{"id":"https://openalex.org/W2007154098","doi":"https://doi.org/10.1016/s0893-6080(98)00032-x","title":"The connection between regularization operators and support vector kernels","display_name":"The connection between regularization operators and support vector kernels","publication_year":1998,"publication_date":"1998-06-01","ids":{"openalex":"https://openalex.org/W2007154098","doi":"https://doi.org/10.1016/s0893-6080(98)00032-x","mag":"2007154098","pmid":"https://pubmed.ncbi.nlm.nih.gov/12662802"},"language":"en","primary_location":{"id":"doi:10.1016/s0893-6080(98)00032-x","doi":"https://doi.org/10.1016/s0893-6080(98)00032-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0893-6080(98)00032-x","pdf_url":null,"source":{"id":"https://openalex.org/S123019304","display_name":"Neural Networks","issn_l":"0893-6080","issn":["0893-6080","1879-2782"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","ccf-b","cwts-core","dongbi-b","doyens","erih-plus","jufo-3","ki-jl-1","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Networks","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W2007154098"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["crossref","pubmed"],"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/A5090351022","display_name":"Alex J. Smola","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Alex J. Smola","raw_affiliation_strings":["GMD First, Rudower Chaussee 5, 12489, Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"GMD First, Rudower Chaussee 5, 12489, Berlin, Germany","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044005697","display_name":"Bernhard Sch\u00f6lkopf","orcid":"https://orcid.org/0000-0002-8177-0925","observed_orcids":["https://orcid.org/0000-0002-8177-0925"]},"institutions":[{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I149899117"]},{"id":"https://openalex.org/I4210112925","display_name":"Max Planck Institute for Biological Cybernetics","ror":"https://ror.org/026nmvv73","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210112925"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bernhard Sch\u00f6lkopf","raw_affiliation_strings":["GMD First, Rudower Chaussee 5, 12489 Berlin, Germany","Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"GMD First, Rudower Chaussee 5, 12489 Berlin, Germany","institution_ids":[]},{"raw_affiliation_string":"Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society","institution_ids":["https://openalex.org/I149899117","https://openalex.org/I4210112925"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5107838719","display_name":"Klaus\u2010Robert M\u00fcller","orcid":"https://orcid.org/0000-0002-3861-7685","observed_orcids":["https://orcid.org/0000-0002-3861-7685"]},"institutions":[{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I149899117"]},{"id":"https://openalex.org/I4210112925","display_name":"Max Planck Institute for Biological Cybernetics","ror":"https://ror.org/026nmvv73","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210112925"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Klaus-Robert M\u00fcller","raw_affiliation_strings":["GMD First, Rudower Chaussee 5, 12489 Berlin, Germany","Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"GMD First, Rudower Chaussee 5, 12489 Berlin, Germany","institution_ids":[]},{"raw_affiliation_string":"Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society","institution_ids":["https://openalex.org/I149899117","https://openalex.org/I4210112925"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5090351022"],"corresponding_institution_ids":[],"apc_list":{"value":3110,"currency":"USD","value_usd":3110},"apc_paid":null,"fwci":18.0736,"has_fulltext":false,"cited_by_count":621,"citation_normalized_percentile":{"value":0.99432858,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"11","issue":"4","first_page":"637","last_page":"649"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.576200008392334,"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"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.576200008392334,"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/T12676","display_name":"Machine Learning and ELM","score":0.2946999967098236,"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.050999999046325684,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/regularization-operators","display_name":"regularization operators","score":0.9110000133514404},{"id":"https://openalex.org/keywords/regularization-networks","display_name":"regularization networks","score":0.9879999756813049},{"id":"https://openalex.org/keywords/green-s-function","display_name":"Green's function","score":0.984000027179718},{"id":"https://openalex.org/keywords/polynomial-kernel","display_name":"polynomial kernel","score":0.9240000247955322},{"id":"https://openalex.org/keywords/translation-invariant-kernels","display_name":"translation-invariant kernels","score":0.9959999918937683},{"id":"https://openalex.org/keywords/periodic-domain","display_name":"periodic domain","score":0.8149999976158142},{"id":"https://openalex.org/keywords/radial-basis-functions","display_name":"radial basis functions","score":0.9539999961853027},{"id":"https://openalex.org/keywords/kernel-methods","display_name":"kernel