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Abstract:
The partition function for a Boltzmann machine can be bounded
from above and below. We can use this to bound the means and the
correlations. For networks with small weights, the values of
these statistics can be restricted to non-trivial regions (i.e. a
subset of [-1, 1]). Experimental results show that reasonable
bounding occurs for weight sizes where mean field expansions
generally give good results.
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