{"id":"https://openalex.org/W4286799359","doi":"https://doi.org/10.1137/21m1445053","title":"Gaussian Process Regression on Nested Spaces","display_name":"Gaussian Process Regression on Nested Spaces","publication_year":2023,"publication_date":"2023-04-25","ids":{"openalex":"https://openalex.org/W4286799359","doi":"https://doi.org/10.1137/21m1445053"},"language":"en","primary_location":{"id":"doi:10.1137/21m1445053","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/21m1445053","pdf_url":null,"source":{"id":"https://openalex.org/S2911293512","display_name":"SIAM/ASA Journal on Uncertainty Quantification","issn_l":"2166-2525","issn":["2166-2525"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM/ASA Journal on Uncertainty Quantification","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-03299132/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112865528","display_name":"Christophette Blanchet\u2010Scalliet","orcid":null},"institutions":[{"id":"https://openalex.org/I112936343","display_name":"\u00c9cole Centrale de Lyon","ror":"https://ror.org/05s6rge65","country_code":"FR","type":"education","lineage":["https://openalex.org/I112936343","https://openalex.org/I203339264"]},{"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/I4210104796","display_name":"Institut Camille Jordan","ror":"https://ror.org/01ekw7f87","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I112936343","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210104796","https://openalex.org/I4405259976","https://openalex.org/I48430043"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Christophette Blanchet-Scalliet","raw_affiliation_strings":["Universit\u2018e Lyon, Ecole Centrale de Lyon, CNRS UMR 5208, Institut Camille Jordan, 36 avenue Guy DE Collongue, F-69134 Ecully Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u2018e Lyon, Ecole Centrale de Lyon, CNRS UMR 5208, Institut Camille Jordan, 36 avenue Guy DE Collongue, F-69134 Ecully Cedex, France","institution_ids":["https://openalex.org/I4210104796","https://openalex.org/I1294671590","https://openalex.org/I112936343"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002038949","display_name":"Bruno Demory","orcid":null},"institutions":[{"id":"https://openalex.org/I220619192","display_name":"Valeo (France)","ror":"https://ror.org/04ryqpf83","country_code":"FR","type":"company","lineage":["https://openalex.org/I220619192"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Bruno Demory","raw_affiliation_strings":["VALEO Thermal Systems, 8 rue Louis Lormand, 78321 La Verri\u00e8re, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"VALEO Thermal Systems, 8 rue Louis Lormand, 78321 La Verri\u00e8re, France","institution_ids":["https://openalex.org/I220619192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054882155","display_name":"Thierry Gonon","orcid":null},"institutions":[{"id":"https://openalex.org/I112936343","display_name":"\u00c9cole Centrale de Lyon","ror":"https://ror.org/05s6rge65","country_code":"FR","type":"education","lineage":["https://openalex.org/I112936343","https://openalex.org/I203339264"]},{"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/I4210104796","display_name":"Institut Camille Jordan","ror":"https://ror.org/01ekw7f87","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I112936343","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210104796","https://openalex.org/I4405259976","https://openalex.org/I48430043"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Thierry Gonon","raw_affiliation_strings":["Universit\u2018e Lyon, Ecole Centrale de Lyon, CNRS UMR 5208, Institut Camille Jordan, 36 avenue Guy DE Collongue, F-69134 Ecully Cedex, France"],"raw_orcid":"https://orcid.org/0000-0002-8344-6870","affiliations":[{"raw_affiliation_string":"Universit\u2018e Lyon, Ecole Centrale de Lyon, CNRS UMR 5208, Institut Camille Jordan, 36 avenue Guy DE Collongue, F-69134 Ecully Cedex, France","institution_ids":["https://openalex.org/I4210104796","https://openalex.org/I1294671590","https://openalex.org/I112936343"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041597847","display_name":"C\u00e9line Helbert","orcid":"https://orcid.org/0000-0002-0085-5127"},"institutions":[{"id":"https://openalex.org/I112936343","display_name":"\u00c9cole Centrale de Lyon","ror":"https://ror.org/05s6rge65","country_code":"FR","type":"education","lineage":["https://openalex.org/I112936343","https://openalex.org/I203339264"]},{"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/I4210104796","display_name":"Institut Camille Jordan","ror":"https://ror.org/01ekw7f87","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I112936343","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210104796","https://openalex.org/I4405259976","https://openalex.org/I48430043"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"C\u00e9line Helbert","raw_affiliation_strings":["Universit\u2018e Lyon, Ecole Centrale de Lyon, CNRS UMR 5208, Institut Camille Jordan, 36 avenue Guy DE Collongue, F-69134 Ecully Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u2018e Lyon, Ecole Centrale de Lyon, CNRS UMR 5208, Institut Camille Jordan, 36 avenue Guy DE Collongue, F-69134 Ecully