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Perceptron


\psfig{figure=figures/ann-perceptron.ps}


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




Sometimes we'll use simpler vector notation:


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