{"id":"https://openalex.org/W2976846222","doi":"https://doi.org/10.1080/00401706.2019.1692696","title":"Gaussian Process Modeling of Heterogeneity and Discontinuities Using Voronoi Tessellations","display_name":"Gaussian Process Modeling of Heterogeneity and Discontinuities Using Voronoi Tessellations","publication_year":2019,"publication_date":"2019-11-19","ids":{"openalex":"https://openalex.org/W2976846222","doi":"https://doi.org/10.1080/00401706.2019.1692696","mag":"2976846222"},"language":"en","primary_location":{"id":"doi:10.1080/00401706.2019.1692696","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00401706.2019.1692696","pdf_url":null,"source":{"id":"https://openalex.org/S985303","display_name":"Technometrics","issn_l":"0040-1706","issn":["0040-1706","1537-2723"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Technometrics","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/1802.05530","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039756537","display_name":"Christopher A. Pope","orcid":"https://orcid.org/0000-0001-6127-9728"},"institutions":[{"id":"https://openalex.org/I130828816","display_name":"University of Leeds","ror":"https://ror.org/024mrxd33","country_code":"GB","type":"education","lineage":["https://openalex.org/I130828816"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Christopher A. Pope","raw_affiliation_strings":["School of Mathematics, University of Leeds, Leeds, UK","School of Mathematics, University of Leeds, Leeds, UK#TAB#"],"raw_orcid":"https://orcid.org/0000-0001-6127-9728","affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Leeds, Leeds, UK","institution_ids":["https://openalex.org/I130828816"]},{"raw_affiliation_string":"School of Mathematics, University of Leeds, Leeds, UK#TAB#","institution_ids":["https://openalex.org/I130828816"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041706017","display_name":"John Paul Gosling","orcid":"https://orcid.org/0000-0002-4072-3022"},"institutions":[{"id":"https://openalex.org/I130828816","display_name":"University of Leeds","ror":"https://ror.org/024mrxd33","country_code":"GB","type":"education","lineage":["https://openalex.org/I130828816"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"John Paul Gosling","raw_affiliation_strings":["School of Mathematics, University of Leeds, Leeds, UK","School of Mathematics, University of Leeds, Leeds, UK#TAB#"],"raw_orcid":"https://orcid.org/0000-0002-4072-3022","affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Leeds, Leeds, UK","institution_ids":["https://openalex.org/I130828816"]},{"raw_affiliation_string":"School of Mathematics, University of Leeds, Leeds, UK#TAB#","institution_ids":["https://openalex.org/I130828816"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074869650","display_name":"Stuart Barber","orcid":"https://orcid.org/0000-0002-7611-7219"},"institutions":[{"id":"https://openalex.org/I130828816","display_name":"University of Leeds","ror":"https://ror.org/024mrxd33","country_code":"GB","type":"education","lineage":["https://openalex.org/I130828816"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Stuart Barber","raw_affiliation_strings":["School of Mathematics, University of Leeds, Leeds, UK","School of Mathematics, University of Leeds, Leeds, UK#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Leeds, Leeds, UK","institution_ids":["https://openalex.org/I130828816"]},{"raw_affiliation_string":"School of Mathematics, University of Leeds, Leeds, UK#TAB#","institution_ids":["https://openalex.org/I130828816"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073831977","display_name":"Jill S. Johnson","orcid":"https://orcid.org/0000-0002-4587-6722"},"institutions":[{"id":"https://openalex.org/I130828816","display_name":"University of Leeds","ror":"https://ror.org/024mrxd33","country_code":"GB","type":"education","lineage":["https://openalex.org/I130828816"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jill S. Johnson","raw_affiliation_strings":["School of Earth and Environment, University of Leeds, Leeds, UK","School of Earth and  Environment, University of Leeds, Leeds, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Earth and Environment, University of Leeds, Leeds, UK","institution_ids":["https://openalex.org/I130828816"]},{"raw_affiliation_string":"School of Earth and  Environment, University of Leeds, Leeds, UK","institution_ids":["https://openalex.org/I130828816"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054038608","display_name":"Takanobu Yamaguchi","orcid":"https://orcid.org/0000-0001-8059-0757"},"institutions":[{"id":"https://openalex.org/I80605987","display_name":"NOAA Earth System Research Laboratory","ror":"https://ror.org/033tt8e33","country_code":"US","type":"funder","lineage":["https://openalex.org/I1308126019","https://openalex.org/I1343035065","https://openalex.org/I2802992173","https://openalex.org/I80605987"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Takanobu Yamaguchi","raw_affiliation_strings":["Chemical Sciences Division, Earth System Research Laboratory, National Ocean and Atmospheric Administration, Boulder, CO"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chemical Sciences Division, Earth System Research Laboratory, National Ocean and Atmospheric Administration, Boulder, CO","institution_ids":["https://openalex.org/I80605987"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086089877","display_name":"Graham Feingold","orcid":"https://orcid.org/0000-0002-0774-2926"},"institutions":[{"id":"https://openalex.org/I80605987","display_name":"NOAA Earth System Research Laboratory","ror":"https://ror.org/033tt8e33","country_code":"US","type":"funder","lineage":["https://openalex.org/I1308126019","https://openalex.org/I1343035065","https://openalex.org/I2802992173","https://openalex.org/I80605987"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Graham