Consider a tri-gram language model trained on the sentence: ”This is the cat that drinks the milk from the man who lives in Bombay.” (a) What is the perplexity of this model in the test sentence: ”This is the man who lives in Bombay.”? (b) What is the perplexity of the same test sentence if the model uses Add-1 smoothing? (Take the initiating probabilities for the test sentence as 1, i.e., P(This) = 1,P(is|This) = 1)
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