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 ...