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Problem 1 Bookmark this page Problem 1. Linear Classification Consider a labeled training set shown in figure below: label =

1.(4) 1 point possible (graded, results hidden) What is the value of the margin attained? (Enter an exact answer or decimal a

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Answer #1

Margin attained is the minimum distance between the hyperplane and the points.

label = -1 label - +1 MARGIN

The line shown in between is the hyperplane which divides both the classes and margin is the smallest distance between any point on either side of the hyperplane/line and the hyperplane. Hyperplane/line should be equidistant from the nearest points on both sides.

Margin = CD(see the figure)

We know ABP = AC + BC

ABP = 1+1=2

AB = V2

AD = V2/2 = 1/2

As,

AC2 = ADP + CD

1= 1/2 + CD

1-1/2 = CD

CD=1/12

Margin = CD = 0.70710678118

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