Department of Mathematics, Taiyuan University of Technology, Staff Education and Training Center of Taiyuan Iron and Steel (Group) Co., Ltd., Taiyuan, China. It is an interesting problem to study the ...
Abstract: This paper deals with the multiplicative finite-field matrix channel, a discrete memoryless channel whose input and output are matrices (over a finite field) related by a multiplicative ...
Abstract: Multiplicative updates have been widely used in approximative nonnegative matrix factorization (NMF) optimization because they are convenient to deploy. Their convergence proof is usually ...
The rationale for multiplicative models in the context of MTMM covariance matrices, as developed by Swain and Browne, is described and illustrated with several sets of empirical data. Comparisons with ...
ABSTRACT: In this paper, a series of bicomplex representation methods of quaternion division algebra is introduced. We present a new multiplication concept of quaternion matrices, a new determinant ...
Reduced rank approximation of matrices by Householder-Young methods is shown to be equivalent to fitting of a bilinear (multiplicative) model and to projection onto an optimally chosen subspace. The ...
A Non-Negative Matrix Factorization (NMF) pipeline implemented in Rust for my dissertation, featuring preprocessing, optimized multiplicative updates, and performance benchmarking. Designed for ...
Let H be the quantum double of a Nichols algebra of diagonal type. We compute the R-matrix of 3-tuples of modules for general finite-dimensional highest weight modules over H. We also calculate a ...
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