# Deep Learning IIT Ropar Week 2 Nptel Answers

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## Deep Learning IIT Ropar Week 2 Nptel Assignment Answers

**Session: JULY – DEC 2024**

**Q1. Which of the following statements is(are) true about the following function?σ(z)=1/ _{1+e−(z)}.**

The function is bounded between 0 and 1

The function attains its maximum when z→∞

The function is continuously differentiable

The function is monotonic

**Answer: Updating Soon (in progress)**

**Q2. How many weights does a neural network have if it consists of an input layer with 2 neurons, three hidden layers each with 4 neurons, and an output layer with 2 neurons? Assume there are no bias terms in the network.**

**Answer: 2.025**

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**These are Deep Learning IIT Ropar Week 2 Nptel Assignment Answers**

**Q3.**Suppose we have a Multi-layer Perceptron with an input layer, one hidden layer and an output layer. The hidden layer contains 64 perceptrons. The output layer contains one perceptron. Choose the statement(s) that are true about the network.

The network is capable of implementing 2^{6} Boolean functions

The network is capable of implementing 2^{64} Boolean functions

Each perceptron in the hidden layer can take in only 64 Boolean inputs

Each perceptron in the hidden layer can take in only 6 Boolean inputs

**Answer: Updating Soon (in progress)**

**Q4. **Consider a function f(x)=x3−4×2+7m. What is the updated value of x after 2nd iteration of the gradient descent update, if the learning rate is 0.1 and the initial value of x is 5?

**Answer: Updating Soon (in progress) **

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**These are Deep Learning IIT Ropar Week 2 Assignment 1 Nptel Answers**

**Q5**.You are training a model using the gradient descent algorithm and notice that the loss decreases and then increases after each successive epoch (pass through the data). Which of the following techniques would you employ to enhance the likelihood of the gradient descent algorithm converging? (Here, η

refers to the step size.)

Decrease the value of η

Increase the value of η

Set η=1

Set η=0

**Answer: Increase the value of η**

**Q6. **Which of the following statements is true about the representation power of a multilayer network of perceptions?

A multilayer network of perceptrons can represent any function.

A multilayer network of perceptrons can represent any linear function.

A multilayer network of perceptrons can represent any boolean function.

A multilayer network of perceptrons can represent any continuous function.

**Answer:A multilayer network of perceptrons can represent any boolean function**

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**These are Deep Learning IIT Ropar Week 2 Nptel Assignment Answers**

**Q7.**We have a function that we want to approximate using 150 rectangles (towers). How many neurons are required to construct the required network?

301

451

150

500

**Answer: 301**

**Q8.**We have a classification problem with labels 0 and 1. We train a logistic model and find out that ω0

learned by our model is -17. We are to predict the label of a new test point x

using this trained model. If ωTx=1, which of the following statements is True?

We cannot make any prediction as the value of ωTx

does not make sense

The label of the test point is 0.

The label of the test point is 1.

We cannot make any prediction as we do not know the value of x.

**Answer: The label of the test point is 0.**

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**These are Deep Learning IIT Ropar Week 2 Nptel Assignment Answers**

**Q9.**Suppose we have a function f(x1,x2)=x21+3×2+25 which we want to minimize the given function using the gradient descent algorithm. We initialize (x1,x2)=(0,0) .What will be the value of x1 after ten updates in the gradient descent process?(Let η be 1)

0

-3

−4.5

−3

**Answer:0**

**Q10.**What is the purpose of the gradient descent algorithm in machine learning?

To minimize the loss function

To maximize the loss function

To minimize the output function

To maximize the output function

**Answer: Updating Soon (in progress)**

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**These are Deep Learning IIT Ropar Week 2 Nptel Assignment Answers**

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