Persistent Homology for Resource Coverage: A Case Study of Access to Polling Sites

IF 10.8 1区数学 Q1 MATHEMATICS, APPLIED

SIAM Review Pub Date : 2024-08-08 DOI:10.1137/22m150410x

Abigail Hickok, Benjamin Jarman, Michael Johnson, Jiajie Luo, Mason A. Porter

引用次数: 0

Abstract

SIAM Review, Volume 66, Issue 3, Page 481-500, May 2024.
It is important to choose the geographical distributions of public resources in a fair and equitable manner. However, it is complicated to quantify the equity of such a distribution; important factors include distances to resource sites, availability of transportation, and ease of travel. We use persistent homology, which is a tool from topological data analysis, to study the availability and coverage of polling sites. The information from persistent homology allows us to infer holes in a distribution of polling sites. We analyze and compare the coverage of polling sites in Los Angeles County and five cities (Atlanta, Chicago, Jacksonville, New York City, and Salt Lake City), and we conclude that computation of persistent homology appears to be a reasonable approach to analyzing resource coverage.

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资源覆盖的持久同源性：投票站访问案例研究

SIAM Review》，第 66 卷第 3 期，第 481-500 页，2024 年 5 月。以公平公正的方式选择公共资源的地理分布非常重要。然而，要量化这种分配的公平性是很复杂的，其中的重要因素包括资源地点的距离、交通的可用性和出行的便利性。我们使用拓扑数据分析工具持久同源性来研究投票站的可用性和覆盖范围。通过持久同源性的信息，我们可以推断出投票站分布中的漏洞。我们分析并比较了洛杉矶县和五个城市（亚特兰大、芝加哥、杰克逊维尔、纽约和盐湖城）的投票站覆盖情况，并得出结论：计算持久同源性似乎是分析资源覆盖情况的一种合理方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

SIAM Review 数学-应用数学

CiteScore

16.90

自引率

0.00%

发文量

期刊介绍： Survey and Review feature papers that provide an integrative and current viewpoint on important topics in applied or computational mathematics and scientific computing. These papers aim to offer a comprehensive perspective on the subject matter. Research Spotlights publish concise research papers in applied and computational mathematics that are of interest to a wide range of readers in SIAM Review. The papers in this section present innovative ideas that are clearly explained and motivated. They stand out from regular publications in specific SIAM journals due to their accessibility and potential for widespread and long-lasting influence.