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math.AT2025
Diagrammatic Hochschild cohomology via cohomology of categories, and incidence algebras
Luigi Caputi, Francesco Vaccarino
In this paper, we study the Hochschild cohomology of diagrams of algebras introduced by Gerstenhaber and Schack and provide computations for filtrations of incidence algebras. Our…
cs.LG2025
Persistent reachability homology in machine learning applications
Luigi Caputi, Nicholas Meadows, Henri Riihimäki
We explore the recently introduced persistent reachability homology (PRH) of digraph data, i.e. data in the form of directed graphs. In particular, we study the effectiveness of PR…