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math.CT2024
Generalized Gradient Descent is a Hypergraph Functor
Tyler Hanks, James Fairbanks, Matthew Klawonn
Cartesian reverse derivative categories (CRDCs) provide an axiomatic generalization of the reverse derivative, which allows generalized analogues of classic optimization algorithms…
math.CT2024
The diagrammatic presentation of equations in categories
Kevin Arlin, James Fairbanks, Tim Hosgood +1
Lifts of categorical diagrams against discrete opfibrations can be interpreted as presenting solutions to systems…