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- W4302980312 abstract "We present a method for finding high density, low-dimensional structures in noisy point clouds. These structures are sets with zero Lebesgue measure with respect to the $D$-dimensional ambient space and belong to a $d<D$ dimensional space. We call them singular features. Hunting for singular features corresponds to finding unexpected or unknown structures hidden in point clouds belonging to $R^D$. Our method outputs well defined sets of dimensions $d<D$. Unlike spectral clustering, the method works well in the presence of noise. We show how to find singular features by first finding ridges in the estimated density, followed by a filtering step based on the eigenvalues of the Hessian of the density." @default.
- W4302980312 created "2022-10-07" @default.
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- W4302980312 date "2016-06-01" @default.
- W4302980312 modified "2023-09-27" @default.
- W4302980312 title "Finding Singular Features" @default.
- W4302980312 doi "https://doi.org/10.48550/arxiv.1606.00265" @default.
- W4302980312 hasPublicationYear "2016" @default.
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