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In the context of language models, what does the Markov Assumption imply?<br /> A. a. Future states are independent of the present state <br />B. b. Future states depend only on the present state <br />C. c. Past states are independent of future states <br />D. d. Past states depend only on the future state

Question

In the context of language models, what does the Markov Assumption imply?<br /> A. a. Future states are independent of the present state <br />B. b. Future states depend only on the present state <br />C. c. Past states are independent of future states <br />D. d. Past states depend only on the future state

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Solution

The Markov Assumption in the context of language models implies that B. Future states depend only on the present state. This means that the probability of moving to the next state depends solely on the current state and not on the sequence of events that preceded it.

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CA MARKOV MODEL

Consider the following sentence: a Markov model tags easilyAssume that based on a&nbsp; HMM, we have the following probabilities:&nbsp;Emission:P1(a|DET) = 0.1,&nbsp;&nbsp;&nbsp; P1(easily|ADV) = 0.1,&nbsp; &nbsp;P1(Markov|N) = 0.1,&nbsp; &nbsp;&nbsp;P1(model|N)&nbsp;&nbsp; = 0.095, &nbsp;P1(model|V)&nbsp; =0.005,&nbsp;P1(tags|N) = 0.080,&nbsp; P1(tags|V) = 0.020,Transition probabilities: P(Y|X) Y DET &nbsp; N &nbsp; V &nbsp; ADJ &nbsp; ADV X DET 0 0.55 0 0.02 0.03 &nbsp; N 0.01 0.1 0.08 0.01 0.02 &nbsp; V 0.16 0.11 0.06 0.08 0.08 &nbsp; ADJ 0.01 0.65 0 0.05 0 &nbsp; ADV 0.08 0.02 0.09 0.04 0.04 Initial probabilitiesP3(DET) = 0.20, P3(N) = 0.06, P3(V) = 0.08, P3(ADV) = 0.07, P3(ADJ) = 0.02.What are the possible tag(s) of the sentence?Assume you want to use the Viterbi algorithm to decode the sentence, write down the expression to be evaluated at the initial step.Write down the expression for the second iteration if the first tag is DET, for a second tag of ADJ

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