pgk9fzonx/Integration.txt

SVMԭ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
    ֧<><D6A7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>(SVM)<29><>Vapnik<69><6B><EFBFBD><EFBFBD><EFBFBD>о<EFBFBD>С<EFBFBD><D0A1><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Զ<EFBFBD><D4B6><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ķ<EFBFBD><C4B7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>һ<EFBFBD>ַ<EFBFBD><D6B7>༼<EFBFBD><E0BCBC><EFBFBD><EFBFBD><EFBFBD><EFBFBD>һ<EFBFBD><D2BB><EFBFBD>µķdz<C4B7><C7B3>з<EFBFBD>չǰ<D5B9><C7B0><EFBFBD>ķ<EFBFBD><C4B7>༼<EFBFBD><E0BCBC><EFBFBD><EFBFBD>֧<EFBFBD><D6A7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ļ<EFBFBD><C4BB><EFBFBD>˼<EFBFBD><CBBC><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ռ<EFBFBD><D5BC><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ռ䣬<D5BC><E4A3AC><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ų<EFBFBD>ƽ<EFBFBD><C6BD>ʹ<EFBFBD><CAB9>ƽ<EFBFBD><C6BD><EFBFBD>벻ͬ<EBB2BB><CDAC><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>֮<EFBFBD><D6AE><EFBFBD>ľ<EFBFBD><C4BE><EFBFBD><EFBFBD><EFBFBD><EFBFBD>󣬴Ӷ<F3A3ACB4><D3B6>ﵽ<EFBFBD><EFB5BD><EFBFBD><EFBFBD><EFBFBD>ķ<EFBFBD><C4B7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>㷨<EFBFBD><E3B7A8><EFBFBD><EFBFBD>ϸ<EFBFBD><CFB8><EFBFBD><EFBFBD><EFBFBD>ɲο<C9B2><CEBF><EFBFBD><EFBFBD>ס<EFBFBD>    ֧<><D6A7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Vapnik<69>Ľṹ<C4BD><E1B9B9><EFBFBD><EFBFBD><EFBFBD><EFBFBD>С<EFBFBD><D0A1>ԭ<EFBFBD>򣬾<EFBFBD><F2A3ACBE><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ѧϰ<D1A7><CFB0><EFBFBD>ķ<EFBFBD><C4B7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʹ<EFBFBD><CAB9><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ѵ<EFBFBD><D1B5><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>õ<EFBFBD><C3B5>ľ<EFBFBD><C4BE>߹<EFBFBD><DFB9><EFBFBD><EFBFBD>Զ<EFBFBD><D4B6><EFBFBD><EFBFBD>IJ<EFBFBD><C4B2>Լ<EFBFBD><D4BC><EFBFBD><EFBFBD>ܵõ<DCB5>С<EFBFBD><D0A1><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EEA1A3><EFBFBD><EFBFBD>ֻ<EFBFBD><D6BB><EFBFBD><EFBFBD><EFBFBD>޵<EFBFBD><DEB5><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ѵ<EFBFBD><D1B5><EFBFBD><EFBFBD><EFBFBD>Ϳ<EFBFBD><CDBF>Ա<EFBFBD>֤ѵ<D6A4><D1B5><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ķ<EFBFBD><C4B7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>к<EFBFBD>С<EFBFBD><D0A1><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EEA1A3><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ַ<EFBFBD>ʶ<EFBFBD><CAB6>ʱ<EFBFBD><CAB1><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ԥ<EFBFBD><D4A4><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֻ<EFBFBD><D6BB><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>޵<EFBFBD><DEB5><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ѵ<EFBFBD><D1B5><EFBFBD><EFBFBD>֧<EFBFBD><D6A7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ķ<EFBFBD><C4B7