> Maybe other simple solutions exist,

you might want to check out those distributions that magically
have nice properties with respect to the bayesian integral.

they're called conjugate priors, and lots of distributions have
nice, easy to calculate conjugate priors.

there's a table here:

http://en.wikipedia.org/wiki/Conjugate_prior

multivariate gaussians are very useful, and inverse wisharts
and dirichlets can be computed blindingly fast.  this is
useful, for instance, in the case where you're trying to sample
directly from the parameter space of a hidden markov model
over multivariate gaussians, for instance, where you can
easily sample a huge number of trajectories to learn about the
parameter space.

sadly, the number of possible states in a go game is quite large.

s.


 
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