Re: [UAI] mixed variables

From: Russell Almond (ralmond25@home.com)
Date: Sat Apr 08 2000 - 08:27:04 PDT

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    David Poole wrote:

    > I have seen this restriction that no discrete child can be a child of a
    > continuous variable written down as if it can't be done. Why? A
    > disceteization is exactly what a discrete child of a continuous variable
    > is. I would expect that making the discretization explicit would be
    > advantageous, as, for example, different discretizations may be
    > appropriate for different purposes.

    The problem is a practial one, rather than theoretical. If you have a
    normal parent and a discrete child, then marginalization in some cases
    is an integral which can't be written in closed form. As a consequence,
    none
    of the off the shelf uncertainy propagation software supports such
    models. Lauritzen's book has the details

    There are, however, approaches to approximate inference. I wouldn't be
    surprized
    to see them start turning up in UAI papers in the next couple of years.

            --Russell Almond



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