# Deep Learning – IIT Ropar | Week 1

**Session: JULY – DEC 2024**

**Course name: Deep Learning – IIT Ropar**

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#### These are Deep Learning IIT Ropar Week 1 Assignment 1 Nptel Answers

**Q1. Consider the following table, where x1 and x2 are features and y is a label****Assume that the elements in w are initialized to zero and the perception learning algorithm is used to update the weights w .If the learning algorithm runs for long enough iterations, then**

The algorithm never converges

The algorithm converges (i.e., no further weight updates) after some iterations

The classification error remains greater than zero

The classification error becomes zero eventually

**Answer: The algorithm converges (i.e., no further weight updates) after some iterations**

**The classification error becomes zero eventually**

**Q2. In the perceptron model, the weight w vector is perpendicular to the linear decision boundary at all times.**

True

False

**Answer: True**

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**These are Deep Learning IIT Ropar Week 1 Assignment 1 Nptel Answers**

**Q3.What is the perceptron algorithm used for?**

Clustering data points

Classifying data

Solving optimization problems

Finding the shortest path in a graph

**Answer: Classifying data**

**Q4. Choose the correct input-output pair for the given MP Neuron. f(x)={1,0,if x1+x2+x3>2** **0,otherwise**

y=1 for (x1,x2,x3)=(0,1,1)

y=0 for (x1,x2,x3)=(0,0,1)

y=1 for (x1,x2,x3)=(0,0,0)

y=1 for (x1,x2,x3)=(1,1,1)

y=0 for (x1,x2,x3)=(1,0,1)

**Answer: b**)**y=0 for (x1,x2,x3)=(0,0,1) , d,)y=1 for (x1,x2,x3)=(1,1,1) ,e) y=0 for (x1,x2,x3)=(1,0,1)**

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**These are Deep Learning IIT Ropar Week 1 Assignment 1 Nptel Answers**

**Q5**.**Which of the following Boolean functions can be implemented using a perceptron?**

NOR

NAND

NOT

XOR

**Answer: NOR NAND NOT**

**Q6. Which of the following threshold values of MP neuron implements AND Boolean function? Assume that the number of inputs to the neuron is 7 and the neuron does not have any inhibitory inputs.**

1

3

6

7

8

**Answer: 7**

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**Q7.Suppose we have a boolean function that takes 4 inputs x1,x2,x3,x4? We have an MP neuron with parameter θ=3 . For how many inputs will this MP neuron give output y=1?**

5

4

1

16

**Answer: 5**

**Q8.Consider points shown in the picture. The vector w=[−1−1].As per this weight vector, the Perceptron algorithm will predict which classes for the data points x1 and x2.**

x1=−1

x1=1

x2=−1

x2=1

**Answer:a) ** **x1=−1, d) x2=1**

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**These are Deep Learning IIT Ropar Week 1 Assignment 1 Nptel Answers**

**Q9.Consider the following table, where x1 and x2 are features (packed into a single vector x=[x1x2]) and y is a label:**

**Suppose that the perceptron model is used to classify the data points. Suppose further that the weights w**

are initialized to w=[11] .The following rule is used for classification,

are initialized to w=[11] .The following rule is used for classification,

2

1

0

Not possible to determine

**Answer: 0**

**Q10.Which Boolean function with two inputs x1 and x2 is represented by the following decision boundary? (Points on boundary or right of the decision boundary to be classified 1)**

AND

OR

XOR

NAND

**Answer: OR**

**Q11.Choose the correct input-output pair for the given MP Neuron. y={1,ifx1+x2+x3≥2 0, otherwise**

y=1 for (x1,x2,x3)=(0,1,1)

y=0 for (x1,x2,x3)=(0,0,1)

y=1 for (x1,x2,x3)=(1,1,1)

y=0 for (x1,x2,x3)=(1,0,0)

**Answer: a),b),c)**

**Q12.Suppose we have a boolean function that takes 4 inputs x1, x2, x3, x4? We have an MP neuron with parameter θ=2 .For how many inputs will this MP neuron give output y=1?**

11

21

15

8

**Answer: 8**

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**These are Deep Learning IIT Ropar Week 1 Assignment 1 Nptel Answers**

**Q13.We are given the following data:Can you classify every label correctly by training a perceptron algorithm? (assume bias to be 0 while training)**

Yes

No

**Answer: No**

**Q14.We are given the following dataset with features as (x1,x2) and y as the label (-1,1). If we apply the perception algorithm on the following dataset with w initialized as (0,0). What will be the value of w when the algorithm converges? (Start the algorithm from (2,2)**(-2,2)

(2,1)

(2,-1)

None of These

**Answer: (2,-1)**

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**Q15.Consider points shown in the picture. The vector w is (-1,0). As per this weight vector, the Perceptron algorithm will predict which classes for the data points x1 and x2.**

x1=1

x2=1

x1=-1

x2=-1

**Answer: x2=1 ,x1=-1**

**Q16.Given an MP neuron with the inputs as x1,x2,x3,x4,x5 and threshold θ=3 where x5 is inhibitory input. For input (1,1,1,0,1) what will be the value of y?**

y=0

y=1 since θ≥3

y=1/2

Insufficient information

**Answer: y=0**

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**These are Deep Learning IIT Ropar Week 1 Assignment 1 Nptel Answers**

**Q17.An MP neuron takes two inputs x1 and x2. Its threshold is θ=0 .Select all the boolean functions this MP neuron may represent.**

AND

NOT

OR

NOR

**Answer: NOR**

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**These are Deep Learning IIT Ropar Week 1 Assignment 1 Nptel Answers**

**Q18. What is the output of a perceptron with weight vector w=[2−31] and bias b=−2when the input is x=[10−1]**

**?**

0

1

-1

2

**Answer: -1**

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**These are Deep Learning IIT Ropar Week 1 Assignment 1 Nptel Answers**

**Q19 .What is the ”winter of AI” referring to in the history of artificial intelligence?**

The period during winter when AI technologies are least effective due to cold temperatures

A phase marked by decreased funding and interest in AI research.

The season when AI algorithms perform at their peak efficiency.

A period characterized by rapid advancements and breakthroughs in AI technologies.

**Answer: A phase marked by decreased funding and interest in AI research.**

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**These are Deep Learning IIT Ropar Week 1 Assignment 1 Nptel Answers**

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