On the plane home from Germany, I worked on various writing projects, including the transparency paper and my Class2008 proceedings. I tried to write down what minimum message length could say about the Milky-Way-reconstruction problem from astrometric measurements of stellar motions and parallaxes. I have a strong intuition that there is a correct—or at least very useful—approach that could be inspired by or directly derived in the context of the idea that the most probable (posterior-probable) model is the one that provides the best (lossless) compression of the data given the coding scheme suggested by your priors. If I could write it down, it might help with the upcoming GAIA data.
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