Nonlinear dimensionality reduction for clustering

作者：

Highlights：

• Particular conditions guarantee separability in low dimensional representations.

• One-dimensional representation is sufficient for constructing splitting boundaries.

• Divisive Hierarchical Clustering appropriate for non-linearly separable clusters.

摘要

•Particular conditions guarantee separability in low dimensional representations.•One-dimensional representation is sufficient for constructing splitting boundaries.•Divisive Hierarchical Clustering appropriate for non-linearly separable clusters.

论文关键词：Nonlinearity,Dimensionality reduction,Divisive hierarchical clustering,Manifold clustering

论文评审过程：Received 30 July 2019, Revised 5 June 2020, Accepted 17 June 2020, Available online 19 June 2020, Version of Record 29 June 2020.

论文官网地址：https://doi.org/10.1016/j.patcog.2020.107508