{"id":"https://openalex.org/W2728580971","doi":"https://doi.org/10.1007/s10444-018-9639-z","title":"Adaptive estimation for nonlinear systems using reproducing kernel Hilbert spaces","display_name":"Adaptive estimation for nonlinear systems using reproducing kernel Hilbert spaces","publication_year":2018,"publication_date":"2018-10-30","ids":{"openalex":"https://openalex.org/W2728580971","doi":"https://doi.org/10.1007/s10444-018-9639-z","mag":"2728580971"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-018-9639-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-018-9639-z","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","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/A5027359912","display_name":"Parag Bobade","orcid":"https://orcid.org/0000-0001-5544-7676"},"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":"Parag Bobade","raw_affiliation_strings":["Department of Engineering Science and Mechanics, Virginia Tech, Blacksburg, VA, 24061, USA"],"raw_orcid":"https://orcid.org/0000-0001-5544-7676","affiliations":[{"raw_affiliation_string":"Department of Engineering Science and Mechanics, Virginia Tech, Blacksburg, VA, 24061, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045863884","display_name":"Suprotim Majumdar","orcid":null},"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":"Suprotim Majumdar","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Virginia Tech, Blacksburg, VA, 24061, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Virginia Tech, Blacksburg, VA, 24061, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001099386","display_name":"Savio Pereira","orcid":null},"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":"Savio Pereira","raw_affiliation_strings":["Department of Mechanical Engineering, Virginia Tech, Blacksburg, VA, 24061, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Virginia Tech, Blacksburg, VA, 24061, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023864855","display_name":"Andrew J. Kurdila","orcid":"https://orcid.org/0000-0002-9042-5146"},"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":"Andrew J. Kurdila","raw_affiliation_strings":["Department of Mechanical Engineering, Virginia Tech, Blacksburg, VA, 24061, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Virginia Tech, Blacksburg, VA, 24061, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021100760","display_name":"John B. Ferris","orcid":"https://orcid.org/0000-0001-7283-8214"},"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":"John B. Ferris","raw_affiliation_strings":["Department of Mechanical Engineering, Virginia Tech, Blacksburg, VA, 24061, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Virginia Tech, 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/A5027359912"],"corresponding_institution_ids":["https://openalex.org/I859038795"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.8725,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.85838689,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"45","issue":"2","first_page":"869","last_page":"896"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9988999962806702,"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":0.9916999936103821,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/reproducing-kernel-hilbert-space","display_name":"Reproducing kernel Hilbert space","score":0.9004710912704468},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7883437871932983},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.7302060723304749},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.616436243057251},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6130316257476807},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5077977776527405},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.46171924471855164},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.45435041189193726},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44497621059417725},{"id":"https://openalex.org/keywords/representer-theorem","display_name":"Representer theorem","score":0.4290885031223297},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.40375787019729614},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27413082122802734},{"id":"https://openalex.org/keywords/kernel-embedding-of-distributions","display_name":"Kernel embedding of distributions","score":0.17927098274230957},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17630329728126526},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1255374252796173},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.07754123210906982}],"concepts":[{"id":"https://openalex.org/C80884492","wikidata":"https://www.wikidata.org/wiki/Q3345678","display_name":"Reproducing kernel Hilbert space","level":3,"score":0.9004710912704468},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7883437871932983},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.7302060723304749},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.616436243057251},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6130316257476807},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5077977776527405},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.46171924471855164},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.45435041189193726},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44497621059417725},{"id":"https://openalex.org/C172623408","wikidata":"https://www.wikidata.org/wiki/Q7314263","display_name":"Representer theorem","level":5,"score":0.4290885031223297},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.40375787019729614},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27413082122802734},{"id":"https://openalex.org/C134517425","wikidata":"https://www.wikidata.org/wiki/Q16000131","display_name":"Kernel embedding of distributions","level":4,"score":0.17927098274230957},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17630329728126526},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1255374252796173},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.07754123210906982},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-018-9639-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-018-9639-z","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W130083205","https://openalex.org/W234738007","https://openalex.org/W574370508","https://openalex.org/W1486164486","https://openalex.org/W1527296550","https://openalex.org/W1559107966","https://openalex.org/W1572161815","https://openalex.org/W1970781863","https://openalex.org/W1978856622","https://openalex.org/W1979384859","https://openalex.org/W1982338022","https://openalex.org/W1986594128","https://openalex.org/W2000166160","https://openalex.org/W2006483662","https://openalex.org/W2011754354","https://openalex.org/W2012343091","https://openalex.org/W2017902642","https://openalex.org/W2024697390","https://openalex.org/W2045659360","https://openalex.org/W2046806116","https://openalex.org/W2047993072","https://openalex.org/W2059651107","https://openalex.org/W2062024414","https://openalex.org/W2063819119","https://openalex.org/W2064154240","https://openalex.org/W2064590975","https://openalex.org/W2067603665","https://openalex.org/W2079724595","https://openalex.org/W2082877688","https://openalex.org/W2085740870","https://openalex.org/W2100053656","https://openalex.org/W2111295154","https://openalex.org/W2115755118","https://openalex.org/W2117191495","https://openalex.org/W2122455045","https://openalex.org/W2126573461","https://openalex.org/W2127578024","https://openalex.org/W2138484437","https://openalex.org/W2146881125","https://openalex.org/W2154017413","https://openalex.org/W2240536489","https://openalex.org/W2623660146","https://openalex.org/W3133571595","https://openalex.org/W4205354563","https://openalex.org/W4231017914","https://openalex.org/W4242546747","https://openalex.org/W4249999916","https://openalex.org/W4255272544","https://openalex.org/W4256167051"],"related_works":["https://openalex.org/W2038278625","https://openalex.org/W2392804273","https://openalex.org/W1517937628","https://openalex.org/W2964184113","https://openalex.org/W2896419989","https://openalex.org/W4298112926","https://openalex.org/W2094771605","https://openalex.org/W2154558852","https://openalex.org/W2119647995","https://openalex.org/W2018264451"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
