Grossberg network

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}}

.