In this section
@article{Rosas:2025:10.1038/s42005-025-02250-7,
author = {Rosas, De Andraca FE and Gutknecht, A and Mediano, P and Gastpar, M},
doi = {10.1038/s42005-025-02250-7},
journal = {Communications Physics},
title = {Characterising high-order interdependence via entropic conjugation},
url = {http://dx.doi.org/10.1038/s42005-025-02250-7},
volume = {8},
year = {2025}
}
TY - JOUR
AB - High-order phenomena are pervasive across complex systems, yet their formal characterisation remains a formidable challenge. The literature provides various information-theoretic quantities that capture high-order interdependencies, but their conceptual foundations and mutual relationships are not well understood. The lack of unifying principles underpinning these quantities impedes a principled selection of appropriate analytical tools for guiding applications. Here we introduce entropic conjugation as a formal principle to investigate the space of possible high-order measures, which clarifies the nature of the existent high-order measures while revealing gaps in the literature. Additionally, entropic conjugation leads to notions of symmetry and skew-symmetry which serve as key indicators ensuring a balanced account of high-order interdependencies. Our analyses highlight the O-information as the unique skew-symmetric measure whose estimation cost scales linearly with system size, which spontaneously emerges as a natural axis of variation among high-order quantities in real-world and simulated systems.
AU - Rosas,De Andraca FE
AU - Gutknecht,A
AU - Mediano,P
AU - Gastpar,M
DO - 10.1038/s42005-025-02250-7
PY - 2025///
SN - 2399-3650
TI - Characterising high-order interdependence via entropic conjugation
T2 - Communications Physics
UR - http://dx.doi.org/10.1038/s42005-025-02250-7
UR - https://www.nature.com/articles/s42005-025-02250-7
VL - 8
ER -
