Network topology reconstructed from derivative-variable correlations

Zoran Levnajić; Arkady Pikovsky

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arXiv · 1306.2462

Network topology reconstructed from derivative-variable correlations

Zoran Levnajić·Arkady Pikovsky

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Abstract

A method of network reconstruction from the dynamical time series is introduced, relying on the concept of derivative-variable correlation. Using a tunable observable as a parameter, the reconstruction of any network with known interaction functions is formulated via simple matrix equation. We suggest a procedure aimed at optimizing the reconstruction from the time series of length comparable to the characteristic dynamical time scale. Our method also provides a reliable precision estimate. We illustrate the method's implementation via elementary dynamical models, and demonstrate its robustness to both model and observation errors.

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Zoran Levnajić, Arkady Pikovsky. 2013-10-28. Network topology reconstructed from derivative-variable correlations. https://arxiv.org/abs/1306.2462

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