Results 21 to 30 of about 138,886 (308)
General Relativity and Gravitation, 1995 5 pages, no figures; a few clarifying comments ...
Horowitz, Gary T., Myers, Robert
openaire +2 more sources
Balanced Realization and Model Order Reduction for Nonlinear Systems Based on Singular Value Analysis [PDF]
, 2004 This paper discusses balanced realization and model order reduction for both continuous-time and discrete-time general nonlinear systems based on singular value analysis of the corresponding Hankel operators.
Fujimoto, Kenji +6 more
core +1 more source
Privacy-Preserving Federated Singular Value Decomposition
Applied Sciences, 2023 Singular value decomposition (SVD) is a fundamental technique widely used in various applications, such as recommendation systems and principal component analyses.
Bowen Liu, Balázs Pejó, Qiang Tang
doaj +1 more source
The General Linear Model and the Generalized Singular Value Decomposition [PDF]
, 2009 The general linear model with correlated error variables can be transformed by means of the generalized singular value decomposition to a very simple model (canonical form) where the least squares solution is obvious.
Knüsel, Leo
core +1 more source
Perturbation bounds for eigenvalues of diagonalizable matrices and singular values
Journal of Inequalities and Applications, 2016 Perturbation bounds for eigenvalues of diagonalizable matrices are derived. Perturbation bounds for singular values of arbitrary matrices are also given. We generalize some existing results.
Duanmei Zhou +3 more
doaj +1 more source
The General Linear Model and the Generalized Singular Value Decomposition; Some Examples [PDF]
, 2009 The general linear model with correlated error variables can be transformed by means of the generalized singular value decomposition to a very simple model (canonical form) where the least squares solution is obvious.
Knüsel, Leo
core +1 more source
Singularity, Wielandt’s lemma and singular values
Journal of Computational and Applied Mathematics, 2010 The authors obtain some upper and lower bounds for the largest and the smallest singular values of certain complex matrices based on the entries and diagonal dominance. A relationship between largest singular value of a block matrix and its block norm matrix is obtained. Numerical examples are given to demonstrate the usefulness of their results.
Hou-Biao Li +3 more
openaire +2 more sources
IEEE Open Journal of the Industrial Electronics Society, 2021 Voltage-source rectifiers (VSRs) have been widely used in modern power grids. The inductive grid impedance of the power grid poses a serious threat to the stability of the VSR.
Kai Wang +3 more
doaj +1 more source
Singular Values for ReLU Layers [PDF]
IEEE Transactions on Neural Networks and Learning Systems, 2020 Despite their prevalence in neural networks we still lack a thorough theoretical characterization of ReLU layers. This paper aims to further our understanding of ReLU layers by studying how the activation function ReLU interacts with the linear component of the layer and what role this interaction plays in the success of the neural network in achieving
Sören Dittmer +2 more
openaire +3 more sources
The singular values of the GOE
Random Matrices: Theory and Applications, 2015 As a unifying framework for examining several properties that nominally involve eigenvalues, we present a particular structure of the singular values of the Gaussian orthogonal ensemble (GOE): the even-location singular values are distributed as the positive eigenvalues of a Gaussian ensemble with chiral unitary symmetry, while the odd-location ...
Bornemann, Folkmar, La Croix, Michael
openaire +3 more sources