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math.AG2026
Euclidean Distance Optimization Within the Grassmannian
Hannah Friedman, Serkan Hoşten, Andrea Rosana
Given a subvariety of the Grassmannian and a data point, we seek to find a point on the subvariety minimizing the Euclidean distance to the data point. The number of complex critic…
math.AG2026
Maximum Likelihood Estimation on the Grassmannian of Lines
Hannah Friedman
We study the positive Grassmannian through the lens of algebraic statistics. A closed formula is presented for the maximum likelihood degree of the Grassmannian of lines. We study…
math.AG2026
Distance Optimization in the Grassmannian of Lines
Hannah Friedman, Andrea Rosana, Bernd Sturmfels
The square of a skew-symmetric matrix is a symmetric matrix whose eigenvalues have even multiplicities. When the matrices have rank two, they represent the Grassmannian of lines, a…