Feingold","raw_affiliation_strings":["Chemical Sciences Division, Earth System Research Laboratory, National Ocean and Atmospheric Administration, Boulder, CO"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chemical Sciences Division, Earth System Research Laboratory, National Ocean and Atmospheric Administration, Boulder, CO","institution_ids":["https://openalex.org/I80605987"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036384310","display_name":"Paul G. Blackwell","orcid":"https://orcid.org/0000-0002-3141-4914"},"institutions":[{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Paul G. Blackwell","raw_affiliation_strings":["School of Mathematics and Statistics, University of Sheffield, Sheffield, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, University of Sheffield, Sheffield, UK","institution_ids":["https://openalex.org/I91136226"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5074869650"],"corresponding_institution_ids":["https://openalex.org/I130828816"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.08814739,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"63","issue":"1","first_page":"53","last_page":"63"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10770","display_name":"Soil Geostatistics and Mapping","score":0.9951000213623047,"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"}},"topics":[{"id":"https://openalex.org/T10770","display_name":"Soil Geostatistics and Mapping","score":0.9951000213623047,"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9646000266075134,"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"}},{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9200000166893005,"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/voronoi-diagram","display_name":"Voronoi diagram","score":0.9452806115150452},{"id":"https://openalex.org/keywords/centroidal-voronoi-tessellation","display_name":"Centroidal Voronoi tessellation","score":0.869109034538269},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.6229029893875122},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.6226291656494141},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6145559549331665},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.5801432132720947},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5800510048866272},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5638707876205444},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5544127225875854},{"id":"https://openalex.org/keywords/space-partitioning","display_name":"Space partitioning","score":0.5136129856109619},{"id":"https://openalex.org/keywords/spatial-analysis","display_name":"Spatial analysis","score":0.4653984010219574},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.42652103304862976},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3693619668483734},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3669840097427368},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36548346281051636},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12222647666931152},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10228383541107178},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.0948234498500824}],"concepts":[{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.9452806115150452},{"id":"https://openalex.org/C205672865","wikidata":"https://www.wikidata.org/wiki/Q5062961","display_name":"Centroidal Voronoi tessellation","level":3,"score":0.869109034538269},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.6229029893875122},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6226291656494141},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6145559549331665},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.5801432132720947},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5800510048866272},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5638707876205444},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5544127225875854},{"id":"https://openalex.org/C13670688","wikidata":"https://www.wikidata.org/wiki/Q3500548","display_name":"Space partitioning","level":2,"score":0.5136129856109619},{"id":"https://openalex.org/C159620131","wikidata":"https://www.wikidata.org/wiki/Q1938983","display_name":"Spatial analysis","level":2,"score":0.4653984010219574},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.42652103304862976},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3693619668483734},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3669840097427368},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36548346281051636},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12222647666931152},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10228383541107178},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0948234498500824},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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":9,"locations":[{"id":"doi:10.1080/00401706.2019.1692696","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00401706.2019.1692696","pdf_url":null,"source":{"id":"https://openalex.org/S985303","display_name":"Technometrics","issn_l":"0040-1706","issn":["0040-1706","1537-2723"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Technometrics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1802.05530","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1802.05530","pdf_url":"https://arxiv.org/pdf/1802.05530","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":"pmh:oai:figshare.com:article/10358675","is_oa":true,"landing_page_url":null,"pdf_url":"https://figshare.com/articles/Gaussian_process_modeling_of_heterogeneity_and_discontinuities_using_Voronoi_tessellations/10358675","source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"mag:2976846222","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1802.05530","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:durham-repository.worktribe.com:1208106","is_oa":true,"landing_page_url":"https://durham-repository.worktribe.com/output/1208106","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"},{"id":"doi:10.48550/arxiv.1802.05530","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1802.05530","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"},{"id":"doi:10.6084/m9.figshare.10358675","is_oa":true,"landing_page_url":"https://doi.org/10.6084/m9.figshare.10358675","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.6084/m9.figshare.10358675.v1","is_oa":true,"landing_page_url":"https://doi.org/10.6084/m9.figshare.10358675.v1","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.6084/m9.figshare.10358675.v2","is_oa":true,"landing_page_url":"https://doi.org/10.6084/m9.figshare.10358675.v2","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1802.05530","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1802.05530","pdf_url":"https://arxiv.org/pdf/1802.05530","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W190473450","https://openalex.org/W1510924284","https://openalex.org/W1520585082","https://openalex.org/W1964490787","https://openalex.org/W1967579272","https://openalex.org/W1967910251","https://openalex.org/W1977715424","https://openalex.org/W1991788899","https://openalex.org/W1992123139","https://openalex.org/W1993361881","https://openalex.org/W2018044188","https://openalex.org/W2040850257","https://openalex.org/W2040932457","https://openalex.org/W2041178793","https://openalex.org/W2050497240","https://openalex.org/W2053934160","https://openalex.org/W2063188271","https://openalex.org/W2069626069","https://openalex.org/W2072772803","https://openalex.org/W2076474160","https://openalex.org/W2080006911","https://openalex.org/W2083027289","https://openalex.org/W2090766112","https://openalex.org/W2092271904","https://openalex.org/W2092924973","https://openalex.org/W2095477599","https://openalex.org/W2099109324","https://openalex.org/W2106706098","https://openalex.org/W2132742519","https://openalex.org/W2151150361","https://openalex.org/W2167158782","https://openalex.org/W2240895166","https://openalex.org/W2257373755","https://openalex.org/W2326614465","https://openalex.org/W2484039423","https://openalex.org/W2496675188","https://openalex.org/W2530494228","https://openalex.org/W2890622637","https://openalex.org/W2962853524","https://openalex.org/W4232423191","https://openalex.org/W4239339957","https://openalex.org/W4249753629"],"related_works":["https://openalex.org/W2785511758","https://openalex.org/W2990394323","https://openalex.org/W2800169962","https://openalex.org/W2182365035","https://openalex.org/W3098463574","https://openalex.org/W2799553054","https://openalex.org/W3169973309","https://openalex.org/W144364448","https://openalex.org/W90034108","https://openalex.org/W2283431359","https://openalex.org/W1574913699","https://openalex.org/W3176981245","https://openalex.org/W2094351426","https://openalex.org/W3040565862","https://openalex.org/W2781952228","https://openalex.org/W3105697254","https://openalex.org/W1575120176","https://openalex.org/W2325904804","https://openalex.org/W3144494295","https://openalex.org/W134137943"],"abstract_inverted_index":{"Abstract":[0],"Many":[1],"methods":[2],"for":[3,24,184],"modeling":[4,25],"functions":[5,26],"over":[6,58,139],"high-dimensional":[7],"spaces":[8],"assume":[9],"global":[10],"smoothness":[11],"properties;":[12],"such":[13,92,116],"assumptions":[14],"are":[15,187],"often":[16,100],"violated":[17],"in":[18,131,136],"practice.":[19],"We":[20],"introduce":[21],"a":[22,40,153],"method":[23,67,110,119,168],"that":[27,158],"display":[28],"heterogeneity":[29,34],"or":[30],"contain":[31],"discontinuities.":[32],"The":[33,65,118],"is":[35,68,99,120,164],"dealt":[36],"with":[37],"by":[38,122],"using":[39],"combination":[41],"of":[42,61,101,162],"Voronoi":[43,75],"tessellation,":[44],"to":[45,54,77,79,88,111,128],"partition":[46],"the":[47,56,62,74,95,140,160,166,172],"input":[48],"space,":[49],"and":[50,85,104,125,146],"separate":[51],"Gaussian":[52,144],"processes":[53],"model":[55,157],"function":[57],"different":[59],"regions":[60,87,98],"partitioned":[63],"space.":[64],"proposed":[66,167],"highly":[69],"flexible":[70],"since":[71],"it":[72],"allows":[73],"cells":[76],"combine":[78],"form":[80],"regions,":[81],"which":[82,132],"enables":[83],"nonconvex":[84],"disconnected":[86],"be":[89],"considered.":[90],"In":[91,150],"problems,":[93],"identifying":[94],"borders":[96],"between":[97],"great":[102],"importance":[103],"we":[105,133],"propose":[106],"an":[107,126],"adaptive":[108],"sampling":[109],"gain":[112],"extra":[113],"information":[114],"along":[115],"borders.":[117],"illustrated":[121],"simulated":[123],"examples":[124],"application":[127],"real":[129],"data,":[130],"see":[134],"improvements":[135],"prediction":[137],"error":[138],"commonly":[141],"used":[142],"stationary":[143],"process":[145,174],"other":[147],"nonstationary":[148],"variations.":[149],"our":[151],"application,":[152],"computationally":[154],"expensive":[155],"computer":[156],"simulates":[159],"formation":[161],"clouds":[163],"investigated,":[165],"more":[169],"accurately":[170],"predicts":[171],"underlying":[173],"at":[175],"unobserved":[176],"locations":[177],"than":[178],"existing":[179],"emulation":[180],"methods.":[181],"Supplementary":[182],"materials":[183],"this":[185],"article":[186],"available":[188],"online.":[189]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-14T07:44:22.658603","created_date":"2025-10-10T00:00:00"}