{"id":"https://openalex.org/W2608114450","doi":"https://doi.org/10.1007/s10898-019-00839-1","title":"On the choice of the low-dimensional domain for global optimization via random embeddings","display_name":"On the choice of the low-dimensional domain for global optimization via random embeddings","publication_year":2019,"publication_date":"2019-10-18","ids":{"openalex":"https://openalex.org/W2608114450","doi":"https://doi.org/10.1007/s10898-019-00839-1","mag":"2608114450"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-019-00839-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-019-00839-1","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global Optimization","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1704.05318","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057138887","display_name":"Micka\u00ebl Binois","orcid":"https://orcid.org/0000-0002-7225-1680"},"institutions":[{"id":"https://openalex.org/I1301102746","display_name":"Renault (France)","ror":"https://ror.org/04v98kq37","country_code":"FR","type":"company","lineage":["https://openalex.org/I1301102746"]},{"id":"https://openalex.org/I2800193586","display_name":"Woodlawn School","ror":"https://ror.org/00m0wef21","country_code":"US","type":"education","lineage":["https://openalex.org/I2800193586"]},{"id":"https://openalex.org/I40347166","display_name":"University of Chicago","ror":"https://ror.org/024mw5h28","country_code":"US","type":"education","lineage":["https://openalex.org/I40347166"]}],"countries":["FR","US"],"is_corresponding":true,"raw_author_name":"Micka\u00ebl Binois","raw_affiliation_strings":["The University of Chicago Booth School of Business, 5807 S. Woodlawn Ave., Chicago, IL, USA","Technocentre Renault [Guyancourt]"],"raw_orcid":"https://orcid.org/0000-0002-7225-1680","affiliations":[{"raw_affiliation_string":"The University of Chicago Booth School of Business, 5807 S. Woodlawn Ave., Chicago, IL, USA","institution_ids":["https://openalex.org/I2800193586","https://openalex.org/I40347166"]},{"raw_affiliation_string":"Technocentre Renault [Guyancourt]","institution_ids":["https://openalex.org/I1301102746"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049418200","display_name":"David Ginsbourger","orcid":"https://orcid.org/0000-0003-2724-2678"},"institutions":[{"id":"https://openalex.org/I118564535","display_name":"University of Bern","ror":"https://ror.org/02k7v4d05","country_code":"CH","type":"education","lineage":["https://openalex.org/I118564535"]},{"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/I7495430","display_name":"Idiap Research Institute","ror":"https://ror.org/05932h694","country_code":"CH","type":"facility","lineage":["https://openalex.org/I7495430"]}],"countries":["CH","FR"],"is_corresponding":false,"raw_author_name":"David Ginsbourger","raw_affiliation_strings":["IMSV, Department of Mathematics and Statistics, University of Bern, Alpeneggstrasse 22, 3012, Bern, Switzerland","Uncertainty Quantification and Optimal Design Group, Idiap Research Institute, Centre du Parc, Rue Marconi 19, PO Box 592, 1920, Martigny, Switzerland","3MI-ENSMSE"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IMSV, Department of Mathematics and Statistics, University of Bern, Alpeneggstrasse 22, 3012, Bern, Switzerland","institution_ids":["https://openalex.org/I118564535"]},{"raw_affiliation_string":"Uncertainty Quantification and Optimal Design Group, Idiap Research Institute, Centre du Parc, Rue Marconi 19, PO Box 592, 1920, Martigny, Switzerland","institution_ids":["https://openalex.org/I7495430"]},{"raw_affiliation_string":"3MI-ENSMSE","institution_ids":["https://openalex.org/I3019848993"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075037996","display_name":"Olivier Roustant","orcid":null},"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":"Olivier Roustant","raw_affiliation_strings":["Ecole des Mines de St-Etienne, UMR CNRS 6158, LIMOS, 158 Cours Fauriel, 42023, Saint-Etienne, France","GdR MASCOT-NUM"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ecole des Mines de St-Etienne, UMR CNRS 6158, LIMOS, 158 Cours Fauriel, 42023, Saint-Etienne, France","institution_ids":["https://openalex.org/I3019848993","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"GdR MASCOT-NUM","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5057138887"],"corresponding_institution_ids":["https://openalex.org/I1301102746","https://openalex.org/I2800193586","https://openalex.org/I40347166"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.8249,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.75611681,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"76","issue":"1","first_page":"69","last_page":"90"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9994999766349792,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9993000030517578,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9969000220298767,"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/embedding","display_name":"Embedding","score":0.7506759166717529},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.7248803377151489},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.620469331741333},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5472573041915894},{"id":"https://openalex.org/keywords/random-search","display_name":"Random search","score":0.5308804512023926},{"id":"https://openalex.org/keywords/bayesian-optimization","display_name":"Bayesian