1. The pexceptron was originally described by Frank Rosenblatt in 1958. The original reports occasioned a certain amount of controversy, and much further work has been done since that time. Perhaps the closest approach to a definitive exposition is F. Rosenblatt, Principles of Neurodynamics: Perceptrons and the Theory of Brain Mechanisms, Spartan Press, Washington D.C., 1962.
2. As should be apparent, many variants of the basic perceptron idea are possible; cf. Rosenblatt op. cit. For instance, each analyser unit may receive inputs from only a random subset of sensory units; the analyser units may be iterated in several layers; the analyser units may be cross-connected, etc.
3. A particularly lucid exposition is A. Novikoff, ‘On Convergence Proofs for Perceptrons’, Mathematical Theory of Automata Symposium, Brooklyn Polytech., 1962. See also A. Charnes, ‘The Geometry of Convergence of Simple Perceptrons’, J. Math. Anal. Appl., 7 (1963) 475–48 L This last paper is especially interesting because of the utilization of techniques of linear programming (cf. Section 12.3); these programming techniques can indeed be entirely reformulated in terms of perceptron convergence problems.
4. Referenced in an interesting review paper by J. K. Hawkins, ‘Self-Organizing Systems-A Review and Commentary’, Proc. IRE, 49 (1961) 31–48.
5. A. S. Householder and H. D. Landahl, Mathematical Biophysics of the Central Nervous System, Principia Press, San Antonio, 1945.