Mapper algorithm is a popular tool from topological data analysis for extracting topological summaries of high-dimensional datasets. It has enjoyed great success in data science, from shape classification to cancer research and sports analytics. In this paper, we present Mapper Interactive, a web-based framework for the interactive analysis and visualization of high-dimensional point cloud data built upon the mapper algorithm. Different from existing implementations, Mapper Interactive implements the mapper algorithm in an interactive, scalable, and easily extendable way, thus supporting practical data analysis. In particular, its command-line API can compute mapper graphs for 1 million points of 512 dimensions in about 3 minutes (6 times faster than the vanilla implementation). Its visual interface allows on-the-fly computation and manipulation of the mapper graph based on user-specified parameters and supports the addition of new analysis modules with a few lines of code. Mapper Interactive makes the mapper algorithm accessible to nonspecialists and accelerates topological analysis workflows.

中文翻译：

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Mapper Interactive：用于高维数据可视化探索的可扩展、可扩展和交互式工具箱

Mapper 算法是一种流行的拓扑数据分析工具，用于提取高维数据集的拓扑摘要。它在数据科学领域取得了巨大成功，从形状分类到癌症研究和运动分析。在本文中，我们提出了 Mapper Interactive，这是一个基于 Web 的框架，用于基于映射器算法构建的高维点云数据的交互式分析和可视化。与现有的实现方式不同，Mapper Interactive 以交互式、可扩展、易于扩展的方式实现映射器算法，从而支持实用的数据分析。特别是，它的命令行 API 可以在大约 3 分钟内为 512 个维度的 100 万个点计算映射器图（比普通实现快 6 倍）。其可视化界面允许根据用户指定的参数对映射器图形进行动态计算和操作，并支持使用几行代码添加新的分析模块。Mapper Interactive 使非专业人员也可以使用映射器算法并加速拓扑分析工作流程。