论文标题
最大过滤的注入性，稳定性和正定性
Injectivity, stability, and positive definiteness of max filtering
论文作者
论文摘要
鉴于真实的内部产品空间V和一组线性异构体G组，最大过滤提供了丰富的G不变地图。在本文中，我们确定了这些地图在这些条件下将轨道空间v/g嵌入欧几里得空间中的几乎鲜明的条件，当G是有限的时，我们估计地图对商公制的失真。我们还表征当最大过滤是一个正确定的内核时。
Given a real inner product space V and a group G of linear isometries, max filtering offers a rich class of G-invariant maps. In this paper, we identify nearly sharp conditions under which these maps injectively embed the orbit space V/G into Euclidean space, and when G is finite, we estimate the map's distortion of the quotient metric. We also characterize when max filtering is a positive definite kernel.