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʹѵ<CAB9><D1B5><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ķ<EFBFBD><C4B7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʶ<EFBFBD><CAB6><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ַ<EFBFBD>ʱֻ<CAB1><D6BB>С<EFBFBD><D0A1><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EEA3AC><EFBFBD>Ҵ<EFBFBD><D2B4><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ѵ<EFBFBD><D1B5><EFBFBD><EFBFBD>ʱ<EFBFBD>䡣    
    <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ݷ<EFBFBD><DDB7><EFBFBD><EFBFBD><EFBFBD><EFBFBD>⣬ͨ<E2A3AC>õ<EFBFBD><C3B5><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>緽<EFBFBD><E7B7BD><EFBFBD>Ļ<EFBFBD><C4BB><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Լ򵥵<D4BC><F2B5A5B5><EFBFBD><EFBFBD><EFBFBD>Ϊ<EFBFBD><CEAA>ϵͳ<CFB5><CDB3><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>һ<EFBFBD><D2BB><EFBFBD><EFBFBD>ƽ<EFBFBD>沢<EFBFBD>ƶ<EFBFBD><C6B6><EFBFBD><EFBFBD><EFBFBD>ֱ<EFBFBD><D6B1>ѵ<EFBFBD><D1B5><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ڲ<EFBFBD>ͬ<EFBFBD><CDAC><EFBFBD><EFBFBD><EFBFBD>ĵ<EFBFBD><C4B5><EFBFBD><EFBFBD><EFBFBD>λ<EFBFBD><CEBB>ƽ<EFBFBD><C6BD><EFBFBD>IJ<EFBFBD>ͬ<EFBFBD><CDAC><EFBFBD>档<EFBFBD><E6A1A3><EFBFBD>ִ<EFBFBD><D6B4><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ƾ<EFBFBD><C6BE><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>緽<EFBFBD><E7B7BD><EFBFBD><EFBFBD><EFBFBD>ջ<EFBFBD><D5BB>õķָ<C4B7>ƽ<EFBFBD>沢<EFBFBD><E6B2A2><EFBFBD><EFBFBD>һ<EFBFBD><D2BB><EFBFBD><EFBFBD><EFBFBD>ų<EFBFBD>ƽ<EFBFBD>棬ֻ<E6A3AC><D6BB>һ<EFBFBD><D2BB><EFBFBD>ֲ<EFBFBD><D6B2>Ĵ<EFBFBD><C4B4>ų<EFBFBD>ƽ<EFBFBD>档<EFBFBD><E6A1A3>SVM<56><4D><EFBFBD><EFBFBD><EFBFBD>ų<EFBFBD>ƽ<EFBFBD><C6BD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ת<EFBFBD><D7AA>Ϊһ<CEAA><D2BB><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʽԼ<CABD><D4BC><EFBFBD>µĶ<C2B5><C4B6>κ<EFBFBD><CEBA><EFBFBD>Ѱ<EFBFBD><D1B0><EFBFBD><EFBFBD><EFBFBD>⣬<EFBFBD><E2A3AC><EFBFBD><EFBFBD>һ<EFBFBD><D2BB>͹<EFBFBD><CDB9><EFBFBD><EFBFBD><EFBFBD>Ż<EFBFBD><C5BB><EFBFBD><EFBFBD>⣬<EFBFBD><E2A3AC><EFBFBD><EFBFBD>Ψһ<CEA8>⣬<EFBFBD>ܱ<EFBFBD>֤<EFBFBD>ҵ<EFBFBD><D2B5>ļ<EFBFBD>ֵ<EFBFBD><D6B5><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ȫ<EFBFBD><C8AB><EFBFBD><EFBFBD><EFBFBD>Ž⡣    SVMͨ<4D><CDA8>һ<EFBFBD><D2BB><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ժ<EFBFBD><D4BA><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ӳ<EFBFBD>䵽<EFBFBD><E4B5BD><EFBFBD>и<EFBFBD>ά<EFBFBD><CEAC><EFBFBD><EFBFBD>Ϊ<EFBFBD><CEAA><EFBFBD><EFBFBD>ά<EFBFBD><CEAC><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ռ䣬<D5BC><E4A3AC><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ά<EFBFBD><CEAC><EFBFBD><EFBFBD><EFBFBD>ռ<EFBFBD><D5BC><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Է<EFBFBD><D4B7>࣬<EFBFBD><E0A3AC><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ŷ<EFBFBD><C5B7>೬ƽ<E0B3AC>棬<EFBFBD><E6A3AC