Sigmoid Function

Sigmoid Function

1. Introduction

To limit all data within the range of 0 to 1.

2. Formula

$$y = \frac{1}{1+e^{-x}}$$

3. Implementation

3.1 Octave

 x = linspace(-10, 10 ,10000);
 y = zeros( size(x, 1), size(x, 2));

 for i = 1:length(x)
   y(i) = 1/(1+e^(-x(i)));
 endfor

 figure();
 plot( x,y);
 grid on;
 xlabel("x");
 ylabel("y=1/(1+e^-x)");
 title("Sigmoid Function");

Output figure

Sigmoid Function