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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.AG2024
Toric Multivariate Gaussian Models from Symmetries in a Tree
Emma Cardwell, Aida Maraj, Alvaro Ribot
Given a rooted tree on non-root leaves with colored and zeroed nodes, we construct a linear space of symmetric matrices with constraints determined by the…