The artificial neuron has the main characteristics of the biological neuron:
Its values can be positive if they have an activation role or negative if they have an inhibition role.
Its representation is given on the following figure:
Figure 27: Perceptron
The expression of the output is:
According to the biological model, the function f(), called function of activation, is a function of threshold which activates or not the neuron: below the threshold, the neuron is inactive, above, it is activated.
This model is called perceptron. Its simplicity limits it to linearly separable problems. Using a perceptron having two inputs, a line `` '' allows the possible cases to be separated.
In the case of one logical AND or one logical OR, the
discrimination of the various combinations is possible, but a function
as simple as exclusive OR cannot be solved by a perceptron. See
Mr. Minsky and S. Papert (1969) [MP69].
Figure 28: Linear separation of the switching using a
the perceptron.