Markov Assumption and Unigram Model

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10 Questions

What does the language model represent?

P(wn|w1,w2…wn)

What is the formula for the joint probability of multiple variables using the Chain Rule?

P(A,B,C,D) = P(A)P(B|A)P(C|A,B)P(D|A,B,C)

How is the probability of a sentence computed using the Chain Rule?

P(its, water, is, so, transparent) = P(its)P(water|its)P(is|its,water)P(so|its,water,is)P(transparent|its,water,is,so)

Why can't we simply count and divide to estimate the probabilities of words in a sentence?

Because there are too many possible sentences

What is the formula for estimating the probability of a word given the previous words using the Chain Rule?

P(w|w1,w2…wn-1) = P(w1,w2…wn-1,w) / P(w1,w2…wn-1)

What is the purpose of the Chain Rule in language modeling?

To simplify the computation of joint probabilities

How is the probability of a sentence P(W) computed in language modeling?

P(W) = P(w1)P(w2|w1)P(w3|w1,w2)…P(wn|w1,w2…wn-1)

What is the advantage of using the Chain Rule in language modeling?

It enables the estimation of probabilities for unseen sentences

What is the formula for the conditional probability p(B|A)?

p(B|A) = p(A,B) / p(A)

What is the purpose of language modeling in NLP?

To estimate the probability of a sentence

This quiz covers the concept of Markov Assumption and its application in the simplest case of Unigram model, along with examples of automatically generated sentences.

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