{"id":"https://openalex.org/W1512227276","doi":"https://doi.org/10.1007/978-3-540-45167-9_7","title":"Maximal Margin Classification for Metric Spaces","display_name":"Maximal Margin Classification for Metric Spaces","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1512227276","doi":"https://doi.org/10.1007/978-3-540-45167-9_7","mag":"1512227276"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-45167-9_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-45167-9_7","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book","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/A5025830560","display_name":"Matthias Hein","orcid":"https://orcid.org/0000-0002-8751-7760"},"institutions":[{"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"]},{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"funder","lineage":["https://openalex.org/I149899117"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Matthias Hein","raw_affiliation_strings":["Max Planck Institute for Biological Cybernetics, Spemannstr. 38, 72076 Tuebingen, Germany","Max Planck Institute for Biological Cybernetics, Max Planck Society"],"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Biological Cybernetics, Spemannstr. 38, 72076 Tuebingen, Germany","institution_ids":["https://openalex.org/I4210112925"]},{"raw_affiliation_string":"Max Planck Institute for Biological Cybernetics, Max Planck Society","institution_ids":["https://openalex.org/I4210112925","https://openalex.org/I149899117"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014847122","display_name":"Olivier Bousquet","orcid":"https://orcid.org/0000-0002-2567-2079"},"institutions":[{"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"]},{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"funder","lineage":["https://openalex.org/I149899117"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Olivier Bousquet","raw_affiliation_strings":["Max Planck Institute for Biological Cybernetics, Spemannstr. 38, 72076 Tuebingen, Germany","Max Planck Institute for Biological Cybernetics, Max Planck Society"],"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Biological Cybernetics, Spemannstr. 38, 72076 Tuebingen, Germany","institution_ids":["https://openalex.org/I4210112925"]},{"raw_affiliation_string":"Max Planck Institute for Biological Cybernetics, Max Planck Society","institution_ids":["https://openalex.org/I4210112925","https://openalex.org/I149899117"]}]},{"author_position":"last","author":{"id":null,"display_name":"Bernhard Sch\u00f6lkopf","orcid":null},"institutions":[{"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":["Max Planck Institute for Biological Cybernetics, Spemannstr. 38, 72076 Tuebingen, Germany"],"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Biological Cybernetics, Spemannstr. 38, 72076 Tuebingen, Germany","institution_ids":["https://openalex.org/I4210112925"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5025830560"],"corresponding_institution_ids":["https://openalex.org/I149899117","https://openalex.org/I4210112925"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.6467,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.93451131,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"71","issue":"3","first_page":"333","last_page":"359"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9707000255584717,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9707000255584717,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9585000276565552,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9344000220298767,"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/margin","display_name":"Margin (machine learning)","score":0.7449851036071777},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.6846835613250732},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.6824209690093994},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.6420577764511108},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5803496837615967},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.5306987166404724},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5221179723739624},{"id":"https://openalex.org/keywords/reproducing-kernel-hilbert-space","display_name":"Reproducing kernel Hilbert space","score":0.47695958614349365},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44982004165649414},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4082353115081787},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3008142113685608},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.27004820108413696},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17392346262931824},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.0855359137058258}],"concepts":[{"id":"https://openalex.org/C774472","wikidata":"https://www.wikidata.org/wiki/Q6760393","display_name":"Margin (machine learning)","level":2,"score":0.7449851036071777},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.6846835613250732},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6824209690093994},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.6420577764511108},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5803496837615967},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.5306987166404724},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5221179723739624},{"id":"https://openalex.org/C80884492","wikidata":"https://www.wikidata.org/wiki/Q3345678","display_name":"Reproducing kernel Hilbert space","level":3,"score":0.47695958614349365},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44982004165649414},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4082353115081787},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3008142113685608},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.27004820108413696},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17392346262931824},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0855359137058258},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":9,"locations":[{"id":"doi:10.1007/978-3-540-45167-9_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-45167-9_7","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"doi:10.1016/j.jcss.2004.10.013","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jcss.2004.10.013","pdf_url":null,"source":{"id":"https://openalex.org/S141020589","display_name":"Journal of Computer and System Sciences","issn_l":"0022-0000","issn":["0022-0000","1090-2724"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Journal of Computer and System Sciences","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.105.3205","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.105.3205","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://mpa.itc.it/static/sml06/ExamPapers/hein05maximal.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.84.9466","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.84.9466","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.kyb.mpg.de/publications/pdfs/pdf2263.pdf","raw_type":"text"},{"id":"pmh:oai:edoc.mpg.de:198184","is_oa":false,"landing_page_url":"http://edoc.mpg.de/198184","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Learning Theory and Kernel Machines, 72-86 (2003)","raw_type":"Conference-Paper"},{"id":"pmh:oai:edoc.mpg.de:269995","is_oa":false,"landing_page_url":"http://edoc.mpg.de/269995","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Computer and System Sciences, v.71, 333-359 (2005)","raw_type":"Article"},{"id":"pmh:oai:pure.mpg.de:item_1791284","is_oa":false,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-0013-D3F9-2","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":"Journal of Computer and System Sciences","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pure.mpg.de:item_1792034","is_oa":false,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-0013-D9D5-B","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":"Learning Theory and Kernel Machines: 16th Annual Conference on Learning Theory and 7th Kernel Workshop, COLT/Kernel 2003, Washington, DC, USA, August 24-27, 2003","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"mag:1512227276","is_oa":false,"landing_page_url":"http://pubman.mpdl.mpg.de/pubman/item/escidoc:1792034","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Lecture notes in computer science","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W179694669","https://openalex.org/W265200330","https://openalex.org/W1560724230","https://openalex.org/W1604585277","https://openalex.org/W1998167411","https://openalex.org/W2041613709","https://openalex.org/W2047278710","https://openalex.org/W2082100828","https://openalex.org/W2089706081","https://openalex.org/W2119451546","https://openalex.org/W2133324003","https://openalex.org/W2147281608","https://openalex.org/W2157656721","https://openalex.org/W4236643049","https://openalex.org/W4248693963","https://openalex.org/W4251115686","https://openalex.org/W6603953171","https://openalex.org/W6683291568","https://openalex.org/W6684403227"],"related_works":["https://openalex.org/W2156909104","https://openalex.org/W2133324003","https://openalex.org/W1604585277","https://openalex.org/W1563088657","https://openalex.org/W3023786531","https://openalex.org/W265200330","https://openalex.org/W2148603752","https://openalex.org/W2132452995","https://openalex.org/W2521936059","https://openalex.org/W1980738513","https://openalex.org/W1495850179","https://openalex.org/W2604810510","https://openalex.org/W2963567384","https://openalex.org/W3169276643","https://openalex.org/W2885016504","https://openalex.org/W2040733118","https://openalex.org/W2214019702","https://openalex.org/W2962746664","https://openalex.org/W1967745091","https://openalex.org/W3038260330"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
