Single Layer Perceptron

Question 1

What is a discriminant function?

Answer 1

discriminant function for classes C1 and C2 is any function y(x) such that an input vector x is assigned to
class C1 if y(x) > 0 (and to C2 if y(x) < 0)

Question 2

What is a linear discriminant function?

Answer 2

Linear discriminant function defines a point (in R1), a line (in R2), a plane (in R3), a
hyperplane (in Rn), that splits the space into “positive” and “negative” half-spaces.

It is a function of the form is a function y(x) in the form: y(x) = w0 + w1x1+…+ wnxn = w0 + wTx