反馈型神经网络

1、1n2I1I2InY1Y2YnX1X2Xnw11w12w1nw21w22w2nwn1wn2wnnnijjiijjjIYwfxfY1)()(0)(10)(1)(sgn() 1(tHtHtHtXiiiiijnjjiitXwtH)()(1ijtXtXitHtXjjii)()1()(sgn()1(itXwtXijnjjii)(sgn() 1(10)()(00tttXtttXijiiijiijXIXXwE21 ijiiijiijXIXXwE21 ijiiijIw211)(, 1) 1(21)(, 1) 1(2)() 1(0)() 1(tXtXtXtXtXtXtXtXXiiiiiiiiinjiiiijji

2、XtHXItXwE1)()(njnjiiijjiijijXIXtXwXtXwE11)(21)(21)() 1(),(sgn() 1(tXtXXtHtXiiiiinijnijijjiijijXtXwXtXwE)(21)(21iiiiiiXItXtXw)() 1(22) 1()(1tXXwXItXwiiiiiijnjji) 1()(tXXwXtHiiiiiiijiiiijiijtXtXItXtXwE)1()(21)() 1(21)() 1(21)() 1(21tXtXItWXtXETTnnnnRIRWRX;)() 1(21)() 1(21tXtXItWXtXETT)1()(21) 1()(21tX

3、tXItWXtXTT)1() 1(21)1() 1()(21tXtXItXtXWtXTT)1() 1()(21tXtXIWtXTT)1() 1()(21tXtXtHT0)1() 1()(tXtXtHTi)()(sgn()1()()1(tXtWXtXtXtX) 1()() 1()()(sgn() 1(tXtXtXtXtWXtXjiwjiXXwiiKjKiij0N1KNUXXXXXXWNTTTN2121.NnNNnnNnKnnnNKNKXXXXXXXXXXXXXXXXXXXXX212222111211212222121121111011101NNKNKNKKnKKNXXX11122221)()()

4、(1011101)()()(12111212211211121121NXXXXXXXXXXXXXNKKnNKKKnNKKnKNKKNKKKNKKnKNKKKNKK0001111211121NKKKnNKKKNKKnKNKKKXXXXXXXXWKKNTKTTTNKKNUXXXXXXXXXXWX2121KKKTNKNUXXXXXXX00021KKKXNnNXnX)( KKNTKTTTNKKNXXXXXXXXXXWX2121niKiiKjXwX1sgn niNKkkniKikjkiKiKjXXXXX1, 112)(sgn NKkkniKikjkijKjjXXXnnXs, 11;niKiNjNinin

5、iKijiKijiXXXXXXXXX1112211sgn)sgn(jjns nN) 1( nNn) 1(ijnjjiitXWtH)()(1KjKiijXXwNKTKKIXXW1)(KjKiijijXXwwNKTKKTXIXXXIXXWX211111)()(111)() 1() 1(XNnXNXnnjijjiiivwfufv1)()()1 (1)(xexf)()(xthxff( )v1R1iRniR2iIiRiCiv2vnvi-vi-+R1C1-+R2C2-+R3C3-+RnCnv1.I1I2I3InT1nT13T12v2v3vnT11Tn1)(1iinjiiijijiiufvIRuvTdtdu

6、CninjniniviiijiijidvvfRIvvvTE111101)(121jjjtvvEdtdEiijjjjijiijjijIRuvTvTTvE)()(21dtdvfCdtduCvEjjjjj)(1jjjdtdvfCdtdE21)()(0dtdE0dtdvj0dtdEijjijivwujijiijiiiuvRTdtduCRjijijiiuvwdtdujiiiijijvuIvTE)(jiiijijuIvT0ijiiiiiijiijvuIvvvTE21jiiijijuIvT0iiivuijiiijiijIvvvTE21ijjiijvvTE2111, 11,niniidddD)(min1dkd

7、DDDCBDEBAECAdddddD xiijxjxivvAE21 1 , 0 xiV ixxyyixivvBE22xixinvCE23)(2xxyiiyiyxixyvvvdDE)(21,1,44321EEEEE)()1 ()1 (1,1,i ji jxyyxjijiyxyjxiDdCBAT其它01,jiji)tanh(1 (21)(0uuufvxixixiijxyxixiyixixixixixinvCvBvARudtduC)(xyiyiyxyvvdD)(1,1,0001xixixiuuv nxnininxxixivBvA111122)1(2)1(2nxnininxnxnxyniiyxixyx

8、ixivvdDvBvE1111111,222) 1(2) 1(2A ),.,2 , 1,( ,nixvEdtduxixinjnynyiyxyyixjxivdDvAvAdtdu1111,) 1() 1(1,ijxyjiyxyjxiDdAAT)(tanh1 (21)(0ututvxixi nynjxiyiyjxixiIvTtu11,)(tututuxixixi)() 1(S1S2S4S3SxD1D4D5D2D3Dy消耗Cxy流量fxyKkMiiMkkvM11),1(1)1(1)1(21)1(11)1(1kMvMKkMiiMkk mxyxynyxxynyDfmxSf11), 2 , 1(), 2 ,

9、 1(mxnyxyxyfC11)1(11)1( ,1KkMiiMkxykxyvMfmxnyKkMiiMkxykvMAI11112) 1( ,121 ) 1(2mxnyKkMiiMkxykxvMSB11112)1( ,1) 1(2nymxKkMiiMkxykyvMDC11112)1( ,1) 1(2mxnyKkMiiMkxykxyvMCD11112) 1( ,1) 1(2mxnyKkMiiMkyxiMkxyTE1111)1( , ,)1( ,21mxnyKkMiiMkxyiMkyxiMkxyvvv1111) 1( ,) 1( , ) 1( ,iMkxyI)1( ,1) 1( , ,) 1( ,)

10、 1(4iikkyyxxkiMkyxiMkxyMAT22) 1() 1(yykkxxkkMCMB2) 1(yxxykkCCMDykxkkiMkxyDMCSMBMAI111) 1( ,) 1() 1() 1(201zzzzzzjiijijitvwtu)()()/)(exp(1/(1TtuPii)/ )(TtufPii)exp(1/(1)2/tanh(1 (21)(xxxff(x/T)T =1.0 x-551T =4.0/ TiijiiijiijtvtvtvwtE)()()(21)()()(1 ()() 1(tutvtEtEiiijijijivwtu)()/ )(TtufPii)exp(1/(1)

11、(xxf)() 1(tvtvjjij )/exp()/1 ()(TEZEQnnnnTEZ)/exp()1log(/)(tCtT可视节点集隐节点集输出节点集输入节点集隐节点集)/ ),(exp()/1 (),(THVEZHVQbaWbaWbabaWTHVEZ,)/),(exp(bbaWaWHVQVQ),()(aaWaaVQVPVPWG)(/)(log()()()/()()(WGWGWGWW)/(WGW)()(WGWGW)(1()()()(ijijijPPTwGabbaWbbaWjiaijTHVETHVEVVVPP)/ ),(exp()/ ),(exp()()(babaWjiijTHVEVVZP,)()/ ),(exp()/1 ()(/()()(ijijwPPTij)(/()()(ijijwPPTijVIVoWOI隐节点可视节点1221) 1()() 1()(WWtYfftYWWtXfftXyxxy)sgn()()(xxfxfyx1n212mw11x1x2xny1y2ymw21wn1wnmW1w11w21wm1wmn12m层A层BW21n212mx1x2xny1y2y