42 citations · 98 across the 7 of their papers we have counts for
9 papers
Tropical Fréchet Means: a polyhedral approach to exact optimization
Kamillo Ferry, Bo Lin, Carlos Améndola +2
The Fréchet mean is a fundamental notion of central tendency defined as a minimizer of a sum of squared distances in a general metric space. In this paper, we study Fréchet means i…
Tropical Geometric Variation of Phylogenetic Tree Shapes
Bo Lin, Anthea Monod, Ruriko Yoshida
We study the behavior of phylogenetic tree shapes in the tropical geometric interpretation of tree space. Tree shapes are formally referred to as tree topologies; a tree topology c…
Tropical Optimal Transport and Wasserstein Distances
Wonjun Lee, Wuchen Li, Bo Lin +1
We study the problem of optimal transport in tropical geometry and define the Wasserstein- distances in the continuous metric measure space setting of the tropical projective to…
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…
Two-player incentive compatible outcome functions are affine maximizers
Bo Lin, Ngoc Mai Tran
In mechanism design, for a given type space, there may be incentive compatible outcome functions which are not affine maximizers. Using tools from linear algebra and tropical geome…
Linear and Rational Factorization of Tropical Polynomials
Bo Lin, Ngoc Mai Tran
Already for bivariate tropical polynomials, factorization is an NP-Complete problem. In this paper, we give an efficient algorithm for factorization and rational factorization of a…
Towards a tropical Hodge bundle
Bo Lin, Martin Ulirsch
The moduli space of tropical curves of genus is a generalized cone complex that parametrizes metric vertex-weighted graphs of genus . For each such graph , t…
Tropical Fermat-Weber points
Bo Lin, Ruriko Yoshida
In a metric space, the Fermat-Weber points of a sample are statistics to measure the central tendency of the sample and it is well-known that the Fermat-Weber point of a sample is…
Convexity in Tree Spaces
Bo Lin, Bernd Sturmfels, Xiaoxian Tang +1
We study the geometry of metrics and convexity structures on the space of phylogenetic trees, which is here realized as the tropical linear space of all \ ultrametrics. The ${\rm C…