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- W3047707578 abstract "We introduce an extension to local principal component analysis for learning symmetric manifolds. In particular, we use a spectral method to approximate the Lie algebra corresponding to the symmetry group of the underlying manifold. We derive the sample complexity of our method for various manifolds before applying it to various data sets for improved density estimation." @default.
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- W3047707578 date "2023-07-01" @default.
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- W3047707578 title "Lie PCA: Density estimation for symmetric manifolds" @default.
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- W3047707578 doi "https://doi.org/10.1016/j.acha.2023.03.001" @default.
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