> 
> Has anyone looked at finding optimal discretizations by having a
> discrete variable as a child of a continuous variable and then
> optimizing over the distribution?  [I was teaching my class about mixing
> continuous and discrete variables and sketched out how this could be
> done, but I couldn't find a reference.]
> 

Part of my Ph.D. thesis work was exactly about this (also, optimizing
discretization over the distribution given evidence).  It is still
available at:

http://robotics.stanford.edu/~alexvk/Public/thesis.ps

In short, I was trying to minimize the KL distance of the answer to a
query given a BN on discrete and continuous variables.  It can be done
by propagating information back and forth throughout a network (in a
fashion very similar to LS algorithm).

The initial work was published in UAI-97. 

-- 
Alexander V. Kozlov | [EMAIL PROTECTED] | (650) 933-8493

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