{"data":{"id":"10.6084/m9.figshare.c.2113481","type":"dois","attributes":{"doi":"10.6084/m9.figshare.c.2113481","prefix":"10.6084","suffix":"m9.figshare.c.2113481","identifiers":[],"alternateIdentifiers":[],"creators":[{"name":"Long, Teng","givenName":"Teng","familyName":"Long","affiliation":[],"nameIdentifiers":[]},{"name":"Wu, Di","givenName":"Di","familyName":"Wu","affiliation":[],"nameIdentifiers":[]},{"name":"Chen, Xin","givenName":"Xin","familyName":"Chen","affiliation":[],"nameIdentifiers":[]},{"name":"Guo, Xiaosong","givenName":"Xiaosong","familyName":"Guo","affiliation":[],"nameIdentifiers":[]},{"name":"Liu, Li","givenName":"Li","familyName":"Liu","affiliation":[],"nameIdentifiers":[]}],"titles":[{"title":"A deterministic sequential maximin Latin hypercube design method using successive local enumeration for metamodel-based optimization"}],"publisher":"Taylor \u0026 Francis","container":{},"publicationYear":2015,"subjects":[{"subject":"Space Science"},{"subject":"Microbiology"},{"subject":"FOS: Biological sciences","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"Genetics"},{"subject":"Neuroscience"},{"subject":"Evolutionary Biology"},{"subject":"Chemical Sciences not elsewhere classified"},{"subject":"Ecology"},{"subject":"Immunology"},{"subject":"FOS: Clinical medicine","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"Biological Sciences not elsewhere classified"},{"subject":"Information Systems not elsewhere classified"},{"subject":"Mathematical Sciences not elsewhere classified"}],"contributors":[],"dates":[{"date":"2015-12-05","dateType":"Created"},{"date":"2019-08-19","dateType":"Updated"},{"date":"2015","dateType":"Issued"}],"language":null,"types":{"ris":"GEN","bibtex":"misc","citeproc":"article","schemaOrg":"Collection","resourceType":"Collection","resourceTypeGeneral":"Collection"},"relatedIdentifiers":[],"relatedItems":[],"sizes":[],"formats":[],"version":null,"rightsList":[{"rights":"Creative Commons Attribution 4.0 International","rightsUri":"https://creativecommons.org/licenses/by/4.0/legalcode","schemeUri":"https://spdx.org/licenses/","rightsIdentifier":"cc-by-4.0","rightsIdentifierScheme":"SPDX"}],"descriptions":[{"description":"Space-filling and projective properties of design of computer experiments methods are desired features for metamodelling. To enable the production of high-quality sequential samples, this article presents a novel deterministic sequential maximin Latin hypercube design (LHD) method using successive local enumeration, notated as sequential-successive local enumeration (S-SLE). First, a mesh-mapping algorithm is proposed to map the positions of existing points into the new hyper-chessboard to ensure the projective property. According to the maximin distance criterion, new sequential samples are generated through successive local enumeration iterations to improve the space-filling uniformity. Through a number of comparative studies, several appealing merits of S-SLE are demonstrated: (1) S-SLE outperforms several existing LHD methods in terms of sequential sampling quality; (2) it is flexible and robust enough to produce high-quality multiple-stage sequential samples; and (3) the proposed method can improve the overall performance of sequential metamodel-based optimization algorithms. Thus, S-SLE is a promising sequential LHD method for metamodel-based optimization.","descriptionType":"Abstract"}],"geoLocations":[],"fundingReferences":[],"xml":"PD94bWwgdmVyc2lvbj0iMS4wIiBlbmNvZGluZz0iVVRGLTgiPz4KPHJlc291cmNlIHhtbG5zPSJodHRwOi8vZGF0YWNpdGUub3JnL3NjaGVtYS9rZXJuZWwtNCIgeG1sbnM6eHNpPSJodHRwOi8vd3d3LnczLm9yZy8yMDAxL1hNTFNjaGVtYS1pbnN0YW5jZSIgeHNpOnNjaGVtYUxvY2F0aW9uPSJodHRwOi8vZGF0YWNpdGUub3JnL3NjaGVtYS9rZXJuZWwtNCBodHRwOi8vc2NoZW1hLmRhdGFjaXRlLm9yZy9tZXRhL2tlcm5lbC00LjQvbWV0YWRhdGEueHNkIj4KICA8aWRlbnRpZmllciBpZGVudGlmaWVyVHlwZT0iRE9JIj4xMC42MDg0L005LkZJR1NIQVJFLkMuMjExMzQ4MTwvaWRlbnRpZmllcj4KICA8Y3JlYXRvcnM+CiAgICA8Y3JlYXRvcj4KICAgICAgPGNyZWF0b3JOYW1lPlRlbmcgTG9uZzwvY3JlYXRvck5hbWU+CiAgICAgIDxnaXZlbk5hbWU+VGVuZzwvZ2l2ZW5OYW1lPgogICAgICA8ZmFtaWx5TmFtZT5Mb25nPC9mYW1pbHlOYW1lPgogICAgPC9jcmVhdG9yPgogICAgPGNyZWF0b3I+CiAgICAgIDxjcmVhdG9yTmFtZT5EaSBXdTwvY3JlYXRvck5hbWU+CiAgICAgIDxnaXZlbk5hbWU+RGk8L2dpdmVuTmFtZT4KICAgICAgPGZhbWlseU5hbWU+V3U8L2ZhbWlseU5hbWU+CiAgICA8L2NyZWF0b3I+CiAgICA8Y3JlYXRvcj4KICAgICAgPGNyZWF0b3JOYW1lPlhpbiBDaGVuPC9jcmVhdG9yTmFtZT4KICAgICAgPGdpdmVuTmFtZT5YaW48L2dpdmVuTmFtZT4KICAgICAgPGZhbWlseU5hbWU+Q2hlbjwvZmFtaWx5TmFtZT4KICAgIDwvY3JlYXRvcj4KICAgIDxjcmVhdG9yPgogICAgICA8Y3JlYXRvck5hbWU+WGlhb3NvbmcgR3VvPC9jcmVhdG9yTmFtZT4KICAgICAgPGdpdmVuTmFtZT5YaWFvc29uZzwvZ2l2ZW5OYW1lPgogICAgICA8ZmFtaWx5TmFtZT5HdW88L2ZhbWlseU5hbWU+CiAgICA8L2NyZWF0b3I+CiAgICA8Y3JlYXRvcj4KICAgICAgPGNyZWF0b3JOYW1lPkxpIExpdTwvY3JlYXRvck5hbWU+CiAgICAgIDxnaXZlbk5hbWU+TGk8L2dpdmVuTmFtZT4KICAgICAgPGZhbWlseU5hbWU+TGl1PC9mYW1pbHlOYW1lPgogICAgPC9jcmVhdG9yPgogIDwvY3JlYXRvcnM+CiAgPHRpdGxlcz4KICAgIDx0aXRsZT5BIGRldGVybWluaXN0aWMgc2VxdWVudGlhbCBtYXhpbWluIExhdGluIGh5cGVyY3ViZSBkZXNpZ24gbWV0aG9kIHVzaW5nIHN1Y2Nlc3NpdmUgbG9jYWwgZW51bWVyYXRpb24gZm9yIG1ldGFtb2RlbC1iYXNlZCBvcHRpbWl6YXRpb248L3RpdGxlPgogIDwvdGl0bGVzPgogIDxkZXNjcmlwdGlvbnM+CiAgICA8ZGVzY3JpcHRpb24gZGVzY3JpcHRpb25UeXBlPSJBYnN0cmFjdCI+Jmx0O3AmZ3Q7U3BhY2UtZmlsbGluZyBhbmQgcHJvamVjdGl2ZSBwcm9wZXJ0aWVzIG9mIGRlc2lnbiBvZiBjb21wdXRlciBleHBlcmltZW50cyBtZXRob2RzIGFyZSBkZXNpcmVkIGZlYXR1cmVzIGZvciBtZXRhbW9kZWxsaW5nLiBUbyBlbmFibGUgdGhlIHByb2R1Y3Rpb24gb2YgaGlnaC1xdWFsaXR5IHNlcXVlbnRpYWwgc2FtcGxlcywgdGhpcyBhcnRpY2xlIHByZXNlbnRzIGEgbm92ZWwgZGV0ZXJtaW5pc3RpYyBzZXF1ZW50aWFsIG1heGltaW4gTGF0aW4gaHlwZXJjdWJlIGRlc2lnbiAoTEhEKSBtZXRob2QgdXNpbmcgc3VjY2Vzc2l2ZSBsb2NhbCBlbnVtZXJhdGlvbiwgbm90YXRlZCBhcyBzZXF1ZW50aWFsLXN1Y2Nlc3NpdmUgbG9jYWwgZW51bWVyYXRpb24gKFMtU0xFKS4gRmlyc3QsIGEgbWVzaC1tYXBwaW5nIGFsZ29yaXRobSBpcyBwcm9wb3NlZCB0byBtYXAgdGhlIHBvc2l0aW9ucyBvZiBleGlzdGluZyBwb2ludHMgaW50byB0aGUgbmV3IGh5cGVyLWNoZXNzYm9hcmQgdG8gZW5zdXJlIHRoZSBwcm9qZWN0aXZlIHByb3BlcnR5LiBBY2NvcmRpbmcgdG8gdGhlIG1heGltaW4gZGlzdGFuY2UgY3JpdGVyaW9uLCBuZXcgc2VxdWVudGlhbCBzYW1wbGVzIGFyZSBnZW5lcmF0ZWQgdGhyb3VnaCBzdWNjZXNzaXZlIGxvY2FsIGVudW1lcmF0aW9uIGl0ZXJhdGlvbnMgdG8gaW1wcm92ZSB0aGUgc3BhY2UtZmlsbGluZyB1bmlmb3JtaXR5LiBUaHJvdWdoIGEgbnVtYmVyIG9mIGNvbXBhcmF0aXZlIHN0dWRpZXMsIHNldmVyYWwgYXBwZWFsaW5nIG1lcml0cyBvZiBTLVNMRSBhcmUgZGVtb25zdHJhdGVkOiAoMSkgUy1TTEUgb3V0cGVyZm9ybXMgc2V2ZXJhbCBleGlzdGluZyBMSEQgbWV0aG9kcyBpbiB0ZXJtcyBvZiBzZXF1ZW50aWFsIHNhbXBsaW5nIHF1YWxpdHk7ICgyKSBpdCBpcyBmbGV4aWJsZSBhbmQgcm9idXN0IGVub3VnaCB0byBwcm9kdWNlIGhpZ2gtcXVhbGl0eSBtdWx0aXBsZS1zdGFnZSBzZXF1ZW50aWFsIHNhbXBsZXM7IGFuZCAoMykgdGhlIHByb3Bvc2VkIG1ldGhvZCBjYW4gaW1wcm92ZSB0aGUgb3ZlcmFsbCBwZXJmb3JtYW5jZSBvZiBzZXF1ZW50aWFsIG1ldGFtb2RlbC1iYXNlZCBvcHRpbWl6YXRpb24gYWxnb3JpdGhtcy4gVGh1cywgUy1TTEUgaXMgYSBwcm9taXNpbmcgc2VxdWVudGlhbCBMSEQgbWV0aG9kIGZvciBtZXRhbW9kZWwtYmFzZWQgb3B0aW1pemF0aW9uLiZsdDsvcCZndDs8L2Rlc2NyaXB0aW9uPgogIDwvZGVzY3JpcHRpb25zPgogIDxzdWJqZWN0cz4KICAgIDxzdWJqZWN0PlNwYWNlIFNjaWVuY2U8L3N1YmplY3Q+CiAgICA8c3ViamVjdD5NaWNyb2Jpb2xvZ3k8L3N1YmplY3Q+CiAgICA8c3ViamVjdD5HZW5ldGljczwvc3ViamVjdD4KICAgIDxzdWJqZWN0Pk5ldXJvc2NpZW5jZTwvc3ViamVjdD4KICAgIDxzdWJqZWN0PkV2b2x1dGlvbmFyeSBCaW9sb2d5PC9zdWJqZWN0PgogICAgPHN1YmplY3Q+Q2hlbWljYWwgU2NpZW5jZXMgbm90IGVsc2V3aGVyZSBjbGFzc2lmaWVkPC9zdWJqZWN0PgogICAgPHN1YmplY3Q+RWNvbG9neTwvc3ViamVjdD4KICAgIDxzdWJqZWN0PkltbXVub2xvZ3k8L3N1YmplY3Q+CiAgICA8c3ViamVjdD5CaW9sb2dpY2FsIFNjaWVuY2VzIG5vdCBlbHNld2hlcmUgY2xhc3NpZmllZDwvc3ViamVjdD4KICAgIDxzdWJqZWN0PkluZm9ybWF0aW9uIFN5c3RlbXMgbm90IGVsc2V3aGVyZSBjbGFzc2lmaWVkPC9zdWJqZWN0PgogICAgPHN1YmplY3Q+TWF0aGVtYXRpY2FsIFNjaWVuY2VzIG5vdCBlbHNld2hlcmUgY2xhc3NpZmllZDwvc3ViamVjdD4KICA8L3N1YmplY3RzPgogIDxwdWJsaXNoZXI+VGF5bG9yICZhbXA7IEZyYW5jaXM8L3B1Ymxpc2hlcj4KICA8cHVibGljYXRpb25ZZWFyPjIwMTU8L3B1YmxpY2F0aW9uWWVhcj4KICA8ZGF0ZXM+CiAgICA8ZGF0ZSBkYXRlVHlwZT0iQ3JlYXRlZCI+MjAxNS0xMi0wNTwvZGF0ZT4KICAgIDxkYXRlIGRhdGVUeXBlPSJVcGRhdGVkIj4yMDE5LTA4LTE5PC9kYXRlPgogIDwvZGF0ZXM+CiAgPHJlc291cmNlVHlwZSByZXNvdXJjZVR5cGVHZW5lcmFsPSJDb2xsZWN0aW9uIj5Db2xsZWN0aW9uPC9yZXNvdXJjZVR5cGU+CiAgPHJpZ2h0c0xpc3Q+CiAgICA8cmlnaHRzIHJpZ2h0c1VSST0iaHR0cHM6Ly9jcmVhdGl2ZWNvbW1vbnMub3JnL2xpY2Vuc2VzL2J5LzQuMC8iPkNDIEJZIDQuMDwvcmlnaHRzPgogIDwvcmlnaHRzTGlzdD4KPC9yZXNvdXJjZT4=","url":"https://tandf.figshare.com/collections/A_deterministic_sequential_maximin_Latin_hypercube_design_method_using_successive_local_enumeration_for_metamodel_based_optimization/2113481","contentUrl":null,"metadataVersion":3,"schemaVersion":"http: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