5 citations · 5 across the 6 of their papers we have counts for
7 papers
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…
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 interac…
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 m…
Superdense Coding and Stabiliser Codes with Ising-coupled Entanglement
Abel Jansma
A new class of quantum states is introduced by demanding that the computational measurement statistics approach the Boltzmann distribution of higher-order strongly coupled Ising mo…
A compositional game to fairly divide homogeneous cake
Abel Jansma
The central question in the game theory of cake-cutting is how to fairly distribute a finite resource among multiple players. Most research has focused on how to do this for a hete…
Higher-Order Interactions and Their Duals Reveal Synergy and Logical Dependence beyond Shannon-Information
Abel Jansma
Information-theoretic quantities reveal dependencies among variables in the structure of joint, marginal, and conditional entropies, but leave some fundamentally different systems…