When Locally Linear Embedding Hits Boundary

11 Nov 2018Hau-tieng WuNan Wu

Based on the Riemannian manifold model, we study the asymptotical behavior of a widely applied unsupervised learning algorithm, locally linear embedding (LLE), when the point cloud is sampled from a compact, smooth manifold with boundary. We show several peculiar behaviors of LLE near the boundary that are different from those diffusion based algorithms... (read more)

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