{"id":"https://openalex.org/W7058071925","doi":null,"title":"Learning with Kernels: Support Vector Machines, Regularization, Optimization, and Beyond","display_name":"Learning with Kernels: Support Vector Machines, Regularization, Optimization, and Beyond","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W7058071925"},"language":"en","primary_location":{"id":"pmh:oai:aleph.bib-bvb.de:BVB01-009886274","doi":null,"is_oa":false,"landing_page_url":"https://bvbr.bib-bvb.de:443/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009886274&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"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","observed_orcids":["https://orcid.org/0000-0002-8177-0925"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sch\u00f6lkopf, Bernhard 1968-","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Smola, Alexander J.","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Smola, Alexander J.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3504,"has_fulltext":false,"cited_by_count":165,"citation_normalized_percentile":{"value":0.84570433,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9023000001907349,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9023000001907349,"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":0.05209999904036522,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.015300000086426735,"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/support-vector-machine","display_name":"support vector machine","score":0.9990000128746033},{"id":"https://openalex.org/keywords/kernel-methods","display_name":"kernel methods","score":0.9850000143051147},{"id":"https://openalex.org/keywords/kernel-functions","display_name":"kernel functions","score":0.6779999732971191},{"id":"https://openalex.org/keywords/regularization","display_name":"regularization","score":0.7580000162124634},{"id":"https://openalex.org/keywords/statistical-learning-theory","display_name":"statistical learning theory","score":0.8500000238418579},{"id":"https://openalex.org/keywords/optimization","display_name":"optimization","score":0.5149999856948853},{"id":"https://openalex.org/keywords/machine-learning-algorithms","display_name":"machine learning algorithms","score":0.6759999990463257},{"id":"https://openalex.org/keywords/neural-network","display_name":"artificial neural networks","score":0.531000018119812}],"concepts":[{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.698199987411499},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6951000094413757},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6948000192642212},{"id":"https://openalex.org/C140417398","wikidata":"https://www.wikidata.org/wiki/Q16933942","display_name":"Tree kernel","level":5,"score":0.6107000112533569},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.5813999772071838},{"id":"https://openalex.org/C50292564","wikidata":"https://www.wikidata.org/wiki/Q2462783","display_name":"Computational learning theory","level":3,"score":0.5669999718666077},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.5665000081062317},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5543000102043152},{"id":"https://openalex.org/C24138899","wikidata":"https://www.wikidata.org/wiki/Q17141258","display_name":"Instance-based learning","level":3,"score":0.4810999929904938},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.4404999911785126},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.4374000132083893},{"id":"https://openalex.org/C77967617","wikidata":"https://www.wikidata.org/wiki/Q4677561","display_name":"Active learning (machine learning)","level":2,"score":0.42239999771118164},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4068000018596649},{"id":"https://openalex.org/C115903097","wikidata":"https://www.wikidata.org/wiki/Q7094097","display_name":"Online machine learning","level":3,"score":0.4011000096797943},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.387800008058548},{"id":"https://openalex.org/C100595998","wikidata":"https://www.wikidata.org/wiki/Q11731931","display_name":"Graph kernel","level":5,"score":0.3765999972820282},{"id":"https://openalex.org/C75866337","wikidata":"https://www.wikidata.org/wiki/Q7280263","display_name":"Radial basis function kernel","level":4,"score":0.3734999895095825},{"id":"https://openalex.org/C160446489","wikidata":"https://www.wikidata.org/wiki/Q7226642","display_name":"Polynomial kernel","level":4,"score":0.3709000051021576},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.36959999799728394},{"id":"https://openalex.org/C32254414","wikidata":"https://www.wikidata.org/wiki/Q4724364","display_name":"Algorithmic learning theory","level":3,"score":0.3644999861717224},{"id":"https://openalex.org/C2779915298","wikidata":"https://www.wikidata.org/wiki/Q7604400","display_name":"Statistical learning