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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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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String Diagrams for Quantum Foundations, Computing and Natural Language Processing
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.