{"id":"https://openalex.org/W1514876195","doi":"https://doi.org/10.1007/978-3-642-72282-0_12","title":"Fast Approximation of Support Vector Kernel Expansions, and an Interpretation of Clustering as Approximation in Feature Spaces","display_name":"Fast Approximation of Support Vector Kernel Expansions, and an Interpretation of Clustering as Approximation in Feature Spaces","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W1514876195","doi":"https://doi.org/10.1007/978-3-642-72282-0_12","mag":"1514876195"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-72282-0_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-72282-0_12","pdf_url":null,"source":{"id":"https://openalex.org/S4210235615","display_name":"Informatik aktuell","issn_l":"1431-472X","issn":["1431-472X","2628-8958"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Informatik aktuell","raw_type":"book-chapter"},"type":"book-chapter","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/A5044005697","display_name":"Bernhard Sch\u00f6lkopf","orcid":"https://orcid.org/0000-0002-8177-0925"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Bernhard Sch\u00f6lkopf","raw_affiliation_strings":["GMD FIRST, Rudower Chaussee 5, 12489, Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"GMD FIRST, Rudower Chaussee 5, 12489, Berlin, Germany","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031052815","display_name":"Phil Knirsch","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Phil Knirsch","raw_affiliation_strings":["Bell Labs, Lucent Technologies, Crawfords Corner Rd., Holmdel, NJ, 07733, USA"],"affiliations":[{"raw_affiliation_string":"Bell Labs, Lucent Technologies, Crawfords Corner Rd., Holmdel, NJ, 07733, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090351022","display_name":"Alex Smola","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alex Smola","raw_affiliation_strings":["GMD FIRST, Rudower Chaussee 5, 12489, Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"GMD FIRST, Rudower Chaussee 5, 12489, Berlin, Germany","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069708056","display_name":"Chris Burges","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chris Burges","raw_affiliation_strings":["Bell Labs, Lucent Technologies, Crawfords Corner Rd., Holmdel, NJ, 07733, USA"],"affiliations":[{"raw_affiliation_string":"Bell Labs, Lucent Technologies, Crawfords Corner Rd., Holmdel, NJ, 07733, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5044005697"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6304,"has_fulltext":false,"cited_by_count":79,"citation_normalized_percentile":{"value":0.81313526,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"125","last_page":"132"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9997000098228455,"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":0.9997000098228455,"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/T10057","display_name":"Face and Expression Recognition","score":0.9994000196456909,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.995199978351593,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.6993091702461243},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.632715106010437},{"id":"https://openalex.org/keywords/reproducing-kernel-hilbert-space","display_name":"Reproducing kernel Hilbert space","score":0.610970139503479},{"id":"https://openalex.org/keywords/kernel-embedding-of-distributions","display_name":"Kernel embedding of distributions","score":0.5955529808998108},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.5803685188293457},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.5324749946594238},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.4583965241909027},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.4323582649230957},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4129182696342468},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.4111372232437134},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3820315897464752},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3797754645347595},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3595624566078186},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.29159218072891235},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.22243115305900574}],"concepts":[{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6993091702461243},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.632715106010437},{"id":"https://openalex.org/C80884492","wikidata":"https://www.wikidata.org/wiki/Q3345678","display_name":"Reproducing kernel Hilbert space","level":3,"score":0.610970139503479},{"id":"https://openalex.org/C134517425","wikidata":"https://www.wikidata.org/wiki/Q16000131","display_name":"Kernel embedding of distributions","level":4,"score":0.5955529808998108},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.5803685188293457},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.5324749946594238},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.4583965241909027},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.4323582649230957},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4129182696342468},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.4111372232437134},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3820315897464752},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3797754645347595},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3595624566078186},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.29159218072891235},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.22243115305900574},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/978-3-642-72282-0_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-72282-0_12","pdf_url":null,"source":{"id":"https://openalex.org/S4210235615","display_name":"Informatik aktuell","issn_l":"1431-472X","issn":["1431-472X","2628-8958"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Informatik aktuell","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.676.2564","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.676.2564","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://alex.smola.org/papers/1998/SchKniSmoBur98.pdf","raw_type":"text"},{"id":"pmh:oai:fraunhofer.de:2004903156","is_oa":false,"landing_page_url":"http://publica.fraunhofer.de/documents/2004903156.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,"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":"Conference Paper"},{"id":"pmh:oai:publica.fraunhofer.de:publica/331803","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/331803","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,"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":"conference paper"},{"id":"pmh:oai:pure.mpg.de:item_1794063","is_oa":false,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-0013-E950-5","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,"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":"Mustererkennung 1998: 20. DAGM-Symposium Stuttgart, 29. September \u2013 1. Oktober 1998","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W26816478","https://openalex.org/W91227773","https://openalex.org/W854322902","https://openalex.org/W1544444001","https://openalex.org/W1676317136","https://openalex.org/W2039402388","https://openalex.org/W2055522016","https://openalex.org/W2087347434","https://openalex.org/W2106558784","https://openalex.org/W2137235295","https://openalex.org/W2140095548","https://openalex.org/W2147800946","https://openalex.org/W2156909104","https://openalex.org/W2320585129","https://openalex.org/W4244829582","https://openalex.org/W4255982026","https://openalex.org/W6601080436","https://openalex.org/W6675998881"],"related_works":["https://openalex.org/W2065805792","https://openalex.org/W1527525543","https://openalex.org/W149320920","https://openalex.org/W2962818398","https://openalex.org/W3125885229","https://openalex.org/W1975708617","https://openalex.org/W2127229869","https://openalex.org/W2535206775","https://openalex.org/W3118393464","https://openalex.org/W2111121652"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}