### Abstract

Original language | English |
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Place of Publication | Eindhoven |

Publisher | Technische Universiteit Eindhoven |

Publication status | Published - 1991 |

Externally published | Yes |

### Publication series

Name | Memorandum COSOR |
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### Fingerprint

### Cite this

*The classification capabilities of exact two-layered perceptrons*. (Memorandum COSOR). Eindhoven: Technische Universiteit Eindhoven.

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*The classification capabilities of exact two-layered perceptrons*. Memorandum COSOR, Technische Universiteit Eindhoven, Eindhoven.

**The classification capabilities of exact two-layered perceptrons.** / Zwietering, P.J.; Aarts, E.H.L.; Wessels, J.

Research output: Book/Report › Book › Scientific

TY - BOOK

T1 - The classification capabilities of exact two-layered perceptrons

AU - Zwietering, P.J.

AU - Aarts, E.H.L.

AU - Wessels, J.

PY - 1991

Y1 - 1991

N2 - The present paper studies the problem of finding a two-layered perceptron that exactly classifies a given subset. Such a two-layered perceptron is called exact with respect to the given subset. We derive both a necessary and a sufficient condition for a given subset to be classifiable by an exact two-layered perceptron. The necessary condition can be viewed as a generalization of the linear-seperability condition of the one-layered perceptron and confirms the conjecture that the capabilities of exact two-layered perceptrons are more limited than those of exact three-layered perceptrons. The sufficient condition shows that the capabilities of exact two-layered perceptrons extend beyond the exact classification of convex subsets. Furthermore, we present a systematic verification method for the given sufficient condition. Keywords: Classification, Multi-Layered Perceptrons,Size Hidden Layer.

AB - The present paper studies the problem of finding a two-layered perceptron that exactly classifies a given subset. Such a two-layered perceptron is called exact with respect to the given subset. We derive both a necessary and a sufficient condition for a given subset to be classifiable by an exact two-layered perceptron. The necessary condition can be viewed as a generalization of the linear-seperability condition of the one-layered perceptron and confirms the conjecture that the capabilities of exact two-layered perceptrons are more limited than those of exact three-layered perceptrons. The sufficient condition shows that the capabilities of exact two-layered perceptrons extend beyond the exact classification of convex subsets. Furthermore, we present a systematic verification method for the given sufficient condition. Keywords: Classification, Multi-Layered Perceptrons,Size Hidden Layer.

M3 - Book

T3 - Memorandum COSOR

BT - The classification capabilities of exact two-layered perceptrons

PB - Technische Universiteit Eindhoven

CY - Eindhoven

ER -