kNN graph Laplacians with self-tuned affinity achieve operator pointwise convergence to the manifold operator at rate O(N^{-2/(d+6)}) when epsilon and k scale optimally.
Laplacian eigenmaps for dimensionality reduction and data representation
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A Voronoi-driven diffusion-based extension of Nadaraya-Watson regression on manifolds that suppresses high frequencies and approximates total-variation minimization for compressed sensing with identity operator.
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Improved convergence rate of kNN graph Laplacians: differentiable self-tuned affinity
kNN graph Laplacians with self-tuned affinity achieve operator pointwise convergence to the manifold operator at rate O(N^{-2/(d+6)}) when epsilon and k scale optimally.
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A Data-Driven Interpolation Method on Smooth Manifolds via Diffusion Processes and Voronoi Tessellations
A Voronoi-driven diffusion-based extension of Nadaraya-Watson regression on manifolds that suppresses high frequencies and approximates total-variation minimization for compressed sensing with identity operator.