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A common observation in data-driven applications is that high dimensional data has a low intrinsic dimension, at least locally.
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Majorization for changes in angles between subspaces, ritz values, and graph laplacian spectra
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Finding the homology of submanifolds with high confidence from random samples
Partha Niyogi, Stephen Smale, and Shmuel Weinberger · 2008
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Approximating the span of principal components via iterative least-squares
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