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math.CO2025
Projected Gradient Descent Method for Tropical Principal Component Analysis over Tree Space
Ruriko Yoshida
In 2019, Yoshida et al. developed tropical Principal Component Analysis (PCA), that is, an analogue of the classical PCA in the setting of tropical geometry and applied it to visua…
math.CO2007★ 51 cited
A Generating Function for all Semi-Magic Squares and the Volume of the Birkhoff Polytope
Jesus A. De Loera, Fu Liu, Ruriko Yoshida
We present a multivariate generating function for all n x n nonnegative integral matrices with all row and column sums equal to a positive integer t, the so called semi-magic squar…