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math.CT2025
Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks
Vincent Abbott, Kotaro Kamiya, Gerard Glowacki +3
How do we enable artificial intelligence models to improve themselves? This is central to exponentially improving generalized artificial intelligence models, which can improve thei…
math.CT2024
Diagrammatic Negative Information
Vincent Abbott, Gioele Zardini
The flow of information through a complex system can be readily understood with category theory. However, negative information (e.g., what is not possible) does not have an immedia…
math.CT2024
Functor String Diagrams: A Novel Approach to Flexible Diagrams for Applied Category Theory
Vincent Abbott, Gioele Zardini
The study of abstraction and composition - the focus of category theory - naturally leads to sophisticated diagrams which can encode complex algebraic semantics. Consequently, thes…