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10/27/2021
Algorithmic Reconstruction of the Fiber of Persistent Homology on Cell Complexes
Let K be a finite simplicial, cubical, delta or CW complex. The persiste...
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09/01/2021
A Gradient Sampling Algorithm for Stratified Maps with Applications to Topological Data Analysis
We introduce a novel gradient descent algorithm extending the well-known...
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01/10/2021
Optimisation of Spectral Wavelets for Persistence-based Graph Classification
A graph's spectral wavelet signature determines a filtration, and conseq...
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10/02/2019
A Framework for Differential Calculus on Persistence Barcodes
We define notions of differentiability for maps from and to the space of...
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06/24/2019
