Abstract: It is shown that the linear convolution required in block filtering can be decomposed into a sum of skew-cyclic convolutions. Such convolutions can be realized efficiently with half-length ...

You can use these live scripts as demonstrations in lectures, class activities, or interactive assignments outside class. This module covers the definition and computation of 1D and 2D convolution, as ...

1 College of Finance and Commerce, Guangzhou Railway Polytechnic, Guangzhou, China. 2 School of Intelligent Construction and Civil Engineering, Zhongyuan University of Technology, Zhengzhou, China. 3 ...

Abstract: A novel algorithm based on fractional Fourier circular convolution theorem is proposed to deal with the fractional linear convolution, which is in accordance with the hidden periodicity of ...

In the past few decades, multi-linear algebra also known as tensor algebra has been adapted and employed as a tool for various engineering applications. Recent developments in tensor algebra have ...

College of Mechanical Engineering, Xi’an University of Science and Technology, Xi’an 710054, China ...

We study the function space characterization of the inductive bias resulting from controlling the \(\ell_2\) norm of the weights in linear convolutional networks. We view this in terms of an induced ...

Background: Convolution neural networks (CNN) is increasingly used in computer science and finds more and more applications in different fields. However, analyzing brain network with CNN is not ...