Cedex, France","institution_ids":["https://openalex.org/I4210104796","https://openalex.org/I1294671590","https://openalex.org/I112936343"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5112865528"],"corresponding_institution_ids":["https://openalex.org/I112936343","https://openalex.org/I1294671590","https://openalex.org/I4210104796"],"apc_list":null,"apc_paid":null,"fwci":0.1929,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.48840077,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"11","issue":"2","first_page":"426","last_page":"451"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9970999956130981,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9904000163078308,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.7473891377449036},{"id":"https://openalex.org/keywords/kriging","display_name":"Kriging","score":0.7427977323532104},{"id":"https://openalex.org/keywords/metamodeling","display_name":"Metamodeling","score":0.6901841759681702},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.6284850835800171},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.5675508975982666},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.5580939054489136},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5078497529029846},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5001788139343262},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4918227195739746},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.48023539781570435},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4703766703605652},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46636566519737244},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.44344696402549744},{"id":"https://openalex.org/keywords/regression-analysis","display_name":"Regression analysis","score":0.42765650153160095},{"id":"https://openalex.org/keywords/null","display_name":"Null (SQL)","score":0.4275374710559845},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4098946750164032},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2991635799407959},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.29195812344551086},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.2202078104019165},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21896997094154358}],"concepts":[{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.7473891377449036},{"id":"https://openalex.org/C81692654","wikidata":"https://www.wikidata.org/wiki/Q225926","display_name":"Kriging","level":2,"score":0.7427977323532104},{"id":"https://openalex.org/C86610423","wikidata":"https://www.wikidata.org/wiki/Q1925081","display_name":"Metamodeling","level":2,"score":0.6901841759681702},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.6284850835800171},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.5675508975982666},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.5580939054489136},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5078497529029846},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5001788139343262},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4918227195739746},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.48023539781570435},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4703766703605652},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46636566519737244},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.44344696402549744},{"id":"https://openalex.org/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","level":2,"score":0.42765650153160095},{"id":"https://openalex.org/C203763787","wikidata":"https://www.wikidata.org/wiki/Q371029","display_name":"Null (SQL)","level":2,"score":0.4275374710559845},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4098946750164032},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2991635799407959},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.29195812344551086},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.2202078104019165},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21896997094154358},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/21m1445053","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/21m1445053","pdf_url":null,"source":{"id":"https://openalex.org/S2911293512","display_name":"SIAM/ASA Journal on Uncertainty Quantification","issn_l":"2166-2525","issn":["2166-2525"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM/ASA Journal on Uncertainty Quantification","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03299132v2","is_oa":true,"landing_page_url":"https://hal.science/hal-03299132","pdf_url":"https://hal.science/hal-03299132/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM/ASA Journal on Uncertainty Quantification, 2023, 11 (2), pp.426-451. &#x27E8;10.1137/21M1445053&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03299132v2","is_oa":true,"landing_page_url":"https://hal.science/hal-03299132","pdf_url":"https://hal.science/hal-03299132/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM/ASA Journal on Uncertainty Quantification, 2023, 11 (2), pp.426-451. &#x27E8;10.1137/21M1445053&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9","score":0.5400000214576721}],"awards":[],"funders":[{"id":"https://openalex.org/F4320325825","display_name":"\u00c9cole Centrale de Lyon","ror":"https://ror.org/05s6rge65"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4286799359.pdf"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1510052597","https://openalex.org/W1566697425","https://openalex.org/W1758903565","https://openalex.org/W1840389249","https://openalex.org/W1972777769","https://openalex.org/W1977046327","https://openalex.org/W1993294688","https://openalex.org/W2010812986","https://openalex.org/W2018044188","https://openalex.org/W2021109717","https://openalex.org/W2063185244","https://openalex.org/W2097441841","https://openalex.org/W2130472914","https://openalex.org/W2138969669","https://openalex.org/W2149095431","https://openalex.org/W2171993497","https://openalex.org/W2258509781","https://openalex.org/W2963965506","https://openalex.org/W2963971501","https://openalex.org/W2978092183","https://openalex.org/W3039503035","https://openalex.org/W3083811209","https://openalex.org/W3111195932","https://openalex.org/W3131512346","https://openalex.org/W4236993164","https://openalex.org/W4249753629","https://openalex.org/W4281796895"],"related_works":["https://openalex.org/W3150130873","https://openalex.org/W2104827390","https://openalex.org/W2969571561","https://openalex.org/W2620550997","https://openalex.org/W1525931652","https://openalex.org/W2076301380","https://openalex.org/W3121339476","https://openalex.org/W3147153020","https://openalex.org/W206305700","https://openalex.org/W2125285777"],"abstract_inverted_index":{"International":[0],"audience":[1]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}
