DocumentCode
1264411
Title
Comments on "On hidden nodes in neural nets" by G. Mirchandani and W. Cao
Author
Georgiou, George M.
Author_Institution
Dept. of Comput. Sci., Tulane Univ., New Orleans, LA, USA
Volume
38
Issue
11
fYear
1991
Firstpage
1410
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
neural nets; Schlafli theorem; hidden nodes; hyperplanes; input space; input space dimension; neural nets; separable regions; Application software; Books; Circuits; Computer science; Jacobian matrices; Mathematics; Neural networks; Pattern recognition; Scattering;
fLanguage
English
Journal_Title
Circuits and Systems, IEEE Transactions on
Publisher
ieee
ISSN
0098-4094
Type
jour
DOI
10.1109/31.99181
Filename
99181
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