Neural Networks

 Revision as of 00:37, 27 February 2011 (view source)Ang (Talk | contribs)← Older edit Revision as of 06:07, 27 February 2011 (view source)Ang (Talk | contribs) Newer edit → Line 11: Line 11: This "neuron" is a computational unit that takes as input $x_1, x_2, x_3$ (and a +1 intercept term), and This "neuron" is a computational unit that takes as input $x_1, x_2, x_3$ (and a +1 intercept term), and - outputs $h_{W,b}(x) = f(W^Tx) = f(\sum_{i=1}^3 W_{i}x_i +b)$, where $f : \Re \mapsto \Re$ is + outputs $\textstyle h_{W,b}(x) = f(W^Tx) = f(\sum_{i=1}^3 W_{i}x_i +b)$, where $f : \Re \mapsto \Re$ is called the '''activation function'''.  In these notes, we will choose called the '''activation function'''.  In these notes, we will choose $f(\cdot)$ to be the sigmoid function: $f(\cdot)$ to be the sigmoid function: