Lie PCA: Density estimation for symmetric manifolds
نویسندگان
چکیده
We introduce an extension to local principal component analysis for learning symmetric manifolds. In particular, we use a spectral method approximate the Lie algebra corresponding symmetry group of underlying manifold. derive sample complexity our various manifolds before applying it data sets improved density estimation.
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2023
ISSN: ['1096-603X', '1063-5203']
DOI: https://doi.org/10.1016/j.acha.2023.03.001