Means in spaces of tree-like shapes

@article{Feragen2011MeansIS,
  title={Means in spaces of tree-like shapes},
  author={Aasa Feragen and S{\o}ren Hauberg and Mads Nielsen and François Lauze},
  journal={2011 International Conference on Computer Vision},
  year={2011},
  pages={736-746}
}
The mean is often the most important statistic of a dataset as it provides a single point that summarizes the entire set. While the mean is readily defined and computed in Euclidean spaces, no commonly accepted solutions are currently available in more complicated spaces, such as spaces of tree-structured data. In this paper we study the notion of means, both generally in Gromov's CAT(0)-spaces (metric spaces of non-positive curvature), but also specifically in the space of tree-like shapes. We… CONTINUE READING

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