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Singular Vector Perturbation Under Gaussian Noise [PDF]

open access: yesSIAM Journal on Matrix Analysis and Applications, 2015
We perform a non-asymptotic analysis on the singular vector distribution under Gaussian noise. In particular, we provide sufficient conditions on a matrix for its first few singular vectors to have near normal distribution. Our result can be used to facilitate the error analysis in linear dimension reduction.
Rongrong Wang
exaly   +5 more sources

Universal Method for Detecting Violations in the Integrity of a Digital Image Based on Analysis of Blocks of its Matrix [PDF]

open access: yesProblems of the Regional Energetics, 2023
The requirement to provide the content expertise (particularly digital video) in real time is be-coming critical. Thus, the aim of the work is to increase the efficiency of identifying the fact of violation of image integrity by developing a universal ...
Bobok I., Kobozeva A.
doaj   +1 more source

Development of a New Approach to the Problem of Detecting the Integrity Violations of a Digital Image [PDF]

open access: yesProblems of the Regional Energetics, 2023
The energy sector is an integral part of the critical infrastructure of any state and is particularly sensitive to the quality of information security systems.
Bobok I., Kobozeva A.
doaj   +1 more source

A basis of common approach to the development of universal steganalysis methods for digital images

open access: yesTrudy Odesskogo Politehničeskogo Universiteta, 2014
In this paper a new common approach to the organization of steganalysis in digital images is developed. New features of formal parameters defining the image are identified, theoretically grounded and practically tested.
Алла Анатоліївна Кобозєва
doaj   +7 more sources

Holomorphic vector fields tangent to foliations in dimension three

open access: yesAnais da Academia Brasileira de Ciências, 2021
We consider a singular holomorphic vector field in a neighborhood of 0 ∈ C 3and suppose that there is a singular holomorphic foliation of codimension one (outside its singular set, given by a holomorphic decomposition of this neighborhood into ...
DANÚBIA JUNCA, ROGÉRIO MOL
doaj   +1 more source

Singular Vectors From Singular Values

open access: yesCoRR, 2020
8 ...
Weiwei Xu, Michael K. Ng 0001
openaire   +2 more sources

Dimensionality reduction using singular vectors [PDF]

open access: yesScientific Reports, 2021
AbstractA common problem in machine learning and pattern recognition is the process of identifying the most relevant features, specifically in dealing with high-dimensional datasets in bioinformatics. In this paper, we propose a new feature selection method, called Singular-Vectors Feature Selection (SVFS).
Majid Afshar, Hamid Usefi
openaire   +3 more sources

Ensemble singular vectors and their use as additive inflation in EnKF [PDF]

open access: yesTellus: Series A, Dynamic Meteorology and Oceanography, 2015
Given an ensemble of forecasts, it is possible to determine the leading ensemble singular vector (ESV), that is, the linear combination of the forecasts that, given the choice of the perturbation norm and forecast interval, will maximise the growth of ...
Shu-Chih Yang   +2 more
doaj   +1 more source

Singularity Problem for Interacting Massive Vectors

open access: yesPhysical Review Letters, 2022
Interacting massive spin-1 fields have been widely used in cosmology and particle physics. We obtain a new condition on the validity of the classical limit of these theories related to the non-trivial constraints that exist for vector field components.
Zong-Gang Mou, Hong-Yi Zhang
openaire   +3 more sources

Enhanced Root-MUSIC Algorithm Based on Matrix Reconstruction for Frequency Estimation

open access: yesSensors, 2023
In recent years, frequency-modulated continuous wave (FMCW) radar has been widely used in automatic driving, settlement monitoring and other fields. The range accuracy is determined by the estimation of the signal beat frequency.
Yingjie Zhu   +3 more
doaj   +1 more source

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