Results 11 to 20 of about 1,179,942 (315)

Givens rotations for QR decomposition, SVD and PCA over database joins [PDF]

open access: yesThe VLDB journal, 2022
This article introduces FiGaRo, an algorithm for computing the upper-triangular matrix in the QR decomposition of the matrix defined by the natural join over relational data.
Dan Olteanu   +2 more
semanticscholar   +5 more sources

An asymptotic behavior of QR decomposition

open access: yesLinear Algebra and its Applications, 2007
The \(QR\) decomposition of a nonsingular \(X\in\mathbb{C}_{n\times n}\) asserts that \(X=QR\), where \(Q\in\mathbb{C}_{n\times n}\) is unitary and \(R\in\mathbb{C}_{n\times n}\) is upper triangular with positive diagonal entries, and the decomposition is unique. Given a matrix \(A\in\mathbb{C}_{n\times n}\), let \(A(i| j)\) denote the submatrix formed
Huang, Huajun, Tam, Tin-Yau
openaire   +2 more sources

Audio and image encryption scheme based on QR decomposition and random modulus decomposition in Fresnel domain

open access: yesOptica Applicata, 2022
In this paper, an asymmetric audio and image encryption mechanism using QR decomposition and random modulus decomposition (RD) in the Fresnel domain is proposed. The audio file is recorded as a vector and converted to a two-dimensional array to act as an
S. Anjana   +3 more
semanticscholar   +2 more sources

A Fast and Accurate Matrix Completion Method Based on QR Decomposition and $L_{2,1}$ -Norm Minimization

open access: yesIEEE Transactions on Neural Networks and Learning Systems, 2019
Low-rank matrix completion aims to recover matrices with missing entries and has attracted considerable attention from machine learning researchers. Most of the existing methods, such as weighted nuclear-norm-minimization-based methods and Qatar Riyal ...
Qing Liu   +5 more
semanticscholar   +2 more sources

Smooth QR Decomposition of Polynomial Matrices [PDF]

open access: yes2023 IEEE 9th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP), 2023
This paper presents a novel algorithm for determining a compact order QR decomposition of a polynomial matrix, where both the Q and R factors themselves are approximated by polynomial matrices.
Khattak, Faizan A.   +3 more
openaire   +3 more sources

Flood Forecasting Method Based on Improved VMD-FOS-QR-RBL

open access: yesIEEE Access, 2023
To improve the accuracy, reliability and validity of flood prediction models, this study proposes a regularized broad learning (RBL) model based on an improved variational mode decomposition (VMD).
Yang Liu   +4 more
doaj   +1 more source

LU-Cholesky QR algorithms for thin QR decomposition [PDF]

open access: yesParallel Computing, 2020
Abstract This paper aims to propose the LU-Cholesky QR algorithms for thin QR decomposition (also called economy size or reduced QR decomposition). CholeskyQR is known as a fast algorithm employed for thin QR decomposition, and CholeskyQR2 aims to improve the orthogonality of a Q-factor computed by CholeskyQR. Although such Cholesky QR algorithms can
Takeshi Terao   +2 more
openaire   +1 more source

Drought Prediction Method Based on an Improved CEEMDAN-QR-BL Model

open access: yesIEEE Access, 2021
In this study, a new broad learning (BL) model based on an improved complete ensemble empirical mode decomposition adaptive noise (CEEMDAN) is proposed to resolve the low accuracy, poor robustness, and long delay problems that are present in current ...
Yang Liu, Lihu Wang
doaj   +1 more source

Givens QR Decomposition over Relational Databases [PDF]

open access: yes, 2022
This paper introduces Figaro, an algorithm for computing the upper-triangular matrix in the QR decomposition of the matrix defined by the natural join over a relational database. The QR decomposition lies at the core of many linear algebra techniques and
Olteanu, Dan; https://orcid.org/   +2 more
core   +1 more source

Consideration of a robust watermarking algorithm for color image using improved QR decomposition

open access: yesSoft Computing - A Fusion of Foundations, Methodologies and Applications, 2021
In order to protect the digital image copyright, it is necessary to design a robust watermarking algorithm. To achieve this purpose, a novel color image watermarking scheme based on an improved QR decomposition is proposed in this paper.
Phuong Thi Nha   +2 more
semanticscholar   +1 more source

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