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Published on: June 27, 2013
Expanding the transfer entropy to identify information subgraphs in complex systems
S Stramaglia1, Guo-Rong Wu, M Pellicoro
1Dipartimento di Fisica, Universitá degli Studi di Bari and Istituto Nazionale di Fisica Nucleare, Sezione di Bari, via Orabona 4, 70126 Bari, Italy.
We expanded transfer entropy to identify key variables predicting future states. High values reveal information circuits, indicating synergistic or redundant information flow in complex systems.
Area of Science:
- Information theory
- Complexity science
- Neuroscience
Background:
- Transfer entropy quantifies information flow between variables.
- Identifying causal relationships and information processing in complex systems is challenging.
- Existing methods may not fully capture irreducible information contributions.
Purpose of the Study:
- To formally expand transfer entropy for identifying irreducible sets of predictive variables.
- To characterize informational circuits within systems based on variable contributions.
- To investigate the synergetic or redundant nature of information transfer.
Main Methods:
- Formal mathematical expansion of transfer entropy.
- Development of a method to identify "multiplets" of variables.
- Analysis of variable contributions and their informational character (synergetic/redundant).
Main Results:
- The proposed method identifies irreducible sets of variables crucial for predicting future states.
- High "multiplet" values indicate the presence of informational circuits.
- The sign of contribution reveals whether information flow is synergetic or redundant.
Conclusions:
- The expanded transfer entropy offers a novel approach to dissecting information processing in complex systems.
- This framework can reveal underlying informational architectures and their dynamics.
- Preliminary results show promise in analyzing neuroimaging data (fMRI, EEG).
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