{"id":"https://openalex.org/W4396661659","doi":"https://doi.org/10.1137/22m1519948","title":"Kernel Interpolation of High Dimensional Scattered Data","display_name":"Kernel Interpolation of High Dimensional Scattered Data","publication_year":2024,"publication_date":"2024-05-06","ids":{"openalex":"https://openalex.org/W4396661659","doi":"https://doi.org/10.1137/22m1519948"},"language":"en","primary_location":{"id":"doi:10.1137/22m1519948","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1519948","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","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/A5022287632","display_name":"Shao-Bo Lin","orcid":"https://orcid.org/0000-0001-5122-9153"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shao-Bo Lin","raw_affiliation_strings":["Center for Intelligent Decision-Making and Machine Learning, School of Management, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China","Center for Intelligent Decision-Making and Machine Learning, School of Management, Xi'an Jiaotong University, Xi'an 710049, China"],"affiliations":[{"raw_affiliation_string":"Center for Intelligent Decision-Making and Machine Learning, School of Management, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"Center for Intelligent Decision-Making and Machine Learning, School of Management, Xi'an Jiaotong University, Xi'an 710049, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068724396","display_name":"Xiangyu Chang","orcid":"https://orcid.org/0000-0001-9225-0477"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiangyu Chang","raw_affiliation_strings":["Center for Intelligent Decision-Making and Machine Learning, School of Management, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China","Center for Intelligent Decision-Making and Machine Learning, School of Management, Xi'an Jiaotong University, Xi'an 710049, China"],"affiliations":[{"raw_affiliation_string":"Center for Intelligent Decision-Making and Machine Learning, School of Management, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"Center for Intelligent Decision-Making and Machine Learning, School of Management, Xi'an Jiaotong University, Xi'an 710049, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103047873","display_name":"Xingping Sun","orcid":"https://orcid.org/0000-0001-7117-6087"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xingping Sun","raw_affiliation_strings":["Corresponding author. Department of Mathematics, Missouri State University, Springfield, MO 65897 USA"],"affiliations":[{"raw_affiliation_string":"Corresponding author. Department of Mathematics, Missouri State University, Springfield, MO 65897 USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5022287632"],"corresponding_institution_ids":["https://openalex.org/I87445476"],"apc_list":null,"apc_paid":null,"fwci":1.1587,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.73670474,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"62","issue":"3","first_page":"1098","last_page":"1118"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9955000281333923,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8052974939346313},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6909958124160767},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5427861213684082},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.466103196144104},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37786751985549927},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35285788774490356},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2016352117061615},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14698532223701477},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11368945240974426}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8052974939346313},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6909958124160767},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5427861213684082},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.466103196144104},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37786751985549927},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35285788774490356},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2016352117061615},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14698532223701477},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11368945240974426},{"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:10.1137/22m1519948","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1519948","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G914409632","display_name":null,"funder_award_id":"72122018","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W120550985","https://openalex.org/W1486164486","https://openalex.org/W1578407488","https://openalex.org/W1970781863","https://openalex.org/W1973878509","https://openalex.org/W1974725223","https://openalex.org/W1987494120","https://openalex.org/W1988793248","https://openalex.org/W2000021956","https://openalex.org/W2009303604","https://openalex.org/W2012501405","https://openalex.org/W2014747354","https://openalex.org/W2027057364","https://openalex.org/W2034978228","https://openalex.org/W2040314635","https://openalex.org/W2045935121","https://openalex.org/W2052272109","https://openalex.org/W2052524535","https://openalex.org/W2053363360","https://openalex.org/W2056493577","https://openalex.org/W2076577157","https://openalex.org/W2077543318","https://openalex.org/W2089288976","https://openalex.org/W2090536661","https://openalex.org/W2113442785","https://openalex.org/W2161591817","https://openalex.org/W2496836423","https://openalex.org/W2615421548","https://openalex.org/W2752152765","https://openalex.org/W2886836477","https://openalex.org/W2962937842","https://openalex.org/W3098187598","https://openalex.org/W3101228473","https://openalex.org/W3102351945","https://openalex.org/W3104929861","https://openalex.org/W3104969455","https://openalex.org/W4234721591","https://openalex.org/W4250954493"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2053286651","https://openalex.org/W2181743346","https://openalex.org/W2187401768","https://openalex.org/W2181413294","https://openalex.org/W2989452537","https://openalex.org/W2052122378","https://openalex.org/W2544423928","https://openalex.org/W2062023542"],"abstract_inverted_index":{".Data":[0],"sites":[1],"selected":[2],"from":[3],"modeling":[4],"high-dimensional":[5,76,117],"problems":[6],"often":[7],"appear":[8],"scattered":[9],"in":[10,57,64],"nonpaternalistic":[11],"ways.":[12],"Except":[13],"for":[14,109,116],"sporadic-clustering":[15],"at":[16],"some":[17],"spots,":[18],"they":[19],"become":[20],"relatively":[21],"far":[22],"apart":[23],"as":[24],"the":[25,28,65,85,88,111],"dimension":[26],"of":[27,44,46,53,75,87,101,113],"ambient":[29],"space":[30],"grows.":[31],"These":[32],"features":[33,79],"defy":[34],"any":[35],"theoretical":[36,93],"treatment":[37],"that":[38,99],"requires":[39],"local":[40],"or":[41],"global":[42],"quasi-uniformity":[43],"distribution":[45],"data":[47],"sites.":[48],"Incorporating":[49],"a":[50,68],"recently-developed":[51],"application":[52],"integral":[54],"operator":[55],"theory":[56],"machine":[58],"learning,":[59],"we":[60],"propose":[61],"and":[62,95,106],"study":[63],"current":[66],"article":[67],"new":[69],"framework":[70],"to":[71],"analyze":[72],"kernel":[73,90,102],"interpolation":[74],"data,":[77],"which":[78],"bounding":[80],"stochastic":[81],"approximation":[82],"error":[83],"by":[84],"spectrum":[86],"underlying":[89],"matrix.":[91],"Both":[92],"analysis":[94],"numerical":[96],"simulations":[97],"show":[98],"spectra":[100],"matrices":[103],"are":[104],"reliable":[105],"stable":[107],"barometers":[108],"gauging":[110],"performance":[112],"kernel-interpolation":[114],"methods":[115],"data.Keywordshigh":[118],"dimensionkernel":[119],"interpolationrandom":[120],"samplingstochastic":[121],"approximationMSC":[122],"codes68T0594A2041A35":[123]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
