Neural networks and rational McNaughton functions

被引:0
|
作者
Amato, P
Di Nola, A
Gerla, B
机构
[1] Univ Salerno, Dept Math & Informat, Soft Comp Lab, I-84081 Baronissi, SA, Italy
[2] STMicroelect, SST Corp R& D, I-80022 Arzano, Napoli, Italy
关键词
neural networks; many-valued logic; Lukasiewicz logic; rational weights; McNaughton functions;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper we shall describe a correspondence between Rational McNaughton functions (as truth table of Rational Lukasiewicz formulas) and neural networks in which the activation function is the truncated identity and synaptic weights are rational numbers. On one hand to have a logical representation (in a given logic) of neural networks could widen the interpretability, amalgamability and reuse of these objects. On the other hand, neural networks could be used to learn formulas from data and as circuital counterparts of (functions represented by) formulas.
引用
收藏
页码:95 / 110
页数:16
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