115 citations · 134 across the 4 of their papers we have counts for
4 papers
On the Expectation of a Persistence Diagram by the Persistence Weighted Kernel
Genki Kusano
In topological data analysis, persistent homology characterizes robust topological features in data and it has a summary representation, called a persistence diagram. Statistical r…
Kernel method for persistence diagrams via kernel embedding and weight factor
Genki Kusano, Kenji Fukumizu, Yasuaki Hiraoka
Topological data analysis is an emerging mathematical concept for characterizing shapes in multi-scale data. In this field, persistence diagrams are widely used as a descriptor of…
Persistence weighted Gaussian kernel for topological data analysis
Genki Kusano, Kenji Fukumizu, Yasuaki Hiraoka
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 descri…
Coverage Criterion in Sensor Networks Stable under Perturbation
Yasuaki Hiraoka, Genki Kusano
To the coverage problem of sensor networks, V. de Silva and R. Ghrist (2007) developed several approaches based on (persistent) homology theory. Their criteria for the coverage are…