99 citations · 314 across the 26 of their papers we have counts for
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math.GT2010★ 11 cited
Towards Stratification Learning through Homology Inference
Paul Bendich, Sayan Mukherjee, Bei Wang
A topological approach to stratification learning is developed for point cloud data drawn from a stratified space. Given such data, our objective is to infer which points belong to…
math.ST2010★ 41 cited
Learning gradients on manifolds
Sayan Mukherjee, Qiang Wu, Ding-Xuan Zhou
A common belief in high-dimensional data analysis is that data are concentrated on a low-dimensional manifold. This motivates simultaneous dimension reduction and regression on man…