UGC NET CSE | December 2015 | Part 3 | Question: 64

Question

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:

• A. $x_1-x_2-0.5=0$
• B. $-x_1-x_2-0.5=0$
• C. $0.5(x_1+x_2)-1.5=0$
• D. $x_1+x_2-0.5=0$

Comments

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

Answer 1

ans is D

Comments

Please provide the reference material for such type of problems thanks

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http://www.di.unito.it/~cancelli/retineu06_07/Perceptron.pdf

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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.