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13 Feb 2023: a) (b) (c)-2 µ 2-2 µ 2-2 µ 2. 0. v. ... a) Independent Normal and inverseGamma, N (µ|µµ, vµ)IG(v|a, b). b) Normal-inverse-Gamma,N (µ|µµ, vµv)IG(v|a, b).

27 Jan 2023: In detail, ifp(x) = N (b, B) and the Gaussian kernels on the data points areN (ai = x(i), A = diag(w21,. ,

13 Feb 2023: C = (Λ1 S1)1. cj = C(Λ1xj S. 1u) (32). 1N(a, A)N(b, B) N(c, C) with C = (A1 B1)1, c = C(A1a B1b) and normalizing constantzc = ... 2π)D/2|C|1/2|A|1/2|B|1/2 exp.

13 Feb 2023: b b b. b b b. b b. b ba1. a2. ... bb. b. b. ai. Figure 1. Left: Grid factor graph with a pairwise 4-connected fac-tor.

13 Feb 2023: I p(y I x"B) B i I Si I YE S,. ... prediction p(y I x;, B). We will call this model 'EMPrior Model'.

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27 Jan 2023: Ü Ø Þö øùú ì ùûD. Þ. üýeþgÿþgÿeþ CÿTþlýeþgÿÿ "!#$Tý%þ&' GÿlÿTþ(ÿ)&%"vÿTþ(,.-0/ÿvÿ (132546,Tý7!#3 ( 8qþ9:8;78qþ ( =<3 <>!9eÿþ 78;@8qþ( = A%þ(B!#BTýDCZþFE:!GH7IJJ% ... ªº O - ¤ b B» z ¤ £ x y z ¤ O £ x x y

13 Feb 2023: T _ b: _ b T. T _ b. T _ b is the entropy of the field at the individual unlabeled datapoint b. ... The gradient is computed as [ W! VK X j. T _ b_ b: _ b [ W (12)where the values. _

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

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.