Delta Rule

In artificial intelligence, the delta rule is a gradient descent learning rule for updating the weights of the artificial neurons in a single-layer perceptron. It is a special case of the more general backpropagation algorithm. For a neuron with activation function, the delta rule for 's th weight is given by

,

where

is a small constant called learning rate
is the neuron's activation function
is the target output
is the weighted sum of the neuron's inputs
is the actual output
is the th input.

It holds that and .

The delta rule is commonly stated in simplified form for a perceptron with a linear activation function as

Read more about Delta Rule:  Derivation of The Delta Rule

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