Convergence of Hessian estimator from random samples on a manifold

03/22/2023

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by   Chih-Wei Chen, et al.

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We provide a systematic convergence analysis of the Hessian operator estimator from random samples supported on a low dimensional manifold. We show that the impact of the nonuniform sampling and the curvature on the widely applied Hessian operator estimator is asymptotically negligible.