Radial basis function network: Difference between revisions

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m Modify the label of the graph, the parameters accompanying the input x should not be called weights, otherwise it is easy to cause misunderstandings
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==Network architecture==
[[ImageFile:Radial funktion Rbf-network.svg|thumb|250px|right252x252px|Architecture of a radial basis function network. An input vector <math>x</math> is used as input to all radial basis functions, each with different parameters. The output of the network is a linear combination of the outputs from radial basis functions.]]
 
[[Image:Radial funktion network.svg|thumb|250px|right|Architecture of a radial basis function network. An input vector <math>x</math> is used as input to all radial basis functions, each with different parameters. The output of the network is a linear combination of the outputs from radial basis functions.]]
 
Radial basis function (RBF) networks typically have three layers: an input layer, a hidden layer with a non-linear RBF activation function and a linear output layer. The input can be modeled as a vector of real numbers <math>\mathbf{x} \in \mathbb{R}^n</math>. The output of the network is then a scalar function of the input vector, <math> \varphi : \mathbb{R}^n \to \mathbb{R} </math>, and is given by