{"id":"https://openalex.org/W2607746587","doi":"https://doi.org/10.1137/17m1129179","title":"Warped Gaussian Processes and Derivative-Based Sequential Designs for Functions with Heterogeneous Variations","display_name":"Warped Gaussian Processes and Derivative-Based Sequential Designs for Functions with Heterogeneous Variations","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2607746587","doi":"https://doi.org/10.1137/17m1129179","mag":"2607746587"},"language":"en","primary_location":{"id":"doi:10.1137/17m1129179","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1129179","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-01507368v1/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041432055","display_name":"S\u00e9bastien Marmin","orcid":null},"institutions":[{"id":"https://openalex.org/I4210138206","display_name":"Institut de Math\u00e9matiques de Marseille","ror":"https://ror.org/042h2y225","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210138206","https://openalex.org/I4210141950","https://openalex.org/I4210142724"]},{"id":"https://openalex.org/I1293448361","display_name":"Institut de Radioprotection et de S\u00fbret\u00e9 Nucl\u00e9aire","ror":"https://ror.org/01ha22c77","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1293448361"]},{"id":"https://openalex.org/I4210116669","display_name":"Ch\u00e2teau Gombert","ror":"https://ror.org/02kspbq18","country_code":"FR","type":"other","lineage":["https://openalex.org/I4210116669"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"S\u00e9bastien Marmin","raw_affiliation_strings":["I2M - Institut de Math\u00e9matiques de Marseille (Centre de Math\u00e9matiques et Informatique (CMI)\r\nTechnop\u00f4le Ch\u00e2teau-Gombert\r\n39, rue Fr\u00e9d\u00e9ric Joliot Curie\r\n13453 Marseille Cedex 13  - France)","IMSV - Institute of Mathematical Statistics and Actuarial Science [Bern] (Institut f\u00fcr mathematische Statistik und Versicherungslehre Sidlerstrasse 5 and Alpeneggstrasse 22 CH-3012 Bern - Switzerland)","IRSN - Institut de Radioprotection et de S\u00fbret\u00e9 Nucl\u00e9aire (F-92260, Fontenay-aux-Roses - France)"],"affiliations":[{"raw_affiliation_string":"I2M - Institut de Math\u00e9matiques de Marseille (Centre de Math\u00e9matiques et Informatique (CMI)\r\nTechnop\u00f4le Ch\u00e2teau-Gombert\r\n39, rue Fr\u00e9d\u00e9ric Joliot Curie\r\n13453 Marseille Cedex 13  - France)","institution_ids":["https://openalex.org/I4210116669","https://openalex.org/I4210160189","https://openalex.org/I4210138206"]},{"raw_affiliation_string":"IMSV - Institute of Mathematical Statistics and Actuarial Science [Bern] (Institut f\u00fcr mathematische Statistik und Versicherungslehre Sidlerstrasse 5 and Alpeneggstrasse 22 CH-3012 Bern - Switzerland)","institution_ids":[]},{"raw_affiliation_string":"IRSN - Institut de Radioprotection et de S\u00fbret\u00e9 Nucl\u00e9aire (F-92260, Fontenay-aux-Roses - France)","institution_ids":["https://openalex.org/I1293448361"]}]},{"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/I7495430","display_name":"Idiap Research Institute","ror":"https://ror.org/05932h694","country_code":"CH","type":"facility","lineage":["https://openalex.org/I7495430"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"David Ginsbourger","raw_affiliation_strings":["IMSV - Institute of Mathematical Statistics and Actuarial Science [Bern] (Institut f\u00fcr mathematische Statistik und Versicherungslehre Sidlerstrasse 5 and Alpeneggstrasse 22 CH-3012 Bern - Switzerland)","IDIAP Research Institute (Centre du Parc Rue Marconi 19 PO Box 592 CH - 1920 Martigny Switzerland - Switzerland)","GdR MASCOT-NUM - M\u00e9thodes d'Analyse Stochastique des Codes et Traitements Num\u00e9riques (France)"],"affiliations":[{"raw_affiliation_string":"IMSV - Institute of Mathematical Statistics and Actuarial Science [Bern] (Institut f\u00fcr mathematische Statistik und Versicherungslehre Sidlerstrasse 5 and Alpeneggstrasse 22 CH-3012 Bern - Switzerland)","institution_ids":[]},{"raw_affiliation_string":"IDIAP Research Institute (Centre du Parc Rue Marconi 19 PO Box 592 CH - 1920 Martigny Switzerland - Switzerland)","institution_ids":["https://openalex.org/I7495430"]},{"raw_affiliation_string":"GdR MASCOT-NUM - M\u00e9thodes d'Analyse Stochastique des Codes et Traitements Num\u00e9riques (France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016462835","display_name":"Jean Baccou","orcid":"https://orcid.org/0000-0002-6673-1653"},"institutions":[{"id":"https://openalex.org/I1293448361","display_name":"Institut de Radioprotection et de S\u00fbret\u00e9 Nucl\u00e9aire","ror":"https://ror.org/01ha22c77","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1293448361"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean Baccou","raw_affiliation_strings":["MIST - Laboratoire de microm\u00e9canique et int\u00e9grit\u00e9 des structures (France)","IRSN - Institut de Radioprotection et de S\u00fbret\u00e9 Nucl\u00e9aire (F-92260, Fontenay-aux-Roses - France)"],"affiliations":[{"raw_affiliation_string":"MIST - Laboratoire de microm\u00e9canique et int\u00e9grit\u00e9 des structures (France)","institution_ids":[]},{"raw_affiliation_string":"IRSN - Institut de Radioprotection et de S\u00fbret\u00e9 Nucl\u00e9aire (F-92260, Fontenay-aux-Roses - France)","institution_ids":["https://openalex.org/I1293448361"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073016700","display_name":"Jacques Liandrat","orcid":"https://orcid.org/0000-0002-8513-6358"},"institutions":[{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]},{"id":"https://openalex.org/I4210116669","display_name":"Ch\u00e2teau Gombert","ror":"https://ror.org/02kspbq18","country_code":"FR","type":"other","lineage":["https://openalex.org/I4210116669"]},{"id":"https://openalex.org/I4210138206","display_name":"Institut de Math\u00e9matiques de Marseille","ror":"https://ror.org/042h2y225","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210138206","https://openalex.org/I4210141950","https://openalex.org/I4210142724"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jacques Liandrat","raw_affiliation_strings":["I2M - Institut de Math\u00e9matiques de Marseille (Centre de Math\u00e9matiques et Informatique (CMI)\r\nTechnop\u00f4le Ch\u00e2teau-Gombert\r\n39, rue Fr\u00e9d\u00e9ric Joliot Curie\r\n13453 Marseille Cedex 13  - France)"],"affiliations":[{"raw_affiliation_string":"I2M - Institut de Math\u00e9matiques de Marseille (Centre de Math\u00e9matiques et Informatique (CMI)\r\nTechnop\u00f4le Ch\u00e2teau-Gombert\r\n39, rue Fr\u00e9d\u00e9ric Joliot Curie\r\n13453 Marseille Cedex 13  - France)","institution_ids":["https://openalex.org/I4210116669","https://openalex.org/I4210160189","https://openalex.org/I4210138206"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5041432055"],"corresponding_institution_ids":["https://openalex.org/I1293448361","https://openalex.org/I4210116669","https://openalex.org/I4210138206","https://openalex.org/I4210160189"],"apc_list":null,"apc_paid":null,"fwci":3.6335,"has_fulltext":true,"cited_by_count":29,"citation_normalized_percentile":{"value":0.93776198,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"6","issue":"3","first_page":"991","last_page":"1018"},"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":0.9997000098228455,"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9926000237464905,"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/derivative","display_name":"Derivative (finance)","score":0.6707780361175537},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5496897101402283},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.5257557034492493},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4703065752983093},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.431873619556427},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43107354640960693},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41132885217666626},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39124399423599243},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.34932243824005127},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.33052417635917664},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12835177779197693},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.12273797392845154},{"id":"https://openalex.org/keywords/computational-chemistry","display_name":"Computational