BP网络权值调整公式

输入层（n个节点）隐含层（p个节点）输出层（q个节点）b1W1,1x1x2xn∑W2,1Wn,1niiibxWhi111,1f(.)1111hiehob2∑f(.)bp∑f(.)W1,2W2,2Wn,2Wn,phi2ho2hiphopθ1V1,1ho1ho2hop∑V2,1Vp,1piiihoVyi111,1f(.)1111yieyoθ2∑f(.)θq∑f(.)V1,2V2,2Vp,2Vp,qyi2yo2yiqyoqb1W1,1x1x2xn∑W2,1Wn,1f(.)b2∑f(.)bp∑f(.)W1,2W2,2Wn,2Wn,phi2ho2hiphophi1ho1θ1V1,1∑V2,1Vp,1f(.)θ2∑f(.)θq∑f(.)V1,2V2,2Vp,2Vp,qyi2yo2yiqyoqyo1yi1梯度下降法qiiiyode12)(21)(VeVn]...,,[)(,2,11,1qpVeVeVeveVn+1=Vn+ΔVnjijjjiVyiyieVe,,jinjinjiVeVV,,1,)1()()())(21(12jjjjjjjjjqiiijjyoyoyodyiyoyodyiyodyiejyijeyo11ijijhoVyi,pkjkjkjhoVyi1,)1()(,,,,1,jjjjinjijinjijinjinjiyoyoyodhoVhoVVeVV隐含层到输出层权值调整公式同理可以得到输出层阈值、输入层到隐含层权值已以及隐含层阈值的调整公式(i=1,2,…,p;j=1,2,…,q)jnjnj1jijjjiWhihieWe,,jjjkmqkpmkmkjjjqkkkjjjqkkkjhihohoohWfdhihohoyifdhihohoyodhie)))((21())(((21())(21(211,1212)1()()1())1()((1,1,jjqkkjkjjqkkjkkkkhohoVhohoVyoyoyodijijxWhi,输入层到隐含层权值的调整公式隐含层阈值的调整公式ijjqkkjknjinjixhohoVWW)1()(1,,1,)1()(1,1jjqkkjknjnjhohoVbb(i=1,2,…,n;j=1,2,…,p)