Abstract
A competitive exception learning algorithm (CELA) is
proposed which derives exceptional patterns from a given set
of data pairs.
In the first step of the algorithm, the output space is fuzzily
partitioned (using a competitive learning algorithm) and then
characterized by a so-called linconditional cluster
membership distribution. In the second step, the input space
is fuzzily partitioned as well by again using competitive
learning. After leaming, the input clusters represent locations
in the input space which correspond to the most exceptional
patterns in the output space. These patterns are characterized
by so-termed conditional cluster membership distributions. In
the third step, a fuzzy rule base is set up describing the
exceptions in linguistic terms. In addition, the complete fuzzy
input-output map can be estimated using a mathematical
function.
Besides describing the various steps of the new algorithm, a
theoretical framework is introduced using an informationtheoretical
point of view: all output data points are supposed
to be generated by a non-stationary stochastic, fuzzy
information source. A summary concerning the results of
certain simulations completes the description of CELA. The
article is concluded with a discussion and outlook
AbstractA competitive exception learning algorithm (CELA) isproposed which derives exceptional patterns from a given setof data pairs.In the first step of the algorithm, the output space is fuzzilypartitioned (using a competitive learning algorithm) and thencharacterized by a so-called linconditional clustermembership distribution. In the second step, the input spaceis fuzzily partitioned as well by again using competitivelearning. After leaming, the input clusters represent locationsin the input space which correspond to the most exceptionalpatterns in the output space. These patterns are characterizedby so-termed conditional cluster membership distributions. Inthe third step, a fuzzy rule base is set up describing theexceptions in linguistic terms. In addition, the complete fuzzyinput-output map can be estimated using a mathematicalfunction.Besides describing the various steps of the new algorithm, atheoretical framework is introduced using an informationtheoreticalpoint of view: all output data points are supposedto be generated by a non-stationary stochastic, fuzzyinformation source. A summary concerning the results ofcertain simulations completes the description of CELA. Thearticle is concluded with a discussion and outlook
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