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A unified framework for multilayer high order CNN

✍ Scribed by Majorana, Salvatore; Chua, Leon O.

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
420 KB
Volume
26
Category
Article
ISSN
0098-9886

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✦ Synopsis

We propose a unified notation for representing any CNN topology. The framework presented here is an attempt to provide a common base for the future development of more general CNN structures, such as multilayer and/or high-order CNNs, which have already been of great interest in many disciplines including biology, chemistry, ecology, physics, etc.

The paper is divided in two parts: first (Sections 1-3) it is shown how to cast any CNN structure into a so called 'compact form', from which we can derive a vector of ordinary differential equations (ODE) which can be used for mathematical analysis and for computer simulation of the CNN; in the second part (Section 4) some examples show how multilayer structures are required to solve hard learning problems such as the parity problem.

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