><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ż<EFBFBD><C5BB><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ͼ<EFBFBD><CDBC><EFBFBD><EFBFBD>б<EFBFBD><D0B1><EFBFBD><EFBFBD><EFBFBD>ʱ<EFBFBD><CAB1><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ҫ<EFBFBD><D2AA>ʽ<EFBFBD><CABD><EFBFBD><EFBFBD><EFBFBD>÷<EFBFBD><C3B7><EFBFBD><EFBFBD>Ժ<EFBFBD><D4BA><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֻ<EFBFBD><D6BB><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>˺<EFBFBD><CBBA><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ӷ<EFBFBD><D3B6><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ռ<EFBFBD>ά<EFBFBD><CEAC><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>⡣    <20><><EFBFBD><EFBFBD><EFBFBD>ַ<EFBFBD>ʶ<EFBFBD><CAB6><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ÿ<EFBFBD><C3BF><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϊһ<CEAA><D2BB><EFBFBD>ַ<EFBFBD>ͼ<EFBFBD><CDBC><EFBFBD><EFBFBD>ÿ<EFBFBD><C3BF><EFBFBD>ַ<EFBFBD>ͼ<EFBFBD><CDBC><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ɣ<EFBFBD><C9A3><EFBFBD><EFBFBD>и<EFBFBD>ά<EFBFBD><CEAC><EFBFBD>ص㡣SVMͨ<4D><CDA8><EFBFBD>˺<EFBFBD><CBBA><EFBFBD><EFBFBD>ļ<EFBFBD><C4BC>㣬<EFBFBD><E3A3AC><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ռ<EFBFBD><D5BC>ĸ<EFBFBD>ά<EFBFBD><CEAC><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ṹ<EFBFBD><E1B9B9><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>⣬ʹѵ<CAB9><D1B5>ģ<EFBFBD><C4A3><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ݵ<EFBFBD>ά<EFBFBD><CEAC><EFBFBD>޹أ<DEB9><D8A3><EFBFBD><EFBFBD><EFBFBD>ÿ<EFBFBD><C3BF><EFBFBD>ַ<EFBFBD><D6B7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ͼ<EFBFBD><CDBC><EFBFBD><EFBFBD>Ϊһ<CEAA><D2BB><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>룬<EFBFBD><EBA3AC><EFBFBD><EFBFBD>Ҫ<EFBFBD><D2AA><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ȡ<EFBFBD><C8A1><EFBFBD><EFBFBD>ʡ<EFBFBD><CAA1>ʶ<EFBFBD><CAB6>ʱ<EFBFBD>䡣

SVM<EFBFBD>㷨<EFBFBD><EFBFBD>
    ֧<><D6A7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>SVM<56><4D><EFBFBD><EFBFBD>ͨ<EFBFBD><CDA8><EFBFBD><EFBFBD>֪ѵ<D6AA><D1B5><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ѵ<EFBFBD><D1B5><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>֮<EFBFBD><D6AE><EFBFBD>Ķ<EFBFBD>Ӧ<EFBFBD><D3A6>ϵ<EFBFBD><CFB5><EFBFBD>Ա㽫ѵ<E3BDAB><D1B5><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֿ<EFBFBD><D6BF><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ԥ<EFBFBD><D4A4><EFBFBD>µ<EFBFBD>ѵ<EFBFBD><D1B5><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ӧ<EFBFBD><D3A6><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ҫ<EFBFBD><D2AA>Ϊ<EFBFBD><CEAA><EFBFBD>Կɷ<D4BF><C9B7><EFBFBD><EFBFBD>ݺͷ<DDBA><CDB7><EFBFBD><EFBFBD>Կɷ<D4BF><C9B7><EFBFBD><EFBFBD>ݣ<EFBFBD>ͨ<EFBFBD><CDA8><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>֮<EFBFBD><D6AE><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ų<EFBFBD