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Condition a Gaussian on another. See Eqn. A.6 on page 200 of Rasmussen and Williams' book.
gaussian.condition(y, .A, .B, .C, mu.x = rep(0, nrow(.A)), mu.y = rep(0, nrow(.B)), U = chol(.B))
y
Var(X)
Var(Y)
Cov(X, Y)
Mean of x
Mean of y
Cholesky decomposition of .B