99 citations · 157 across the 39 of their papers we have counts for
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Probability Metrics for Tropical Spaces of Different Dimensions
Roan Talbut, Daniele Tramontano, Yueqi Cao +2
The problem of comparing probability distributions is at the heart of many tasks in statistics and machine learning. Established comparison methods treat the standard setting that…
A Geometric Condition for Uniqueness of Fréchet Means of Persistence Diagrams
Yueqi Cao, Anthea Monod
The Fréchet mean is an important statistical summary and measure of centrality of data; it has been defined and studied for persistent homology captured by persistence diagrams. Ho…
An Invitation to Tropical Alexandrov Curvature
Carlos Améndola, Anthea Monod
We study Alexandrov curvature in the tropical projective torus with respect to the tropical metric, which has been useful in various statistical analyses, particularly in phylogeno…
Tropical Geometry of Phylogenetic Tree Space: A Statistical Perspective
Anthea Monod, Bo Lin, Ruriko Yoshida +1
Phylogenetic trees are the fundamental mathematical representation of evolutionary processes in biology. They are also objects of interest in pure mathematics, such as algebraic ge…