✦ LIBER ✦

Neural network models in a set selection problem

✍ Scribed by Youry R. Romanovsky; Egor D. Brovko

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 151 KB
Volume: 12
Category: Article
ISSN: 0893-6080
DOI: 10.1016/s0893-6080(98)00102-6

No coin nor oath required. For personal study only.

✦ Synopsis

WE INTRODUCE A CONTINUOUS FAMILY OF HIGH ORDER NEURAL NETWORK MODELS WHICH SOLVE THE SET SELECTION PROBLEM: given a finite list of finite sets, find a set that intersects each of them in exactly one element. The additive model proposed earlier by Clark Jeffries belongs to this family. We study deformations of the additive model within our family in a case when 50% of its attracting equilibria do not correspond to answer sets of the problem. As a result, we show that the phase portrait of this model is structurally unstable. We describe deformations that admit only meaningful constant attractors.

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