论文标题
持久图的格子理论观点
A Lattice-Theoretic Perspective on the Persistence Map
论文作者
论文摘要
我们提供了从合并树到条形码的持久图的自然同构描述，从分区晶格到子集晶格的单调图。我们的描述是本地的，它具有加快逆计算的潜力，并将经典工具组合起来，可以在拓扑数据分析（TDA）中的积极研究领域（TDA）。
We provide a naturally isomorphic description of the persistence map from merge trees to barcodes in terms of a monotone map from the partition lattice to the subset lattice. Our description is local, which offers the potential to speed up inverse computations, and brings classical tools in combinatorics to bear on an active area of research in topological data analysis (TDA).
