8 citations · 32 across the 13 of their papers we have counts for
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math.ST2016★ 8 cited
The Geometry of Synchronization Problems and Learning Group Actions
Tingran Gao, Jacek Brodzki, Sayan Mukherjee
We develop a geometric framework that characterizes the synchronization problem --- the problem of consistently registering or aligning a collection of objects. The theory we formu…
math.ST2016★ 3 cited
The Diffusion Geometry of Fibre Bundles: Horizontal Diffusion Maps
Tingran Gao
Kernel-based non-linear dimensionality reduction methods, such as Local Linear Embedding (LLE) and Laplacian Eigenmaps, rely heavily upon pairwise distances or similarity scores, w…
math.ST2015
Hypoelliptic Diffusion Maps I: Tangent Bundles
Tingran Gao
We introduce the concept of Hypoelliptic Diffusion Maps (HDM), a framework generalizing Diffusion Maps in the context of manifold learning and dimensionality reduction. Standard no…