3 papers
cs.LO2026
Complete Diagrammatic Axiomatisations of Relative Entropy
Ralph Sarkis, Fabio Zanasi
Relative entropy is a fundamental class of distances between probability distributions, with widespread applications in probability theory, statistics, and machine learning. In thi…
math.CT2026
Graded String Diagrams for Imprecise Probability and Causal Intervention
Ralph Sarkis, Fabio Zanasi
We introduce string diagrams for graded symmetric monoidal categories. Our approach includes a definition of graded monoidal theory and the corresponding freely generated syntactic…
cs.LO2025
Quantitative Monoidal Algebra: Axiomatising Distance with String Diagrams
Gabriele Lobbia, Wojciech Różowski, Ralph Sarkis +1
String diagrammatic calculi have become increasingly popular in fields such as quantum theory, circuit theory, probabilistic programming, and machine learning, where they enable re…