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政大機構典藏 > 理學院 > 應用數學系 > 會議論文 > Item 140.119/156218

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/156218

Title:	On the Continuity of Moore-Penrose Inverse of the Graph Laplacian
Authors:	蔡炎龍 Tsai, Yen-Lung;Lin, Tse-Yu
Contributors:	應數系
Keywords:	graph Laplacian;Moore-Penrose inverse;continuity;graph connectivity
Date:	2024-11
Issue Date:	2025-03-12 11:17:19 (UTC+8)
Abstract:	Graph Laplacian is a fundamental tool in various fields such as spectral clustering, network analysis, image processing, and, deep learning recently for studying message passing in graph neural network models. To support the theoretical use of the graph Laplacian in these fields, in this work, we study the continuity of the Moore-Penrose generalized inverse of the graph Laplacian. We provide a graph-theoretical proof of this continuity in terms of the connectivity of the underlying graph associated with a given graph Laplacian matrix.
Relation:	2024 IEEE 13th Global Conference on Consumer Electronics (GCCE), IEEE
Data Type:	conference
DOI 連結:	https://doi.org/10.1109/GCCE62371.2024.10760335
DOI:	10.1109/GCCE62371.2024.10760335
Appears in Collections:	[應用數學系] 會議論文

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