{"id":"https://openalex.org/W7134899878","doi":"https://doi.org/10.32614/rj-2025-033","title":"LHD: An All-encompassing R Package for Constructing Optimal Latin Hypercube Designs","display_name":"LHD: An All-encompassing R Package for Constructing Optimal Latin Hypercube Designs","publication_year":2026,"publication_date":"2026-01-05","ids":{"openalex":"https://openalex.org/W7134899878","doi":"https://doi.org/10.32614/rj-2025-033"},"language":"en","primary_location":{"id":"doi:10.32614/rj-2025-033","is_oa":true,"landing_page_url":"https://doi.org/10.32614/rj-2025-033","pdf_url":"https://journal.r-project.org/articles/RJ-2025-033/RJ-2025-033.pdf","source":{"id":"https://openalex.org/S2489169438","display_name":"The R Journal","issn_l":"2073-4859","issn":["2073-4859"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The R Journal","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://journal.r-project.org/articles/RJ-2025-033/RJ-2025-033.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029165809","display_name":"H. Holly Wang","orcid":"https://orcid.org/0000-0001-6929-4201"},"institutions":[{"id":"https://openalex.org/I4210142271","display_name":"Wan Fang Hospital","ror":"https://ror.org/058y0nn10","country_code":"TW","type":"healthcare","lineage":["https://openalex.org/I4210142271"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Hongzhi Wang","raw_affiliation_strings":["[wanghongzhi.ut@gmail.com](wanghongzhi.ut@gmail.com){.uri}"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"[wanghongzhi.ut@gmail.com](wanghongzhi.ut@gmail.com){.uri}","institution_ids":["https://openalex.org/I4210142271"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050415198","display_name":"Qian Xiao","orcid":"https://orcid.org/0000-0001-7869-7109"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qian Xiao","raw_affiliation_strings":["Department of Statistics, School of Mathematical Sciences, Shanghai\nJiao Tong University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, School of Mathematical Sciences, Shanghai\nJiao Tong University","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084419948","display_name":"Abhyuday Mandal","orcid":"https://orcid.org/0000-0001-9461-1483"},"institutions":[{"id":"https://openalex.org/I165733156","display_name":"University of Georgia","ror":"https://ror.org/00te3t702","country_code":"US","type":"education","lineage":["https://openalex.org/I165733156"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Abhyuday Mandal","raw_affiliation_strings":["Department of Statistics, University of Georgia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, University of Georgia","institution_ids":["https://openalex.org/I165733156"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.2959827,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"4","first_page":"20","last_page":"36"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.5142999887466431,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10829","display_name":"Interconnection Networks and Systems","score":0.5142999887466431,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.2433999925851822,"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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.062199998646974564,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.27079999446868896},{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.25929999351501465},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.2587999999523163},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.257099986076355}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5746999979019165},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42489999532699585},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3312000036239624},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.310699999332428},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.27079999446868896},{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.25929999351501465},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.2587999999523163},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.257099986076355},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.25609999895095825},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.24860000610351562}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.32614/rj-2025-033","is_oa":true,"landing_page_url":"https://doi.org/10.32614/rj-2025-033","pdf_url":"https://journal.r-project.org/articles/RJ-2025-033/RJ-2025-033.pdf","source":{"id":"https://openalex.org/S2489169438","display_name":"The R Journal","issn_l":"2073-4859","issn":["2073-4859"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The R Journal","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.32614/rj-2025-033","is_oa":true,"landing_page_url":"https://doi.org/10.32614/rj-2025-033","pdf_url":"https://journal.r-project.org/articles/RJ-2025-033/RJ-2025-033.pdf","source":{"id":"https://openalex.org/S2489169438","display_name":"The R Journal","issn_l":"2073-4859","issn":["2073-4859"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The R Journal","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3166239907","display_name":"Collaborative Research: Design, Modeling and Active Learning of Quantitative-Sequence Experiments","funder_award_id":"2311186","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5928622526","display_name":null,"funder_award_id":"DMS-2311186","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7134899878.pdf","grobid_xml":"https://content.openalex.org/works/W7134899878.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Optimal":[0],"Latin":[1],"hypercube":[2],"designs":[3,27],"(LHDs),":[4],"including":[5],"maximin":[6,51,183],"distance":[7,52,184],"LHDs,":[8,14,131],"maximum":[9,192],"projection":[10],"LHDs":[11,102,174,185],"and":[12,108,122,137,150,164,221,241],"orthogonal":[13],"are":[15,56,69,166],"widely":[16],"used":[17],"in":[18,250],"computer":[19],"experiments.":[20],"It":[21],"is":[22,41,80,88,103,110,195,235],"challenging":[23],"to":[24,83,128,181,197,203,237],"construct":[25,182],"such":[26,45],"with":[28],"flexible":[29],"sizes,":[30],"especially":[31],"for":[32,35,59,113,225,239,247],"large":[33,114],"ones,":[34],"two":[36],"main":[37],"reasons.":[38],"One":[39],"reason":[40,87],"that":[42,89,190],"theoretical":[43,67],"results,":[44],"as":[46,244],"algebraic":[47,123,151],"constructions":[48,124],"ensuring":[49],"the":[50,94,141,161,200,215],"property":[53],"or":[54,115],"orthogonality,":[55],"only":[57],"available":[58],"certain":[60],"design":[61,64,91,117],"sizes.":[62,118],"For":[63],"sizes":[65,92],"where":[66],"results":[68],"unavailable,":[70],"search":[71,120,148,162,201],"algorithms":[72,121,149,202],"can":[73],"generate":[74],"designs.":[75,231],"However,":[76],"their":[77,208],"numerical":[78],"performance":[79],"not":[81],"guaranteed":[82],"be":[84],"optimal.":[85],"Another":[86,187],"when":[90],"increase,":[93],"number":[95],"of":[96,160,168,172,199,214],"permutations":[97],"grows":[98],"exponentially.":[99],"Constructing":[100],"optimal":[101,130,173,230],"a":[104,245],"discrete":[105],"optimization":[106],"process,":[107],"enumeration":[109],"nearly":[111],"impossible":[112],"moderate":[116],"Various":[119],"have":[125],"been":[126],"proposed":[127],"identify":[129],"each":[132,159,198],"having":[133],"its":[134],"own":[135],"pros":[136],"cons.":[138],"We":[139,153,211],"develop":[140],"R":[142],"package":[143,216,234],"LHD":[144,233],"which":[145],"implements":[146],"various":[147,219],"constructions.":[152],"embedded":[154],"different":[155,170],"optimality":[156],"criteria":[157],"into":[158],"algorithms,":[163],"they":[165,177],"capable":[167],"constructing":[169],"types":[171],"even":[175],"though":[176],"were":[178],"originally":[179],"invented":[180],"only.":[186],"input":[188],"argument":[189],"controls":[191],"CPU":[193],"time":[194],"added":[196],"let":[204],"users":[205],"flexibly":[206],"allocate":[207],"computational":[209],"resources.":[210],"demonstrate":[212],"functionalities":[213],"by":[217],"using":[218],"examples,":[220],"we":[222],"provide":[223],"guidance":[224],"experimenters":[226],"on":[227],"finding":[228],"suitable":[229],"The":[232],"easy":[236],"use":[238],"practitioners":[240],"possibly":[242],"serves":[243],"benchmark":[246],"future":[248],"developments":[249],"LHD.":[251]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-03-12T00:00:00"}
