Exact classification with two-layered perceptrons

P.J. Zwietering, E.H.L. Aarts, J. Wessels

Research output: Contribution to journalArticleScientificpeer-review


We study the capabilities of two-layered perceptrons for classifying exactly a given subset. Both necessary and sufficient conditions are derived for subsets to be exactly classifiable with two-layered perceptrons that use the hard-limiting response function. The necessary conditions can be viewed as generalizations of the linear-separability condition of one-layered perceptrons and confirm the conjecture that the capabilities of two-layered perceptrons are more limited than those of three-layered perceptrons. The sufficient conditions show that the capabilities of two-layered perceptrons extend beyond the exact classification of convex subsets. Furthermore, we present an algorithmic approach to the problem of verifying the sufficiency condition for a given subset.
Original languageEnglish
Pages (from-to)143-156
Number of pages14
JournalInternational Journal of Neural Systems
Issue number2
Publication statusPublished - 1992
Externally publishedYes


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