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The [https://en.wikipedia.org/wiki/Perceptron perceptron] is an algorithm for [[Supervised Learning|supervised learning]] of [https://en.wikipedia.org/wiki/Binary_classification binary classifiers]. It was the first artificial neural network, introduced in 1957 by [https://en.wikipedia.org/wiki/Frank_Rosenblatt Frank Rosenblatt] <ref>[https://en.wikipedia.org/wiki/Frank_Rosenblatt Frank Rosenblatt] ('''1957'''). ''The Perceptron - a Perceiving and Recognizing Automaton''. Report 85-460-1, [https://en.wikipedia.org/wiki/Calspan#History Cornell Aeronautical Laboratory]</ref>, implemented in custom hardware. In its basic form it consists of a single neuron with multiple inputs and associated weights.
[[Supervised Learning|Supervised learning]] is applied using a set D of labeled [https://en.wikipedia.org/wiki/Test_set training data] with pairs of [https://en.wikipedia.org/wiki/Feature_vector feature vectors] (x) and given results as desired output (d), usually started with cleared or randomly initialized weight vector w. The output is calculated by all inputs of a sample, multiplied by its corresponding weights, passing the sum to the activation function f. The difference of desired and actual value is then immediately used modify the weights for all features using a learning rate 0.0 < α <= 1.0:
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for (j=0, Σ = 0.0; j < nSamples; ++j) {
