This paper proposes a framework for constructing and training radial b
asis function (RBF) neural networks. proposed growing radial basis fun
ction (GRBF) network begins with a small number of prototypes which de
termine the locations of radial basis functions, In the process of tra
ining, the GRBF network grows by splitting one of the prototypes at ea
ch growing cycle, Two splitting criteria are proposed to determine whi
ch prototype to split in each growing cycle, The proposed hybrid learn
ing scheme provides a framework for incorporating existing algorithms
in the training of GRBF networks, These include unsupervised algorithm
s for clustering and learning vector quantization, as well as learning
algorithms for training single-layer Linear neural networks, A superv
ised learning scheme based the minimization of the localized class-con
ditional variance also proposed and tested, GRBF neural networks are e
valuated and tested an a variety of data sets,vith very satisfactory r
esults.