{"id":"https://openalex.org/W2138791240","doi":"https://doi.org/10.1109/cdc.2005.1582550","title":"Sparse Generalized Kernel Modeling for Nonlinear Systems","display_name":"Sparse Generalized Kernel Modeling for Nonlinear Systems","publication_year":2006,"publication_date":"2006-10-04","ids":{"openalex":"https://openalex.org/W2138791240","doi":"https://doi.org/10.1109/cdc.2005.1582550","mag":"2138791240"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2005.1582550","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1582550","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","raw_type":"proceedings-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/A5100320969","display_name":"Sheng Chen","orcid":"https://orcid.org/0000-0001-6882-600X"},"institutions":[{"id":"https://openalex.org/I43439940","display_name":"University of Southampton","ror":"https://ror.org/01ryk1543","country_code":"GB","type":"education","lineage":["https://openalex.org/I43439940"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"S. Chen","raw_affiliation_strings":["School of Electronics and Computer Science, University of Southampton, Southampton, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronics and Computer Science, University of Southampton, Southampton, UK","institution_ids":["https://openalex.org/I43439940"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100714793","display_name":"Xia Hong","orcid":"https://orcid.org/0000-0002-6832-2298"},"institutions":[{"id":"https://openalex.org/I71052956","display_name":"University of Reading","ror":"https://ror.org/05v62cm79","country_code":"GB","type":"education","lineage":["https://openalex.org/I71052956"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"X. Hong","raw_affiliation_strings":["Department of Cybernetics, University of Reading, Reading, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Cybernetics, University of Reading, Reading, UK","institution_ids":["https://openalex.org/I71052956"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025713465","display_name":"X.X. Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I169199633","display_name":"Aston University","ror":"https://ror.org/05j0ve876","country_code":"GB","type":"education","lineage":["https://openalex.org/I169199633"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"X.X. Wang","raw_affiliation_strings":["Neural Computing Research Group, Aston University, Birmingham, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Neural Computing Research Group, Aston University, Birmingham, UK","institution_ids":["https://openalex.org/I169199633"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067133312","display_name":"C.J. Harris","orcid":"https://orcid.org/0000-0002-8504-9043"},"institutions":[{"id":"https://openalex.org/I43439940","display_name":"University of Southampton","ror":"https://ror.org/01ryk1543","country_code":"GB","type":"education","lineage":["https://openalex.org/I43439940"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"C.J. Harris","raw_affiliation_strings":["School of Electronics and Computer Science, University of Southampton, Southampton, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronics and Computer Science, University of Southampton, Southampton, UK","institution_ids":["https://openalex.org/I43439940"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12172932,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2574","last_page":"2579"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9995999932289124,"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/T11236","display_name":"Control Systems and Identification","score":0.9995999932289124,"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/T10320","display_name":"Neural Networks and Applications","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9925000071525574,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/kernel","display_name":"Kernel (algebra)","score":0.6879367828369141},{"id":"https://openalex.org/keywords/variable-kernel-density-estimation","display_name":"Variable kernel density estimation","score":0.6508806347846985},{"id":"https://openalex.org/keywords/kernel-principal-component-analysis","display_name":"Kernel principal component analysis","score":0.5795454382896423},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.5669384598731995},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5267476439476013},{"id":"https://openalex.org/keywords/kernel-embedding-of-distributions","display_name":"Kernel embedding of distributions","score":0.5205053687095642},{"id":"https://openalex.org/keywords/principal-component-regression","display_name":"Principal component regression","score":0.49484914541244507},{"id":"https://openalex.org/keywords/diagonal-matrix","display_name":"Diagonal matrix","score":0.4869285821914673},{"id":"https://openalex.org/keywords/kernel-regression","display_name":"Kernel regression","score":0.4862467050552368},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47283419966697693},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.47176316380500793},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.44411104917526245},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44363337755203247},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3984546959400177},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.3890690207481384},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3349016308784485},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.22665560245513916},{"id":"https://openalex.org/keywords/regression-analysis","display_name":"Regression