ArticleEntropy (Basel, Switzerland)2020
Generalised Measures of Multivariate Information Content.
Article in Entropy (Basel, Switzerland), 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers.
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Who cites it
14 citing papers in PubMed.
- Null models for comparing information decomposition across complex systems.PLoS computational biology · 2025Article
- Leveraging multivariate information for community detection in functional brain networks.Communications biology · 2025Article
- A Synergistic Perspective on Multivariate Computation and Causality in Complex Systems.Entropy (Basel, Switzerland) · 2024Article
- Bias in O-Information Estimation.Entropy (Basel, Switzerland) · 2024Article
- Generalized decomposition of multivariate information.PloS one · 2024Article
- Statistical Approaches to Identify Pairwise and High-Order Brain Functional Connectivity Signatures on a Single-Subject Basis.Life (Basel, Switzerland) · 2023Article
- Partial entropy decomposition reveals higher-order information structures in human brain activity.Proceedings of the National Academy of Sciences of the United States of America · 2023Article
- Multivariate information theory uncovers synergistic subsystems of the human cerebral cortex.Communications biology · 2023Article
- Understanding multimorbidity requires sign-disease networks and higher-order interactions, a perspective.Frontiers in systems biology · 2023Article
- Decomposing past and future: Integrated information decomposition based on shared probability mass exclusions.PloS one · 2023Article
- High-order functional redundancy in ageing explained via alterations in the connectome in a whole-brain model.PLoS computational biology · 2022Article
- Discovering Higher-Order Interactions Through Neural Information Decomposition.Entropy (Basel, Switzerland) · 2021Article
- Estimation of Granger causality through Artificial Neural Networks: applications to physiological systems and chaotic electronic oscillators.PeerJ. Computer science · 2021Article
- A Path-Based Partial Information Decomposition.Entropy (Basel, Switzerland) · 2020Article
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Authors and funding
2 authors.
Funding
Abstract
The entropy of a pair of random variables is commonly depicted using a Venn diagram. This representation is potentially misleading, however, since the multivariate mutual information can be negative. This paper presents new measures of multivariate information content that can be accurately depicted using Venn diagrams for any number of random variables. These measures complement the existing measures of multivariate mutual information and are constructed by considering the algebraic structure of information sharing. It is shown that the distinct ways in which a set of marginal observers can share their information with a non-observing third party corresponds to the elements of a free distributive lattice. The redundancy lattice from partial information decomposition is then subsequently and independently derived by combining the algebraic structures of joint and shared information content.
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Registered trials
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