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Convergent cross sorting for estimating dynamic coupling.
Leo Breston1, Eric J Leonardis2, Laleh K Quinn2
1Program in Neurosciences, University of California, San Diego, La Jolla, CA, 92093, USA. lbreston@ucsd.edu.
Convergent Cross Sorting (CCS) enhances dynamic coupling analysis from time series data. This novel algorithm improves upon Convergent Cross Mapping (CCM), especially for short or noisy datasets like neural systems.
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Area of Science:
- Complex Systems Science
- Dynamical Systems Theory
- Computational Neuroscience
Background:
- Natural systems display complex behaviors arising from intricate interactions.
- Characterizing these dynamic couplings is crucial for understanding system behavior.
- Existing methods like Convergent Cross Mapping (CCM) have limitations with short or noisy time series data.
Purpose of the Study:
- Introduce Convergent Cross Sorting (CCS), a novel algorithm to estimate dynamic coupling from time series data.
- Enhance the identification of coupling existence, strength, and directionality.
- Improve performance over CCM, particularly for challenging datasets.
Main Methods:
- Developed Convergent Cross Sorting (CCS), an extension of Convergent Cross Mapping (CCM).
- CCS utilizes relative ranking of distances within state-space reconstructions.
- Algorithm validated on simulated data and real electrophysiological recordings.
Main Results:
- CCS demonstrates superior performance compared to CCM, especially with very short time series.
- The algorithm effectively identifies coupling in continuous dynamical systems with synchronous behavior.
- CCS accurately uncovers temporal and directional relationships in systems with rapid dynamic switches, such as neural systems.
Conclusions:
- Convergent Cross Sorting (CCS) offers a robust method for analyzing dynamic coupling in complex systems.
- The algorithm's improvements are significant for analyzing short, noisy, or rapidly changing time series data.
- CCS shows promise for applications in neuroscience and other fields studying interacting systems.