NDLI: The Kernel Dynamics of Convolutional Neural Networks in Manifolds

Content Provider	IET Digital Library
Author	Wu, Wei Jing, Xiaoyuan Du, Wencai
Abstract	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.
Starting Page	1185
Ending Page	1192
Page Count	8
ISSN	10224653
Volume Number	29
e-ISSN	20755597
Issue Number	Issue 6, Nov (2020)
Journal	Chinese Journal of Electronics
Publisher Date	2020-11-01
Access Restriction	Open
Rights Holder	© Chinese Institute of Electronics
Subject Keyword	Convolutional Neural Nets Convolutional Neural Network Kernel Dynamics Kernel-based CNN Knowledge Engineering Technique Layered Structure Learning in AI Neural Computing Technique Neural Manifolds Status Transfer Function
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Electrical and Electronic Engineering

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The Kernel Dynamics of Convolutional Neural Networks in Manifolds