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The weights <math> a_i </math>, <math> \mathbf{c}_i </math>, and <math> \beta </math> are determined in a manner that optimizes the fit between <math> \varphi </math> and the data.
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[[Image:060803 normalized radial basis functions.png|thumb|350px|right|Figure 3: Two normalized radial basis functions in one input dimension. The basis function centers are located at <math> c_1=0.75 </math> and <math> c_2=3.25 </math>.]]
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