optimization","score":0.5032429099082947},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.4871225357055664},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4781433343887329},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4710552394390106},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.45703282952308655},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39050307869911194},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34712162613868713},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12572583556175232}],"concepts":[{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.7506759166717529},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.7248803377151489},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.620469331741333},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5472573041915894},{"id":"https://openalex.org/C126661757","wikidata":"https://www.wikidata.org/wiki/Q4925641","display_name":"Random search","level":2,"score":0.5308804512023926},{"id":"https://openalex.org/C2778049539","wikidata":"https://www.wikidata.org/wiki/Q17002908","display_name":"Bayesian optimization","level":2,"score":0.5032429099082947},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.4871225357055664},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4781433343887329},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4710552394390106},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.45703282952308655},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39050307869911194},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34712162613868713},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12572583556175232},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1007/s10898-019-00839-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-019-00839-1","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1704.05318","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1704.05318","pdf_url":"https://arxiv.org/pdf/1704.05318","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2608114450","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1704.05318.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:HAL:hal-01508196v2","is_oa":false,"landing_page_url":"https://hal.science/hal-01508196","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":"Journal of Global Optimization, 2020, 76, pp.69-90. &#x27E8;10.1007/s10898-019-00839-1&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:RePEc:spr:jglopt:v:76:y:2020:i:1:d:10.1007_s10898-019-00839-1","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10898-019-00839-1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:infoscience.epfl.ch:264929","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/264929","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"research article"},{"id":"doi:10.48550/arxiv.1704.05318","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1704.05318","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1704.05318","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1704.05318","pdf_url":"https://arxiv.org/pdf/1704.05318","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/17","score":0.4399999976158142,"display_name":"Partnerships for the goals"}],"awards":[{"id":"https://openalex.org/G6203999339","display_name":null,"funder_award_id":"DMS-1521702","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7646419893","display_name":null,"funder_award_id":"DMS-1521702","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G8189611903","display_name":"CDS&E-MSS/Collaborative Research:   Sequential Design for Stochastic Control: Active Learning of Optimal Policies","funder_award_id":"1521702","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320310992","display_name":"University of Bern","ror":"https://ror.org/02k7v4d05"},{"id":"https://openalex.org/F4320313934","display_name":"Institut national de recherche en informatique et en automatique (INRIA)","ror":"https://ror.org/02kvxyf05"},{"id":"https://openalex.org/F4320322219","display_name":"IFP Energies Nouvelles","ror":"https://ror.org/03gcbhc33"},{"id":"https://openalex.org/F4320322760","display_name":"Institut de Radioprotection et de S\u00dbret\u00e9 Nucl\u00e9aire","ror":"https://ror.org/01ha22c77"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W996908304","https://openalex.org/W1132250204","https://openalex.org/W1480330138","https://openalex.org/W1509422301","https://openalex.org/W1510052597","https://openalex.org/W1513726418","https://openalex.org/W1567512734","https://openalex.org/W1573878755","https://openalex.org/W1840389249","https://openalex.org/W1915824153","https://openalex.org/W1974987571","https://openalex.org/W1982230649","https://openalex.org/W1995461352","https://openalex.org/W2041633391","https://openalex.org/W2053469438","https://openalex.org/W2063180182","https://openalex.org/W2079962798","https://openalex.org/W2082228576","https://openalex.org/W2084771799","https://openalex.org/W2121437933","https://openalex.org/W2131172946","https://openalex.org/W2149223097","https://openalex.org/W2160960847","https://openalex.org/W2192203593","https://openalex.org/W2266445208","https://openalex.org/W2346831501","https://openalex.org/W2950925480","https://openalex.org/W2962731272","https://openalex.org/W4206570602","https://openalex.org/W4235915798","https://openalex.org/W4249991458","https://openalex.org/W4301621763","https://openalex.org/W6600002382"],"related_works":["https://openalex.org/W2980498459","https://openalex.org/W3007002905","https://openalex.org/W1675620121","https://openalex.org/W2588455783","https://openalex.org/W2963318025","https://openalex.org/W2977966311","https://openalex.org/W2997219618","https://openalex.org/W3139711280","https://openalex.org/W2794754002","https://openalex.org/W2952038739","https://openalex.org/W3126392993","https://openalex.org/W3096668680","https://openalex.org/W2913053495","https://openalex.org/W2972715634","https://openalex.org/W2800080953","https://openalex.org/W306399284","https://openalex.org/W2567614172","https://openalex.org/W3201945250","https://openalex.org/W2232354667","https://openalex.org/W3035808228"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
