Clustering, multicollinearity, and singular vectors
Computational 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
Singular Higher Order Divergence-Conforming Bases of Additive Kind and Moments Method Applications to 3D Sharp-Wedge Structures [PDF]
, 2008 We present new subsectional, singular divergence conforming vector bases that incorporate the edge conditions for conducting wedges. The bases are of additive kind because obtained by incrementing the regular polynomial vector bases with other ...
GRAGLIA, Roberto +2 more
core +1 more source
Nature of the Poynting Vector Field Singularities in Resonant Light Scattering by Nanoparticles
Nanomaterials, 2022 Singularities of the Poynting vector field subwavelength patterns in resonant light scattering by nanoparticles are discussed and classified. There are two generic types of the singularities, namely, (i) the singularities related to the vanishing of the ...
Michael I. Tribelsky +1 more
doaj +1 more source
Theoretical Foundations of Digital Content Integrity Expertise [PDF]
Problems of the Regional EnergeticsIn the context of the rapid development of information technologies, their implementation in the process of functioning of critical infrastructure, in particular energy, of any state is extreme-ly relevant.
Bobok I.I., Kobozieva A.A.
doaj +1 more source
Anchor Fault Identification Method for High-Voltage DC Submarine Cable Based on VMD-Volterra-SVM
Energies, 2023 This article introduces a new method for identifying anchor damage faults in fiber composite submarine cables. The method combines the Volterra model of Variation Mode Decomposition (VMD) with singular value entropy to improve the accuracy of fault ...
Wenwei Zhu +6 more
doaj +1 more source
Singular vectors of the Virasoro algebra [PDF]
Physics Letters B, 1991 15 ...
openaire +2 more sources
Stability of singular jump-linear systems with a large state space : a two-time-scale approach [PDF]
, 2012 This paper considers singular systems that involve both continuous dynamics and discrete events with the coefficients being modulated by a continuous-time Markov chain. The underlying systems have two distinct characteristics.
Yuan, Chenggui +3 more
core +4 more sources
On the Compressibility of Affinely Singular Random Vectors [PDF]
2020 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
Banach Spaces of Analytic Vector-valued Functions [PDF]
, 2007 The main theme of the thesis is the study of continuity and approximation problems, involving matrix-valued and vector-valued Hardy spaces on the unit disc ID and its boundary T in the complex plane.
Barclay, Steven John
core +7 more sources
CMA Global Ensemble Prediction Using Singular Vectors from Background Field
应用气象学报, 2022 China Meteorological Administration Global Ensemble Prediction System (CMA-GEPS) adopts singular vector method to generate initial perturbations.
Huo Zhenhua +3 more
doaj +1 more source