The Kernel Dynamics of Convolutional Neural Networks in Manifolds

被引：0

作者：

WU Wei ^{[1
,2
]}

JING Xiaoyuan ^{[1
]}

DU Wencai ^{[3
]}

机构：

[1] School of Computer Science,Wuhan University

[2] Institute of Deep-sea Science and Engineering,Chinese Academy of Sciences

[3] Institute of Data Science,City University of Macau

来源：

Chinese Journal of Electronics | 2020年 / 29卷 / 06期

基金：

中国国家自然科学基金;

关键词：

D O I：

暂无

中图分类号：

TP183 [人工神经网络与计算];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We propose a novel expression from manifolds to define Convolutional neural network(CNN).The layered structure is proceeded by integration in limited space continuously,with weights adjusted including value and direction in neural manifolds.Status transfer functions are proposed to simulate the kernel dynamics as a control matrix.We theoretically analyze the stability and controllability of kernel-based CNNs,and verify our findings by numerical experiments.

引用

页码：1185 / 1192

页数：8

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