using Neural Network without toolbox
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I have to write a code to model Neural Network. I write it with sigmoid function, back propogation, and gradient descent method.
My problem is that I can not insert input higher than 1.
This is my code:
X = (0:0.01:1.5);
X = X';
LX = length(X);
B_size = 1;
NO_B = (LX / B_size);
Y_d = X.^2;
Width = 20;
H = zeros (Width,1);
H_f = zeros (Width,1);
Y = zeros(LX,1);
Y_f = zeros(LX,1);
W1 = rand (Width,B_size);
W2 = rand (B_size,Width);
b1 = 1 ;
b2 = 1 ;
E_total = 1;
Eta = 0.1;
itt = 0;
epoch = 1500;
for e = 1 : epoch
for i = 1 : NO_B
itt = itt + 1;
XX = X( (B_size * (i-1)) +1 : (i*B_size) );
YY_d = Y_d( (B_size * (i-1)) +1 : (i*B_size) );
H = W1*XX + b1;
H_f = SIG(H);
Y = W2*H_f + b2;
Y_f = SIG(Y);
E_total = sum ( 0.5 * (( YY_d - Y_f ).^2)) ;
E(itt) = E_total;
ITT(itt) = itt;
delta = YY_d - Y_f ;
dY = Y_f.*(1-Y_f) ;
dH = H_f.*(1-H_f) ;
pd2 = (delta.*dY) * H_f' ;
pd1 = (XX *((delta.*dY)' * W2).* dH')' ;
W2 = W2 + Eta*pd2;
W1 = W1 + Eta*pd1;
YY_f ( (B_size * (i-1)) +1 : (i*B_size) )= Y_f;
end
end
plot(X,YY_f,'r*',X,Y_d,'b:','LineWidth',2);
function [alpha_f] = SIG(alpha)
%SIGMOID FUNCTION
alpha_f = 1 ./ (1 + ((exp(1)) .^ (-alpha)));
end
2 Commenti
Walter Roberson
il 2 Dic 2022
It is not clear to me which is the input that you cannot make larger than 1. Also you did not indicate what happens when you try to do that.
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