Results 311 to 320 of about 2,218,762 (336)

Learning Laplacian Matrix for Smooth Signals on Graph*

2019 IEEE International Conference on Signal, Information and Data Processing (ICSIDP), 2019
Learning a useful Laplacian matrix plays a significant role in graph learning. This paper focuses on smoothness analysis, which leads to the concept of total variation (TV) on graphs, a new learning Laplacian matrix framework and solving it via convex ...
Tianxing Liao, Wen-qin Wang, Bang Huang, Jian Xu   +3 more
semanticscholar   +1 more source

Orthogonal Eigenvector Matrix of the Laplacian

2015 11th International Conference on Signal-Image Technology & Internet-Based Systems (SITIS), 2015
The orthogonal eigenvector matrix Z of the Laplacian matrix of a graph with N nodes is studied rather than its companion X of the adjacency matrix, because for the Laplacian matrix, the eigenvector matrix Z corresponds to the adjacency companion X of a regular graph, whose properties are easier.
Xiangrong Wang, Piet Van Mieghem
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On Determinant of Laplacian Matrix and Signless Laplacian Matrix of a Simple Graph

2017
In a simple graph, Laplacian matrix and signless Laplacian matrix are derived from both adjacency matrix and degree matrix. Although, determinant of Laplacian matrix is always zero, yet we express it using only the adjacency matrix and square of its adjacency matrix.
Olayiwola Babarinsa, Hailiza Kamarulhaili   +1 more
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Principal subpermanents of the Laplacian matrix

Linear and Multilinear Algebra, 1986
The 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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A matrix-transform numerical solver for fractional Laplacian viscoacoustic wave equation

Geophysics, 2019
We have developed a matrix-transform method (MTM) to numerically solve the fractional Laplacian constant-[Formula: see text] viscoacoustic wave equation. The new method is based on a matrix representation of the fractional Laplacians, and it is different
Hanming Chen, Hui Zhou, Y. Rao, Pengyuan Sun, Jianlei Zhang, Yangkang Zhang   +5 more
semanticscholar   +1 more source

Duality and the signed Laplacian matrix of a graph

Linear Algebra and its Applications, 2018
Abstract We give a necessary and sufficient condition for a bijection between the edge sets of two graphs to be a dual bijection. The condition involves unimodular congruence of augmented signed Laplacian matrices for the two graphs.
Lorenzo Traldi, William Watkins, Derek A. Smith   +2 more
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The laplacian matrix of a graph: unimodular congruence

Linear and Multilinear Algebra, 1990
This paper gives graph-theoretic conditions that are sufficient for the Laplaceman matrices of two graphs to be congruent by a unimodular matrix.
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Laplacian Growth and Random Matrix Theory

2014
The 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, Razvan Teodorescu, Alexander Vasil’ev   +2 more
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The Group Inverse of the Laplacian Matrix of a Graph

2018
What follows is a short, selective tour of some of the connections between weighted graphs and the group inverses of their associated Laplacian matrices. The presentation below draws heavily from Kirkland–Neumann [11, Ch. 7], and the interested reader can find further results on the topic in that book.
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Real-time spatiotemporal prediction and imputation of traffic status based on LSTM and Graph Laplacian regularized matrix factorization

, 2021
Jin-Ming Yang, Z. Peng, Lei Lin
semanticscholar   +1 more source