theory","level":3,"score":0.3246999979019165},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.32010000944137573},{"id":"https://openalex.org/C14948415","wikidata":"https://www.wikidata.org/wiki/Q7310972","display_name":"Relevance vector machine","level":3,"score":0.31859999895095825},{"id":"https://openalex.org/C2776879701","wikidata":"https://www.wikidata.org/wiki/Q25048660","display_name":"Multiple kernel learning","level":4,"score":0.3111000061035156},{"id":"https://openalex.org/C125168437","wikidata":"https://www.wikidata.org/wiki/Q7625184","display_name":"Structured support vector machine","level":3,"score":0.2962000072002411},{"id":"https://openalex.org/C2982736386","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Statistical learning","level":2,"score":0.29260000586509705},{"id":"https://openalex.org/C55851704","wikidata":"https://www.wikidata.org/wiki/Q7623983","display_name":"String kernel","level":5,"score":0.2904999852180481},{"id":"https://openalex.org/C188888258","wikidata":"https://www.wikidata.org/wiki/Q7353390","display_name":"Robot learning","level":4,"score":0.26589998602867126},{"id":"https://openalex.org/C134517425","wikidata":"https://www.wikidata.org/wiki/Q16000131","display_name":"Kernel embedding of distributions","level":4,"score":0.2556000053882599}],"mesh":[],"locations_count":4,"locations":[{"id":"pmh:oai:aleph.bib-bvb.de:BVB01-009886274","doi":null,"is_oa":false,"landing_page_url":"https://bvbr.bib-bvb.de:443/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009886274&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:aleph.bib-bvb.de:BVB01-027943443","doi":null,"is_oa":false,"landing_page_url":"http://ieeexplore.ieee.org/xpl/bkabstractplus.jsp?bkn=6267332","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:cds.cern.ch:791819","doi":null,"is_oa":false,"landing_page_url":"http://cds.cern.ch/record/791819","pdf_url":null,"source":{"id":"https://openalex.org/S4306402195","display_name":"CERN Document Server (European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:pure.mpg.de:item_1792652","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-0013-DE1E-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,"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":"Adaptive Computation and Machine Learning","raw_type":"info:eu-repo/semantics/book"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1560724230","https://openalex.org/W1563088657","https://openalex.org/W4241363768","https://openalex.org/W2101057528","https://openalex.org/W1601740268","https://openalex.org/W4312960235","https://openalex.org/W2343091402","https://openalex.org/W1543972876","https://openalex.org/W2134407776","https://openalex.org/W2479224257"],"abstract_inverted_index":{"In":[0],"the":[1,18,63,66,70,102,106,111,118,133,150,158],"1990s,":[2],"a":[3,27,37,42,50,79,123],"new":[4,28],"type":[5],"of":[6,30,40,44,65,81,117,135],"learning":[7,16,33,45,137],"algorithm":[8],"was":[9],"developed,":[10],"based":[11],"on":[12],"results":[13],"from":[14],"statistical":[15],"theory:":[17],"Support":[19],"Vector":[20],"Machine":[21],"(SVM).":[22],"This":[23],"gave":[24],"rise":[25],"to":[26,57,95,121,131,146],"class":[29],"theoretically":[31,139],"elegant":[32],"machines":[34,48],"that":[35,53,153],"use":[36],"central":[38],"concept":[39],"SVMs-kernels\u0097for":[41],"number":[43],"tasks.":[46],"Kernel":[47],"provide":[49],"modular":[51],"framework":[52],"can":[54],"be":[55],"adapted":[56],"different":[58],"tasks":[59],"and":[60,69,87,97,145,148],"domains":[61],"by":[62],"choice":[64],"kernel":[67,99,143],"function":[68],"base":[71],"algorithm.":[72],"They":[73],"are":[74],"replacing":[75],"neural":[76],"networks":[77],"in":[78],"variety":[80],"fields,":[82],"including":[83],"engineering,":[84],"information":[85],"retrieval,":[86],"bioinformatics.":[88],"Learning":[89],"with":[90,105,126],"Kernels":[91],"provides":[92,115],"an":[93],"introduction":[94],"SVMs":[96],"related":[98],"methods.":[100],"Although":[101],"book":[103],"begins":[104],"basics,":[107],"it":[108],"also":[109],"includes":[110],"latest":[112],"research.":[113],"It":[114],"all":[116],"concepts":[119],"necessary":[120],"enable":[122],"reader":[124],"equipped":[125],"some":[127],"basic":[128],"mathematical":[129],"knowledge":[130],"enter":[132],"world":[134],"machine":[136],"using":[138],"well-founded":[140],"yet":[141],"easy-to-use":[142],"algorithms":[144,152],"understand":[147],"apply":[149],"powerful":[151],"have":[154],"been":[155],"developed":[156],"over":[157],"last":[159],"few":[160],"years.":[161]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":13},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":13},{"year":2020,"cited_by_count":15},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":13},{"year":2015,"cited_by_count":14},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":5}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2025-10-10T00:00:00"}
