{"id":"https://openalex.org/W3098479569","doi":"https://doi.org/10.1007/s11075-020-01040-2","title":"Interpolation of sparse high-dimensional data","display_name":"Interpolation of sparse high-dimensional data","publication_year":2020,"publication_date":"2020-11-13","ids":{"openalex":"https://openalex.org/W3098479569","doi":"https://doi.org/10.1007/s11075-020-01040-2","mag":"3098479569"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-020-01040-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-020-01040-2","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","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/A5103102426","display_name":"Thomas Lux","orcid":"https://orcid.org/0000-0002-1858-4724"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Thomas C. H. Lux","raw_affiliation_strings":["Virginia Polytechnic Institute and State University (VPI, SU), Blacksburg, VA, 24061, USA"],"affiliations":[{"raw_affiliation_string":"Virginia Polytechnic Institute and State University (VPI, SU), Blacksburg, VA, 24061, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068161656","display_name":"Layne T. Watson","orcid":"https://orcid.org/0000-0003-2009-107X"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Layne T. Watson","raw_affiliation_strings":["Virginia Polytechnic Institute and State University (VPI, SU), Blacksburg, VA, 24061, USA"],"affiliations":[{"raw_affiliation_string":"Virginia Polytechnic Institute and State University (VPI, SU), Blacksburg, VA, 24061, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007494120","display_name":"Tyler H. Chang","orcid":"https://orcid.org/0000-0001-9541-7041"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tyler H. Chang","raw_affiliation_strings":["Virginia Polytechnic Institute and State University (VPI, SU), Blacksburg, VA, 24061, USA"],"affiliations":[{"raw_affiliation_string":"Virginia Polytechnic Institute and State University (VPI, SU), Blacksburg, VA, 24061, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022205142","display_name":"Yili Hong","orcid":"https://orcid.org/0000-0003-1720-9540"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yili Hong","raw_affiliation_strings":["Virginia Polytechnic Institute and State University (VPI, SU), Blacksburg, VA, 24061, USA"],"affiliations":[{"raw_affiliation_string":"Virginia Polytechnic Institute and State University (VPI, SU), Blacksburg, VA, 24061, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019476126","display_name":"Kirk W. Cameron","orcid":"https://orcid.org/0000-0002-1679-5448"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kirk Cameron","raw_affiliation_strings":["Virginia Polytechnic Institute and State University (VPI, SU), Blacksburg, VA, 24061, USA"],"affiliations":[{"raw_affiliation_string":"Virginia Polytechnic Institute and State University (VPI, SU), Blacksburg, VA, 24061, USA","institution_ids":["https://openalex.org/I859038795"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5103102426"],"corresponding_institution_ids":["https://openalex.org/I859038795"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3589,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.56576363,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"88","issue":"1","first_page":"281","last_page":"313"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9975000023841858,"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"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9975000023841858,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9973000288009644,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9932000041007996,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.8322255611419678},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6282811164855957},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5980260968208313},{"id":"https://openalex.org/keywords/multivariate-interpolation","display_name":"Multivariate interpolation","score":0.5610546469688416},{"id":"https://openalex.org/keywords/trilinear-interpolation","display_name":"Trilinear interpolation","score":0.560605525970459},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5272454619407654},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.4875456690788269},{"id":"https://openalex.org/keywords/nearest-neighbor-interpolation","display_name":"Nearest-neighbor interpolation","score":0.4506141245365143},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4369354844093323},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.4274485409259796},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.3884970545768738},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36928802728652954},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3279885947704315},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19319197535514832},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1560758352279663},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12577396631240845},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07649466395378113}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.8322255611419678},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6282811164855957},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5980260968208313},{"id":"https://openalex.org/C203332170","wikidata":"https://www.wikidata.org/wiki/Q6334079","display_name":"Multivariate interpolation","level":3,"score":0.5610546469688416},{"id":"https://openalex.org/C188325010","wikidata":"https://www.wikidata.org/wiki/Q861176","display_name":"Trilinear interpolation","level":4,"score":0.560605525970459},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5272454619407654},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.4875456690788269},{"id":"https://openalex.org/C207214200","wikidata":"https://www.wikidata.org/wiki/Q4202129","display_name":"Nearest-neighbor interpolation","level":4,"score":0.4506141245365143},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4369354844093323},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.4274485409259796},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.3884970545768738},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36928802728652954},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3279885947704315},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19319197535514832},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1560758352279663},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12577396631240845},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07649466395378113},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-020-01040-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-020-01040-2","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1612402558","display_name":null,"funder_award_id":"CNS-1838271","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2417531465","display_name":null,"funder_award_id":"CNS-1565314","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320335353","display_name":"National Science Foundation of Sri Lanka","ror":"https://ror.org/010xaa060"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W130996574","https://openalex.org/W333648068","https://openalex.org/W1498436455","https://openalex.org/W1517808374","https://openalex.org/W1528081447","https://openalex.org/W1550657683","https://openalex.org/W1680392829","https://openalex.org/W1980029630","https://openalex.org/W1990701202","https://openalex.org/W1994616650","https://openalex.org/W2000190106","https://openalex.org/W2002827932","https://openalex.org/W2003553868","https://openalex.org/W2005606401","https://openalex.org/W2015332086","https://openalex.org/W2018611897","https://openalex.org/W2019247511","https://openalex.org/W2032290280","https://openalex.org/W2036242000","https://openalex.org/W2040731319","https://openalex.org/W2051812123","https://openalex.org/W2062227835","https://openalex.org/W2068484625","https://openalex.org/W2096045964","https://openalex.org/W2101234009","https://openalex.org/W2102201073","https://openalex.org/W2111732445","https://openalex.org/W2122111042","https://openalex.org/W2137983211","https://openalex.org/W2142192442","https://openalex.org/W2142863015","https://openalex.org/W2147169375","https://openalex.org/W2154029067","https://openalex.org/W2162870748","https://openalex.org/W2176412452","https://openalex.org/W2187387883","https://openalex.org/W2217007515","https://openalex.org/W2291445757","https://openalex.org/W2403013574","https://openalex.org/W2415506139","https://openalex.org/W2488701244","https://openalex.org/W2604744755","https://openalex.org/W2795093566","https://openalex.org/W2795263403","https://openalex.org/W2800241466","https://openalex.org/W2896407385","https://openalex.org/W3146803896","https://openalex.org/W4239953570","https://openalex.org/W4252001058","https://openalex.org/W4255975175","https://openalex.org/W6732629455"],"related_works":["https://openalex.org/W2382426030","https://openalex.org/W2075020252","https://openalex.org/W2352808182","https://openalex.org/W2071815454","https://openalex.org/W2392096499","https://openalex.org/W2036543038","https://openalex.org/W2265893536","https://openalex.org/W2355145174","https://openalex.org/W2162238560","https://openalex.org/W3152141443"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
