• Corpus ID: 8369823

Persistence weighted Gaussian kernel for topological data analysis

@inproceedings{Kusano2016PersistenceWG,
  title={Persistence weighted Gaussian kernel for topological data analysis},
  author={Genki Kusano and Yasuaki Hiraoka and Kenji Fukumizu},
  booktitle={ICML},
  year={2016}
}
Topological data analysis (TDA) is an emerging mathematical concept for characterizing shapes in complex data. In TDA, persistence diagrams are widely recognized as a useful descriptor of data, and can distinguish robust and noisy topological properties. This paper proposes a kernel method on persistence diagrams to develop a statistical framework in TDA. The proposed kernel satisfies the stability property and provides explicit control on the effect of persistence. Furthermore, the method… 
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