GitHub

Unlocking the matrix form of the Quaternion Fourier Transform and Quaternion Convolution: Properties, connections, and application to Lipschitz constant bounding

TL;DR: We show how the relation of convolution, circulant matrices and the Fourier transform generalizes to the quaternionic domain. A Lipschitz constant bounding application acts as a ...
GitHub

Matrix Operations and Convolution

This project is a C program that performs various matrix operations, including the generation of random matrices, calculation of matrix traces, and 2D convolution. The program allows users to input ...
IEEE

A matrix theory proof of the discrete convolution theorem

Abstract: In this paper we prove the discrete convolution theorem by means of matrix theory. The proof makes use of the diagonalization of a circulant matrix to show that a circular convolution is ...
Frontiers

A novel end-to-end learning framework for inferring lncRNA-disease associations based on convolution neural network

Introduction: In recent years, lots of computational models have been proposed to infer potential lncRNA-disease associations. Methods: In this manuscript, we introduced a novel end-to-end learning ...
Frontiers

A physical virtual multi-graph convolutional coordinated prediction method for spatio-temporal electricity loads integrating multi-dimensional information

Traditional load prediction methods are unable to effectively predict the loads according to the spatial topology of each electricity consumer in neighboring areas and the load dependency correlations ...