Results 31 to 40 of about 14,787 (152)
On Differentiating Eigenvalues and Eigenvectors [PDF]
Econometric Theory, 1985 Let X0 be a square matrix (complex or otherwise) and u0 a (normalized) eigenvector associated with an eigenvalue λo of X0, so that the triple (X0, u0, λ0) satisfies the equations Xu = λu, . We investigate the conditions under which unique differentiable functions λ(X) and u(X) exist in a neighborhood of X0 satisfying λ(X0) = λO, u(X0) = u0, Xu = λu ...
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Node eigenvector centrality boxplots.
, 2023 From the upper part of the figure: (a) average centrality values of all the nodes of the S proteins of the selected variants as boxplots; (b) the eigenvector centrality values for nodes of the functional domain (Omicron1 variant); (c) eigenvector ...
Ugo Lomoio (16624608) +4 more
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Sparse eigenvectors of graphs [PDF]
2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2017 In order to analyze signals defined over graphs, many concepts from the classical signal processing theory have been extended to the graph case. One of these concepts is the uncertainty principle, which studies the concentration of a signal on a graph and its graph Fourier basis (GFB).
Teke, Oguzhan, Vaidyanathan, P. P.
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, 2021 Descriptive statistics, with Wilcoxon signed rank test comparing overall eigenvector centrality with last month eigenvector centrality.
Benjamin Campbell (36460) +3 more
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Some Properties of SINR Regions for Standard Interference Mappings
SICE Journal of Control, Measurement, and System Integration, 2020 In 1995, Yates proposed an axiomatic framework of standard interference mappings and examined the iterative power control algorithm for a system with interference constraints.
Susumu Shindoh
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Dynamic Response of the Inertial Platform of the Laser ELI-NP Magurele-Bucharest Facility
Mathematics, 2022 Previous studies on the vibrational behavior of the inertial platform installed at ELI-NP, in Magurele-Bucharest have reported eigenfrequencies in the domain in which excitations can occur from earthquakes which manifests itself periodically in this ...
Calin Itu +7 more
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Journal of Statistical Mechanics: Theory and ExperimentAbstract Among the performance-enhancing procedures for Hopfield-type networks that implement associative memory, Hebbian unlearning (HU) (or dreaming) strikes for its simplicity and lucid biological interpretation. However, it does not easily lend to a clear analytical understanding.
Benedetti, Marco +3 more
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Eigenvector Dynamics under Free Addition
, 2014 We investigate the evolution of a given eigenvector of a symmetric (deterministic or random) matrix under the addition of a matrix in the Gaussian orthogonal ensemble.
Allez, Romain, Bouchaud, Jean-Philippe
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, 2020 Eigenvector alignment uses the dominant system eigenvectors to assess structural changes in a network, as described in the article "Eigenvector alignment: assessing functional network changes in amnestic mild cognitive impairment and Alzheimer's disease"
RuaridhClark
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Estimating network dimension when the spectrum struggles
Royal Society Open ScienceWhat is the dimension of a network? Here, we view it as the smallest dimension of Euclidean space into which nodes can be embedded so that pairwise distances accurately reflect the connectivity structure.
Peter Grindrod +2 more
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