布尔运算符和神经网络

Q2 Mathematics

Annali dell''Universita di Ferrara Pub Date : 2024-08-22 DOI:10.1007/s11565-024-00541-5

Sara Marziali

引用次数: 0

摘要

我们计算了在张量的投影空间中，与描述小型神经网络决策过程的布尔算子的不同选择相关联的品种的同质理想。我们证明，从具有三个节点的网络开始，与不同布尔算子相关的变量都是不同的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Boolean operators and neural networks

We compute the homogeneous ideals of varieties, in a projective space of tensors, associated to different choices of the Boolean operators that describe the decision process in small neural networks. We prove that, starting with networks with three nodes, the varieties associated to different Boolean operators are all distinct.

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来源期刊

Annali dell''Universita di Ferrara Mathematics-Mathematics (all)

CiteScore

1.70

自引率

0.00%

发文量

期刊介绍： Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.