David Loiseaux

activity

20222025

most citedA Framework for Fast and Stable Representations of Multiparameter Persistent Homology Decompositions

4 citations · 9 across the 6 of their papers we have counts for

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Showing 2024Show all

2 papers · 1 filter

math.AT2024

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

Ethan André, 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…

cs.CG2024★ 2 cited

Differentiability and Optimization of Multiparameter Persistent Homology

Luis Scoccola, Siddharth Setlur, David Loiseaux +2

Real-valued functions on geometric data -- such as node attributes on a graph -- can be optimized using descriptors from persistent homology, allowing the user to incorporate topol…

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

Differentiability and Optimization of Multiparameter Persistent Homology

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