著者
Yusuke Imoto Yasuaki Hiraoka
出版者
The Institute of Electronics, Information and Communication Engineers
雑誌
Nonlinear Theory and Its Applications, IEICE (ISSN:21854106)
巻号頁・発行日
vol.14, no.2, pp.92-105, 2023 (Released:2023-04-01)
参考文献数
33

Mapper, a topological data analysis method for high-dimensional data, represents a topological structure as a simplicial complex or graph based on the nerve of clusters. We propose V-Mapper (velocity Mapper), an extension of Mapper, for high-dimensional data with velocity. V-Mapper simultaneously describes a topological structure and flow as a weighted directed graph (V-Mapper graph) by embedding velocity in the edges of the Mapper graph. We apply V-Mapper to single-cell gene expression data using a method for inferring the velocity of gene expression. Moreover, the application of the Hodge decomposition on graph enhances the interpretation of the flow within V-Mapper graph.

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J-STAGE Articles - V-Mapper: topological data analysis for high-dimensional data with velocity https://t.co/UkcO0Qkx9d
The DOI of the paper is here: https://t.co/QmU7TFwtfP
Velocity Mapper adds values to the edges of a Mapper graph; Makes a weighted directed graph Graphs build from single-cell gene expression data are useful to study dynamics of cellular processes such as differentiation, development, or disease progression https://t.co/gAiLEnkMoK https://t.co/sLnOKr1Wzo

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