University AI - Discriminant Functions

Discriminant Functions

Let $\underline{x}$ be the vector of features. Let ${\omega }_i$ be the class to which $\underline{x}$ belongs. We need a function $g$ such that

$$g({\omega }_i,\underline{x})>g({\omega }_j,\underline{x})\forall j\ne i$$

So that we can recognize to which class $\underline{x}$ belongs.

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