Figure A2.

Prior mutual information increases with skyline complexity.} For the uniform GMRF, we show that under fixed smoothing (and hence ), the additional mutual information introduced by the prior, , significantly increases with the complexity, , of our skyline. The colored curves are (along the grey arrow) for at with (robust design point). The dashed   is also given for comparison. Clearly, the more skyline segments we have for a given tree, the more likely we are being overly informed by our prior.