NEURAL NETWORK Computer Science Homework Help
NEURAL NETWORK ASSIGNMENT
- Assume you want to classify the following four points (x1; x2) €IR2:
X1
0
0
1
1
X2
0
1
0
1
Class
C0
C0
C0
C1
- Explain the simplest neural network that can classify the above points?
- Consider the following points
Note:Fully specify all necessary parameters of a neural network that canclassify the points in Part (a) and draw the decision boundary.(6marks)
X1
0
0
1
1
X2
0
1
0
1
Class
C0
C1
C1
C0
Explain whether the network you provided in part (a) correctly classify these points. (4marks)
2. Back-propagation algorithm:
Consider the following neural network:
With configuration:-
1
1
1
1
1
-1
0.5
-0.5
-0.5
Performone iteration of the back propagation algorithm, assuming that thehidden layer and the output layer use the Log-Sigmoid activationfunction.
yk = —————————————————(1)
for inputs (x1; x2) = (0,1) and output y = 1. (6marks)
3.Prove that if the activation function of a 2 layered neural network isthe identity function, the neural network is equivalent to a simpleperceptron with a linear activation function.(4marks)
3 days ago
-15-
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