{"id":"https://openalex.org/W1718583055","doi":"https://doi.org/10.3233/kes-2007-11101","title":"On optimal degree selection for polynomial kernel with support vector machines: Theoretical and empirical investigations","display_name":"On optimal degree selection for polynomial kernel with support vector machines: Theoretical and empirical investigations","publication_year":2007,"publication_date":"2007-02-01","ids":{"openalex":"https://openalex.org/W1718583055","doi":"https://doi.org/10.3233/kes-2007-11101","mag":"1718583055"},"language":"en","primary_location":{"id":"doi:10.3233/kes-2007-11101","is_oa":false,"landing_page_url":"https://doi.org/10.3233/kes-2007-11101","pdf_url":null,"source":{"id":"https://openalex.org/S133764092","display_name":"International Journal of Knowledge-based and Intelligent Engineering Systems","issn_l":"1327-2314","issn":["1327-2314","1875-8827"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Knowledge-based and Intelligent Engineering Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://figshare.com/articles/journal_contribution/On_optimal_degree_selection_for_polynomial_kernel_with_support_vector_machines_Theoretical_and_empirical_investigations/13402847","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111934143","display_name":"Shawkat Ali","orcid":null},"institutions":[{"id":"https://openalex.org/I74899385","display_name":"Central Queensland University","ror":"https://ror.org/023q4bk22","country_code":"AU","type":"education","lineage":["https://openalex.org/I74899385"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Shawkat Ali","raw_affiliation_strings":["School of Computer Science, Central Queensland University, QLD 4702, Australia VIC 3125, Australia","(Correspd. E-mail: s.ali@cqu.edu.au) School of Computer Science, Central Queensland University, QLD 4702, Australia VIC 3125, Australia#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Central Queensland University, QLD 4702, Australia VIC 3125, Australia","institution_ids":["https://openalex.org/I74899385"]},{"raw_affiliation_string":"(Correspd. E-mail: s.ali@cqu.edu.au) School of Computer Science, Central Queensland University, QLD 4702, Australia VIC 3125, Australia#TAB#","institution_ids":["https://openalex.org/I74899385"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039491324","display_name":"Kate Smith\u2010Miles","orcid":"https://orcid.org/0000-0003-2718-7680"},"institutions":[{"id":"https://openalex.org/I149704539","display_name":"Deakin University","ror":"https://ror.org/02czsnj07","country_code":"AU","type":"education","lineage":["https://openalex.org/I149704539"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Kate Smith-Miles","raw_affiliation_strings":["School of Engineering and Information Technology, Deakin University, QLD 4702, Australia VIC 3125, Australia. E-mail: kate.smith-miles@deakin.edu.au","School of Engineering and Information Technology, Deakin University, QLD 4702, Australia VIC 3125, Australia. E-mail: kate.smith-miles@deakin.edu.au#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Engineering and Information Technology, Deakin University, QLD 4702, Australia VIC 3125, Australia. E-mail: kate.smith-miles@deakin.edu.au","institution_ids":["https://openalex.org/I149704539"]},{"raw_affiliation_string":"School of Engineering and Information Technology, Deakin University, QLD 4702, Australia VIC 3125, Australia. E-mail: kate.smith-miles@deakin.edu.au#TAB#","institution_ids":["https://openalex.org/I149704539"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6581,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.70039995,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"11","issue":"1","first_page":"1","last_page":"18"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9990000128746033,"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":0.9990000128746033,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.998199999332428,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9909999966621399,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polynomial-kernel","display_name":"Polynomial kernel","score":0.7139312624931335},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.6900191903114319},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.6246041655540466},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5543912649154663},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5333770513534546},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.49973559379577637},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.43189772963523865},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4215971827507019},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37355953454971313},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3587118983268738},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.3475983142852783},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23724031448364258},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.21932578086853027},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10011133551597595},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.061619341373443604}],"concepts":[{"id":"https://openalex.org/C160446489","wikidata":"https://www.wikidata.org/wiki/Q7226642","display_name":"Polynomial