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Impact of local network characteristics on network reconstruction
Gloria Cecchini1,2, Rok Cestnik2,3, Arkady Pikovsky2,4
1CSDC, Department of Physics and Astronomy, University of Florence, Sesto Fiorentino, Florence, Italy.
Physical Review. E
|March 19, 2021
Summary
Network inference from data can lead to false positive and false negative link conclusions. Local network properties, like shortest path length, influence these error probabilities in coupled oscillator networks, aiding in more accurate network reconstruction.
Area of Science:
- Network science
- Complex systems
- Systems biology
Background:
- Network inference from data is prone to errors, including false positives and false negatives regarding link presence.
- Understanding factors influencing these errors is crucial for accurate network reconstruction.
Purpose of the Study:
- To investigate the impact of local network characteristics on false positive (α) and false negative (β) link conclusion probabilities.
- To explore the utility of local connectivity measures for assessing confidence in inferred network links.
Main Methods:
- Analysis of networks of coupled oscillators.
- Examination of the relationship between local connectivity measures (shortest path length, detour degree) and error probabilities.
- Demonstration of using these measures for network confidence quantification.
Main Results:
- Local network properties significantly influence the probabilities of false positive and false negative link conclusions.
- Shortest path length and detour degree were identified as key local measures affecting error rates.
- These measures are estimable even when the true network structure is unknown.
Conclusions:
- Local connectivity measures provide valuable insights into the reliability of inferred network links.
- Utilizing shortest path length and detour degree can enhance network reconstruction accuracy through advanced thresholding techniques.
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