Created
October 11, 2013 05:22
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Improving the convergence of the Back-Propagation Algorithm
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clc; | |
clear; | |
nure = 2; | |
w1 = 2*rand(nure,1)-1; | |
w2 = 2*rand(1,nure)-1; | |
b1 = 2*rand(nure,1)-1; | |
b2 = 2*rand(1,1)-1; | |
w11 = w1; | |
w22 = w2; | |
b11 = b1; | |
b22 = b2; | |
lr = 0.01; | |
lr_1 = 0.1; | |
s = []; | |
s_1 = []; | |
time = 1000; | |
for k=1:time | |
sum_e = 0; | |
sum_s2 = 0; | |
sum_s1 = 0; | |
for p = -2:0.2:2 | |
t = sin(pi*p/2); | |
a1 = logsig(w1*p+b1); | |
a2 = w2*a1+b2; | |
e = t-a2; | |
s2 = -2*e; | |
s1 = diag((1-a1).*a1)*w2'*s2; | |
b1 = b1-lr*s1; | |
b2 = b2-lr*s2; | |
sum_s2 = sum_s2+s2*a1'; | |
sum_s1 = sum_s1+s1*p; | |
sum_e = sum_e + (t-a2)^2; | |
end | |
s = [s sum_e]; | |
w2 = w2-lr*sum_s2; | |
w1 = w1-lr*sum_s1; | |
end | |
for k=1:time | |
sum_e = 0; | |
sum_s2 = 0; | |
sum_s1 = 0; | |
for p = -2:0.2:2 | |
t = sin(pi*p/2); | |
a1 = logsig(w11*p+b11); | |
a2 = w22*a1+b22; | |
e = a2-t; | |
s2 = e; | |
s1 = diag((1-a1).*a1)*w22'*s2; | |
b11 = b11-lr_1*s1; | |
b22 = b22-lr_1*s2; | |
sum_s2 = sum_s2+s2*a1'; | |
sum_s1 = sum_s1+s1*p; | |
sum_e = sum_e + (t-a2)^2; | |
end | |
s_1 = [s_1 sum_e]; | |
w22 = w22-lr_1*sum_s2; | |
w11 = w11-lr_1*sum_s1; | |
end | |
figure(1); | |
for q3 = -2:0.01:2; | |
t = sin(pi*q3/2); | |
plot(q3,t,'k'); | |
hold on; | |
a1 = logsig(w1*q3+b1); | |
a2 = w2*a1+b2; | |
plot(q3,a2,'b'); | |
hold on; | |
a3 = logsig(w11*q3+b11); | |
a4 = w22*a3+b22; | |
plot(q3,a4,'r'); | |
end | |
figure(2); | |
plot(1:length(s),s,'b'); | |
hold on; | |
plot(1:length(s_1),s_1,'r'); | |
hold on; |
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