Recovering sparse networks: Basis adaptation and stability under extensions

[摘要] We consider the problem of recovering equations of motion from multivariate time series of oscillators interacting on sparse networks. We reconstruct the network from an initial guess which can include expert knowledge about the system such as main motifs and hubs. When sparsity is taken into account the number of data points needed is drastically reduced when compared to the least squares technique. We show that the sparse solution is stable under basis extensions, that is, once the correct network topology is obtained, the result does not change if further motifs are considered. (C) 2021 Elsevier B.V. All rights reserved.

[发布日期] 2021-10-01

[关键词] Sparse networks;Coupled phase oscillators;Sparse recovery method