What is the constraint that prevents the number of discrete cells going to
infinity?
Bob Welch
- ----- Original Message -----
From: <alexvk@vostok.engr.sgi.com>
To: <uai@CS.ORST.EDU>
Sent: Friday, April 07, 2000 1:20 PM
Subject: Re: [UAI] mixed variables
> >
> > 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 | alexvk@engr.sgi.com | (650) 933-8493
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