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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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I will present an informal discussion of several recent algorithms for nonlinear dimension reduction, both supervised and unsupervised, including Isomap, local linear embedding, Hessian-LLE, local tangent space alignment, semi-definite embedding, and contour regression. I'll try my best to highlight their differences and commonalities, and point out several topics that deserve further investigation. Connections to other areas such as semi-definite programming, mesh parameterization, surface reconstruction, and numerical solution of differential equations.