most citedInstability of the Betti Sequence for Persistent Homology and a Stabilized Version of the Betti Sequence

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math.AT2022★ 1 cited

Exact multi-parameter persistent homology of time-series data: Fast and variable topological inferences

Keunsu Kim, Jae-Hun Jung

We propose a novel exact multi-parameter persistent homology method for analyzing time-series data utilizing the Liouville torus. In the field of topological data analysis (TDA), t…

math.AT2021★ 2 cited

Instability of the Betti Sequence for Persistent Homology and a Stabilized Version of the Betti Sequence

Megan Johnson, Jae-Hun Jung

Topological Data Analysis (TDA), a relatively new field of data analysis, has proved very useful in a variety of applications. The main persistence tool from TDA is persistent homo…