Clustering (or extracting mutual information) is necessary to perform
some kind of improvement, as things you find mutual information
between provide the definition of what constitutes an improvement. If
you have a concept that is being detected by a certain feature
detector, how do you improve that feature detector? Each modification
applied to it slightly alters the set of things that it detects. How
do you know which change is a good change? One way is to find other
concepts that correlate with this one, and move the concept towards
the mutual information between these concepts, bias the concept
towards the states that light more feature detectors in approximately
the same situations. It's also possible to have a predefined reference
concepts with which to search for mutual information, which is in a
way the case for reinforcement learning, so that you adjust other
concepts in correspondence with the standard. In other cases, the goal
is specified by many correlated constraints, which includes direct
instructions and the probability distribution of exemplars from the
target domain, which is the case in semi-supervised learning. Focusing
on mutual information of multiple clusters corresponds to finding the
clusters of denser-than-average probability in the space of these
features. Why clustering is so effective is another question.

-- 
Vladimir Nesov
[EMAIL PROTECTED]
http://causalityrelay.wordpress.com/


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