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Jun, 2023
多参数持久同调分解的快速稳定表示框架
A Framework for Fast and Stable Representations of Multiparameter Persistent Homology Decompositions
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David Loiseaux, Mathieu Carrière, Andrew J. Blumberg
TL;DR
本文介绍了一种新的通用表示框架,使用代数拓扑的不变量对几何数据集进行多尺度形状描述,以表示多参数持久性同调,包括理论稳定性保证及实用的高效算法,能够快速分析几何和点云数据。
Abstract
topological data analysis
(TDA) is an area of data science that focuses on using invariants from algebraic topology to provide multiscale shape descriptors for
geometric data
sets such as point clouds. One of the
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