{"id":"https://openalex.org/W2314144375","doi":"https://doi.org/10.1137/15m1032740","title":"Polar Gaussian Processes and Experimental Designs in Circular Domains","display_name":"Polar Gaussian Processes and Experimental Designs in Circular Domains","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2314144375","doi":"https://doi.org/10.1137/15m1032740","mag":"2314144375"},"language":"en","primary_location":{"id":"doi:10.1137/15m1032740","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1032740","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023932449","display_name":"Esp\u00e9ran Padonou","orcid":null},"institutions":[{"id":"https://openalex.org/I154490720","display_name":"\u00c9cole Nationale d'Ing\u00e9nieurs de Saint-\u00c9tienne","ror":"https://ror.org/017cfeh02","country_code":"FR","type":"education","lineage":["https://openalex.org/I154490720","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I4210104097","display_name":"Institut Sup\u00e9rieur d\u2019Informatique, de Mod\u00e9lisation et de leurs Applications","ror":"https://ror.org/01bv2n867","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210104097"]},{"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/I4210099416","display_name":"Laboratoire d'Informatique, de Mod\u00e9lisation et d'Optimisation des Syst\u00e8mes","ror":"https://ror.org/00t3fpp34","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I198244214","https://openalex.org/I203339264","https://openalex.org/I205703379","https://openalex.org/I3019848993","https://openalex.org/I4210099416","https://openalex.org/I4210123221","https://openalex.org/I4210159245","https://openalex.org/I4387154249"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Esperan Padonou","raw_affiliation_strings":["LIMOS - Laboratoire d'Informatique, de Mod\u00e9lisation et d'optimisation des Syst\u00e8mes (B\u00e2t ISIMA Campus des C\u00e9zeaux BP 10025 63173 AUBIERE cedex - France)","DEMO-ENSMSE - D\u00e9partement D\u00e9cision en Entreprise : Mod\u00e9lisation, Optimisation (158 cours Fauriel 42023 Saint-Etienne Cedex 2 - France)"],"affiliations":[{"raw_affiliation_string":"LIMOS - Laboratoire d'Informatique, de Mod\u00e9lisation et d'optimisation des Syst\u00e8mes (B\u00e2t ISIMA Campus des C\u00e9zeaux BP 10025 63173 AUBIERE cedex - France)","institution_ids":["https://openalex.org/I4210099416","https://openalex.org/I4210104097"]},{"raw_affiliation_string":"DEMO-ENSMSE - D\u00e9partement D\u00e9cision en Entreprise : Mod\u00e9lisation, Optimisation (158 cours Fauriel 42023 Saint-Etienne Cedex 2 - France)","institution_ids":["https://openalex.org/I154490720","https://openalex.org/I3019848993"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075037996","display_name":"Olivier Roustant","orcid":null},"institutions":[{"id":"https://openalex.org/I154490720","display_name":"\u00c9cole Nationale d'Ing\u00e9nieurs de Saint-\u00c9tienne","ror":"https://ror.org/017cfeh02","country_code":"FR","type":"education","lineage":["https://openalex.org/I154490720","https://openalex.org/I203339264"]},{"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":["DEMO-ENSMSE - D\u00e9partement D\u00e9cision en Entreprise : Mod\u00e9lisation, Optimisation (158 cours Fauriel 42023 Saint-Etienne Cedex 2 - France)","GdR MASCOT-NUM - M\u00e9thodes d'Analyse Stochastique des Codes et Traitements Num\u00e9riques (France)"],"affiliations":[{"raw_affiliation_string":"DEMO-ENSMSE - D\u00e9partement D\u00e9cision en Entreprise : Mod\u00e9lisation, Optimisation (158 cours Fauriel 42023 Saint-Etienne Cedex 2 - France)","institution_ids":["https://openalex.org/I154490720","https://openalex.org/I3019848993"]},{"raw_affiliation_string":"GdR MASCOT-NUM - M\u00e9thodes d'Analyse Stochastique des Codes et Traitements Num\u00e9riques (France)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023932449"],"corresponding_institution_ids":["https://openalex.org/I154490720","https://openalex.org/I3019848993","https://openalex.org/I4210099416","https://openalex.org/I4210104097"],"apc_list":null,"apc_paid":null,"fwci":0.7254,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.7422062,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"4","issue":"1","first_page":"1014","last_page":"1033"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9926999807357788,"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":0.9926999807357788,"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/T10770","display_name":"Soil Geostatistics and Mapping","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11798","display_name":"Optimal Experimental Design Methods","score":0.9829999804496765,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.620672345161438},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.6127958297729492},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.6016370058059692},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.5395850539207458},{"id":"https://openalex.org/keywords/polar","display_name":"Polar","score":0.5363553762435913},{"id":"https://openalex.org/keywords/polar-coordinate-system","display_name":"Polar coordinate system","score":0.5000965595245361},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4907909333705902},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.4777780771255493},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4494034945964813},{"id":"https://openalex.org/keywords/ellipse","display_name":"Ellipse","score":0.4367194175720215},{"id":"https://openalex.org/keywords/log-polar-coordinates","display_name":"Log-polar coordinates","score":0.41891908645629883},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40911591053009033},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3994004726409912},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36946815252304077},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3335140347480774},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32057178020477295},{"id":"https://openalex.org/keywords/cartesian-coordinate-system","display_name":"Cartesian