3 papers
q-bio.QM2025
ALBATROSS: Cheap Filtration Based Geometry via Stochastic Sub-Sampling
Andrew J. Stier, Naichen Shi, Raed Al Kontar +2
Topological data analysis (TDA) detects geometric structure in biological data. However, many TDA algorithms are memory intensive and impractical for massive datasets. Here, we int…
math.AT2025
Computing homology of -complexes from their quotients
Christine Escher, Chad Giusti, Chung-Ping Lai
In this paper, we investigate the question of how one can recover the homology of a simplicial complex equipped with a regular action of a finite group from the structure o…
math.CO2024
Eulerian magnitude homology: subgraph structure and random graphs
Chad Giusti, Giuliamaria Menara
In this paper we explore the connection between the ranks of the magnitude homology groups of a graph and the structure of its subgraphs. To this end, we introduce variants of magn…