kernel","level":4,"score":0.7139312624931335},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6900191903114319},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.6246041655540466},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5543912649154663},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5333770513534546},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.49973559379577637},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.43189772963523865},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4215971827507019},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37355953454971313},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3587118983268738},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.3475983142852783},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23724031448364258},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.21932578086853027},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10011133551597595},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.061619341373443604},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3233/kes-2007-11101","is_oa":false,"landing_page_url":"https://doi.org/10.3233/kes-2007-11101","pdf_url":null,"source":{"id":"https://openalex.org/S133764092","display_name":"International Journal of Knowledge-based and Intelligent Engineering Systems","issn_l":"1327-2314","issn":["1327-2314","1875-8827"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Knowledge-based and Intelligent Engineering Systems","raw_type":"journal-article"},{"id":"pmh:oai:acquire.cqu.edu.au:cqu:2830","is_oa":false,"landing_page_url":"http://hdl.cqu.edu.au/10018/12839","pdf_url":null,"source":{"id":"https://openalex.org/S4306400635","display_name":"Acquire (CQUniversity)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I74899385","host_organization_name":"Central Queensland University","host_organization_lineage":["https://openalex.org/I74899385"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Ali, ABMS, Smith-Miles, K, (2007). On optimal degree selection for polynomial kernel with support vector machines : Theoretical and empirical investigations. International Journal of Knowledge-Based and Intelligent Engineering Systems, Vol. 11, No. 1,  p. 1-18 http://dx.doi.org/10.3233/kes-2007-11101","raw_type":"electronic resource"},{"id":"pmh:oai:figshare.com:article/13402847","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/On_optimal_degree_selection_for_polynomial_kernel_with_support_vector_machines_Theoretical_and_empirical_investigations/13402847","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:figshare.com:article/13402847","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/On_optimal_degree_selection_for_polynomial_kernel_with_support_vector_machines_Theoretical_and_empirical_investigations/13402847","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W175058090","https://openalex.org/W1485296084","https://openalex.org/W1512022526","https://openalex.org/W1545008731","https://openalex.org/W1547701650","https://openalex.org/W1569652073","https://openalex.org/W1869391892","https://openalex.org/W1950624164","https://openalex.org/W1990317593","https://openalex.org/W2038094994","https://openalex.org/W2041406732","https://openalex.org/W2050424193","https://openalex.org/W2076118331","https://openalex.org/W2087347434","https://openalex.org/W2098263691","https://openalex.org/W2100548091","https://openalex.org/W2110652811","https://openalex.org/W2114367267","https://openalex.org/W2117519893","https://openalex.org/W2119821739","https://openalex.org/W2125027820","https://openalex.org/W2125055259","https://openalex.org/W2127753881","https://openalex.org/W2128041025","https://openalex.org/W2133028937","https://openalex.org/W2143426320","https://openalex.org/W2144513243","https://openalex.org/W2146610201","https://openalex.org/W2149684865","https://openalex.org/W2156909104","https://openalex.org/W2164359548","https://openalex.org/W2182468807","https://openalex.org/W2282078507","https://openalex.org/W2533558946","https://openalex.org/W2975932795","https://openalex.org/W3112020351","https://openalex.org/W4299490599"],"related_works":["https://openalex.org/W1822011595","https://openalex.org/W3123056048","https://openalex.org/W2483985259","https://openalex.org/W2169565408","https://openalex.org/W2095626363","https://openalex.org/W2420851703","https://openalex.org/W1548581150","https://openalex.org/W2165576085","https://openalex.org/W2179275589","https://openalex.org/W1603091392"],"abstract_inverted_index":{"The":[0],"key":[1],"challenge":[2],"in":[3],"kernel":[4,14,26],"based":[5],"learning":[6],"algorithms":[7],"is":[8,27],"the":[9,20,34],"choice":[10],"of":[11,23,33],"an":[12],"appropriate":[13],"and":[15],"its":[16],"optimal":[17,21],"parameters.":[18],"Selecting":[19],"degree":[22],"a":[24],"polynomial":[25],"critical":[28],"to":[29],"ensure":[30],"good":[31],"generalisation":[32],"resulting":[35],"support":[36],"vector":[37],"mac":[38]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}