NPTEL Deep Learning – IIT Ropar Week 3 Assignment Answers 2025
1. How many parameters (including biases) are there in the entire network?
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2. Suppose all elements in the input vector are zero, and the corresponding true label is also 0. Further, suppose that all the parameters (weights and biases) are initialized to zero. What is the loss value if the cross-entropy loss function is used? Use the natural logarithm (ln).
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Use the following data to answer the questions 3 to 4 The diagram below shows a neural network. The network contains two hidden layers and one output layer. The input to the network is a column vector x∈R3. The first hidden layer contains 9 neurons, the second hidden layer contains 5 neurons and the output layer contains 2 neurons. Each neuron in the lth layer is connected to all the neurons in the (l+1)th layer. Each neuron has a bias connected to it (not explicitly shown in the figure)
In the diagram, W1 is a matrix and x,a1,h1, and O are all column vectors. The notation Wi[j,:]
denotes the jth row of the matrix Wi,Wi[:,j] denotes the jth column of the matrix Wi and Wkij
denotes an element at ith row and jth column of the matrix Wk.
3.
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4. How many learnable parameters(including bias) are there in the network?
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5. We have a multi-classification problem that we decide to solve by training a feedforward neural network. What activation function should we use in the output layer to get the best results?
- Logistic
- Step function
- Softmax
- linear
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6. Which of the following statements about backpropagation is true?
- It is used to compute the output of a neural network.
- It is used to optimize the weights in a neural network.
- It is used to initialize the weights in a neural network.
- It is used to regularize the weights in a neural network.
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7. Given two probability distributions p and q, under what conditions is the cross entropy between them minimized?
- All the values in p are lower than corresponding values in q
- All the values in p are higher than corresponding values in q
- p=0 (0 is a vector)
- p=q
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8. Given that the probability of Event A occurring is 0.18 and the probability of Event B occurring is 0.92, which of the following statements is correct?
- Event A has a low information content
- Event A has a high information content
- Event B has a low information content
- Event B has a high information content
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9. What is the predicted output for the given input x after doing the forward pass?
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10. Compute and enter the loss between the output generated by input x and the true output y.
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