Steve Oudot

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20242026

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math.AT2026

Estimating the persistent homology of $R^{n}$ -valued functions using function-geometric multifiltrations

Ethan AndrÃ©, Jingyi Li, David Loiseaux +1

Given an unknown $R^{n}$ -valued function $f$ on a metric space $X$ , can we approximate the persistent homology of $f$ from a finite sampling of $X$ with known pairwise dista…

math.AT2024

Computation of $I^^{3}$ -linear projected barcodes for multiparameter persistence

Alex Fernandes, Steve Oudot, Francois Petit

The $I^^{3}$ -linear projected barcode was recently introduced as an alternative to the well-known fibered barcode for multiparameter persistence, in which restrictions of the modules t…

Estimating the persistent homology of Rn-valued functions using function-geometric multifiltrations

Computation of I^3-linear projected barcodes for multiparameter persistence

Estimating the persistent homology of $R^{n}$ -valued functions using function-geometric multifiltrations

Computation of $I^^{3}$ -linear projected barcodes for multiparameter persistence