Dimensionality reduction techniques are widely used for visualizing high-dimensional data. However, support for interpreting patterns of dimension reduction results in the context of the original data space is often insufficient. Consequently, users may struggle to extract insights from the projections. In this paper, we introduce DimBridge, a visual analytics tool that allows users to interact with visual patterns in a projection and retrieve corresponding data patterns. DimBridge supports several interactions, allowing users to perform various analyses, from contrasting multiple clusters to explaining complex latent structures. Leveraging first-order predicate logic, DimBridge identifies subspaces in the original dimensions relevant to a queried pattern and provides an interface for users to visualize and interact with them. We demonstrate how DimBridge can help users overcome the challenges associated with interpreting visual patterns in projections.

翻译：降维技术被广泛用于高维数据的可视化。然而，现有方法对在原始数据空间背景下解释降维结果中可视化模式的支持仍显不足，导致用户难以从投影结果中提取有效洞见。本文提出DimBridge这一可视化分析工具，支持用户与投影中的可视化模式进行交互并获取对应的数据模式。该工具通过多种交互方式，支持从多簇对比到复杂潜在结构解释等不同层次的分析任务。DimBridge基于一阶谓词逻辑，可识别与查询模式相关的原始维度子空间，并提供可视化界面供用户进行交互式探索。通过案例研究，我们展示了DimBridge如何帮助用户应对投影中可视化模式解释所面临的挑战。