Neural Networks

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Internal

Individual Neuron

Individual neurons are computational units that read input features, represented as an unidimensional vector x1 ... xn in the diagram below, and calculate the hypothesis function as output. Note that x0 is not part of the feature vector, but it represents a bias value for the unit.

Neuron.png

This is a representation of a logistic unit with a sigmoid (logistic) activation function.

The θ vector represents the model's parameters (model's weights). For a multi-layer neural network, the model parameters are collected in matrices named Θ, which will be describe below.

The bias unit is optional, but when it is provided, it is always 1.

Multi-Layer Neural Network

When the output

Input

Output