Biomedical subjects
Paul C. Kainen
Publications and source records attributed to Paul C. Kainen.
Estimates of the Number of Hidden Units and Variation with Respect to Half-Spaces.
We estimate variation with respect to half-spaces in terms of "flows through hyperplanes". Our estimate is derived from an integral representation for smooth compactly supported multivariable functions proved using properties of the Heaviside and delta distributions. Consequently we obtain conditions which guarantee approximation error rate of order O by one-hidden-layer networks with n sigmoidal perceptrons. Copyright 1997 Elsevier Science Ltd.
Journal Article↗