论文标题
地图集流：兼容的局部结构
Atlas flow : compatible local structures on the manifold
论文作者
论文摘要
在本文中，我们关注歧管局部结构的交集，以分析歧管的全局结构。我们使用Mapper（来自拓扑数据分析的工具）获得了有关数据歧管（例如StyleGAN2的潜在空间）的本地区域。我们对重叠的本地区域施加了粘合兼容性条件，这些条件可以确保局部结构可以粘合到歧管的全局结构中。我们提出了一种称为ATLAS流动的新型生成流模型，该模型使用兼容性重新触及本地区域。我们的模型表明，生成过程在具有噪声的众所周知的歧管的合成数据集样品上表现良好。此外，我们使用模型研究了StyleGAN2的样式向量歧管。
In this paper, we focus on the intersections of a manifold's local structures to analyze the global structure of a manifold. We obtain local regions on data manifolds such as the latent space of StyleGAN2, using Mapper, a tool from topological data analysis. We impose gluing compatibility conditions on overlapping local regions, which guarantee that the local structures can be glued together to the global structure of a manifold. We propose a novel generative flow model called Atlas flow that uses compatibility to reattach the local regions. Our model shows that the generating processes perform well on synthetic dataset samples of well-known manifolds with noise. Furthermore, we investigate the style vector manifold of StyleGAN2 using our model.
