{"id":"https://openalex.org/W2134148622","doi":"https://doi.org/10.1109/icsmc.2007.4413725","title":"Solving SVM inverse problems based on clustering","display_name":"Solving SVM inverse problems based on clustering","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2134148622","doi":"https://doi.org/10.1109/icsmc.2007.4413725","mag":"2134148622"},"language":"en","primary_location":{"id":"doi:10.1109/icsmc.2007.4413725","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsmc.2007.4413725","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE International Conference on Systems, Man and Cybernetics","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/A5073006299","display_name":"Xizhao Wang","orcid":"https://orcid.org/0000-0001-6036-4728"},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xizhao Wang","raw_affiliation_strings":["Machine Learning Center, Faculty of Mathematics and Computer Science, Hebei University, China","Hebei Univ., Hebei"],"affiliations":[{"raw_affiliation_string":"Machine Learning Center, Faculty of Mathematics and Computer Science, Hebei University, China","institution_ids":["https://openalex.org/I43337087"]},{"raw_affiliation_string":"Hebei Univ., Hebei","institution_ids":["https://openalex.org/I43337087"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100928102","display_name":"Shuxia Lu","orcid":null},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuxia Lu","raw_affiliation_strings":["Machine Learning Center, Faculty of Mathematics and Computer Science, Hebei University, China","Hebei Univ., Hebei"],"affiliations":[{"raw_affiliation_string":"Machine Learning Center, Faculty of Mathematics and Computer Science, Hebei University, China","institution_ids":["https://openalex.org/I43337087"]},{"raw_affiliation_string":"Hebei Univ., Hebei","institution_ids":["https://openalex.org/I43337087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048476242","display_name":"Ruixian Zhu","orcid":null},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ruixian Zhu","raw_affiliation_strings":["Machine Learning Center, Faculty of Mathematics and Computer Science, Hebei University, China","Hebei Univ., Hebei"],"affiliations":[{"raw_affiliation_string":"Machine Learning Center, Faculty of Mathematics and Computer Science, Hebei University, China","institution_ids":["https://openalex.org/I43337087"]},{"raw_affiliation_string":"Hebei Univ., Hebei","institution_ids":["https://openalex.org/I43337087"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5073006299"],"corresponding_institution_ids":["https://openalex.org/I43337087"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15707012,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"32","issue":null,"first_page":"3615","last_page":"3620"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9993000030517578,"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/T10320","display_name":"Neural Networks and Applications","score":0.9941999912261963,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9940000176429749,"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":0.8272194862365723},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.7234903573989868},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.689319908618927},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.6706706285476685},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6290527582168579},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.6186506152153015},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.5747358202934265},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5214478373527527},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.506754457950592},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4750492572784424},{"id":"https://openalex.org/keywords/binary-classification","display_name":"Binary classification","score":0.4684954285621643},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4129316806793213},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.38567423820495605},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3623255789279938},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3538249731063843},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33593887090682983},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3159208297729492},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.13995757699012756},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07869738340377808},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0638890266418457}],"concepts":[{"id":"https://openalex.org/C774472","wikidata":"https://www.wikidata.org/wiki/Q6760393","display_name":"Margin (machine learning)","level":2,"score":0.8272194862365723},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.7234903573989868},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.689319908618927},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.6706706285476685},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6290527582168579},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6186506152153015},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.5747358202934265},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5214478373527527},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.506754457950592},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4750492572784424},{"id":"https://openalex.org/C66905080","wikidata":"https://www.wikidata.org/wiki/Q17005494","display_name":"Binary classification","level":3,"score":0.4684954285621643},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4129316806793213},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.38567423820495605},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3623255789279938},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3538249731063843},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33593887090682983},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3159208297729492},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.13995757699012756},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07869738340377808},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0638890266418457},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icsmc.2007.4413725","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsmc.2007.4413725","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE International Conference on Systems, Man and Cybernetics","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1604585277","https://openalex.org/W1969193896","https://openalex.org/W2071934013","https://openalex.org/W2073166790","https://openalex.org/W2148603752","https://openalex.org/W2149298154","https://openalex.org/W2156909104","https://openalex.org/W4230674625","https://openalex.org/W6636174462"],"related_works":["https://openalex.org/W3125011624","https://openalex.org/W4321064619","https://openalex.org/W1508631387","https://openalex.org/W2370917603","https://openalex.org/W2009525028","https://openalex.org/W2952760143","https://openalex.org/W2017776670","https://openalex.org/W2347897961","https://openalex.org/W2979236518","https://openalex.org/W2358318464"],"abstract_inverted_index":{"Support":[0],"vector":[1],"machine":[2],"(SVM)":[3],"theory":[4],"was":[5],"originally":[6],"developed":[7],"on":[8],"the":[9,35,38,45,59,69,72,81,85,91,94,102,107,110,114,120,123,128],"basis":[10],"of":[11,21,71],"a":[12,27],"linearly":[13,103],"separable":[14,104],"binary":[15],"classification":[16],"problem.":[17,61],"The":[18],"inverse":[19,60,73],"problem":[20,74],"SVM":[22],"is":[23,49,78,88,117],"how":[24],"to":[25,44,51,58,67,90,119],"split":[26],"given":[28],"dataset":[29],"into":[30],"two":[31,39,86,95,115,124],"clusters":[32,40,87],"such":[33],"that":[34,80],"margin":[36,83,112],"between":[37,84,93,113,122],"attains":[41],"maximum.":[42],"Due":[43],"computational":[46],"complexity,":[47],"it":[48],"difficult":[50],"give":[52],"an":[53,65],"exact":[54],"and":[55],"feasible":[56],"solution":[57],"This":[62],"paper":[63],"makes":[64],"attempt":[66],"reduce":[68],"complexity":[70],"by":[75],"clustering.":[76],"It":[77],"demonstrated":[79],"maximum":[82,111],"equivalent":[89,118],"distance":[92,121],"closest":[96,125],"points":[97,126],"in":[98,101,127],"convex":[99,130],"hulls":[100],"case.":[105],"For":[106],"inseparable":[108],"case,":[109],"sets":[116],"reduced":[129],"hulls.":[131]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}