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Deep Learning · End Term · Jan 2024 · AN

Deep Learning · End Term · Jan 2024 AN

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Question 51 MSQ · 3.0 marks

Consider the MP neuron model and its applicability to representing boolean functions. Select the correct statements:
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The MP neuron model can represent a wide range of boolean functions (not all) by appropriately adjusting its weights and thresholds.
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The MP neuron model can approximate arbitrary boolean functions, including non-linear ones.
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The MP neuron model can accurately represent the XOR function by adjusting its weights and thresholds.
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The representation power of the MP neuron model increases when multiple neurons are combined in a network architecture.

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Question 52 NAT · 2.0 marks

How many sigmoid neurons do we require to construct a tower function using single hidden layer to approximate a 2 dimensional continuous function ?

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Question 53 MCQ · 3.0 marks

Source diagram or notation
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Question 54 MCQ · 3.0 marks

In the context of mini-batch gradient descent, if reducing the size of the minibatch to half makes your model take thrice as many epochs to reach convergence, how does this affect the total number of parameter updates compared to using the original mini-batch size? Assume everything else remains constant.
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The number of updates required increases by 2/3 times.
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The number of updates required increases by six times.
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The number of updates required increases by 3/2 times.
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The number of updates required decreases by 2/3 times.
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The number of updates required decreases by six times.
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The number of updates required decreases by 3/2 times.

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Question 55 MCQ · 3.0 marks

Which of the following statements about AdaMax optimisation algorithm are True?
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It updates the learning rate using the average of past gradients.
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It updates learning rates adaptively based on past gradients.
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It uses the maximum of past gradients instead of the root mean square of past gradients.
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It does not involve any adaptive learning rate mechanism.

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Question 56 MSQ · 2.0 marks

Choose all the correct options from below.
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In Triangular Cyclic Learning rate scheme,learning rate changes abruptly after certain number of iteration.
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In Cosine Annealing learning rate changes abruptly after certain number of iterations.
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In Step Decay learning rate scheme we halve the learning rate after an epoch if the validation error is less than what it was for previous epoch.
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In Warm Start method we start with high initial learning rate and then decay it.

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Question 57 NAT · 3.0 marks

Consider an ensemble consisting of 5 models, where each model has an individual error rate of 50% on the test set. Assuming a simple majority voting scheme, what is the probability that a given instance is misclassified by the ensemble? Assume that the models are independent and their errors are uncorrelated.

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Question 58 NAT · 3.0 marks

Given the true outputs for a dataset, y = [1,2,3,4], and the predictions from three different models (A, B, and C) trained on different subsets of the training data, as follows: Model A predictions: A = [1.1,1.9,3.1,3.9] Model B predictions: B = [0.9,2.1,2.9,4.1] Model C predictions: C = [2,2,3,4] Calculate the average variance for these models evaluated in a regression task. Assume that each model uses the same parameters but is trained on different subsets of the training data. (Enter your answer up to 3 decimal places.)

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Question 59 NAT · 3.0 marks

Consider a Convolutional Neural Network (CNN) architecture for image classification with the following layers: 1. Convolutional layer with 24 filters of size 3 × 3, with a stride of 1 and no padding. 2. Max pooling layer with a pool size of 2 × 2 and a stride of 2. 3. Convolutional layer with 56 filters of size 4 × 4, with a stride of 1 and no padding. 4. Max pooling layer with a pool size of 2 × 2 and a stride of 2. 5. Fully connected layer with 108 neurons. 6. Output layer with 10 neurons (for 10 classes) using softmax activation. If the input image size is 84 × 84 × 3, and the network has no bias term, how many parameters are there in the CNN?

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Question 60 NAT · 3.0 marks

Suppose you have a vocabulary of 5,000 unique words and you want to train a CBOW model with a window size of 3 (on each side) and with an embedding dimension of 500. How many parameters (weights) will the embedding layer have?

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Question 61 NAT · 3.0 marks

Assume that your CBOW model outputs a probability distribution over a vocabulary of 10,000 words for a given context. If the correct target word is word number 200, and the model’s predicted probability for this word is 0.3, calculate the cross-entropy loss for this prediction.

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Question 62 NAT · 3.0 marks

In a Skip-gram model with a window size of 2 (on each side), how many **unique** pairs of target and context words will be generated for the following sentence: **‘Finish easy questions as early as possible’**

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Question 63 NAT · 3.0 marks

In a Skip-gram model with a vocabulary of 20000 words, if you choose a negative sampling rate of 5 negative samples for each positive sample, how many **total** samples will be generated for a sentence with 10 words and a window size of 2 (on each side)?

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Question 64 NAT · 2.0 marks

Source diagram or notation
Based on the above data, answer the given subquestions.
With a total of 20 time steps (T = 20, implying prediction for a word of length 19), what is the total count of parameters (including bias) within the network?

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Question 65 MCQ · 3.0 marks

Source diagram or notation
Based on the above data, answer the given subquestions.
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[0, 0, 0.5, 0.5, 0, 0, 0, 0]\(^{T}\)
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[0.1, 0.1, 0.1, 0.3, 0.1, 0.1, 0.1,0.1]\(^{T}\)
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[0, 0, 0, 1, 0, 0, 0, 0]\(^{T}\)
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[1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8]\(^{T}\)

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Question 66 NAT · 3.0 marks

Source diagram or notation
Based on the above data, answer the given subquestions.
If all the parameters (including bias) in the network are initialized to zero, what will be the total loss after 20 time steps (assume that indices start with 1) for the input [0, 0, 0, 1, 0, 0, 0, 0]\(^{T}\) ? assume the loss to be cross-entropy at each time step. Write your answer correct to two decimal places.

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Question 67 MSQ · 3.0 marks

Consider training a Recurrent Neural Network (RNN) for a sequence prediction task. Which of the following statements accurately describe challenges in training RNNs?
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RNNs suffer from the problem of ”short-term memory,” where they struggle to retain information from earlier time steps when processing long sequences, leading to limitations in capturing long-term dependencies.
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RNNs do not suffer from the problem of ’short-term memory’ and can effectively retain information from earlier time steps even when processing long sequences.
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Training RNNs requires careful initialization of weights and biases to ensure stable convergence during training, as poorly initialized weights can lead to gradient saturation and slow learning.
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Architectural modifications such as Long Short-Term Memory (LSTM) and Gated Recurrent Unit (GRU) have been introduced to address the problem of ”short-term memory” in RNNs and improve their ability to capture long-term dependencies.

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Question 68 MCQ · 2.0 marks

State True or False. GRUs are popular variant of LSTMs in which output and forget gates are combined.
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TRUE
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FALSE       **Programming in C** **Section Id :** 64065357855 **Section Number :** 4 **Section type :** Online **Mandatory or Optional :** Mandatory **Number of Questions :** 26 **Number of Questions to be attempted :** 26 **Section Marks :** 100 **Display Number Panel :** Yes **Section Negative Marks :** 0 **Group All Questions :** No **Enable Mark as Answered Mark for Review and** Yes **Clear Response :** **Maximum Instruction Time :** 0

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