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arXiv · 2008.04278

Lie PCA: Density estimation for symmetric manifolds

Jameson Cahill·Dustin G. Mixon·Hans Parshall
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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 a variety of manifolds before applying it to various data sets for improved density estimation.

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BibTeXRIS

Jameson Cahill, Dustin G. Mixon, Hans Parshall. 2020-09-13. Lie PCA: Density estimation for symmetric manifolds. https://arxiv.org/abs/2008.04278

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