87 citations · 322 across the 21 of their papers we have counts for
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A Framework for Fast and Stable Representations of Multiparameter Persistent Homology Decompositions
David Loiseaux, Mathieu Carrière, Andrew J. Blumberg
Topological data analysis (TDA) is an area of data science that focuses on using invariants from algebraic topology to provide multiscale shape descriptors for geometric data sets…
Stable Vectorization of Multiparameter Persistent Homology using Signed Barcodes as Measures
David Loiseaux, Luis Scoccola, Mathieu Carrière +2
Persistent homology (PH) provides topological descriptors for geometric data, such as weighted graphs, which are interpretable, stable to perturbations, and invariant under, e.g.,…
MAGDiff: Covariate Data Set Shift Detection via Activation Graphs of Deep Neural Networks
Charles Arnal, Felix Hensel, Mathieu Carrière +4
Despite their successful application to a variety of tasks, neural networks remain limited, like other machine learning methods, by their sensitivity to shifts in the data: their p…