10 citations · 22 across the 8 of their papers we have counts for
Showing 2022 · math.CTShow all
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math.CT2022★ 2 cited
Duoidal Structures for Compositional Dependence
Brandon T. Shapiro, David I. Spivak
We provide a categorical framework for mathematical objects for which there is both a sort of "independent" and "dependent" composition. Namely we model them as duoidal categories…
math.CT2022★ 2 cited
Enrichment of Algebraic Higher Categories
Brandon Shapiro
We provide a definition of enrichment that applies to a wide variety of categorical structures, generalizing Leinster's theory of enriched -multicategories. As a sample of newly…
math.CT2022★ 10 cited
Dynamic Operads, Dynamic Categories: From Deep Learning to Prediction Markets
Brandon T. Shapiro, David I. Spivak
Natural organized systems adapt to internal and external pressures and this happens at all levels of the abstraction hierarchy. Wanting to think clearly about this idea motivates o…