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Eigenvectors of random matrices: A survey [PDF]

open access: yesJournal of Combinatorial Theory - Series A, 2016
Eigenvectors of large matrices (and graphs) play an essential role in combinatorics and theoretical computer science. The goal of this survey is to provide an up-to-date account on properties of eigenvectors when the matrix (or graph) is random.Comment ...
Van Vu, Ke Wang, Sean O'rourke
exaly   +5 more sources

Arbitrary-Order Sensitivity Analysis of Eigenfrequency Problems with Hypercomplex Automatic Differentiation (HYPAD)

open access: yesApplied Sciences, 2023
The calculation of accurate arbitrary-order sensitivities of eigenvalues and eigenvectors is crucial for structural analysis applications, including topology optimization, system identification, finite element model updating, damage detection, and fault ...
Juan C. Velasquez-Gonzalez   +5 more
doaj   +1 more source

Portfolio Optimization and Random Matrix Theory in Stock Exchange [PDF]

open access: yesمدیریت نوآوری و راهبردهای عملیاتی, 2021
Purpose: This study aimed to optimize the stock portfolio based on stochastic matrix theory in the stock market and to answer whether the relevant information will exist using the Marčenko–Pastur distribution.Methodology: The data of 31 shares in the ...
mostafa heidari haratemeh
doaj   +1 more source

An Improved Kinect Recognition Method for Identifying Unsafe Behaviors of Metro Passengers

open access: yesSensors, 2022
In order to solve the problem of the low action recognition accuracy of passengers’ unsafe behaviors caused by redundant joints, this study proposes an efficient recognition method based on a Kinect sensor.
Ying Lu   +3 more
doaj   +1 more source

Using principal eigenvectors of Laplacian-Plus matrix to identify spreaders of social networks under linear threshold diffusion model [PDF]

open access: yesAUT Journal of Mathematics and Computing, 2022
Influence maximization (IM) is a challenging problem in social networks to identify initial spreaders with the best influence on other nodes. It is a need to solve this problem with the minimum diffusion time and the most coverage on the communities ...
Neda Binesh, Mehdi Ghatee
doaj   +1 more source

Analytical investigation of the delay system with structural matrix having eigenvalues on the unit circle

open access: yesLietuvos Matematikos Rinkinys, 2023
Investigation of the mutual synchronizatin system with delays, composed of n (n= 2p +1, p ∈ N) oscillators joined into a onedirectional ring, is carried out.
Gintarė Leonaitė, Jonas Rimas
doaj   +3 more sources

Controllability of Brain Neural Networks in Learning Disorders—A Geometric Approach

open access: yesMathematics, 2022
The human brain can be interpreted mathematically as a linear dynamical system that shifts through various cognitive regions promoting more or less complicated behaviors. The dynamics of brain neural network play a considerable role in cognitive function
Maria Isabel García-Planas   +1 more
doaj   +1 more source

Minimax bounds for sparse PCA with noisy high-dimensional data [PDF]

open access: yes, 2012
We study the problem of estimating the leading eigenvectors of a high-dimensional population covariance matrix based on independent Gaussian observations.
Birnbaum, Aharon   +3 more
core   +4 more sources

Global Persistence of the Unit Eigenvectors of Perturbed Eigenvalue Problems in Hilbert Spaces: The Odd Multiplicity Case

open access: yesMathematics, 2021
We study the persistence of eigenvalues and eigenvectors of perturbed eigenvalue problems in Hilbert spaces. We assume that the unperturbed problem has a nontrivial kernel of odd dimension and we prove a Rabinowitz-type global continuation result.
Pierluigi Benevieri   +3 more
doaj   +1 more source

Dynamics of a Flexible Roof Test Model under Ambient Vibrations Measurements

open access: yesApplied Sciences, 2023
Flexible roofs are sensitive to wind actions because they are light, and their deformability can induce local or global instability. In most cases, their design requires experimental wind tunnel testing to investigate the aeroelastic phenomena and the ...
Fabio Rizzo   +7 more
doaj   +1 more source

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