Finite-dimensional Diffusion Maps on submanifolds preserve almost uniform density, polynomial approximation, and reach, with embedding error O((log n/n)^{1/(8d+16)}) and tangent space error bounded by C (log n/n)^{(k-1)/((8d+16)k)}.
Eigen-convergence of gaussian kern elized graph laplacian by mani- fold heat interpolation
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How well behaved is finite dimensional Diffusion Maps?
Finite-dimensional Diffusion Maps on submanifolds preserve almost uniform density, polynomial approximation, and reach, with embedding error O((log n/n)^{1/(8d+16)}) and tangent space error bounded by C (log n/n)^{(k-1)/((8d+16)k)}.