In the Bishop Book on Machine Learning, when discussinf Variational Inference, he gives an example of the univariate Gaussian.
He defines in 10.1.3 the mean prior as:
$p(\mu|\tau)=N(\mu|\mu_0,(\lambda_0*\tau)^{-1})$
What is the meaning of the conditional mean over an initial $\mu_0$ and what would be the analytical form for that kind of expression.
Thank You