Grossberg network is an artificial neural network introduced by Stephen Grossberg. It is a self organizing, competitive network based on continuous time. Grossberg, a neuroscientist and a biomedical engineer, designed this network based on the human visual system.
Shunting model The shunting model is one of Grossberg's neural network models, based on a Leaky integrator, described by the differential equation
d n d t = − A n + ( B − n ) E − ( C + n ) I {\displaystyle {dn \over dt}\;=\;-An\;+(B-n)E\;-(C+n)I} , where n = n ( t ) {\displaystyle n=n(t)} represents the activation level of a neuron, E = E ( t ) {\displaystyle E=E(t)} and I = I ( t ) {\displaystyle I=I(t)} represent the excitatory and inhibitory inputs to the neuron, and A {\displaystyle A} , B {\displaystyle B} , and C {\displaystyle C} are constants representing the leaky decay rate and the maximum and minimum activation levels. At equilibrium (where d n / d t = 0 {\displaystyle dn/dt=0} ), the activation n {\displaystyle n} reaches the value
n = B E − C I A + E + I {\displaystyle n\;=\;{BE-CI \over A+E+I}} .
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