- Mathematical Biology Seminar
- Wednesday, September 11, 2019 - 11:00am for 1 hour (actually 50 minutes)
- Skiles 006
- Bo Lin – Georgia Tech
- Christine Heitsch
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.
In this talk, I will compare the geometric and statistical properties between a well-studied framework - the BHV space, and an alternative framework that we propose, which is based on tropical geometry. Our framework exhibits analytic, geometric, and topological properties that are desirable for theoretical studies in probability and statistics, as well as increased computational efficiency. I also demonstrate our approach on an example of seasonal influenza data.