":"https://openalex.org/S3034486266","display_name":"Advanced Modeling and Simulation in Engineering Sciences","issn_l":"2213-7467","issn":["2213-7467"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advanced Modeling and Simulation in Engineering Sciences","raw_type":"journal-article"},{"id":"pmh:oai:HAL:emse-03413829v1","is_oa":false,"landing_page_url":"https://hal-emse.ccsd.cnrs.fr/emse-03413829","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://link.springer.com/article/10.1186/s40323-022-00218-8/fulltext.html","raw_type":"Journal articles"},{"id":"pmh:oai:HAL:hal-04458287v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04458287","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 2213-7467","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:hal-04532796v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04532796","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 2213-7467","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:b30aba4e600049089d0c50cb307b110d","is_oa":true,"landing_page_url":"https://doaj.org/article/b30aba4e600049089d0c50cb307b110d","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Advanced Modeling and Simulation in Engineering Sciences, Vol 9, Iss 1, Pp 1-29 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1186/s40323-022-00218-8","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s40323-022-00218-8","pdf_url":"https://amses-journal.springeropen.com/counter/pdf/10.1186/s40323-022-00218-8","source":{"id":"https://openalex.org/S3034486266","display_name":"Advanced Modeling and Simulation in Engineering Sciences","issn_l":"2213-7467","issn":["2213-7467"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advanced Modeling and Simulation in Engineering Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4281946771.pdf","grobid_xml":"https://content.openalex.org/works/W4281946771.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W60686164","https://openalex.org/W1451881698","https://openalex.org/W1480330138","https://openalex.org/W1510052597","https://openalex.org/W1601195920","https://openalex.org/W1975904784","https://openalex.org/W1986490170","https://openalex.org/W2008292066","https://openalex.org/W2057624533","https://openalex.org/W2078011655","https://openalex.org/W2116825765","https://openalex.org/W2133304166","https://openalex.org/W2586846315","https://openalex.org/W2803167060","https://openalex.org/W2884636259","https://openalex.org/W2963003484","https://openalex.org/W2963384660","https://openalex.org/W3011445295","https://openalex.org/W3011495853","https://openalex.org/W3024835624","https://openalex.org/W3035520687","https://openalex.org/W3138024475","https://openalex.org/W3151399059","https://openalex.org/W4399585319","https://openalex.org/W6842097421"],"related_works":["https://openalex.org/W2332119567","https://openalex.org/W2742749123","https://openalex.org/W1595870065","https://openalex.org/W2018323738","https://openalex.org/W2770561940","https://openalex.org/W4367189546","https://openalex.org/W4286889594","https://openalex.org/W2124446612","https://openalex.org/W3210174853","https://openalex.org/W4281946771"],"abstract_inverted_index":{"Abstract":[0],"Most":[1],"real":[2],"optimization":[3,39,91,192],"problems":[4,40,65],"are":[5,15,41,66,75,100,130,183,187],"defined":[6],"over":[7],"a":[8,30,44,53,94,165,176,179,198],"mixed":[9,36,64,95,128,153],"search":[10],"space":[11,83,96],"where":[12,71],"the":[13,23,72,105,134,137,152,156,171,190],"variables":[14,74,99,142,160],"both":[16],"discrete":[17,73],"and":[18,37,161,178,197],"continuous.":[19],"In":[20,60,132],"engineering":[21],"applications,":[22],"objective":[24],"function":[25],"is":[26,84,117,143,168],"typically":[27],"calculated":[28],"with":[29,110,119,139,147],"numerically":[31],"costly":[32,38,63],"black-box":[33],"simulation.":[34],"General":[35],"therefore":[42],"of":[43,125,136,193],"great":[45],"practical":[46],"interest,":[47],"yet":[48],"their":[49],"resolution":[50],"remains":[51],"in":[52,145,151],"large":[54],"part":[55],"an":[56,111,162],"open":[57],"scientific":[58],"question.":[59],"this":[61],"article,":[62],"approached":[67],"through":[68],"Gaussian":[69],"processes":[70],"relaxed":[76],"into":[77],"continuous":[78,82,106,140],"latent":[79,141,159],"variables.":[80],"The":[81,185],"more":[85],"easily":[86],"harvested":[87],"by":[88],"classical":[89],"Bayesian":[90,127],"techniques":[92,182],"than":[93],"would.":[97],"Discrete":[98],"recovered":[101],"either":[102],"subsequently":[103],"to":[104,170],"optimization,":[107],"or":[108],"simultaneously":[109],"additional":[112],"continuous-discrete":[113],"compatibility":[114],"constraint":[115],"that":[116],"handled":[118],"augmented":[120,163],"Lagrangians.":[121],"Several":[122],"possible":[123],"implementations":[124],"such":[126],"optimizers":[129],"compared.":[131],"particular,":[133],"reformulation":[135],"problem":[138],"put":[144],"competition":[146],"searches":[148],"working":[149],"directly":[150],"space.":[154],"Among":[155],"algorithms":[157],"involving":[158],"Lagrangian,":[164],"particular":[166],"attention":[167],"devoted":[169],"Lagrange":[172],"multipliers":[173],"for":[174],"which":[175],"local":[177],"global":[180],"estimation":[181],"studied.":[184],"comparisons":[186],"based":[188],"on":[189],"repeated":[191],"three":[194],"analytical":[195],"functions":[196],"beam":[199],"design":[200],"problem.":[201]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-06-13T00:00:00"}