chemistry","score":0.0768803060054779},{"id":"https://openalex.org/keywords/financial-economics","display_name":"Financial economics","score":0.06532517075538635},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.06488272547721863}],"concepts":[{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.6707780361175537},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5496897101402283},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.5257557034492493},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4703065752983093},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.431873619556427},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43107354640960693},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41132885217666626},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39124399423599243},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.34932243824005127},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.33052417635917664},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12835177779197693},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.12273797392845154},{"id":"https://openalex.org/C147597530","wikidata":"https://www.wikidata.org/wiki/Q369472","display_name":"Computational chemistry","level":1,"score":0.0768803060054779},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.06532517075538635},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.06488272547721863}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/17m1129179","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1129179","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-01507368v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01507368","pdf_url":"https://hal.science/hal-01507368v1/document","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":"SIAM/ASA Journal on Uncertainty Quantification, 2018, 6 (3), pp.991-1018. ⟨10.1137/17M1129179⟩","raw_type":"Journal articles"},{"id":"pmh:oai:boris.unibe.ch:119645","is_oa":true,"landing_page_url":"https://boris.unibe.ch/119645/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401086","display_name":"Bern Open Repository and Information System (University of Bern)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118564535","host_organization_name":"University of Bern","host_organization_lineage":["https://openalex.org/I118564535"],"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":"Marmin, S\u00e9bastien Guillaume; Ginsbourger, David; Baccou, Jean; Liandrat, Jacques (2018). Warped Gaussian Processes and Derivative-Based Sequential Designs for Functions with Heterogeneous Variations. SIAM/ASA Journal on Uncertainty Quantification, 6(3), pp. 991-1018. Society for Industrial and Applied Mathematics 10.1137/17M1129179 <http://dx.doi.org/10.1137/17M1129179>","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:infoscience.epfl.ch:256301","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/256301","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":"http://infoscience.epfl.ch/record/256301","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01507368v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01507368","pdf_url":"https://hal.science/hal-01507368v1/document","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":"SIAM/ASA Journal on Uncertainty Quantification, 2018, 6 (3), pp.991-1018. ⟨10.1137/17M1129179⟩","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2607746587.pdf","grobid_xml":"https://content.openalex.org/works/W2607746587.