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Modeling Tree-like Heterophily on Symmetric Matrix Manifolds [PDF]
EntropyTree-like structures, characterized by hierarchical relationships and power-law distributions, are prevalent in a multitude of real-world networks, ranging from social networks to citation networks and protein–protein interaction networks.
Yang Wu, Liang Hu, Juncheng Hu
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Moore-Penrose inverse of a hollow symmetric matrix and a predistance matrix
Special Matrices, 2016 By a hollow symmetric matrix we mean a symmetric matrix with zero diagonal elements. The notion contains those of predistance matrix and Euclidean distance matrix as its special cases.
Kurata Hiroshi, Bapat Ravindra B.
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A new symmetric weighing matrix SW(22,16) [PDF]
Notes on Number Theory and Discrete MathematicsThe existence of symmetric weighing matrix SW(22,16) is settled in this note through a theorem and exhaustive search.
Sheet Nihal Topno, Shyam Saurabh
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Generalized Symmetric Neutrosophic Fuzzy Matrices [PDF]
Neutrosophic Sets and Systems, 2023 We develop the concept of range symmetric Neutrosophic Fuzzy Matrix and Kernel symmetric Neutrosophic Fuzzy Matrix analogous to that of an EP –matrix in the complex field. First we present equivalent characterizations of a range symmetric matrix and then
M. Anandhkumar +3 more
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Algorithms for solving a class of real quasi-symmetric Toeplitz linear systems and its applications
Electronic Research Archive, 2023 In this paper, fast numerical methods for solving the real quasi-symmetric Toeplitz linear system are studied in two stages. First, based on an order-reduction algorithm and the factorization of Toeplitz matrix inversion, a sequence of linear systems ...
Xing Zhang +3 more
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Generic symmetric matrix pencils with bounded rank [PDF]
Journal of Spectral Theory, 2018 We show that the set of $n \times n$ complex symmetric matrix pencils of rank at most $r$ is the union of the closures of $\lfloor r/2\rfloor +1$ sets of matrix pencils with some, explicitly described, complete eigenstructures.
Fernando De Ter'an +2 more
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Self-Dual Codes, Symmetric Matrices, and Eigenvectors
IEEE Access, 2021 We introduce a consistent and efficient method to construct self-dual codes over $GF(q)$ using symmetric matrices and eigenvectors from a self-dual code over $GF(q)$ of smaller length where $q \equiv 1 \pmod 4$ . Using this method, which is called a
Jon-Lark Kim, Whan-Hyuk Choi
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A Hebbian/Anti-Hebbian network for online sparse dictionary learning derived from symmetric matrix factorization [PDF]
Asilomar Conference on Signals, Systems and Computers, 2014 Olshausen and Field (OF) proposed that neural computations in the primary visual cortex (V1) can be partially modelled by sparse dictionary learning. By minimizing the regularized representation error they derived an online algorithm, which learns Gabor ...
Tao Hu, Cengiz Pehlevan, D. Chklovskii
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On the spectrum of noisy blown-up matrices
Special Matrices, 2020 We study the eigenvalues of large perturbed matrices. We consider a pattern matrix P, we blow it up to get a large block-matrix Bn. We can observe only a noisy version of matrix Bn. So we add a random noise Wn to obtain the perturbed matrix An = Bn + Wn.
Fazekas István, Pecsora Sándor
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Two families of the simple iteration method, in comparison [PDF]
Компьютерные исследования и моделирование, 2012 Convergence to the solution of the linear system with real quadrate non singular matrix A with real necessary different sign eigen values of two families of simple iteration method: two-parametric and symmetrized one-parametric generated by these A and b
Pavel Nikolaevich Sorokin +1 more
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