Readers of this list may be interested in an article recently published by
JAIR:

Chan, H. and Darwiche, A. (2002)
  "When do Numbers Really Matter?", Volume 17, pages 265-287.

   Available in PDF, PostScript and compressed PostScript.
   For quick access via your WWW browser, use this URL:
     http://www.jair.org/abstracts/chan02a.html
   More detailed instructions are below.

   Abstract: Common wisdom has it that small distinctions in the
   probabilities (parameters) quantifying a belief network do not matter
   much for the results of probabilistic queries. Yet, one can develop
   realistic scenarios under which small variations in network parameters
   can lead to significant changes in computed queries. A pending
   theoretical question is then to analytically characterize parameter
   changes that do or do not matter. In this paper, we study the
   sensitivity of probabilistic queries to changes in network parameters
   and prove some tight bounds on the impact that such parameters can
   have on queries. Our analytic results pinpoint some interesting
   situations under which parameter changes do or do not matter. These
   results are important for knowledge engineers as they help them
   identify influential network parameters. They also help explain some
   of the previous experimental results and observations with regards to
   network robustness against parameter changes.

The article is available via:
   
 -- comp.ai.jair.papers (also see comp.ai.jair.announce)

 -- World Wide Web: The URL for our World Wide Web server is
       http://www.jair.org/
    For direct access to this article and related files try:
       http://www.jair.org/abstracts/chan02a.html

 -- Anonymous FTP from Carnegie-Mellon University (USA):
        ftp://ftp.cs.cmu.edu/project/jair/volume17/chan02a.ps
    The compressed PostScript file is named chan02a.ps.Z (519K)

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