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# Monthly Archives: July 2008

## Marginal Beliefs of Random MRFs

A pairwise Markov Random Field is a way of defining a probability distribution over some vector . One way to write one is . Where the first sum is over all the variables, and the second sum is over neighboring … Continue reading

## More Vector Calculus Identities

I realize that “rule 2” from the previous post is actually just a special case of the vector chain rule. Rule 4. (Chain rule) If , then , or equivalently, . Here, I have used to denote the argument of … Continue reading

## Vector Calculus Identities

Suppose . That is, is a scalar function of a vector , given by taking the inner product of the two vector valued functions and . Now, we would like the gradient of , i.e. . What is it? I … Continue reading