{"id":"https://openalex.org/W1978067630","doi":"https://doi.org/10.1137/090758076","title":"Kernel-Based Methods for Vector-Valued Data with Correlated Components","display_name":"Kernel-Based Methods for Vector-Valued Data with Correlated Components","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1978067630","doi":"https://doi.org/10.1137/090758076","mag":"1978067630"},"language":"en","primary_location":{"id":"doi:10.1137/090758076","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090758076","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://push-zb.helmholtz-muenchen.de/frontdoor.php?source_opus=6525","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108400956","display_name":"R. K. Beatson","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R. K. Beatson","raw_affiliation_strings":["rick.beatson@canterbury.ac.nz#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"rick.beatson@canterbury.ac.nz#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008366504","display_name":"Wolfgang zu Castell","orcid":"https://orcid.org/0000-0003-2820-6564"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"W. zu Castell","raw_affiliation_strings":["castell@helmholtz-muenchen.de and stefan.schroedl@gmx.net#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"castell@helmholtz-muenchen.de and stefan.schroedl@gmx.net#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005884802","display_name":"Stefan Schr\u00f6dl","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. J. Schr\u00f6dl","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3191,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.57480939,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"33","issue":"4","first_page":"1975","last_page":"1995"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9993000030517578,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8173481822013855},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.7549147605895996},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5729146003723145},{"id":"https://openalex.org/keywords/kernel-principal-component-analysis","display_name":"Kernel principal component analysis","score":0.5555635690689087},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.546362578868866},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.5098980665206909},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5097913146018982},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.47175318002700806},{"id":"https://openalex.org/keywords/variable-kernel-density-estimation","display_name":"Variable kernel density estimation","score":0.4196665287017822},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38688015937805176},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.27981698513031006},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14571204781532288},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1427614986896515},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.13025546073913574},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08051103353500366}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8173481822013855},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.7549147605895996},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5729146003723145},{"id":"https://openalex.org/C182335926","wikidata":"https://www.wikidata.org/wiki/Q17093020","display_name":"Kernel principal component analysis","level":4,"score":0.5555635690689087},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.546362578868866},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.5098980665206909},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5097913146018982},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.47175318002700806},{"id":"https://openalex.org/C195699287","wikidata":"https://www.wikidata.org/wiki/Q7915722","display_name":"Variable kernel density estimation","level":4,"score":0.4196665287017822},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38688015937805176},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.27981698513031006},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14571204781532288},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1427614986896515},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.13025546073913574},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08051103353500366},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/090758076","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090758076","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:opus-zb.helmholtz-muenchen.de:6525","is_oa":true,"landing_page_url":"https://push-zb.helmholtz-muenchen.de/frontdoor.php?source_opus=6525","pdf_url":null,"source":{"id":"https://openalex.org/S4377196115","display_name":"Site cant be reached","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM J. Sci. Comput. 33, 1975-1995 (2011)","raw_type":null}],"best_oa_location":{"id":"pmh:oai:opus-zb.helmholtz-muenchen.de:6525","is_oa":true,"landing_page_url":"https://push-zb.helmholtz-muenchen.de/frontdoor.php?source_opus=6525","pdf_url":null,"source":{"id":"https://openalex.org/S4377196115","display_name":"Site cant be reached","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM J. Sci. Comput. 33, 1975-1995 (2011)","raw_type":null},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1486164486","https://openalex.org/W1530239534","https://openalex.org/W1964985389","https://openalex.org/W1988953870","https://openalex.org/W2021218667","https://openalex.org/W2027792629","https://openalex.org/W2039402388","https://openalex.org/W2039744571","https://openalex.org/W2048707459","https://openalex.org/W2099693464","https://openalex.org/W2107699930","https://openalex.org/W2115003579","https://openalex.org/W2120062331","https://openalex.org/W2141870784","https://openalex.org/W3023786531","https://openalex.org/W4241834112","https://openalex.org/W4244829582"],"related_works":["https://openalex.org/W1984421104","https://openalex.org/W2393746448","https://openalex.org/W2512565647","https://openalex.org/W2127229869","https://openalex.org/W2071590642","https://openalex.org/W2164869055","https://openalex.org/W2905418897","https://openalex.org/W2149803014","https://openalex.org/W2384322977","https://openalex.org/W2398887903"],"abstract_inverted_index":{"This":[0],"paper":[1,99],"concerns":[2],"kernel-based":[3],"interpolation":[4],"methods":[5],"for":[6,15],"vector":[7,75],"data":[8],"with":[9,101],"correlated":[10],"components.":[11],"It":[12],"gives":[13],"conditions":[14,29],"a":[16],"matrix":[17,33],"kernel":[18,46],"to":[19,48,64],"be":[20,59],"conditionally":[21],"positive":[22],"definite":[23],"in":[24],"an":[25],"appropriate":[26,81],"sense.":[27],"The":[28,74,98],"allow":[30],"construction":[31],"of":[32,40,52,68,88,94],"kernels":[34],"from":[35,61],"nonsymmetric":[36],"mixtures":[37],"and":[38,91],"scalings":[39],"scalar":[41],"kernels.":[42],"In":[43],"particular":[44],"the":[45,50,66],"used":[47,63],"model":[49,65,106],"influence":[51,67],"component":[53,56,69,72],"i":[54],"on":[55,71,105],"j":[57,70],"can":[58],"different":[60],"that":[62],"i.":[73],"modeling":[76],"techniques":[77],"considered":[78],"are":[79,84],"particularly":[80],"when":[82],"there":[83],"relatively":[85,92],"few":[86],"measurements":[87],"one":[89],"quantity":[90],"many":[93],"another":[95],"\u201ccorrelated\u201d":[96],"quantity.":[97],"concludes":[100],"some":[102],"numerical":[103],"tests":[104],"problems.":[107]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
