论文标题
Lie PCA：对称歧管的密度估计
Lie PCA: Density estimation for symmetric manifolds
论文作者
论文摘要
我们将扩展到用于学习对称歧管的本地主要组件分析。特别是，我们使用一种光谱方法来近似与基础歧管的对称组相对应的lie代数。在将其应用于各种数据集以改善密度估计的各种数据集之前，我们为各种歧管得出样本复杂性。
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.
