A Matrix Algebra for Neural Nets
Almost thirty-five years ago in their classic paper, McCulloch and Pitts (1943) described a method for modeling the nervous system. The basic idea of McCulloch and Pitts’ paper is that the nervous system can be described as a finite set of elements, called neurons, that have only two states, “on” and “off,” They assumed that time could be quantized into a set of discrete instants, so that the state of a neuron at the next instant of time would be a function of the present states of the neurons (and external inputs) that impinged on it.
KeywordsFast Fourier Transform Finite Field Matrix Algebra Convolution Theorem Field Linearization
Unable to display preview. Download preview PDF.
- 3.J.L.S. da Fonseca and W.S. McCulloch, “Synthesis and linearization of nonlinear feedback shift registers.” MIT Research Laboratory of Electronics Quarterly Progress Report No, 86, 1967, pp. 355–366.Google Scholar