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Computational and Applied Mathematics Seminar: Shira Faigenbaum-Golovin, Duke University, Reconstruction, denoising, and studying the geometry of the base manifold in high-dimension space
Computational and Applied Mathematics Seminar: Shira Faigenbaum-Golovin, Duke University, Reconstruction, denoising, and studying the geometry of the base manifold in high-dimension space
It is common to assume that the data was sampled from a low-dimensional manifold in a high-dimensional space. In real life, neither the dimension of this manifold nor its geometry is known, and the data is often contaminated with noise and outliers. In this talk, we first present a method for denoising and reconstructing a…