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Learning Laplacian Matrix from Bandlimited Graph Signals
ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2019In this paper, we present a method for learning an underlying graph topology using observed graph signals as training data. The novelty of our method lies on the combination of two assumptions that are imposed as constraints to the graph learning process: i) the standard assumption used in the literature that signals are smooth with respect to graph ...
Batiste Le Bars +3 more
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Principal subpermanents of the Laplacian matrix
Linear and Multilinear Algebra, 1986The subdeterminants of the Laplacian matrix L(G) assigned to a graph G have a well-known combinatorial meaning. In the present paper principal subpermanents per LK (G) and coefficients pk (G) of the permanental characteristic polynomial of L(G) are expressed by means of some collections of subgraphs of G.
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Laplacian Growth and Random Matrix Theory
2014The link between Laplacian growth and stochastic processes in the complex plane was discovered rather unexpectedly [581, 551], through their common relation to the multi-particle wavefunction description of the Quantum Hall Effect, in the single-Landau level approximation.
Björn Gustafsson +2 more
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Hermitian normalized Laplacian matrix for directed networks
Information Sciences, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu, Guihai +3 more
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Sampled-Data Synchronization under Matrix-Weighted Laplacian
2019 Chinese Control Conference (CCC), 2019In this paper, we study the synchronization problem of coupled identical electrical oscillators when the coupling between oscillators is described by matrices. In contrast to the mechanisms which make use of the instantaneous and the derivative information of the relative state, the sampled data technique is utilized to tackle the case when the ...
Shuang Li, Weiguo Xia
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Normalized hodge laplacian matrix and its spectrum
2023Let ? be a simplicial complex, ?[ Subscript ?] ∶ ?[ Subscript ?] → ?[ Subscript ?−1] a boundary map on ? and ?[ Subscript ?] a matrix representation of ?[ Subscript ?]. A Hodge ?-Laplacian matrix on simplicial complexes is defined by ?[ Subscript ?]
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The perturbed laplacian matrix of a graph
Linear and Multilinear Algebra, 2001For a graph G, we define its perturbed Laplacian matrix as D−A(G) where A(G) is the adjacency matrix of G and D is an arbitrary diagonal matrix. Both the Laplacian matrix and the negative of the adjacency matrix are special instances of the perturbed Laplacian.
R. B. Bapat, S. J. Kirkland, S. Pati
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Non-negative matrix factorization for images with Laplacian noise
APCCAS 2008 - 2008 IEEE Asia Pacific Conference on Circuits and Systems, 2008This paper is concerned with the design of a non-negative matrix factorization algorithm for image analysis. This can be used in the context of blind source separation, where each observed image is a linear combination of a few basis functions, and that both the coefficients for the linear combination and the bases are unknown.
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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
exaly
Hermitian skew Laplacian matrix of oriented graphs
Discrete Mathematics, Algorithms and ApplicationsLet [Formula: see text] be a simple graph of order [Formula: see text] having [Formula: see text] edges and let [Formula: see text] be an orientation of [Formula: see text]. The hermitian skew Laplacian matrix [Formula: see text] of [Formula: see text] is defined as [Formula: see text], where [Formula: see text] is the imaginary unit, [Formula: see ...
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