coordinate system","score":0.19367659091949463},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18677666783332825},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18656310439109802},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1153573989868164}],"concepts":[{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.620672345161438},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.6127958297729492},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6016370058059692},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.5395850539207458},{"id":"https://openalex.org/C29705727","wikidata":"https://www.wikidata.org/wiki/Q294562","display_name":"Polar","level":2,"score":0.5363553762435913},{"id":"https://openalex.org/C40069579","wikidata":"https://www.wikidata.org/wiki/Q62494","display_name":"Polar coordinate system","level":2,"score":0.5000965595245361},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4907909333705902},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.4777780771255493},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4494034945964813},{"id":"https://openalex.org/C74261601","wikidata":"https://www.wikidata.org/wiki/Q40112","display_name":"Ellipse","level":2,"score":0.4367194175720215},{"id":"https://openalex.org/C136364276","wikidata":"https://www.wikidata.org/wiki/Q6666761","display_name":"Log-polar coordinates","level":3,"score":0.41891908645629883},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40911591053009033},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3994004726409912},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36946815252304077},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3335140347480774},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32057178020477295},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.19367659091949463},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18677666783332825},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18656310439109802},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1153573989868164},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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:10.1137/15m1032740","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1032740","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:emse-01412189v1","is_oa":false,"landing_page_url":"https://hal-emse.ccsd.cnrs.fr/emse-01412189","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":"SIAM/ASA Journal on Uncertainty Quantification, 2016, 4 (1), pp.1014 - 1033. &#x27E8;10.1137/15M1032740&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.49000000953674316}],"awards":[],"funders":[{"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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W65621196","https://openalex.org/W1554944419","https://openalex.org/W1594343652","https://openalex.org/W1840389249","https://openalex.org/W2006025735","https://openalex.org/W2017486265","https://openalex.org/W2019489481","https://openalex.org/W2024419927","https://openalex.org/W2024697317","https://openalex.org/W2031292192","https://openalex.org/W2038669746","https://openalex.org/W2046916337","https://openalex.org/W2056145269","https://openalex.org/W2056424034","https://openalex.org/W2083440700","https://openalex.org/W2096599623","https://openalex.org/W2107466517","https://openalex.org/W2119120767","https://openalex.org/W2135348862","https://openalex.org/W2141955292","https://openalex.org/W2161393095","https://openalex.org/W3101046454","https://openalex.org/W3104886058"],"related_works":["https://openalex.org/W3021938232","https://openalex.org/W2394253022","https://openalex.org/W4297954213","https://openalex.org/W2038772909","https://openalex.org/W2379450767","https://openalex.org/W2373826460","https://openalex.org/W4246762710","https://openalex.org/W2145471964","https://openalex.org/W2060783810","https://openalex.org/W4243707844"],"abstract_inverted_index":{"Predicting":[0],"on":[1,65,91,97,104,116],"circular":[2],"domains":[3],"is":[4,102,145],"a":[5,40,48,51,76,79,85,128],"central":[6],"issue":[7],"that":[8],"can":[9],"be":[10,39],"addressed":[11],"by":[12,126],"Gaussian":[13],"process":[14],"(GP)":[15],"regression.":[16],"However,":[17],"usual":[18],"GP":[19],"models":[20],"do":[21],"not":[22],"take":[23],"into":[24],"account":[25],"the":[26,29,54,57,66,82,88,98,111,117,139],"geometry":[27],"of":[28,56,68,78,113,138],"disk":[30],"in":[31],"their":[32],"covariance":[33],"structure":[34],"(or":[35],"kernel),":[36],"which":[37],"may":[38],"drawback":[41],"at":[42],"least":[43],"for":[44,81,87,132],"industrial":[45,106],"processes":[46],"involving":[47],"rotation":[49],"or":[50,94],"diffusion":[52],"from":[53],"center":[55],"disk.":[58,118],"We":[59,108],"introduce":[60],"so-called":[61],"polar":[62,69,133],"GPs":[63],"defined":[64],"space":[67],"coordinates.":[70,134],"Their":[71,100],"kernels":[72],"are":[73,124],"obtained":[74],"as":[75],"combination":[77],"kernel":[80,86],"radius":[83],"and":[84],"angle,":[89],"based":[90],"either":[92],"chordal":[93],"geodesic":[95],"distances":[96],"circle.":[99],"efficiency":[101],"illustrated":[103],"two":[105],"applications.":[107],"further":[109],"consider":[110],"problem":[112],"designing":[114],"experiments":[115],"Two":[119],"new":[120],"Latin":[121],"hypercube":[122],"designs":[123],"obtained,":[125],"defining":[127],"valid":[129],"maximin":[130],"criterion":[131],"Finally,":[135],"an":[136],"extension":[137],"whole":[140],"methodology":[141],"to":[142],"higher":[143],"dimensions":[144],"investigated.":[146]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-04T08:04:53.788161","created_date":"2025-10-10T00:00:00"}
