• Corpus ID: 209336870

Tropical Geometry of Phylogenetic Tree Space: A Statistical Perspective

  title={Tropical Geometry of Phylogenetic Tree Space: A Statistical Perspective},
  author={Anthea Monod and Bo Lin and Ruriko Yoshida and Qiwen Kang},
  journal={arXiv: Metric Geometry},
Phylogenetic trees are the fundamental mathematical representation of evolutionary processes in biology. As data objects, they are characterized by the challenges associated with "big data," as well as the complication that their discrete geometric structure results in a non-Euclidean phylogenetic tree space, which poses computational and statistical limitations. We propose and study a novel framework to study sets of phylogenetic trees based on tropical geometry. In particular, we focus on… 

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