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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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…

math.AT2022

Multi-parameter Module Approximation: an efficient and interpretable invariant for multi-parameter persistence modules with guarantees

David Loiseaux, Mathieu Carrière, Andrew J. Blumberg

In this article, we introduce a new parameterized family of topological descriptors, taking the form of candidate decompositions, for multi-parameter persistence modules, and we id…

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

Multi-parameter Module Approximation: an efficient and interpretable invariant for multi-parameter persistence modules with guarantees

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