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Jun, 2023
G不变扩散映射
G-invariant diffusion maps
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Eitan Rosen, Xiuyuan Cheng, Yoel Shkolnisky
TL;DR
本文研究了从连续矩阵群操作下闭合的流形采样的数据嵌入问题,提出并证明了特定矩阵的特征向量与群的幺模表示元素的张量积可导出表征群作用的扩散映射,该方法在聚类和配准数据点方面表现出色。
Abstract
The
diffusion maps embedding
of data lying on a
manifold
have shown success in tasks ranging from dimensionality reduction and clustering, to data visualization. In this work, we consider embedding data sets whic
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