The Kernel Dynamics of Convolutional Neural Networks in Manifolds. Issue 6 (1st November 2020)

• Record Type: Journal Article
• Authors: Wu, Wei; Jing, Xiaoyuan; Du, Wencai
• Is Part Of: Chinese journal of electronics. Volume 29:Issue 6(2020)
• Page Start: 1185
• Page End: 1192
• Publication Date: 2020-11-01
• Subjects: convolutional neural nets -- learning (artificial intelligence); kernel‐based CNN -- convolutional neural network -- kernel dynamics -- status transfer functions -- neural manifolds -- layered structure; Convolutional neural networks -- Kernelbased convolution -- Learning dynamics -- Neural manifolds; Electronics -- Periodicals; Electronics -- China -- Periodicals; Electronics; China; Periodicals; 621.38105
• DOI: 10.1049/cje.2020.10.004
• Languages: English
• ISSNs: 1022-4653

Abstract

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.