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There is now a CONTENT FREEZE for Mercury while we switch to a new platform. It began on Friday, March 10 at 6pm and will end on Wednesday, March 15 at noon. No new content can be created during this time, but all material in the system as of the beginning of the freeze will be migrated to the new platform, including users and groups. Functionally the new site is identical to the old one. webteam@gatech.edu
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Manifold learning has attracted a lot of attention in both machine learning and statistics communities. I will give an overview and present many interesting applications. An appealing feature of many manifold learning algorithms is that their solutions correspond to linear invariant subspaces. Hence mathematical analysis can be implemented on the behavior of their solutions in a relatively common framework. I will describe some recent results regarding the worst case performance of manifold learning algorithms under additive noises.