Effects of hidden nodes on noisy network dynamics
Beverly Gemao1,2, Pik-Yin Lai1
1Department of Physics and Center for Complex Systems, National Central University, Chung-Li District, Taoyuan City 320, Taiwan, Republic of China.
Physical Review. E
|July 17, 2021
Summary
We developed a method to analyze network dynamics with unobserved nodes. This approach reveals hidden network connections by studying effective noise patterns in observed nodes.
Area of Science:
- Complex systems
- Network science
- Statistical physics
Background:
- Coupled network dynamics are often partially observable.
- Unobserved (hidden) nodes influence observed dynamics through effective noise.
Purpose of the Study:
- To analyze the spatial and temporal correlations of effective noise caused by hidden nodes.
- To develop a method for inferring hidden network properties from observable dynamics.
Main Methods:
- Analytical derivation of effective noise correlations.
- Simulations on various network types (random, small-world, directed, undirected).
- Network reconstruction techniques applied to noisy dynamics.
Main Results:
- Effective noise exhibits correlations linked to hidden network structure.
- The proposed scheme accurately infers hidden node count and weighted connections.
Conclusions:
- Hidden network structure can be inferred from observable dynamics.
- This method offers insights into complex systems with partial observability.
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