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cs.IT2025
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…
cs.GT2025
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…
cs.AI2025
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…