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7. Consider the allocation of topics to words in LDA (topic modeling ) using Gibbs sampling in the three documents below . In the diagram

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7. Consider the allocation of topics to words in LDA (topic modeling ) using Gibbs sampling in the three documents below . In the diagram , what is shown in the current allocation of two topics to different words . calculate the probability of allocating the topic of War to the word Fight in document 2 after one more iteration . Show your calculations . (10 points ) Topic Words In Tople Words In document 1 document 2 War Fight Romance Fight Romance Kill War Love Romance Love War Soldier War Kill Romance Love War Love Romance Love Topic Words in document 3 War Kill War Fight Romance Soldier War Kill Romance Love Calculate the probability of allocating the topic of War to the word Fight in document 2 after one more iteration For each word wind and each topic t, calculate p (War | document 2) = proportion of words in document d that are currently assigned to topic War = 2/4 p (Fight | War ) = proportion of assignments to topic war over all documents that come from this word fight = 2/8 Reassign war in document 2 a topic War with probability : p [War | document 2] x p (Fight | War ) =2/4*2/8 = 0.125

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