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The exclusive - OR is the simplest problem that cannot be solved using a linear discriminant operating directly on the features. The points k =
The exclusiveOR is the simplest problem that cannot be solved using a linear
discriminant operating directly on the features. The points at
and are in category red in the figure while at
and are in black in the figure Following the approach of Support Vector
Machines, we preprocess the features to map them to a higher dimension space where
they can be linearly separated. While many functions could be used, here we use
the simplest expansion up to second order: and where
the is convenient for normalization.
Using the support vector machine formulation, show that the optimum discriminant is
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