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Learning nonlinear structures from high-dimensional and noisy datasets

Mathematics of Data & Decisions

Speaker: Xiucai Ding, UC Davis
Location: 2112 MSB
Start time: Tue, Oct 31 2023, 1:10PM

In this talk, I will present recent findings pertaining to the comprehension of widely used unsupervised learning methods in the context of that a manifold is embedded in a low-dimensional Euclidean subspace and corrupted by high-dimensional noise. Specifically, I will delve into Diffusion Map (DM), Alternating Diffusion (AD) and Multiview Diffusion Map (MDM). This talk is based on several joint works mainly with Hau-Tieng Wu (Courant, NYU).