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Machine learningTopological data analysis

Mapper算法

Mapper算法是拓扑数据分析(TDA)中的一种方法,它能生成一个基于图的摘要,以概括高维点云数据的形状。Mapper由Singh、Mémoli和Carlsson于2007年在Eurographics Symposium on Point-Based Graphics会议上提出,它构建了一个单纯复形——通常是一个图——该图能在不要求固定嵌入或度量假设的情况下,捕捉数据集的全局拓扑和几何结构。

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来源

  1. Singh, G., Mémoli, F., & Carlsson, G. (2007). Topological methods for the analysis of high dimensional data sets and 3D object recognition. Eurographics Symposium on Point-Based Graphics, 91–100. DOI: 10.2312/SPBG/SPBG07/091-100

如何引用本页

ScholarGate. (2026, June 2). Mapper Algorithm for Topological Data Analysis. ScholarGate. https://scholargate.app/zh/topology/mapper-algorithm

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被引用于

ScholarGateMapper Algorithm (Mapper Algorithm for Topological Data Analysis). 于 2026-06-15 检索自 https://scholargate.app/zh/topology/mapper-algorithm · 数据集: https://doi.org/10.5281/zenodo.20539026