Alvaro Ribot

collaborators

3 papers

math.AG2026

Unifying singular value decompositions of tensors via aligned orthogonality

Alvaro Ribot

We study basis-aligned two-orthogonal (bato) tensors, which can be written as a sum of critical rank-one approximations whose factors are singular vectors of their flattenings. As…

math.AG2025

Toric Multivariate Gaussian Models from Symmetries in a Tree

Emma Cardwell, Aida Maraj, Alvaro Ribot

Given a rooted tree $T$ on $n$ non-root leaves with colored and zeroed nodes, we construct a linear space $L_{T}$ of $n \times n$ symmetric matrices with constraints determined by the…

math.CO2025

Halfspace Representations of Path Polytopes of Trees

Amer Goel, Aida Maraj, Alvaro Ribot

Given a tree $T$ , its path polytope is the convex hull of the edge indicator vectors for the paths between any two distinct leaves in $T$ . These polytopes arise naturally in polyhe…