Results 141 to 150 of about 1,101,519 (253)
Collaborative clustering is an ensemble technique that enhances clustering performance by simultaneously and synergistically processing multiple data dimensions or tasks.
Jing Han, Linzhang Lu
doaj +1 more source
On The Frobenius Norm of Commutators Involving Exponential Matrices
In this paper, we first establish a different generalization of the equality proposed by Farhadian for iterated exponentials with the matrix J_n, where J_n is an n×n matrix with all entries equal to 1. Then, using this new generalization, we derive commutator identities involving iterated exponential matrices.
Ahmet Öksüz, Süleyman Solak
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ABSTRACT In this paper, we assess the performance of adaptive and nested factorized sparse approximate inverses as smoothers in multilevel V‐cycles, when smoothing is performed following the Chebyshev iteration of the fourth kind, for the efficient solution of linear systems arising from a conforming discretization of higher‐order partial differential ...
Pablo Jiménez Recio +1 more
wiley +1 more source
Row‐Aware Randomized SVD With Applications
ABSTRACT The randomized singular value decomposition proposed in [28] has certainly become one of the most well‐established randomization‐based algorithms in numerical linear algebra. The key ingredient of the entire procedure is the computation of a subspace which is close to the column space of the target matrix A∈ℝm×n$$ \mathbf{A}\in {\mathbb{R}}^{m\
Davide Palitta, Sascha Portaro
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A Novel Mixed‐Hybrid, Higher‐Order Accurate Formulation for Kirchhoff–Love Shells
ABSTRACT This paper presents a novel mixed‐hybrid finite element formulation for Kirchhoff–Love shells, designed to enable the use of standard C0$C^0$‐continuous higher‐order Lagrange elements. This is possible by introducing the components of the moment tensor as a primary unknown alongside the displacement vector, circumventing the need for C1$C^1 ...
Jonas Neumeyer, Thomas‐Peter Fries
wiley +1 more source
Regularized K-Means Clustering via Fully Corrective Frank-Wolfe Optimization
Clustering high-dimensional data remains challenging because traditional k-means is sensitive to noise, outliers, and high dimensionality, often leading to unstable performance.
Ahmed Yacoub Yousif, Basad Al-Sarray
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Toward an Efficient Shifted Cholesky QR for Applications in Model Order Reduction Using pyMOR
ABSTRACT Many model order reduction (MOR) methods rely on the computation of an orthonormal basis of a subspace onto which the large full order model is projected. Numerically, this entails the orthogonalization of a set of vectors. The nature of the MOR process imposes several requirements for the orthogonalization process.
Maximilian Bindhak +2 more
wiley +1 more source
Toward a Mixed‐Precision ADI Method for Lyapunov Equations
ABSTRACT We apply mixed‐precision to the low‐rank Lyapunov ADI (LR‐ADI) by performing certain aspects of the algorithm in a lower working precision. Namely, we accumulate the overall solution, solve the linear systems comprising the ADI iteration, and store the inner low‐rank factors of the residuals in various combinations of IEEE 754 single and ...
Jonas Schulze, Jens Saak
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A remark on “Inequalities for the Frobenius norm” [PDF]
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Network monitoring is fundamental to effective traffic engineering (TE) in quantum networks and although nondestructive techniques such as weak measurement, quantum non‐demolition (QND) measurement, and protective measurement have been proposed, their roles in supporting TE have not been systematically examined. This paper proposes a unified analytical
Joachim Notcker +4 more
wiley +1 more source

