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math.CT2025
Functoriality of Enriched Data Types
Lukas Mulder, Paige Randall North, Maximilien Péroux
In previous work, categories of algebras of endofunctors were shown to be enriched in categories of coalgebras of the same endofunctor, and the extra structure of that enrichment w…
math.CT2025
Categorical Diffusion of Weighted Lattices
Robert Ghrist, Miguel Lopez, Paige Randall North +1
We introduce a categorical formalization of diffusion processes for network-structured data, motivated by applications in data science and information dynamics. At the heart of our…