The paper establishes graded functor categories and graded bifunctors over arbitrary monoidal V by working in V-graded categories, generalizing enriched categories and actegories, with examples including V-graded modules and presheaf categories.
Gavranovi´ c,Fundamental components of deep learning, Ph.D
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Category theory formalizes AI identity via reachability categories and natural transformations, yielding weak and strong interpretations of earlier propositional criteria based on trustworthiness levels.
String diagrams formalize constructor theory with locality-composition conflicts, enable wave-based Boolean logic design and optimization, and map Urdu text circuits equivalently to English ones up to gate translation in DisCoCirc.
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V-graded categories and V-W-bigraded categories: Functor categories and bifunctors over non-symmetric bases
The paper establishes graded functor categories and graded bifunctors over arbitrary monoidal V by working in V-graded categories, generalizing enriched categories and actegories, with examples including V-graded modules and presheaf categories.
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A Category Theory Account of AI Identity
Category theory formalizes AI identity via reachability categories and natural transformations, yielding weak and strong interpretations of earlier propositional criteria based on trustworthiness levels.