For every 1≤p≤∞, the persistence landscape is a 1-Lipschitz embedding from p-finite countable barcodes and persistence diagrams with a new p-Wasserstein distance into L^p.
Graded Persistence Dia- grams and Persistence Landscapes
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A Hilbert space embedding of persistence diagrams and barcodes
For every 1≤p≤∞, the persistence landscape is a 1-Lipschitz embedding from p-finite countable barcodes and persistence diagrams with a new p-Wasserstein distance into L^p.