Results 21 to 30 of about 607,065 (288)

Singular vectors of the WA2 algebra [PDF]

open access: yesPhysics Letters B, 1994
10 pages, LaTeX with 3 figures in ...
openaire   +4 more sources

Singular vectors for the WN algebras [PDF]

open access: yesJournal of Mathematical Physics, 2018
In this paper, we use free field realisations of the A-type principal, or Casimir, WN algebras to derive explicit formulae for singular vectors in Fock modules. These singular vectors are constructed by applying screening operators to Fock module highest weight vectors. The action of the screening operators is then explicitly evaluated in terms of Jack
David Ridout, Steve Siu, Simon Wood
openaire   +4 more sources

Clustering, multicollinearity, and singular vectors

open access: yesComputational Statistics & Data Analysis, 2022
Let $A$ be a matrix with its pseudo-matrix $A^{\dagger}$ and set $S=I-A^{\dagger}A$. We prove that, after re-ordering the columns of $A$, the matrix $S$ has a block-diagonal form where each block corresponds to a set of linearly dependent columns. This allows us to identify redundant columns in $A$.
openaire   +3 more sources

Reseaech on identification of caving coal and rock traits

open access: yesGong-kuang zidonghua, 2017
In order to recognize caving coal and rock traits in fully mechanized caving face, an identification method based on continuous wavelet transform and improved singular value decomposition (SVD) was proposed.
LI Yiming, FU Shichen, LI Rui, WU Miao
doaj   +1 more source

On the Compressibility of Affinely Singular Random Vectors [PDF]

open access: yes2020 IEEE International Symposium on Information Theory (ISIT), 2020
There are several ways to measure the compressibility of a random measure; they include the general rate-distortion curve, as well as more specific notions such as Renyi information dimension (RID), and dimensional-rate bias (DRB). The RID parameter indicates the concentration of the measure around lower-dimensional subsets of the space while the DRB ...
Mohammad-Amin Charusaie   +2 more
openaire   +6 more sources

Efficient Pixel-Wise SVD Required for Image Processing Using the Color Line Feature

open access: yesIEEE Access, 2021
In color image processing based on mathematical optimization, a color-line image feature has been considered and many methods that give good results have been proposed.
Keiichiro Shirai   +3 more
doaj   +1 more source

On singularities of discontinuous vector fields

open access: yesBulletin des Sciences Mathématiques, 2003
The paper is concerned with the classification of typical singularities for a class of four-dimensional discontinuous vector fields. Being inspired by the work of \textit{D. V. Anosov} [Autom. Remote Control 20, 130--143 (1959; Zbl 0093.09204)], the authors consider the semilinear vector field \(L_{a},\) \(a\in\mathbb{R},\) \[ x_{2}\frac{\partial ...
Jacquemard, Alain   +1 more
openaire   +1 more source

An Innate Moving Frame on Parametric Surfaces: The Dynamics of Principal Singular Curves

open access: yesMathematics, 2023
This article reports an experimental work that unveils some interesting yet unknown phenomena underneath all smooth nonlinear maps. The findings are based on the fact that, generalizing the conventional gradient dynamics, the right singular vectors of ...
Moody T. Chu, Zhenyue Zhang
doaj   +1 more source

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