| Abstract: |
| 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. |
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