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Artificial Neuron


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:

displaymath1473       

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 `` tex2html_wrap_inline1477 '' 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.




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