Perceptron

file=./bookps/ann-perceptron.epsf,width=6in

$$o(x_{1}, \ldots, x_{n}) = \left\{ \begin{array}{rl} 1 & \mbo... ...+ w_n x_n > 0$}\\ -1 & \mbox{otherwise.} \end{array}\right.$$

Sometimes we'll use simpler vector notation:

$$o(\vec{x}) = \left\{ \begin{array}{rl} 1 & \mbox{if $\vec{w}... ...t \vec{x} > 0$}\\ -1 & \mbox{otherwise.} \end{array}\right.$$