{"id":"https://openalex.org/W2977689784","doi":"https://doi.org/10.1080/00401706.2020.1801255","title":"Function-on-Function Kriging, With Applications to Three-Dimensional Printing of Aortic Tissues","display_name":"Function-on-Function Kriging, With Applications to Three-Dimensional Printing of Aortic Tissues","publication_year":2020,"publication_date":"2020-07-27","ids":{"openalex":"https://openalex.org/W2977689784","doi":"https://doi.org/10.1080/00401706.2020.1801255","mag":"2977689784"},"language":"en","primary_location":{"id":"doi:10.1080/00401706.2020.1801255","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00401706.2020.1801255","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1910.01754","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Jialei Chen","orcid":"https://orcid.org/0000-0002-6053-9302"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]},{"id":"https://openalex.org/I4210104624","display_name":"Manufacturing Institute","ror":"https://ror.org/027wewa02","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210104624"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jialei Chen","raw_affiliation_strings":["Georgia Tech Manufacturing Institute, Georgia Institute of Technology, Atlanta, GA","H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA"],"raw_orcid":"https://orcid.org/0000-0002-6053-9302","affiliations":[{"raw_affiliation_string":"Georgia Tech Manufacturing Institute, Georgia Institute of Technology, Atlanta, GA","institution_ids":["https://openalex.org/I130701444","https://openalex.org/I4210104624"]},{"raw_affiliation_string":"H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Simon Mak","orcid":null},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Simon Mak","raw_affiliation_strings":["Department of Statistical Science, Duke University, Durham, NC"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistical Science, Duke University, Durham, NC","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"middle","author":{"id":null,"display_name":"V. Roshan Joseph","orcid":null},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"V. Roshan Joseph","raw_affiliation_strings":["H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"last","author":{"id":null,"display_name":"Chuck Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]},{"id":"https://openalex.org/I4210104624","display_name":"Manufacturing Institute","ror":"https://ror.org/027wewa02","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210104624"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chuck Zhang","raw_affiliation_strings":["Georgia Tech Manufacturing Institute, Georgia Institute of Technology, Atlanta, GA","H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Georgia Tech Manufacturing Institute, Georgia Institute of Technology, Atlanta, GA","institution_ids":["https://openalex.org/I130701444","https://openalex.org/I4210104624"]},{"raw_affiliation_string":"H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I130701444","https://openalex.org/I4210104624"],"apc_list":null,"apc_paid":null,"fwci":1.599,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.82570709,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"63","issue":"3","first_page":"384","last_page":"395"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.258899986743927,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.258899986743927,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.1429000049829483,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.11749999970197678,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/emulation","display_name":"Emulation","score":0.8323000073432922},{"id":"https://openalex.org/keywords/novelty","display_name":"Novelty","score":0.532800018787384},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.5001000165939331},{"id":"https://openalex.org/keywords/prior-probability","display_name":"Prior probability","score":0.4632999897003174},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.4404999911785126},{"id":"https://openalex.org/keywords/metamaterial","display_name":"Metamaterial","score":0.2890999913215637}],"concepts":[{"id":"https://openalex.org/C149810388","wikidata":"https://www.wikidata.org/wiki/Q5374873","display_name":"Emulation","level":2,"score":0.8323000073432922},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.661300003528595},{"id":"https://openalex.org/C2778738651","wikidata":"https://www.wikidata.org/wiki/Q16546687","display_name":"Novelty","level":2,"score":0.532800018787384},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.5001000165939331},{"id":"https://openalex.org/C177769412","wikidata":"https://www.wikidata.org/wiki/Q278090","display_name":"Prior probability","level":3,"score":0.4632999897003174},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.4404999911785126},{"id":"https://openalex.org/C136229726","wikidata":"https://www.wikidata.org/wiki/Q327092","display_name":"Biomedical