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Consider the two class classification task that consists of the following points:

Class $C_1$: [-1, -1], [-1, 1], [1, -1]

Class $C_2$: [1,1]

The decision boundary between the two classes $C_1$ and $C_2$ using single perception is given by:

1. $x_1-x_2-0.5=0$
2. $-x_1-x_2-0.5=0$
3. $0.5(x_1+x_2)-1.5=0$
4. $x_1+x_2-0.5=0$
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It assumes a sign function, i.e try replacing x and y, the equation which classifies the dataset properly is the right answer.

e.g for case four.

-1 -1  -.5 = -2.5 since it turned out negative call it Class C1

-1+1 -.5=-.5 class C1

1-1-.5=-.5 class C1

and finally

1+1-.5-=1.5 since this is positive call it C2

Note: option D  is the only equation that classifies them properly hence the answer.

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From which subject this question is
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Artificial neural networks

+1 vote

ans is D

by Boss (49.3k points)
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Please provide the reference material for such type of problems thanks
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Thnks
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Sir please explain how u draw this graph !

How to check for given points and how to draw decision boundary b/w two classes.