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Function approximation with an orthogonal basis net

An orthogonal basis net (OrthoNet) is studied for function approximation. The network transfers input space to a new space in which the orthogonal basis function is easy to construct. This net has the advantages of fast and accurate learning and the ability to deal with high-dimensional systems, and it has only one minimum, so that local minima are not attractors for the learning algorithm. The speed and accuracy advantages of the OrthoNet are illustrated for some 1-D and 2-D problems