Results 11 to 20 of about 1,040,227 (270)
Prediction of Remaining Useful Life of the Lithium-Ion Battery Based on Improved Particle Filtering
Frontiers in Energy Research, 2022 Remaining useful life (RUL) prediction of lithium-ion batteries plays an important role in battery failure prediction and health management (PHM).
Tiezhou Wu +3 more
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GPU accelerated singular value thresholding
SoftwareX, 2023 Matrix completion (MC) is widely used in machine learning and signal processing to fill in the missing data of an incomplete observation matrix. Singular value thresholding (SVT) is one of the most popular algorithms among numerous MC methods.
Xiaotong Li, Karel Adámek, Wes Armour
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Fast singular value thresholding without singular value decomposition [PDF]
Methods and Applications of Analysis, 2013 We are interested in solving the following minimization problem Dτ (Y ) := arg min X∈Rm×n 1 2 ∥Y −X∥F + τ∥X∥∗, where Y ∈ Rm×n is a given matrix, and ∥ ⋅ ∥F is the Frobenius norm and ∥ ⋅ ∥∗ the nuclear norm. This problem serves as a basic subroutine in many popular numerical schemes for nuclear norm minimization problems, which arise from low rank ...
Cai, Jianfeng, Stanley, Osher
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Theoretical and Natural ScienceSingular Value Decomposition (SVD) is a very important matrix factorization technique in linear algebra which generalizes the eigenvalue decomposition to both non square and non symmetric matrices. This report explains the theoretical foundation of SVD by numerical examples and the comparison of SVD with eigenvalue decomposition on the basis of ...
J. Douglas Walker, Noah M. McLean
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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
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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
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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
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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.
Li, Hou-Biao +3 more
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Determinantal inequalities of Hua-Marcus-Zhang type for quaternion matrices
Open Mathematics, 2021 In this paper, the authors extend determinantal inequalities of the Hua-Marcus-Zhang type for positive definite matrices to the corresponding ones for quaternion matrices.
Hong Yan, Qi Feng
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Bound for the largest singular value of nonnegative rectangular tensors
Open Mathematics, 2016 In this paper, we give a new bound for the largest singular value of nonnegative rectangular tensors when m = n, which is tighter than the bound provided by Yang and Yang in “Singular values of nonnegative rectangular tensors”, Front. Math.
He Jun +4 more
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