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math.AT2026
Transport based embeddings with topological guarantees
Erik Carlsson, John Carlsson
Point clouds arising in image collections, samples from Markov chain Monte Carlo, or states of a random walk, often have a simple underlying geometry which is obscured by noise, hi…
math.AT2021
A new construction for sublevel set persistence
Erik Carlsson, John Carlsson
We construct a filtered simplicial complex associated to a subset , a function with compactly supported sublevel sets…