engineering","level":1,"score":0.37560001015663147},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35920000076293945},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35569998621940613},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.3240000009536743},{"id":"https://openalex.org/C110367647","wikidata":"https://www.wikidata.org/wiki/Q497166","display_name":"Metamaterial","level":2,"score":0.2890999913215637},{"id":"https://openalex.org/C96324660","wikidata":"https://www.wikidata.org/wiki/Q205446","display_name":"Dataflow","level":2,"score":0.28859999775886536},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.28290000557899475},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.2646999955177307},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.2533000111579895}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00401706.2020.1801255","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00401706.2020.1801255","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:1910.01754","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.01754","pdf_url":"https://arxiv.org/pdf/1910.01754","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1910.01754","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.01754","pdf_url":"https://arxiv.org/pdf/1910.01754","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":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1540764732","https://openalex.org/W1595283676","https://openalex.org/W1824831786","https://openalex.org/W1969415786","https://openalex.org/W1978056375","https://openalex.org/W1982652137","https://openalex.org/W1993746015","https://openalex.org/W2000303778","https://openalex.org/W2003884505","https://openalex.org/W2024697317","https://openalex.org/W2030597423","https://openalex.org/W2042809187","https://openalex.org/W2047459256","https://openalex.org/W2051434435","https://openalex.org/W2078454401","https://openalex.org/W2086321931","https://openalex.org/W2093625674","https://openalex.org/W2096599623","https://openalex.org/W2132555912","https://openalex.org/W2134128809","https://openalex.org/W2135813134","https://openalex.org/W2150705946","https://openalex.org/W2157329190","https://openalex.org/W2273306581","https://openalex.org/W2618462867","https://openalex.org/W2732344316","https://openalex.org/W2789210774","https://openalex.org/W2883039040","https://openalex.org/W2887516561","https://openalex.org/W2895548892","https://openalex.org/W2901761063","https://openalex.org/W2964215139","https://openalex.org/W2971847850","https://openalex.org/W4205685297","https://openalex.org/W4247690662","https://openalex.org/W4297929813"],"related_works":[],"abstract_inverted_index":{"Three-dimensional":[0],"printed":[1,29],"medical":[2,173],"prototypes,":[3],"which":[4,83,119],"use":[5],"synthetic":[6],"metamaterials":[7],"to":[8,37,123,168],"mimic":[9],"biological":[10],"tissue,":[11,154],"are":[12,96],"becoming":[13],"increasingly":[14],"important":[15,85,127],"in":[16,146,171],"urgent":[17],"surgical":[18],"applications.":[19],"However,":[20],"the":[21,38,78,110,114,121,139,142,172],"mimicking":[22,151],"of":[23,41,74,141],"tissue":[24],"mechanical":[25],"properties":[26],"via":[27,99],"three-dimensional":[28],"metamaterial":[30],"can":[31,159],"be":[32],"difficult":[33],"and":[34,46,65,113,125,155,162],"time-consuming,":[35],"due":[36],"functional":[39,69,90,94],"nature":[40],"both":[42,109],"inputs":[43],"(metamaterial":[44],"structure)":[45],"outputs":[47,95],"(mechanical":[48],"response":[49],"curve).":[50],"To":[51],"deal":[52],"with":[53],"this,":[54],"we":[55,137],"propose":[56],"a":[57,71,100,147],"novel":[58],"function-on-function":[59],"kriging":[60],"model":[61,76],"for":[62,93],"efficient":[63],"emulation":[64],"tissue-mimicking":[66,165],"optimization.":[67],"For":[68],"inputs,":[70],"key":[72],"novelty":[73],"our":[75],"is":[77],"spectral-distance":[79],"(SpeD)":[80],"correlation":[81],"function,":[82],"captures":[84],"spectral":[86],"differences":[87],"between":[88],"two":[89],"inputs.":[91],"Dependencies":[92],"then":[97],"modeled":[98],"co-kriging":[101,116],"framework.":[102],"We":[103],"further":[104],"adopt":[105],"shrinkage":[106],"priors":[107],"on":[108,150],"input":[111,131],"spectra":[112],"output":[115,133],"covariance":[117],"matrix,":[118],"allows":[120],"emulator":[122,145],"learn":[124],"incorporate":[126],"physics":[128],"(e.g.,":[129],"dominant":[130],"frequencies,":[132],"curve":[134],"properties).":[135],"Finally,":[136],"demonstrate":[138],"effectiveness":[140],"proposed":[143],"SpeD":[144],"real-world":[148],"study":[149],"human":[152],"aortic":[153],"show":[156],"that":[157],"it":[158],"provide":[160],"quicker":[161],"more":[163],"accurate":[164],"performance":[166],"compared":[167],"existing":[169],"methods":[170],"literature.":[174]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2019-10-10T00:00:00"}