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W147369072","https://openalex.org/W190473450","https://openalex.org/W1510052597","https://openalex.org/W1571870753","https://openalex.org/W1758903565","https://openalex.org/W1840389249","https://openalex.org/W1914588449","https://openalex.org/W1969513389","https://openalex.org/W1972655542","https://openalex.org/W1978156694","https://openalex.org/W1986454681","https://openalex.org/W2007676551","https://openalex.org/W2016208159","https://openalex.org/W2018044188","https://openalex.org/W2021804456","https://openalex.org/W2042054333","https://openalex.org/W2043653481","https://openalex.org/W2050497240","https://openalex.org/W2092127669","https://openalex.org/W2092271904","https://openalex.org/W2111051456","https://openalex.org/W2133118715","https://openalex.org/W2135892144","https://openalex.org/W2149124654","https://openalex.org/W2151479892","https://openalex.org/W2153347097","https://openalex.org/W2166566250","https://openalex.org/W2168464387","https://openalex.org/W2171993497","https://openalex.org/W2176590429","https://openalex.org/W2195861446","https://openalex.org/W2314144375","https://openalex.org/W2592279581","https://openalex.org/W2799137445","https://openalex.org/W2953308237","https://openalex.org/W2962731272","https://openalex.org/W3101730079","https://openalex.org/W3196808556","https://openalex.org/W4237450968"],"related_works":["https://openalex.org/W2381413256","https://openalex.org/W2112385259","https://openalex.org/W2363926780","https://openalex.org/W2348241498","https://openalex.org/W2951455966","https://openalex.org/W1997165612","https://openalex.org/W2056231843","https://openalex.org/W82723519","https://openalex.org/W1964286703","https://openalex.org/W2169866437"],"abstract_inverted_index":{"Gaussian":[0,207],"process":[1],"(GP)":[2],"models":[3,157],"have":[4],"become":[5],"popular":[6],"for":[7,38,243],"approximating":[8],"and":[9,17,23,34,76,103,108,132,135,156,213,228],"exploring":[10],"nonlinear":[11],"systems":[12,48],"using":[13],"scarce":[14],"input/output":[15],"samples":[16],"prior":[18],"hypotheses":[19],"done":[20],"through":[21,128],"mean":[22],"covariance":[24],"functions.":[25],"While":[26],"it":[27,43,136,140,246],"is":[28,44,126,137,201,247],"common":[29],"to":[30,116,151],"make":[31],"stationarity":[32],"assumptions":[33],"use":[35],"variance-based":[36,181,192],"criteria":[37,114,178,182,193],"exploration,":[39],"in":[40,183,226,239,251],"realistic":[41],"cases":[42],"not":[45],"rare":[46],"that":[47,96,139],"under":[49],"study":[50],"exhibit":[51],"a":[52,64,90,161,187,215],"heterogeneous":[53],"behavior":[54],"depending":[55],"on":[56,160,210,214],"regions":[57],"of":[58,66,81,93,100,104,119,149,175,186],"the":[59,79,117,147,176,184,205,220,232,240,252],"parameter":[60],"space.":[61],"We":[62],"consider":[63],"class":[65,92,125],"problems":[67],"where":[68],"high":[69],"variations":[70],"occur":[71],"along":[72],"unknown":[73],"noncanonical":[74],"directions":[75],"we":[77,88,110],"tackle":[78],"problem":[80],"accommodating":[82],"nonstationarity":[83],"from":[84,165],"two":[85],"angles.":[86],"First":[87],"define":[89],"novel":[91,123],"covariances":[94],"(WaMI-GP)":[95],"simultaneously":[97],"generalizes":[98],"kernels":[99],"multiple":[101],"index":[102],"tensorized":[105],"warped":[106],"GPs,":[107],"second,":[109],"introduce":[111],"derivative-based":[112],"sampling":[113],"dedicated":[115],"exploration":[118],"high-variation":[120],"regions.":[121],"The":[122],"GP":[124,189],"investigated":[127],"both":[129],"mathematical":[130],"analysis":[131],"numerical":[133],"experiments,":[134],"shown":[138],"allows":[141],"encoding":[142],"much":[143],"expressiveness":[144],"while":[145,235],"keeping":[146],"number":[148],"parameters":[150],"be":[152],"inferred":[153],"moderate.":[154],"Criteria":[155],"are":[158],"compared":[159,203],"mechanical":[162],"test":[163,217],"case":[164,185],"safety":[166],"studies":[167],"conducted":[168],"by":[169,249],"IRSN.":[170],"On":[171],"this":[172,211],"application":[173,212],"some":[174],"proposed":[177],"outperform":[179],"usual":[180],"stationary":[188],"model;":[190],"however,":[191],"with":[194,204],"WaMI-GP":[195,223,250],"perform":[196],"even":[197],"better.":[198],"Our":[199],"method":[200],"also":[202],"treed":[206],"processes":[208],"(TGP)":[209],"NASA":[216,233],"case.":[218],"In":[219,231],"IRSN":[221],"application,":[222,234],"dominates":[224,238],"TGP":[225,236],"static":[227,241],"sequential":[229,253],"settings.":[230],"clearly":[237],"case,":[242],"small":[244],"designs":[245],"outperformed":[248],"setup.":[254]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-14T08:04:32.555800","created_date":"2025-10-10T00:00:00"}