Model plausibility of textual data

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Question

N-gram langauge models are fundamental statsitical tools to model plausibility of textual data. In this problem, you are going to manually build a unigram model p_1(W)p1?(W), a bigram model p_2(W_i | W_{i-1})p2?(Wi?|Wi-1?), and a trigram model p_3(W_i | W_{i-2} W_{i-1})p3?(Wi?|Wi-2?Wi-1?) given the following corpus with a few sentences.

Now, now, now, cried the queen. Faster, faster. And they went so fast that at last they skim through the air.

Define the vocabulary W, which is a set of all words. Assume that your design decision removes all the punctuations and make every letter lower-cased. The size of the vocabulary:

Reference no: EM133234883

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