Results 51 to 60 of about 198,875 (210)
How can we naturally order and organize graph Laplacian eigenvectors?
, 2018 When attempting to develop wavelet transforms for graphs and networks, some researchers have used graph Laplacian eigenvalues and eigenvectors in place of the frequencies and complex exponentials in the Fourier theory for regular lattices in the ...
Saito, Naoki
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Ekológia (Bratislava), 2016 In this study, we used bootstrap simulation of a real data set to investigate the impact of sample size (N = 20, 30, 40 and 50) on the eigenvalues and eigenvectors resulting from principal component analysis (PCA).
Shaukat S. Shahid +2 more
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A Globally Convergent MCA Algorithm by Generalized Eigen-Decomposition [PDF]
International Journal of Computational Intelligence Systems, 2011 Minor component analysis (MCA) are used in many applications such as curve and surface fitting, robust beam forming, and blind signal separation. Based on the generalized eigen-decomposition, we present a completely different approach that leads to ...
Jianbin Gao, Mao Ye, Jianping Li, Qi Xia
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New approach to finding eigenvectors for repeated eigenvalues of a matrix
Sistemnì Doslìdženâ ta Informacìjnì TehnologìïAn efficient method of calculating eigenvectors for multiple eigenvalues of a matrix is proposed. This method is based on a formalized transformation of the problem of solving degenerate systems of equations into a regular problem by “repairing” their ...
Anatolii Petrenko
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Estimating Angle of Arrival and Output Signals to Noise Ratio for Wideband Signals [PDF]
Engineering and Technology Journal, 2016 Multiple Signal Classification (MUSIC) algorithm is the most popular algorithm to estimate angle of arrival (AOA) for narrowband signals. This algorithm is based on the use of subspace noise Eigenvectors (Q_n) matrix related to the smallest set of Eigen ...
Bassim Sayed Mohammed
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Algebraic Bethe Ansatz for spinor R-matrices
SciPost Physics, 2022 We present a supermatrix realisation of $q$-deformed spinor-spinor and spinor-vector $R$-matrices. These $R$-matrices are then used to construct transfer matrices for $U_{q^2}(\mathfrak{so}_{2n+1})$- and $U_{q}(\mathfrak{so}_{2n+2})$-symmetric closed ...
Vidas Regelskis
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Analytic Solutions to Reflection-Transmission Problem of Interface in Anisotropic Ice Sheet
International Journal of Antennas and Propagation, 2020 The rheology and evolution of the polar ice sheet are deeply influenced by the anisotropy of ice crystals. Studying the anisotropy of ice crystals can help to well understand and predict the behavior of the polar ice sheet and then the sea level rising ...
Bangbing Wang, Honkuan Wong
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The Spectrum and Eigenvectors of the Laplacian Matrices of the Brualdi-Li Tournament Digraphs
Journal of Applied Mathematics, 2014 Let m≥1 be an integer, let ℬ2m denote the Brualdi-Li matrix of order 2m, and let ℒℬ2m denote the Laplacian matrices of Brualdi-Li tournament digraphs. We obtain the eigenvalues and eigenvectors of ℒℬ2m.
Xiaogen Chen
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Spectral pruning of fully connected layers
Scientific Reports, 2022 Training of neural networks can be reformulated in spectral space, by allowing eigenvalues and eigenvectors of the network to act as target of the optimization instead of the individual weights.
Lorenzo Buffoni +4 more
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Eigenvectors of block circulant and alternating circulant matrices [PDF]
, 2005 The eigenvectors and eigenvalues of block circulant matrices had been found for real symmetric matrices with symmetric submatrices, and for block circulant matrices with circulant submatrices. The eigenvectors are now found for general block circulant
Tee, Garry J.
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