analysis","score":0.20524951815605164},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.18697461485862732},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.11541804671287537},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.07662424445152283}],"concepts":[{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6879367828369141},{"id":"https://openalex.org/C195699287","wikidata":"https://www.wikidata.org/wiki/Q7915722","display_name":"Variable kernel density estimation","level":4,"score":0.6508806347846985},{"id":"https://openalex.org/C182335926","wikidata":"https://www.wikidata.org/wiki/Q17093020","display_name":"Kernel principal component analysis","level":4,"score":0.5795454382896423},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.5669384598731995},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5267476439476013},{"id":"https://openalex.org/C134517425","wikidata":"https://www.wikidata.org/wiki/Q16000131","display_name":"Kernel embedding of distributions","level":4,"score":0.5205053687095642},{"id":"https://openalex.org/C74887250","wikidata":"https://www.wikidata.org/wiki/Q3455892","display_name":"Principal component regression","level":3,"score":0.49484914541244507},{"id":"https://openalex.org/C113313756","wikidata":"https://www.wikidata.org/wiki/Q332791","display_name":"Diagonal matrix","level":3,"score":0.4869285821914673},{"id":"https://openalex.org/C200695384","wikidata":"https://www.wikidata.org/wiki/Q1739319","display_name":"Kernel regression","level":3,"score":0.4862467050552368},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47283419966697693},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.47176316380500793},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.44411104917526245},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44363337755203247},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3984546959400177},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.3890690207481384},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3349016308784485},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.22665560245513916},{"id":"https://openalex.org/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","level":2,"score":0.20524951815605164},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.18697461485862732},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.11541804671287537},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.07662424445152283},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2005.1582550","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1582550","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:eprints.soton.ac.uk:261647","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401019","display_name":"ePrints Soton (University of Southampton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43439940","host_organization_name":"University of Southampton","host_organization_lineage":["https://openalex.org/I43439940"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Conference or Workshop Item"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.7400000095367432,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W167329903","https://openalex.org/W1560724230","https://openalex.org/W1601740268","https://openalex.org/W1648445109","https://openalex.org/W1985286834","https://openalex.org/W1988790447","https://openalex.org/W1994567799","https://openalex.org/W2014382707","https://openalex.org/W2025637389","https://openalex.org/W2028847290","https://openalex.org/W2093717447","https://openalex.org/W2102380305","https://openalex.org/W2122007981","https://openalex.org/W2123737232","https://openalex.org/W2135125546","https://openalex.org/W2138484437","https://openalex.org/W2142402197","https://openalex.org/W2143833218","https://openalex.org/W2154679345","https://openalex.org/W2155399784","https://openalex.org/W2156909104","https://openalex.org/W2158176103","https://openalex.org/W2171247088","https://openalex.org/W2279527887","https://openalex.org/W2313953460","https://openalex.org/W2898519191","https://openalex.org/W3004732066","https://openalex.org/W4252179934","https://openalex.org/W4253708194","https://openalex.org/W4285719527","https://openalex.org/W6606757156","https://openalex.org/W6678557583","https://openalex.org/W6680204235"],"related_works":["https://openalex.org/W2127229869","https://openalex.org/W2393746448","https://openalex.org/W1984421104","https://openalex.org/W2071590642","https://openalex.org/W2512565647","https://openalex.org/W2803426353","https://openalex.org/W2388959921","https://openalex.org/W3078753841","https://openalex.org/W2890196891","https://openalex.org/W2056356741"],"abstract_inverted_index":{"A":[0,41],"generalized":[1,18,64],"kernel":[2,14,19,65],"modeling":[3,78],"approach":[4,79],"is":[5,29,58,80],"proposed":[6,76],"for":[7],"identification":[8],"of":[9,74],"discrete-time":[10],"nonlinear":[11,77],"systems.":[12],"Each":[13],"regressor":[15,37],"in":[16],"the":[17,33,36,68,75,83],"model":[20,66],"has":[21],"an":[22],"individually":[23],"fitted":[24],"diagonal":[25],"covariance":[26],"matrix":[27],"which":[28],"determined":[30],"by":[31,82],"maximizing":[32],"correlation":[34],"between":[35],"and":[38,55,90],"training":[39],"data.":[40],"state-of-the-art":[42],"construction":[43],"algorithm":[44],"based":[45],"on":[46],"orthogonal":[47],"least":[48],"squares":[49],"regression":[50,70],"with":[51],"leave-one-out":[52],"test":[53],"statistic":[54],"local":[56],"regularization":[57],"applied":[59],"to":[60],"select":[61],"a":[62],"parsimonious":[63],"from":[67],"full":[69],"matrix.":[71],"The":[72],"effectiveness":[73],"demonstrated":[81],"experimental":[84],"results":[85],"involving":[86],"one":[87],"simulated":[88],"system":[89],"two":[91],"real":[92],"data":[93],"sets.":[94]},"counts_by_year":[],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
