A new pseudometric on persistence barcodes, based on eigenvalues of normalized overlap matrices, is proposed and shown experimentally to be invariant under similarity transformations.
https://freesound.org/people/Teddy Frost/sounds/334536/ (2016)
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Stable Similarity Comparison of Persistent Homology Groups
A new pseudometric on persistence barcodes, based on eigenvalues of normalized overlap matrices, is proposed and shown experimentally to be invariant under similarity transformations.