Causal Influences Decouple From Their Underlying Network Structure In Echo State Networks

@article{Fakhar2022CausalID,
  title={Causal Influences Decouple From Their Underlying Network Structure In Echo State Networks},
  author={Kayson Fakhar and Fatemeh Hadaeghi and Claus C. Hilgetag},
  journal={ArXiv},
  year={2022},
  volume={abs/2205.11947}
}
the node interactions. Our results suggest that causal structure-function relations in ESNs can be decomposed into two components, direct and indirect interactions. The former are based on influences relying on structural connections. The latter describe the effective communication between any two nodes through other intermediate nodes. These widely distributed indirect interactions may crucially contribute to the efficient performance of ESNs. 

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