Comments on "On hidden nodes in neural nets" by G. Mirchandani and W. Cao

1 November 1991

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuits and Systems

Vol. 38 (11) , 1410
https://doi.org/10.1109/31.99181

Abstract

A comment on the above-named work (see ibid., vol.36, p.661-4, 1989) by G. Mirchandani and W. Cao is presented. The main contribution of that paper is a proof of a theorem showing that 'the maximum number of separable regions (M) in the input space is a function of both H and input space dimension (d),' where H is the number of hidden nodes or, equivalently, the number of hyperplanes. The commenter argues that this theorem was proven in the mid-nineteenth century by the mathematician Ludwig Schlafli.

Keywords

This publication has 3 references indexed in Scilit:

On hidden nodes for neural nets
IEEE Transactions on Circuits and Systems, 1989
Geometrical and Statistical Properties of Systems of Linear Inequalities with Applications in Pattern Recognition
IEEE Transactions on Electronic Computers, 1965
Gesammelte Mathematische Abhandlungen
Published by Springer Nature ,1950