Again, Consider the document d: the sun rises in the east and sets in the west. This time, assume that we have a background word distribution (pre-computed somehow) denoted by REF which is characterized as follows: PREF(a)=0.18 PREF(the)=0.17 PREF(from)=0.13 PREF(retrieval)=0.02 PREF(sun)=0.05 PREF(rises)=0.04 PREF(in)=0.16 PREF(BM25)=0.01 Pref(east)=0.02 PREF(sets)=0.04 PREF(west)=0.02 PREF(and)=0.16 a. [10 pts] Assume document d is generated by a Unigram Language Model. Estimate the parameters of the Unigram Language Model using Dirichlet Prior Smoothing assuming u=4. Now, compare this result against the results obtained from 2(b). b. [10 pts] Repeat problem 5(a) assuming u=0.01 and u=100. Compare these results with results from problem 5(a). Do the results match with your intuition? explain why. c. [20 pts] Repeat problem 5(a) with Jelinek-Mercer smoothing instead of Dirichlet Prior Smoothing assuming 1={0.01,0.5,0.9} and compare the results obtained for different ls. Also, compare these results with results from problem 5(a) and 5(b). What similarities or differences do you observe? Again, Consider the document d: the sun rises in the east and sets in the west. This time, assume that we have a background word distribution (pre-computed somehow) denoted by REF which is characterized as follows: PREF(a)=0.18 PREF(the)=0.17 PREF(from)=0.13 PREF(retrieval)=0.02 PREF(sun)=0.05 PREF(rises)=0.04 PREF(in)=0.16 PREF(BM25)=0.01 Pref(east)=0.02 PREF(sets)=0.04 PREF(west)=0.02 PREF(and)=0.16 a. [10 pts] Assume document d is generated by a Unigram Language Model. Estimate the parameters of the Unigram Language Model using Dirichlet Prior Smoothing assuming u=4. Now, compare this result against the results obtained from 2(b). b. [10 pts] Repeat problem 5(a) assuming u=0.01 and u=100. Compare these results with results from problem 5(a). Do the results match with your intuition? explain why. c. [20 pts] Repeat problem 5(a) with Jelinek-Mercer smoothing instead of Dirichlet Prior Smoothing assuming 1={0.01,0.5,0.9} and compare the results obtained for different ls. Also, compare these results with results from problem 5(a) and 5(b). What similarities or differences do you observe