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Neural Information Processing Systems 

The key observation is that the success4 of the proposed method depends solely on the intrinsic property of the data manifold instead of specific sampling5 procedures (Theorem 4.2),whichmakesourextension non-trivial. About the curvature estimation method: we apologize for not including enough details in the description of the15 proposed curvature estimation method. When estimating the curvature at some pointp, our method requires (Sect. What is the dimension of the NRPCA space, is it two? Is the neighborhood patch defined with respect to Xi or Xi?

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