by Neil E. Cotter
Research
Assistant Professor
Function Approximations
Interpolation
Basis function networks
Padé approximation
VC dimension
†Volume and surface area of n-sphere
†Number of hyperplane decision regions
*†The Stone-Weierstrass theorem and Its Application to Neural Networks
Stone-Weierstrass theorem
†Identity function
†Separability
†Algebraic closure
Examples
†Perceptron network (pdf)
Universal approximation (from Neural Networks)
*†The CMAC and a Theorem of Kolmogorov
*†Universal Approximation by Phase Series and Fixed-Weight Networks
*†A Pulsed Neural Network Capable of Universal Approximation