Results 111 to 120 of about 2,074 (253)
A note on the span of Hadamard products of vectors
, 2008 We give a new proof of Theorem 6 in [L. Qiu and X. Zhan, On the span of Hadamard products of vectors, Linear Algebra Appl. 422 (2007) 304–307]
Tanaka, Hajime, Hajime Tanaka
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ANPGT: Towards Adaptive Node Property Extraction and Integration
CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT Graph transformers (GTs) with elaborate positional/structural encodings (PEs/SEs) have excelled in graph representation learning, especially in graph‐level tasks. However, their potential in large‐scale node classification remains untapped for several reasons: (i) Current PEs/SEs are insufficient in modelling large‐scale real‐world graphs ...
Qin Chen +4 more
wiley +1 more source
On the spectral norms of r-circulant matrices with the biperiodic Fibonacci and Lucas numbers
Journal of Inequalities and Applications, 2017 In this paper, we present new upper and lower bounds for the spectral norms of the r-circulant matrices Q=Cr((ba)ξ(1)2q0,(ba)ξ(2)2q1,(ba)ξ(3)2q2,…,(ba)ξ(n)2qn−1) $Q=C_{r} ( (\frac{b}{a} )^{\frac{\xi (1)}{2}}q_{0}, (\frac{b}{a} )^{\frac{\xi(2)}{2}}q_{1}, (
Cahit Köme, Yasin Yazlik
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Relativity and Hadamard products
, 2023 A key feature of Hadamard products is used to simplify relativistic matrix derivations.
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On the Hadamard product of inverse M-matrices
Linear Algebra and its Applications, 2000 I. Schur has shown that the class of positive semidefinite \(n \times n\) matrices is closed under Hadamard multiplication. It is shown that the same holds for the class of inverse \(M\)-matrices if and only if \(n\) is less than 4. Further results concern \textit{R. A. Willoughby}'s inverse \(M\)-matrices [ibid.
Wang, Bo-Ying +2 more
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Singularity Analysis, Hadamard Products, and Tree Recurrences
, 2003 We present a toolbox for extracting asymptotic information on the coecients of combinatorial generating functions. This toolbox notably includes a treatment of the eect of Hadamard products on singularities in the context of the complex Tauberian ...
Kapur, Nevin +5 more
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High Voltage, EarlyView.ABSTRACT As one of the important links in energy transition and global energy interconnection, electric vehicles (EVs) are becoming increasingly major research topics in the field of energy. Partial discharge (PD) identification under repetitive impulsive voltages plays a pivotal role in evaluating the health of electric vehicle (EV) motor insulation ...
Li Wang +7 more
wiley +1 more source
Generalizations of the Kantorovich and Wielandt Inequalities with Applications to Statistics
MathematicsBy utilizing the properties of positive definite matrices, mathematical expectations, and positive linear functionals in matrix space, the Kantorovich inequality and Wielandt inequality for positive definite matrices and random variables are obtained ...
Yunzhi Zhang +3 more
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AlignPCA‐2D: PCA‐reduced Euclidean vector alignment for 2D classification in cryo‐EM
Acta Crystallographica Section D, EarlyView.We introduce AlignPCA‐2D, a PCA‐space Euclidean alignment method for rapid and interpretable 2D classification of cryo‐EM particle images. The approach preserves essential structural variability while greatly reducing computational cost, offering a lightweight alternative to existing large‐scale cryo‐EM classification pipelines.Cryogenic electron ...
E. Ramírez-Aportela +6 more
wiley +1 more source
The Hilbert function of some Hadamard products
, 2017 In this paper we address the Hadamard product of not necessarily generic linear varieties, looking in particular at its Hilbert function. We find that the Hilbert function of the Hadamard product X *Y of two varieties, with dim(X); dim(Y ) 1, is the ...
Bocci, C. +7 more
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