>ƽ<EFBFBD><C6BD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ų<EFBFBD>ƽ<EFBFBD>棺<EFBFBD><E6A3BA><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Կɷ<D4BF><C9B7><EFBFBD><EFBFBD><EFBFBD>(x1,d1),(x2,d2),....,(xn,dn)<29><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϊ1<CEAA><31>-1<><31>d=1<><31>-1<><31><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ı<EFBFBD>ʶ<EFBFBD><CAB6><EFBFBD><EFBFBD><EFBFBD>ռ<EFBFBD>Ϊ<EFBFBD><CEAA>ά<EFBFBD>ռ<EFBFBD>ʱ<EFBFBD><CAB1>ֱ<EFBFBD>߿ɻ<DFBF><C9BB><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>飬<EFBFBD>䷽<EFBFBD><E4B7BD>Ϊx1+x2 = 1<><31><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʾ<EFBFBD><CABE>Ϊ[1,1]^{T}[x1,x2]-1 = 0<><30><EFBFBD>ռ<EFBFBD>Ϊ<EFBFBD><CEAA>ά<EFBFBD>ռ<EFBFBD>ʱ<EFBFBD><CAB1>ƽ<EFBFBD><C6BD><EFBFBD>ɻ<EFBFBD><C9BB><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>飬<EFBFBD>䷽<EFBFBD><E4B7BD>Ϊx1+x2+x3 = 1<><31><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʾ<EFBFBD><CABE>Ϊ[1,1,1]^{T} [x1,x2,x3]-1 = 0<>ɴ<EFBFBD><C9B4>ƹ㵽<C6B9><E3B5BD>ά<EFBFBD>ռ<EFBFBD><D5BC>ɵó<C9B5>ƽ<EFBFBD>淽<EFBFBD><E6B7BD>ΪW^{T} X+b = 0<><30>XΪ<58><CEAA><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>WΪ<57><CEAA><EFBFBD><EFBFBD>Ȩֵ<C8A8><D6B5>bΪƫ<CEAA>ã<EFBFBD><C3A3><EFBFBD><EFBFBD><EFBFBD>W^{T} X+b > 0<><30>d = 1<><31>W^{T} X+b < 0<><30>d = -1<><31>ƽ<EFBFBD><C6BD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>֮<EFBFBD><D6AE><EFBFBD>ļ<EFBFBD><C4BC><EFBFBD><EFBFBD><EFBFBD>Ϊ<EFBFBD><CEAA><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ե<EFBFBD><D4B5><EFBFBD>æѱ<C3A6>ʾ<EFBFBD><CABE>SVM<56><4D>Ŀ<EFBFBD><C4BF><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ҵ<EFBFBD>ʹ<EFBFBD><CAB9><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʱ<EFBFBD><CAB1>W<EFBFBD><57>b<EFBFBD><62><EFBFBD><EFBFBD><EFBFBD>޷<EFBFBD>ֱ<EFBFBD><D6B1><EFBFBD><EFBFBD><EFBFBD><EFBFBD>W<EFBFBD><57>b<EFBFBD><62><EFBFBD><EFBFBD>ͨ<EFBFBD><CDA8>Ԥ<EFBFBD>⺯<EFBFBD><E2BAAF>y = f(x) = sgn(W^{T} X+b)<29>Ը<EFBFBD><D4B8><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ķ<EFBFBD><C4B7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>С<EFBFBD>ɼ<EFBFBD><C9BC><EFBFBD><EFBFBD><EFBFBD>ѧ<EFBFBD><D1A7>֪<EFBFBD>ռ<EFBFBD><D5BC><EFBFBD>һ<EFBFBD>㵽<EFBFBD><E3B5BD><EFBFBD>ų<EFBFBD>ƽ<EFBFBD><C6BD><EFBFBD>ľ<EFBFBD><C4BE><EFBFBD>Ϊ
    r = (W^{T} X+b)/ ||W0||<7C><>g(x) = r ||W0|| = W^{T} X+b <20><> r = g(x)/ ||W0|| = 1/ ||W0|| <20><>
d = 1<><31>r = g(x)/ ||W0|| = -1/ ||W0|| <20><>d = -1<><31><EFBFBD>Է<EFBFBD><D4B7><EFBFBD><EFBFBD><EFBFBD>Ե<EFBFBD><D4B5> = 2r = 2/ ||W0||<7C><><EFBFBD>Կɷ<D4BF><C9B7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ų<EFBFBD>ƽ<EFBFBD>棺<EFBFBD><E6A3BA><EFBFBD>ų<EFBFBD>ƽ<EFBFBD><C6BD><EFBFBD><EFBFBD>Ȩ<EFBFBD><C8A8><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ѵ<EFBFBD><D1B5><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ϣ<EFBFBD><CFA3><EFBFBD>ֻ<EFBFBD><D6BB>֧<EFBFBD><D6A7><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ӱ<EFBFBD><D3B0><EFBFBD><EFBFBD><EFBFBD>ջ<EFBFBD><D5BB>ֽ<EFBFBD><D6BD><EFBFBD>W = <20><>01d1X1 + <20><>02d2X2 + ... + <20><>0ndnXnb = 1-W^{T} X<><58><EFBFBD><EFBFBD><EFBFBD>Կɷ<D4BF><C9B7><EFBFBD><EFBFBD>ݣ<EFBFBD>SVM<56><4D><EFBFBD>ڷ<EFBFBD><DAB7><EFBFBD><EFBFBD>Կɷֵ<C9B7><D6B5><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ǽ<EFBFBD><C7BD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ӳ<EFBFBD>䵽һ<E4B5BD><D2BB><EFBFBD><EFBFBD>ά<EFBFBD><CEAC><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ռ䣬<D5BC><E4A3AC><EFBFBD><EFBFBD>ѡ<EFBFBD>õ<EFBFBD>ӳ<EFBFBD>亯<EFBFBD><E4BAAF><EFBFBD>ʵ<EFBFBD><CAB5><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ռ<EFBFBD><D5BC><EFBFBD>ά<EFBFBD><CEAC><EFBFBD>㹻<EFBFBD>ߣ<EFBFBD><DFA3><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Կɷ<D4BF>ģʽ<C4A3><CABD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ռ<EFBFBD><D5BC>п<EFBFBD>ת<EFBFBD><D7AA>Ϊ<EFBFBD><CEAA><EFBFBD>Կɷ<D4BF>ģʽ<C4A3><CABD><EFBFBD>ù<EFBFBD><C3B9><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ڻ<EFBFBD><DABB><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϊ<EFBFBD><CEAA><EFBFBD>ֳ<EFBFBD><D6B3>õĺ˺<C4BA><CBBA><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ժ˺<D4BA><CBBA><EFBFBD><EFBFBD><EFBFBD>
    K(X,Xp) = X' Xp<58><70><EFBFBD><EFBFBD>ʽ<EFBFBD>˺<EFBFBD><CBBA><EFBFBD><EFBFBD><EFBFBD>K(X,Xp) = [(X Xp)+1]^qGauss<73>˺<EFBFBD><CBBA><EFBFBD><EFBFBD><EFBFBD>K(X,Xp) = exp(- |X - X^p|^2/2<><32>^2)Sigmoid<69>˺<EFBFBD><CBBA><EFBFBD><EFBFBD><EFBFBD>K(X,Xp) = tanh(k(X<><58>X^p))+c  tanh(x)=(e^x - e^(-x))/(e^x + e^(-x))֧<><D6A7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ѧϰ<D1A7>㷨<EFBFBD><E3B7A8>(1)׼<><D7BC>һ<EFBFBD><D2BB>ѵ<EFBFBD><D1B5><EFBFBD><EFBFBD><EFBFBD><EFBFBD>(x1,d1),(x2,d2),....,(xn,dn)(2)<29><>Լ<EFBFBD><D4BC><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>1d1+<2B><>2d2+ ... +<2B><>ndn = 0<><30>0<=<3D><><=C<><43>ʹĿ<CAB9>꺯<EFBFBD><EABAAF>Q(<28><>)<29><><EFBFBD>󻯵Ħ<F3BBAFB5>op(3)<29><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ȨֵW(4)<29><><EFBFBD>ڴ<EFBFBD><DAB4><EFBFBD><EFBFBD><EFBFBD>ģʽX<CABD><58><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>б<EFBFBD><D0B1><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>X<EFBFBD>Ĺ<EFBFBD><C4B9><EFBFBD>

SVM<EFBFBD><EFBFBD><EFBFBD>ʣ<EFBFBD>
    <20>Ƚ<EFBFBD><C8BD><EFBFBD><EFBFBD><EFBFBD>ϡ<EFBFBD><CFA1><EFBFBD>ԣ<EFBFBD>SVM<56><4D><EFBFBD>Ż<EFBFBD><C5BB><EFBFBD><EFBFBD><EFBFBD>ͬʱ<CDAC><CAB1><EFBFBD><EFBFBD><EFBFBD>˾<EFBFBD><CBBE><EFBFBD><EFBFBD><EFBFBD><EFBFBD>պͽṹ<CDBD><E1B9B9><EFBFBD><EFBFBD><EFBFBD><EFBFBD>С<EFBFBD><D0A1><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>˾<EFBFBD><CBBE><EFBFBD><EFBFBD>ȶ<EFBFBD><C8B6>ԡ<EFBFBD><D4A1>Ӽ<EFBFBD><D3BC>ι۵㣬SVM<56><4D><EFBFBD>ȶ<EFBFBD><C8B6><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>乹<EFBFBD><E4B9B9><EFBFBD><EFBFBD>ƽ<EFBFBD><C6BD><EFBFBD><EFBFBD><EFBFBD>߽