论文标题
在托里和球体上归一流
Normalizing Flows on Tori and Spheres
论文作者
论文摘要
归一化流是在高维度建立表达分布的强大工具。到目前为止，大多数文献都集中在欧几里得空间上学习流。但是，在具有更复杂几何形状的空间（例如托里或球体）上定义了一些问题，例如涉及角度的问题。在本文中，我们提出并比较在此类空间上的表达性和数值稳定的流动。我们的流是从空间的尺寸上递归构建的，从圆圈，闭合间隔或球体开始。
Normalizing flows are a powerful tool for building expressive distributions in high dimensions. So far, most of the literature has concentrated on learning flows on Euclidean spaces. Some problems however, such as those involving angles, are defined on spaces with more complex geometries, such as tori or spheres. In this paper, we propose and compare expressive and numerically stable flows on such spaces. Our flows are built recursively on the dimension of the space, starting from flows on circles, closed intervals or spheres.