methods","score":0.45100000500679016}],"concepts":[{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7537028789520264},{"id":"https://openalex.org/C141718189","wikidata":"https://www.wikidata.org/wiki/Q7309628","display_name":"Regularization perspectives on support vector machines","level":4,"score":0.667681097984314},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6225693225860596},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.6036655902862549},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4724733531475067},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.362946093082428},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34762537479400635},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3145279884338379},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3116404414176941},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2592313289642334},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.13305088877677917},{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1016/s0893-6080(98)00032-x","doi":"https://doi.org/10.1016/s0893-6080(98)00032-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0893-6080(98)00032-x","pdf_url":null,"source":{"id":"https://openalex.org/S123019304","display_name":"Neural Networks","issn_l":"0893-6080","issn":["0893-6080","1879-2782"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","ccf-b","cwts-core","dongbi-b","doyens","erih-plus","jufo-3","ki-jl-1","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Networks","raw_type":"journal-article"},{"id":"pmid:12662802","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/12662802","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural networks : the official journal of the International Neural Network Society","raw_type":"Journal Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.411.8208","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.411.8208","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cbio.ensmp.fr/~jvert/svn/bibli/local/Smola1998connection.pdf","raw_type":"text"},{"id":"pmh:oai:fraunhofer.de:2004902928","doi":null,"is_oa":false,"landing_page_url":"http://publica.fraunhofer.de/documents/2004902928.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400801","display_name":"Publikationsdatenbank der Fraunhofer-Gesellschaft (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fraunhofer FIRST","raw_type":"Journal Article"},{"id":"pmh:oai:publica.fraunhofer.de:publica/193964","doi":null,"is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/193964","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"},{"id":"pmh:oai:pure.mpg.de:item_1793946","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-0013-E865-0","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Neural networks","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320322572","display_name":"Studienstiftung des Deutschen Volkes","ror":"https://ror.org/05xwwfy96"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W854322902","https://openalex.org/W1517084761","https://openalex.org/W1526146785","https://openalex.org/W1530699444","https://openalex.org/W1548139318","https://openalex.org/W1554663460","https://openalex.org/W1574672153","https://openalex.org/W1588470797","https://openalex.org/W1964290766","https://openalex.org/W1995558350","https://openalex.org/W1998167411","https://openalex.org/W2002355073","https://openalex.org/W2026289804","https://openalex.org/W2039402388","https://openalex.org/W2043076104","https://openalex.org/W2055522016","https://openalex.org/W2061543840","https://openalex.org/W2069426496","https://openalex.org/W2077543318","https://openalex.org/W2082100828","https://openalex.org/W2087347434","https://openalex.org/W2094507611","https://openalex.org/W2121649666","https://openalex.org/W2123737232","https://openalex.org/W2135998368","https://openalex.org/W2140095548","https://openalex.org/W2141212940","https://openalex.org/W2146855196","https://openalex.org/W2151467704","https://openalex.org/W2156512439","https://openalex.org/W2156909104","https://openalex.org/W2162836072","https://openalex.org/W2319026302","https://openalex.org/W2563370810","https://openalex.org/W2798987218","https://openalex.org/W3040267042","https://openalex.org/W4239510810","https://openalex.org/W4244829582","https://openalex.org/W4298831272","https://openalex.org/W4298876635","https://openalex.org/W4388297464","https://openalex.org/W6631784618","https://openalex.org/W6729737291"],"related_works":["https://openalex.org/W2135998368","https://openalex.org/W7024288073","https://openalex.org/W6986842468","https://openalex.org/W1529331786","https://openalex.org/W2139999468","https://openalex.org/W2074353100","https://openalex.org/W2533558946","https://openalex.org/W2108136473","https://openalex.org/W1995558350","https://openalex.org/W2153540477"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":17},{"year":2021,"cited_by_count":18},{"year":2020,"cited_by_count":34},{"year":2019,"cited_by_count":16},{"year":2018,"cited_by_count":24},{"year":2017,"cited_by_count":32},{"year":2016,"cited_by_count":16},{"year":2015,"cited_by_count":22},{"year":2014,"cited_by_count":18},{"year":2013,"cited_by_count":33},{"year":2012,"cited_by_count":23}],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2016-06-24T00:00:00"}