Results 21 to 30 of about 5,810,036 (263)
Another estimation of Laplacian spectrum of the Kronecker product of graphs [PDF]
Information Sciences, 2021 The relationships between eigenvalues and eigenvectors of a product graph and those of its factor graphs have been known for the standard products, while characterization of Laplacian eigenvalues and eigenvectors of the Kronecker product of graphs using ...
Milan Basic, Branko Arsić, Z. Obradovic
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Efficient Compact Bilinear Pooling via Kronecker Product
AAAI Conference on Artificial Intelligence, 2022 Bilinear pooling has achieved excellent performance in fine-grained recognition tasks. Nevertheless, high-dimensional bilinear features suffer from over-fitting and inefficiency.
Tan Yu, Yunfeng Cai, Ping Li
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On the crossing number for Kronecker product of a tripartite graph with path
AKCE International Journal of Graphs and Combinatorics, 2020 The crossing number of a graph G, Cr(G) is the minimum number of edge crossings overall good drawings of G. Among the well-known four standard graph products namely Cartesian product, Kronecker product, strong product and lexicographic product, the one ...
N. Shanthini, J. Baskar Babujee
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The complexity of computing Kronecker coefficients [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 Kronecker coefficients are the multiplicities in the tensor product decomposition of two irreducible representations of the symmetric group $S_n$. They can also be interpreted as the coefficients of the expansion of the internal product of two Schur ...
Peter Bürgisser, Christian Ikenmeyer
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Distinguishing index of Kronecker product of two graphs
Electronic Journal of Graph Theory and Applications, 2021 The distinguishing index D'(G) of a graph G is the least integer d such that G has an edge labeling with d labels that is preserved only by a trivial automorphism. The Kronecker product G x H of two graphs G and H is the graph with vertex set V(G) x V(H)
Saeid Alikhani, Samaneh Soltani
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On the Ψ-asymptotic equivalence of the Ψ-bounded solutions of two Lyapunov matrix differential equations [PDF]
ITM Web of Conferences, 2020 Using Schauder Tychonoff fixed point theorem and the technique of Kronecker product of matrices, we prove existence results for Ψ-asymptotic equivalence of the Ψ-bounded solutions of two Lyapunov matrix differential equations.
Diamandescu Aurel
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Testing Kronecker Product Covariance Matrices for High-Dimensional Matrix-Variate Data
Biometrika, 2022 The Kronecker product covariance structure provides an efficient way to model the inter-correlations of matrix-variate data. In this paper, we propose test statistics for the Kronecker product covariance matrix based on linear spectral statistics of ...
Long Yu, Jiahui Xie, Wang Zhou
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Beamforming with Cube Microphone Arrays Via Kronecker Product Decompositions
IEEE/ACM Transactions on Audio Speech and Language Processing, 2021 Microphone arrays combined with beamforming have been widely used to solve many important acoustic problems in a wide range of applications. Much effort has been devoted in the literature to microphone array beamforming, among which the Kronecker product
Xuehan Wang +4 more
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Journal of Combinatorial Theory, Series A, 1994 The paper obtains algebraic structure theorems and properties for the strong Kronecker product of two block matrices, \(M= [M_{ij}]\) and \(N= [N_{jk}]\), where \(i= 1,\dots,r\), \(j= 1,\dots,t\), \(k= 1,\dots,u\), each \(M_{ij}\) is an \(m\times p\) submatrix, each \(N_{jk}\) is an \(n\times q\) matrix, namely: \(M\circ N= [L_{ik}]\), \(i= 1,\dots,r\),
de Launey, Warwick, Seberry, Jennifer
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On the Design of Differential Kronecker Product Beamformers
IEEE/ACM Transactions on Audio Speech and Language Processing, 2021 In this paper, we present a generalized approach for differential microphone array (DMA) beamforming in the short-time Fourier transform (STFT) domain. We propose a multistage beamforming approach, which considers a Kronecker product (KP) decomposition ...
G. Itzhak, J. Benesty, I. Cohen
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