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Clustering Methods over the Tropical Projective Torus

Author

Listed:
  • David Barnhill

    (Naval Postgraduate School, 1411 Cunningham Road, Monterey, CA 93943-5219, USA)

  • Ruriko Yoshida

    (Naval Postgraduate School, 1411 Cunningham Road, Monterey, CA 93943-5219, USA)

Abstract

In this paper, we propose clustering methods for use on data described as tropically convex. Our approach is similar to clustering methods used in the Euclidean space, where we identify groupings of similar observations using tropical analogs of K-means and hierarchical clustering in the Euclidean space. We provide results from computational experiments on generic simulated data as well as an application to phylogeny using ultrametrics, demonstrating the efficacy of these methods.

Suggested Citation

  • David Barnhill & Ruriko Yoshida, 2023. "Clustering Methods over the Tropical Projective Torus," Mathematics, MDPI, vol. 11(15), pages 1-22, August.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:15:p:3433-:d:1212095
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    References listed on IDEAS

    as
    1. Ruriko Yoshida, 2021. "Tropical Balls and Its Applications to K Nearest Neighbor over the Space of Phylogenetic Trees," Mathematics, MDPI, vol. 9(7), pages 1-14, April.
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