Matrix Decomposition
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Recent papers in Matrix Decomposition
In this paper, the problem of constructing an efficient quantum circuit for the implementation of an arbitrary quantum computation is addressed. To this end, a basic block based on the cosine-sine decomposition method is suggested which... more
Statistical learning theory explores ways of estimating functional dependency from a given collection of data. The specific sub-area of supervised statistical learning covers important models like Perceptron, Support Vector Machines (SVM)... more
A number of parallel formulations of dense matrix multiplication algorithm have been developed. For arbitrarily large number of processors, any of these algorithms or their variants can provide near linear speedup for sufficiently large... more
T I. INTRODUCTION HIS paper deals with some mathematical aspects of the discrete Fourier transform (DFT), studied with linear algebra and matrix theory methods. The vast majority of papers on the DFT have concerned computational issues,... more
Non-negative matrix factorization (NMF) is a relatively new method of matrix decomposition which factors an m by n data matrix X into an m by k matrix W and a k by n matrix H, so that X = W * H. Importantly, all values in X, W, and H are... more
Modularity refers to the use of common units to create product variants. This paper aims at the development of models and solution approaches to the modularity problem for mechanical, electrical, and mixed process products (e.g.,... more
Generalized Clifford algebras (GCAs) and their physical applications were extensively studied for about a decade from 1967 by Alladi Ramakrishnan and his collaborators under the name of L-matrix theory. Some aspects of GCAs and their... more
Spectral unmixing is an important tool in hyperspectral data analysis for estimating endmembers and abundance fractions in a mixed pixel. This paper examines the applicability of a recently developed algorithm called graph regularized... more
A 2D discrete cosine transform implementation on FPGA, using polynomial transformation algorithm on two dimensions is presented. The precision and area results are reported to be compared with the classical row-column implementation.... more
Watermarking is considered as a kind of proper information hiding for respecting copyright and preventing the illegal information copy. Indeed, watermarking provides the data owner's address with the audio and video data. To respect the... more