Identifying topology of general dynamical networks from noisy data
Choujun Zhan, Benjamin Yee Shing Li, Lam Fat Yeung · Journal of Statistical Mechanics Theory and Experiment · 2010
The reverse engineering problem of identifying the topology of dynamical networks with time varying intersystem coupling delays from noisy observation data is treated in this paper. A three-stage approach is adopted to solve this identification problem: first, feedback control is applied to the network and it is driven to its equilibrium state; then, the information obtained from the observed steady state responses is explored and the identification problem is converted into a mixed integer optimization problem; finally, an inference algorithm is applied to obtain all elements of the connectivity matrix. Several dynamical network examples are provided for illustration. Identification results show that the proposed method is robust to noise and computationally efficient.