Grossberg network is an

artificial neural network In machine learning, a neural network (also artificial neural network or neural net, abbreviated ANN or NN) is a computational model inspired by the structure and functions of biological neural networks. A neural network consists of connected ...

introduced by

Stephen Grossberg Stephen Grossberg (born December 31, 1939) is a cognitive scientist, theoretical and computational psychologist, neuroscientist, mathematician, biomedical engineer, and neuromorphic technologist. He is the Wang Professor of Cognitive and Neural ...

. 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 The visual system is the physiological basis of visual perception (the ability to detect and process light). The system detects, transduces and interprets information concerning light within the visible range to construct an image and build ...

Shunting model

The shunting model is one of Grossberg's neural network models, based on a

Leaky integrator In mathematics, a leaky integrator equation is a specific differential equation, used to describe a component or system that takes the integral of an input, but gradually leaks a small amount of input over time. It appears commonly in hydraulics ...

, described by the differential equation :

\; = \; -An \; + (B - n)E \; - (C + n)I

, where

n=n(t)

represents the activation level of a neuron,

E=E(t)

and

I=I(t)

represent the excitatory and inhibitory inputs to the neuron, and

A

B

, and

C

are constants representing the leaky decay rate and the maximum and minimum activation levels. At equilibrium (where

dn/dt=0

), the activation

n

reaches the value :

n \; = \;

References

Artificial neural networks {{Artificial-neural-network-stub