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arXiv stat.ML · Papers

On the convergence of graph Laplacians with a symmetric divergence

arXiv:2607.05892v1 Announce Type: new Abstract: When analyzing a manifold learning algorithm for data lying on a smooth, compact, connected Riemannian submanifold $(mathcal{M}, g)$ of $mathbb{R}^d$, a key estimate for the geodesic distance $d_g$ is that there exists $K > 0$ such that $0 leq d_g(p, q)^2 - |p-q|^2