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Linear Classification

Consider a labeled training set shown in figure below:

Label   -1  -1  -1  -1  -1  +1  +1  +1  +1  +1

Coordinates (0,0)   (2,0)   (3,0)   (0,2)   (2,2)   (5,1)   (5,2)   (2,4)   (4,4)   (5,5)

Perceptron mistakes 1   9   10  5   9   11  0   3   1   1

Suppose that we now find the linear separator that maximizes the margin instead of running the perceptron algorithm.

What are the parameters 𝜃0 and 𝜃 corresponding to the maximum margin separator?

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  • $\begingroup$ Is it homework? You can solve this using linear regression, I guress: $\hat{y}=(X'X)^{-1} X'y$, or you use logistic regression $\endgroup$
    – Peter
    Apr 12, 2020 at 15:19

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