{"id":"https://openalex.org/W4319992991","doi":"https://doi.org/10.1080/00401706.2023.2174602","title":"Design and Analysis of Computer Experiments with both Numeral and Distributional Inputs","display_name":"Design and Analysis of Computer Experiments with both Numeral and Distributional Inputs","publication_year":2023,"publication_date":"2023-01-31","ids":{"openalex":"https://openalex.org/W4319992991","doi":"https://doi.org/10.1080/00401706.2023.2174602"},"language":"en","primary_location":{"id":"doi:10.1080/00401706.2023.2174602","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00401706.2023.2174602","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":"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/A5101760476","display_name":"Chunya Li","orcid":"https://orcid.org/0000-0001-9173-8219"},"institutions":[{"id":"https://openalex.org/I141962983","display_name":"Shanghai University of Engineering Science","ror":"https://ror.org/0557b9y08","country_code":"CN","type":"education","lineage":["https://openalex.org/I141962983"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chunya Li","raw_affiliation_strings":["School of Mathematics, Physics, and Statistics, Shanghai University of Engineering Science","School of Mathematics, Physics, and Statistics, Shanghai University of Engineering Science, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Physics, and Statistics, Shanghai University of Engineering Science","institution_ids":["https://openalex.org/I141962983"]},{"raw_affiliation_string":"School of Mathematics, Physics, and Statistics, Shanghai University of Engineering Science, Shanghai, China","institution_ids":["https://openalex.org/I141962983"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010628708","display_name":"Xiaojun Cui","orcid":"https://orcid.org/0000-0001-9871-6928"},"institutions":[{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaojun Cui","raw_affiliation_strings":["Department of Mathematics, Nanjing University","Department of Mathematics, Nanjing University, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanjing University","institution_ids":["https://openalex.org/I881766915"]},{"raw_affiliation_string":"Department of Mathematics, Nanjing University, Nanjing, China","institution_ids":["https://openalex.org/I881766915"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022791475","display_name":"Shifeng Xiong","orcid":"https://orcid.org/0000-0002-9636-038X"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210095018","display_name":"National Center for Mathematics and Interdisciplinary Sciences","ror":"https://ror.org/00s97k668","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210095018"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shifeng Xiong","raw_affiliation_strings":["NCMIS, KLSC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences","NCMIS, KLSC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-9636-038X","affiliations":[{"raw_affiliation_string":"NCMIS, KLSC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences","institution_ids":["https://openalex.org/I4210120485"]},{"raw_affiliation_string":"NCMIS, KLSC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I4210095018","https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5022791475"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210095018","https://openalex.org/I4210120485"],"apc_list":null,"apc_paid":null,"fwci":1.0731,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.78399282,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"65","issue":"3","first_page":"406","last_page":"417"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9972000122070312,"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"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9972000122070312,"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"}},{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.993399977684021,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.9761000275611877,"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/measure","display_name":"Measure (data warehouse)","score":0.8071804046630859},{"id":"https://openalex.org/keywords/probability-measure","display_name":"Probability measure","score":0.6436694860458374},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6120633482933044},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5945085287094116},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.566899836063385},{"id":"https://openalex.org/keywords/product-topology","display_name":"Product topology","score":0.5647130012512207},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5417064428329468},{"id":"https://openalex.org/keywords/euclidean-distance","display_name":"Euclidean distance","score":0.5320426225662231},{"id":"https://openalex.org/keywords/gaussian-measure","display_name":"Gaussian measure","score":0.5092822313308716},{"id":"https://openalex.org/keywords/euclidean-distance-matrix","display_name":"Euclidean distance matrix","score":0.49698999524116516},{"id":"https://openalex.org/keywords/probability-mass-function","display_name":"Probability mass function","score":0.49386221170425415},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4888402819633484},{"id":"https://openalex.org/keywords/point-process","display_name":"Point process","score":0.4461193084716797},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.42136672139167786},{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.4197092652320862},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41375240683555603},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.2384890615940094},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1928066611289978},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18004712462425232},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.16708123683929443},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12092164158821106}],"concepts":[{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.8071804046630859},{"id":"https://openalex.org/C21031990","wikidata":"https://www.wikidata.org/wiki/Q355020","display_name":"Probability measure","level":2,"score":0.6436694860458374},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6120633482933044},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5945085287094116},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.566899836063385},{"id":"https://openalex.org/C123222754","wikidata":"https://www.wikidata.org/wiki/Q1070472","display_name":"Product