16 citations · 54 across the 16 of their papers we have counts for
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math.ST2017★ 2 cited
Think globally, fit locally under the Manifold Setup: Asymptotic Analysis of Locally Linear Embedding
Hau-Tieng Wu, Nan Wu
Since its introduction in 2000, the locally linear embedding (LLE) has been widely applied in data science. We provide an asymptotical analysis of the LLE under the manifold setup.…
math.DG2017★ 1 cited
An upper bound for the smallest area of a minimal surface in manifolds of dimension four
Nan Wu, Zhifei Zhu
In this paper, we prove that for any closed 4-dimensional Riemannian manifold with trivial first homology group, if the Ricci curvature , the diameter $diam(M)\leq…
math.DG2017
Length of a shortest closed geodesic in manifolds of dimension four
Nan Wu, Zhifei Zhu
In this paper, we show that for any closed 4-dimensional simply-connected Riemannian manifold with Ricci curvature , volume , and diameter ,…