߱<DFB1>ʱҪ<CAB1><D2AA><EFBFBD>߾<EFBFBD><DFBE><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>˼<EFBFBD><CBBC><EFBFBD><EFBFBD>߽<EFBFBD>֮<EFBFBD><D6AE><EFBFBD>г<EFBFBD>ԣ<EFBFBD>Ŀռ<C4BF><D5BC><EFBFBD><EFBFBD>ݲ<EFBFBD><DDB2><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> <20><>SVMʹ<4D>ý<EFBFBD><C3BD><EFBFBD><EFBFBD><EFBFBD>ʧ<EFBFBD><CAA7><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϊ<EFBFBD><CEAA><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʧ<EFBFBD><CAA7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʧ<EFBFBD><CAA7><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ȡֵ<C8A1>ص<EFBFBD>ʹSVM<56><4D><EFBFBD><EFBFBD>ϡ<EFBFBD><CFA1><EFBFBD>ԣ<EFBFBD><D4A3><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>߽߱<DFB1><DFBD><EFBFBD><EFBFBD><EFBFBD>֧<EFBFBD><D6A7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>㲻<EFBFBD><E3B2BB><EFBFBD>뾭<EFBFBD><EBBEAD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>С<EFBFBD><D0A1><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʹ<EFBFBD>ú˷<C3BA><CBB7><EFBFBD><EFBFBD>ķ<EFBFBD><C4B7><EFBFBD><EFBFBD><EFBFBD>ѧϰ<D1A7>У<EFBFBD>SVM<56><4D><EFBFBD>Ƚ<EFBFBD><C8BD>Ժ<EFBFBD>ϡ<EFBFBD><CFA1><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ȷ<EFBFBD><C8B7><EFBFBD>˿ɿ<CBBF><C9BF><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ͬʱ<CDAC><CAB1><EFBFBD><EFBFBD><EFBFBD>˺˾<CBBA><CBBE><EFBFBD><EFBFBD>ļ<EFBFBD><C4BC><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ڴ濪<DAB4><E6BFAA><EFBFBD><EFBFBD>
    <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Է<EFBFBD><D4B7><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ĺ<EFBFBD>ϵ<EFBFBD><CFB5>SVM<56><4D>һ<EFBFBD><D2BB><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Է<EFBFBD><D4B7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ͨ<EFBFBD><CDA8><EFBFBD><EFBFBD>SVM<56><4D><EFBFBD>㷨<EFBFBD><E3B7A8><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>޸<EFBFBD><DEB8><EFBFBD>ʧ<EFBFBD><CAA7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ż<EFBFBD><C5BB><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Եõ<D4B5><C3B5><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>͵<EFBFBD><CDB5><EFBFBD><EFBFBD>Է<EFBFBD><D4B7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>罫SVM<56><4D><EFBFBD><EFBFBD>ʧ<EFBFBD><CAA7><EFBFBD><EFBFBD><EFBFBD>滻Ϊlogistic<69><63>ʧ<EFBFBD><CAA7><EFBFBD><EFBFBD><EFBFBD>͵õ<CDB5><C3B5>˽ӽ<CBBD><D3BD><EFBFBD>logistic<69>ع<EFBFBD><D8B9><EFBFBD><EFBFBD>Ż<EFBFBD><C5BB><EFBFBD><EFBFBD>⡣SVM<56><4D>logistic<69>ع<EFBFBD><D8B9>ǹ<EFBFBD><C7B9><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ķ<EFBFBD><C4B7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ߵ<EFBFBD><DFB5><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>logistic<69>ع<EFBFBD><D8B9><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>и<EFBFBD><D0B8><EFBFBD><EFBFBD><EFBFBD><EFBFBD>壬Ҳ<E5A3AC><D2B2><EFBFBD><EFBFBD><EFBFBD><EFBFBD>չ<EFBFBD><D5B9><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>⣬<EFBFBD><E2A3AC>SVM<56><4D>ϡ<EFBFBD><CFA1><EFBFBD>Ժ<EFBFBD><D4BA>ȶ<EFBFBD><C8B6><EFBFBD>ʹ<EFBFBD><CAB9><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>õķ<C3B5><C4B7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʹ<EFBFBD>ú˷<C3BA><CBB7><EFBFBD>ʱ<EFBFBD><CAB1><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>С<EFBFBD><D0A1>
