RKHS interpolation for binary classification is equivalent to harmonic interpolation that minimizes Dirichlet energy on a Riemannian manifold subject to label boundary conditions at training points.
Vasii,Yang–Mills–Higgs Classification: A Geometric Theory of Binary Labels on Non- Contractible Spaces, Preliminary draft, 2026
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From Gradient Descent to Harmonic Interpolation: A Geometric Theory of Binary Classification
RKHS interpolation for binary classification is equivalent to harmonic interpolation that minimizes Dirichlet energy on a Riemannian manifold subject to label boundary conditions at training points.