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Natural Language Processing

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In an LSTM, assume the forget gate output Ft = 0.7, previous cell state Ct−1 = 0.9,

input gate output It = 0.5, and candidate cell state Ct = 0.8. What is the new cell state Ct?

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In vector semantics, the meaning of a word can change based on context. If the word "bark" is represented in two different contexts—one with "tree" and another with "dog"—what does this imply about the vector representation?

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During forward propagation in an RNN, the output at time step t is heavily influenced by

earlier inputs. Which mathematical property of RNN weight matrices is primarily responsible

for this temporal influence and also the root cause of gradient issues?

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If two words, "car" and "automobile," have high cosine similarity in their vector representations, what does this imply about their meanings?

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In a word embedding model, if the vector for "king" is represented as ( V_{king} ) and the vector for "queen" is ( V_{queen} ), which of the following operations would most likely yield a vector close to "woman"?

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In a sentiment analysis task for logistic regression, it is observed that the true label is 1 and the predicted probability for y is 0.7 What is the cross entropy loss for the above prediction ?
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Which of the following forms of gradient descent updates the weight after computing the gradient over the entire dataset ?

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The precision and recall for the urgent class respectively is

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Compute the micro-averaged precision for the above confusion matrix.

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Given a sentence with k tokens, how many n-grams with frequency greater than zero can be obtained from the sentence where n is an arbitrary natural number ? 

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