    <20><>Ϊ<EFBFBD>˷<EFBFBD><CBB7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʣ<EFBFBD>SVM<56><4D><EFBFBD><EFBFBD>Ψһ<CEA8><D2BB><EFBFBD><EFBFBD>ʹ<EFBFBD>ú˼<C3BA><CBBC>ɵĻ<C9B5><C4BB><EFBFBD>ѧϰ<D1A7>㷨<EFBFBD><E3B7A8>logistic<69>ع顢<D8B9><E9A1A2><EFBFBD>ع<EFBFBD><D8B9><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>б<EFBFBD><D0B1><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Linear DiscriminantAnalysis, LDA<44><41>Ҳ<EFBFBD><D2B2>ͨ<EFBFBD><CDA8><EFBFBD>˷<EFBFBD><CBB7><EFBFBD><EFBFBD>õ<EFBFBD><C3B5><EFBFBD>logistic<69>ع飨kernel logistic regression<6F><6E><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ع飨kernel ridge regression<6F><6E><EFBFBD>ͺ<EFBFBD><CDBA><EFBFBD><EFBFBD><EFBFBD><EFBFBD>б<EFBFBD><D0B1><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Kernelized LDA, KLDA<44><41><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>SVM<56>ǹ<EFBFBD><C7B9><EFBFBD><EFBFBD>Ϻ<EFBFBD>ѧϰ<D1A7><CFB0>ʵ<EFBFBD><CAB5>֮һ<D6AE><D2BB>

SVMӦ<EFBFBD>ã<EFBFBD>
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    <20><><EFBFBD><EFBFBD>Python<6F><6E><EFBFBD><EFBFBD><EFBFBD>Ļ<EFBFBD><C4BB><EFBFBD>ѧϰģ<CFB0><C4A3>scikit-learn<72>ṩԤ<E1B9A9><D4A4>װ<EFBFBD><D7B0>SVM<56><4D><EFBFBD>ߣ<EFBFBD><DFA3><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ʋο<C6B2><CEBF><EFBFBD>LIBSVM<56><4D><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>SVM<56><4D>Pythonģ<6E><C4A3><EFBFBD><EFBFBD>MDP<44><50>MLPy<50><79>PyMVPA<50>ȡ<EFBFBD>TensorFlow<6F>ĸ߽<C4B8>API<50><49><EFBFBD><EFBFBD>Estimators<72><73><EFBFBD>ṩSVM<56>ķ<EFBFBD>װģ<D7B0>͡<EFBFBD>

SVMʵ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
# Example<6C><65>
from sklearn import datasets
import numpy
from numpy import *
from sklearn import svm 
print ('''<27><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ݼ<EFBFBD>''')
digits = datasets.load_digits() 
# <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD>digits<74><73><EFBFBD>ݼ<EFBFBD><DDBC>У<EFBFBD>digits.data<74>ǿ<EFBFBD><C7BF><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
print(digits.data,"type(digits.data)=%s"%type(digits.data))
print("shape(digits.data)=%s,%s"%shape(digits.data)) 
print (digits.target)
print ('''ѵ<><D1B5><EFBFBD><EFBFBD>Ԥ<EFBFBD><D4A4>''') 
#ѡ<><D1A1><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
clf = svm.SVC(gamma=0.0001,C=100) 
# <20><><EFBFBD><EFBFBD>ѵ<EFBFBD><D1B5>
clf.fit(digits.data[:-1],digits.target[:-1]) 
# <20><><EFBFBD><EFBFBD>Ԥ<EFBFBD><D4A4>
print (clf.predict(digits.data[:-1]))