Neural networks Radial basis function

B. Carse and T.C. Fogarty, Fast evolutionary learning of minimal radial basis function neural networks using a genetic algorithm. Lecture Notes in Computer Science, 1143, (1996) 1-22. 

Other sigmoidal functions, such as the hyperbolic tangent function, are also commonly used. Finally, Radial Basis Function neural networks, to be described later, use a symmetric function, typically a Gaussian function. 

Fig. 3 Schematic drawing of radial basis function neural network.

Tetteh, J., Suzuki, T, Metcalfe, E. and Howells, S. (1999). Quantitative Structure-Property Relationships for the Estimation of Boiling Point and Flash Point Using a Radial Basis Function Neural Network. J.Chem.InfiComput.ScL, 39,491-507. 

Yao XJ, Panaye A, Doucet JP, Chen HF, Zhang RS, et al. Comparative classification study of toxicity mechanisms using support vector machines and radial basis function neural networks. Anal Chim Acta 2005 535 259-73. 

Panaye A, Fan BT, Doucet JP, Yao XJ, Zhang RS, et al. Quantitative structure-toxicity relationships (QSTRs) A comparative study of various nonlinear methods. General regression neural network, radial basis function neural network and support vector machine in predicting toxicity of nitro- and cyano- aromatics to Tetrahymena pyriformis. SAR QSAR Environ Res 2006 17 75-91. 

Various density-functional theory based descriptors were probed with success by Arulmozhiraja and Morita [155]. In 2005, Hirokawa and coworkers employed Hartree-Fock theory, which identifies the polarization as a key parameter for QSAR on AhR binding [156]. Wang et al. extended their work to include polybrominated compounds and reached a cross-validated r2 of 0.580 and 0.680 using CoMFA and CoMSIA, respectively [157], Zheng and coworkers [158] employed radial basis function neural networks and obtained... 

Li, Q., Chen, X. and Hu, Z. (2004) Quantitative structure-property relationship studies for estimating boiling points of alcohols using calculated molecular descriptors with radial basis function neural networks. Chemom. Intell. Lab. Syst., 72, 93-100. 

Patankar, S.J. and Jurs, P.C. (2003a) Classification of HIV protease inhibitors on the basis of their antiviral potency using radial basis function neural networks./. Comput. Aid. Mol. Des., 17, 155-171. 

Optimisation of radial basis function neural networks using biharmonic spline interpolation. Chemom. Intel Lab. Syst., 41, 17—29. 

Quantitative structure-property relationships for the estimation of boiling point and flash point using a radial basis function neural network. /. Chem. Inf. Comput. Sci., 39, 491—507. 

Figure 2. Structure of a Radial Basis Function Neural Network (RBF).

Evans P, Persaud KC, Mcneish AS, Sneath RW, Hobson N, Magan N, 2000. Evaluation of a radial basis function neural network for the determination of wheat quality from electronic nose data. Sensors and Actuators B Chemical 69, 348-58. 

Harding, Popelier, and co-workers [285,286] have employed a variety of quantum chemical approaches in their estimation of the pK s ol oxyacids. In a study of 228 carboxylic acids they used what they call quantum chemical topology to find pK estimates. They tested several different methods, including partial least squares (PLS), support vector machines (SVMs), and radial basis function neural networks (RBFNNs) with Hartree-Fock and density functional calculations, concluding that the SVM models with HF/6-31G calculations were most efficient [285]. Foi a data set of 171 phenols they found that the C-0 bond length provided an effective descriptor for pK estimation [286]. 

F. Luan, W. Ma, H. Zhang, X. Zhang, M. Liu, Z. Hu, andB. Fan, Prediction ofpK for neutral and basic drugs based on radial basis function neural networks and the heuristic method, Pharm. Res. 22 (2005), pp. 1454-1460. 

M. S. Sanchez, H. Swierenga, L. A. Sarabia, E. Derks, and L. Buydens, Chemom. InteU. Lab. Syst., 33, 101 (1996). Performance of Multi Layer Feedforward and Radial Basis Function Neural Networks in Classification and Modelling. 

Optimization of Radial Basis Function Neural Networks Using Bioharmonic Spline Interpolation. 

Liu H, Wen Y, Luan F, Gao Y (2009) Application of experimental design and radial basis function neural network to the separation and determination of active components in traditional Chinese medicines by capillary electrophoresis. Anal Chim Acta 638 88-93. doi 101016/j.aca.2009.02.006... 

Adaptive Control of Continuous Pulp Digesters based on Radial Basis Function Neural Network Models... 

Onel, l.Y, Dalci, K.B. Send, 1. 2006. Detection of bearing defects in three-phase induction motors using Park s transform and radial basis function neural networks. Sadhana 31(3) 235-244. 

Schwenker, R, Dietrich, C., Kestler, H.A., Riede, K. and Palm, G. (2003) Radial basis function neural networks and temporal fusion for the classification of bioacoustic time series. Neurocomputing, 51 265-275. 

Wilkins, M.F., Boddy, L., Morris, C.W. and Jonker, R.R. (1999) Identification of phytoplankton from flow cytometry data by using radial basis function neural networks. Applied and Environmental Microbiology, 65 4044-4410. 

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