论文标题
资源覆盖的持续同源性：访问投票站的案例研究
Persistent Homology for Resource Coverage: A Case Study of Access to Polling Sites
论文作者
论文摘要
重要的是要以公平，公平的方式选择公共资源的地理分布。但是，量化这种分布的权益是很复杂的。重要因素包括与资源站点的距离，运输的可用性以及易于旅行。我们使用持久性同源性，这是拓扑数据分析的工具，用于研究投票站的有效供应和覆盖范围。来自持久同源性的信息使我们能够推断出投票站的分布中的漏洞。我们分析和比较了洛杉矶县和五个城市（亚特兰大，芝加哥，杰克逊维尔，纽约市和盐湖城）的投票场所的报道，我们得出结论，持久同源性的计算似乎是分析资源覆盖范围的合理方法。
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 effective availability and coverage of polling sites. The information from persistent homology allows us to infer holes in the 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.
