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Roll Number: 0
Thapar Institute of Engineering and Technology, Patiala
Department of Electrical and Instrumentation Engineering
B.E., MST Course Code: UEI704
Course Name: Soft Computing Techniques
September 28th 2022 Wednesday, 05.30 PM
Time: 2 Hours, M. Marks: 50 Name of Faculty: Dr. Saurabh Bhardwaj
Note: Assume missing data, if any, suitably‘
Q.1 i. Briefly explain about the architecture and training algorithm of back-propagation
network. +
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ii. What do you understand with the term Soft computing. Write down three differences .
between Hard and soft computing.
10
Q.2 i. The following diagram represents a feed-forward neural network with one hidden 5
layer: +
5
0 0 =
$ 2
10
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0
The following table lists all the weights in the network:
wt.; = —2 w35 = 1
wr = 3 w45 = —1
wi I = 4 w36 = —1
W2 1 = -1 W46 = 1
Each of the nodes 3, 4, 5 and 6 uses t he following activation function:
00 21 1 if v ?.... 0
0 otherwise
where v denotes the weighted sum of a node. Each of the input nodes (1 :and 2) can only
receive binary values (either 0 or 1). Calculate the output of the network (v 5 and y 6)
.
for each of the input patterns:
Pattern: P1 P2 P3 P4
Node 1: 0 1 0 1
Node 2: 0 0 1 1
ii. Define sigmoid activation function and explain how this function exhibits a graceful
balance between
• linear and nonlinear behavior.
Q.3 i. What are the different types of learning rules in ANN? Discuss Hebbian learning with 7
proper mathematical formulation. +
3
ii. Why is it impossible for a single binary perceptron to solve the XOR problem?
=
10
Q.5 What is a perceptron? Write down the unified learning rule of single layer perceptron? 10
Prove that the rule will always convergip to weights that achieve the desired
classification.