论文标题
愿力量与你同在
May the force be with you
论文作者
论文摘要
降低维度的现代方法以非线性吸引力 - 基于抑制力的方法为主（这包括T-SNE，UMAP，FORCEATLAS2，BLANGVIS等）。本文的目的是证明所有这些方法，通过设计，都带有一个在途中自动计算的附加功能，即与这些力相关的向量场。我们展示了该向量领域如何提供其他高质量信息，并根据莫尔斯理论的思想提出了一般的完善策略。这些想法的效率是使用T-SNE在合成和现实生活数据集的T-SNE专门说明的。
Modern methods in dimensionality reduction are dominated by nonlinear attraction-repulsion force-based methods (this includes t-SNE, UMAP, ForceAtlas2, LargeVis, and many more). The purpose of this paper is to demonstrate that all such methods, by design, come with an additional feature that is being automatically computed along the way, namely the vector field associated with these forces. We show how this vector field gives additional high-quality information and propose a general refinement strategy based on ideas from Morse theory. The efficiency of these ideas is illustrated specifically using t-SNE on synthetic and real-life data sets.
