3 papers
cs.IT2026
The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures
Alberto Liardi, Keenan J. A. Down, George Blackburne +2
Partial Information Decomposition (PID) has become one of the most prominent information-theoretic frameworks for describing the structure and quality of information in complex sys…
cs.IT2025
A Logarithmic Decomposition and a Signed Measure Space for Entropy
Keenan J. A. Down, Pedro A. M. Mediano
The Shannon entropy of a random variable has much behaviour analogous to a signed measure. Previous work has explored this connection by defining a signed measure on abstract sets,…
cs.IT2024
Algebraic Representations of Entropy and Fixed-Parity Information Quantities
Keenan J. A. Down, Pedro A. M. Mediano
Many information-theoretic quantities have corresponding representations in terms of sets. The prevailing signed measure space for characterising entropy, the -measure of Yeung,…