4 papers
Möbius transforms and Shapley values for vector-valued functions on weighted directed acyclic multigraphs
Patrick Forré, Abel Jansma
Möbius inversion and Shapley values are two mathematical tools for characterizing and decomposing higher-order structure in complex systems. The former defines higher-order intera…
Engineering Emergence
Abel Jansma, Erik Hoel
A defining property of complex systems is that they have multiscale structure. How does this multiscale structure come about? We argue that within systems there emerges a hierarchy…
Decomposing Interventional Causality into Synergistic, Redundant, and Unique Components
Abel Jansma
We introduce a novel framework for decomposing interventional causal effects into synergistic, redundant, and unique components, building on the intuition of Partial Information De…
The Fast Möbius Transform: An algebraic approach to information decomposition
Abel Jansma, Pedro A. M. Mediano, Fernando E. Rosas
The partial information decomposition (PID) and its extension integrated information decomposition (ID) are promising frameworks to investigate information phenomena involving…