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math.ST2018★ 11 cited
When Locally Linear Embedding Hits Boundary
Hau-tieng Wu, Nan Wu
Based on the Riemannian manifold model, we study the asymptotic behavior of a widely applied unsupervised learning algorithm, locally linear embedding (LLE), when the point cloud i…
math.ST2018
Connecting Dots -- from Local Covariance to Empirical Intrinsic Geometry and Locally Linear Embedding
John Malik, Chao Shen, Hau-Tieng Wu +1
Local covariance structure under the manifold setup has been widely applied in the machine learning society. Based on the established theoretical results, we provide an extensive s…