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A Robust MZI-Based Optical Neural Network Using QR Decomposition

Journal of Lightwave Technology
In 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
semanticscholar   +1 more source

Dataflow Systolic Array Implementations of Exploring Dual-Triangular Structure in QR Decomposition Using High-Level Synthesis

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
semanticscholar   +1 more source

Generalizations of the Singular Value and QR-Decompositions

SIAM Journal on Matrix Analysis and Applications, 1992
The 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
openaire   +2 more sources

An asymmetric image encryption mechanism using QR decomposition in hybrid multi-resolution wavelet domain

, 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
semanticscholar   +1 more source

Temperature-field reconstruction algorithm based on reflected sigmoidal radial basis function and QR decomposition

, 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
semanticscholar   +1 more source

Improving in-home appliance identification using fuzzy-neighbors-preserving analysis based QR-decomposition

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
semanticscholar   +1 more source

Hardware Efficient QR Decomposition for GDFE

2007 IEEE Workshop on Signal Processing Systems, 2007
This 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
openaire   +1 more source

Sparse QR Decomposition

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
openaire   +1 more source

Communication-Avoiding QR Decomposition for GPUs

2011 IEEE International Parallel & Distributed Processing Symposium, 2011
We 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
openaire   +1 more source

A Componentwise Perturbation Analysis of the $QR$ Decomposition

SIAM Journal on Matrix Analysis and Applications, 1993
A 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.
openaire   +2 more sources

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