5
Linear Discriminant
Q: when is this a good decision function?
clearly works if data is linearly separable
• there is a plane which has
• all 1’s on one side
• all 1’s on the other
271A: it was also showed that it is optimal for
• two Gaussian classes
• equal class probability and covariance
but, clearly, will not work even for only slightly
more general Gaussian cases
Q: what are possible solutions to this problem?
