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Statistical inference on persistent homology of density filtration on Rips complex Kim, Jisu

Description

The statistical inference on persistent homology incurs computation on a grid of points, which is computationally infeasible if the dimension is high. This work tries to mitigate computations by building a valid confidence set for the persistent homology of a density filtration on Rips complex.

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Attribution-NonCommercial-NoDerivatives 4.0 International