1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.DG2026
Yang-Mills-Higgs: A Geometric Theory of Binary Labels on Non-Contractible Spaces
Catalin Vasii
We reformulate binary classification on a manifold M as a Yang-Mills-Higgs variational problem. Labelled data is encoded as a functor from the fundamental groupoid of M to the one-…
math.DG2026
From Gradient Descent to Harmonic Interpolation: A Geometric Theory of Binary Classification
Catalin Vasii
We propose a dictionary between binary classification in machine learning and differential geometry. Classifiers are parallel sections of vector bundles over the data space; traini…
math.DG2006★ 1 cited
The Volume Entropy of a Riemannian Metric Evolving by the Ricci Flow on a Manifold of Dimension 3 or Above
Catalin C. Vasii
In this paper it is proven that the volume entropy of a riemannian metric evolving by the Ricci flow, if does not collapse, nondecreases. Therefore, it provides a sufficient condit…