topology","level":2,"score":0.5647130012512207},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5417064428329468},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.5320426225662231},{"id":"https://openalex.org/C2777630202","wikidata":"https://www.wikidata.org/wiki/Q5527840","display_name":"Gaussian measure","level":3,"score":0.5092822313308716},{"id":"https://openalex.org/C171558263","wikidata":"https://www.wikidata.org/wiki/Q5406122","display_name":"Euclidean distance matrix","level":3,"score":0.49698999524116516},{"id":"https://openalex.org/C197096303","wikidata":"https://www.wikidata.org/wiki/Q869887","display_name":"Probability mass function","level":3,"score":0.49386221170425415},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4888402819633484},{"id":"https://openalex.org/C88871306","wikidata":"https://www.wikidata.org/wiki/Q7208287","display_name":"Point process","level":2,"score":0.4461193084716797},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.42136672139167786},{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.4197092652320862},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41375240683555603},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.2384890615940094},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1928066611289978},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18004712462425232},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.16708123683929443},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12092164158821106},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00401706.2023.2174602","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00401706.2023.2174602","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5799999833106995,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[{"id":"https://openalex.org/G2464357064","display_name":null,"funder_award_id":"12171462","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2471203468","display_name":null,"funder_award_id":"2021YFA1000300","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G2614138880","display_name":null,"funder_award_id":"2021YFA1000303","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G3013816952","display_name":null,"funder_award_id":"12171234","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6295100791","display_name":null,"funder_award_id":"11790272","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8499130956","display_name":null,"funder_award_id":"2021YFA1000301","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W1540764732","https://openalex.org/W1824831786","https://openalex.org/W2003553868","https://openalex.org/W2003657827","https://openalex.org/W2016247157","https://openalex.org/W2051591670","https://openalex.org/W2053934160","https://openalex.org/W2056145269","https://openalex.org/W2098720801","https://openalex.org/W2150705946","https://openalex.org/W2162870748","https://openalex.org/W2293401948","https://openalex.org/W2399265967","https://openalex.org/W2507404680","https://openalex.org/W2555330454","https://openalex.org/W2611856457","https://openalex.org/W2739748921","https://openalex.org/W2809443913","https://openalex.org/W2934191826","https://openalex.org/W2964317164","https://openalex.org/W2977347434","https://openalex.org/W2977689784","https://openalex.org/W3010758268","https://openalex.org/W3023962223","https://openalex.org/W3039625734","https://openalex.org/W3044566039","https://openalex.org/W3045324548","https://openalex.org/W3082154183","https://openalex.org/W3106932903","https://openalex.org/W3129690166","https://openalex.org/W3134441381","https://openalex.org/W3199500355","https://openalex.org/W3203779568","https://openalex.org/W4200566118","https://openalex.org/W4206471589","https://openalex.org/W4213283575","https://openalex.org/W4220714553","https://openalex.org/W4233762729","https://openalex.org/W4237151101","https://openalex.org/W4237236652","https://openalex.org/W4249150173","https://openalex.org/W4296404848","https://openalex.org/W4300600608"],"related_works":["https://openalex.org/W2128606042","https://openalex.org/W4293871768","https://openalex.org/W1798180118","https://openalex.org/W4301157368","https://openalex.org/W2953033906","https://openalex.org/W1484071118","https://openalex.org/W4250216671","https://openalex.org/W118404227","https://openalex.org/W4224928691","https://openalex.org/W4319992991"],"abstract_inverted_index":{"Nowadays":[0],"stochastic":[1],"computer":[2,34,191],"simulations":[3],"with":[4,105,193],"both":[5,194],"numeral":[6,195],"and":[7,29,58,160,196,201],"distributional":[8,197],"inputs":[9],"are":[10,176,208],"widely":[11],"used":[12],"to":[13,76,90,107,146,187,204,210],"mimic":[14],"complex":[15],"systems":[16],"which":[17,98],"contain":[18],"a":[19,70,119,181,205],"great":[20],"deal":[21],"of":[22,32,54,93,100,127,134,156,167,214],"uncertainty.":[23],"This":[24],"article":[25],"studies":[26],"the":[27,42,51,55,59,67,73,77,84,91,94,102,108,112,128,143,153,157,161,212],"design":[28],"analysis":[30],"issues":[31],"such":[33],"experiments.":[35],"First,":[36],"we":[37,63,141,179],"provide":[38],"preliminary":[39],"results":[40,145],"concerning":[41],"Wasserstein":[43,109,129,148,182],"distance":[44,130],"in":[45,72,152,172],"probability":[46,60,79,95,121,137,162],"measure":[47,61,80,96,122,138,163],"spaces.":[48],"To":[49],"handle":[50],"product":[52,113,120,136,154,174],"space":[53,57,75,86,114,155,159,175],"Euclidean":[56,74,85,158],"space,":[62,97],"prove":[64],"that,":[65],"through":[66],"mapping":[68],"from":[69,190],"point":[71],"mass":[78,103],"at":[81],"this":[82,135,173],"point,":[83],"can":[87,115],"be":[88,116],"isomorphic":[89],"subset":[92],"consists":[99],"all":[101],"measures,":[104],"respect":[106],"distance.":[110],"Therefore,":[111],"viewed":[117],"as":[118],"space.":[123,139,164],"We":[124],"derive":[125],"formulas":[126],"between":[131],"two":[132],"components":[133],"Second,":[140],"use":[142],"above":[144],"construct":[147],"distance-based":[149,183],"space-filling":[150],"criteria":[151],"A":[165],"class":[166],"optimal":[168],"Latin":[169],"hypercube-type":[170],"designs":[171],"proposed.":[177],"Third,":[178],"present":[180],"Gaussian":[184],"process":[185],"model":[186],"analyze":[188],"data":[189],"experiments":[192],"inputs.":[198],"Numerical":[199],"examples":[200],"real":[202],"applications":[203],"metro":[206],"simulation":[207],"presented":[209],"show":[211],"effectiveness":[213],"our":[215],"methods.":[216]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}