In this article we introduce a continuous time implementation of adapt
ive resonance theory (ART). ART designed by Grossberg concerns neural
networks that self-organize stable pattern recognition categories of a
rbitrary sequences of input patterns. In contrast to the current imple
mentations of ART we introduce a complete implementation of an ART net
work, including all regulatory and logical functions, as a system of o
rdinary differential equations capable of stand-alone running in real
time. This means that transient behavior is kept in tact. This impleme
ntation of ART is based on ART 2 and is called Exact ART. Exact ART in
cludes an implementation of a gated dipole field and an implementation
of the orienting sub-system. The most important features of Exact ART
, which are the design principles of ART 2, are proven mathematically.
Also simulation studies show that Exact ART self-organizes stable rec
ognition codes that agree with the classification behavior of ART 2. (
C) 1997 Elsevier Science Ltd.