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27 Jan 2023: P (A = a|B = b) is the probability A = a occurs given the knowledge B = b. ... Note. a P (A = a, B = b|H) =. P (B = b|H) gives the normalising constant of proportionality.

19 Nov 2023: How many documents, how many words and how many unique words are there inA, in B and in the union of A and B? ... What is the per-wordperplexity? What is the per-word perplexity over all documents in B?

19 Nov 2023: How manydocuments, how many words and how many unique words are there in A, in B and in the union of Aand B? ... What is theper-word perplexity over all documents in B? f) 10% : What would the perplexity be for a uniform multinomial?

19 Nov 2023: How manydocuments, how many words and how many unique words are there in A, in B and in the union of Aand B? ... Whatis the per-word perplexity over all documents in B? f) 10% : What would the perplexity be for a uniform multinomial?

19 Nov 2023: How manydocuments, how many words and how many unique words are there in A, in B and in the union of Aand B? ... Whatis the per-word perplexity over all documents in B? f) 10% : What would the perplexity be for a uniform multinomial?

19 Nov 2023: p(x, y) = N([ a. b. ],[A B. B> C. ])= p(x) = N(a, A),. ... b. ],[A B. B> C. ])= p(x|y) = N(a BC1(y b), ABC1B>),.

13 Feb 2023: 7. ". &:. 1 "Q ". # ()! $. "Q " ' " ;.,< " %! #. %? &9? B? %. 4. " #. &? &? & ,. 5 1 -#? #? %& % &? $? % P & %P&. ... B< UA A- C DA+92+& ;#MM""" M/ MM92+&/< G D ( 0 4992.

19 Nov 2023: E(a) (b). Two types of nodes:• The circles in a factor graph. ... Z =aA. bB. cC. dD. eE. g1(A = a, C = c)g2(B = b, C = c, D = d)g3(C = c, D = d, E = e).

19 Nov 2023: Z =aA. bB. cC. dD. eE. g1(A = a, C = c)g2(B = b, C = c, D = d)g3(C = c, D = d, E = e). ... A. D. C. B. E. A. D. C. B. E(a) (b) (c).

19 Nov 2023: Some distributions (cont). Uniform (x [a,b]):p(x|a,b) =. {1ba if a x b0 otherwise. ... Gamma (x 0):p(x|a,b) = b. a. Γ(a)xa1 exp{bx}. Beta (x [0, 1]):p(x|α,β) = Γ(α β).