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A Robust MZI-Based Optical Neural Network Using QR Decomposition
Journal of Lightwave TechnologyIn this paper, a robust MZI-based optical neural network using QR decomposition is proposed and investigated. To construct optical linear unit, (N2+N)/2 MZIs are required to achieve N × N weight matrix W in the case of QR decomposition, while in the case
Jian Lin +9 more
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International Conference on Field-Programmable Technology, 2021
Tall and skinny QR (TSQR) decomposition is an essential matrix operation with various applications in edge computing, including data compression, subspace projection, and dimension reduction.
Siyang Jiang +2 more
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Tall and skinny QR (TSQR) decomposition is an essential matrix operation with various applications in edge computing, including data compression, subspace projection, and dimension reduction.
Siyang Jiang +2 more
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Generalizations of the Singular Value and QR-Decompositions
SIAM Journal on Matrix Analysis and Applications, 1992The authors present multimatrix generalizations of some well-known orthogonal rank factorizations and show how the idea of a QR- decomposition (QRD), a URV- decomposition (URVD), and a singular value decomposition (SVD), which has become an important tool in the analysis and numerical solution of numerous problems, especially since the development of ...
Bart De Moor, Paul Van Dooren
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, 2020
In this paper, an asymmetric image encryption mechanism using QR decomposition technique in hybrid multi-resolution wavelet (HMW) domain is presented.
Pankaj Rakheja, Phool Singh, R. Vig
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In this paper, an asymmetric image encryption mechanism using QR decomposition technique in hybrid multi-resolution wavelet (HMW) domain is presented.
Pankaj Rakheja, Phool Singh, R. Vig
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, 2020
Information on temperature-field distribution can reflect the combustion state within utility boiler furnaces, which is conducive for the formulation of control strategies to ensure safe boiler operation; therefore, it is significant for the realization ...
Xinzhi Zhou +3 more
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Information on temperature-field distribution can reflect the combustion state within utility boiler furnaces, which is conducive for the formulation of control strategies to ensure safe boiler operation; therefore, it is significant for the realization ...
Xinzhi Zhou +3 more
semanticscholar +1 more source
arXiv.org, 2020
This paper proposes a new appliance identification scheme by introducing a novel approach for extracting highly discriminative characteristic sets that can considerably distinguish between various appliance footprints.
Yassine Himeur +3 more
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This paper proposes a new appliance identification scheme by introducing a novel approach for extracting highly discriminative characteristic sets that can considerably distinguish between various appliance footprints.
Yassine Himeur +3 more
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Hardware Efficient QR Decomposition for GDFE
2007 IEEE Workshop on Signal Processing Systems, 2007This paper presents a QR decomposition core by exploiting Givens rotation for the generalized decision feedback equalizer (GDFE). A Givens rotation consists of phase extraction, sine/cosine generation and angle rotation parts. Combining the fixed-width modified-Booth multiplier and two-stage method (coarse and fine stage), we design an efficient QR ...
Kyung-Ju Cho, Yi-Nan Xu, Jin-Gyun Chung
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2002
QR decomposition of a large sparse matrix is used to solve the linear least squares (LS) problem arising in power system state estimation. It can also be used to estimate rank of matrix (rank revealing QR decomposition). Its utility arises from the numerical stability offered by orthogonal transformations. In addition, a linear system of equations Ax =
S. A. Soman +2 more
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QR decomposition of a large sparse matrix is used to solve the linear least squares (LS) problem arising in power system state estimation. It can also be used to estimate rank of matrix (rank revealing QR decomposition). Its utility arises from the numerical stability offered by orthogonal transformations. In addition, a linear system of equations Ax =
S. A. Soman +2 more
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Communication-Avoiding QR Decomposition for GPUs
2011 IEEE International Parallel & Distributed Processing Symposium, 2011We describe an implementation of the Communication-Avoiding QR (CAQR) factorization that runs entirely on a single graphics processor (GPU). We show that the reduction in memory traffic provided by CAQR allows us to outperform existing parallel GPU implementations of QR for a large class of tall-skinny matrices.
Michael J. Anderson +3 more
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A Componentwise Perturbation Analysis of the $QR$ Decomposition
SIAM Journal on Matrix Analysis and Applications, 1993A componentwise perturbation analysis of the QR decomposition is given. The bounds derived are invariant under column scaling of the underlying matrix. The results are applied to assess the accuracy of the computed QR decomposition using Householder transformations.
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