netneurotools.metrics.resource_efficiency_bin

netneurotools.metrics.resource_efficiency_bin(W_bin, lambda_prob=0.5)

Calculate resource efficiency and shortest-path probability.

The resource efficiency between nodes i and j is inversly proportional to the amount of resources (i.e. number of particles or messages) required to ensure with probability 0 < lambda < 1 that at least one of them will arrive at node j in exactly SPL steps, where SPL is the length of the shortest-path between i and j.

The shortest-path probability between nodes i and j is the probability that a single random walker starting at node i will arrive at node j by following (one of) the shortest path(s).

This function is adapted and optimized from the Brain Connectivity Toolbox.

Warning

Test before use.

Parameters:

• W ((N x N) array_like) – Binary (unweighted) undirected connection matrix.

• lambda_prob (float, optional) – Probability of reaching the target node. Default: 0.5

Returns:

• E_res ((N x N) ndarray) – Resource efficiency array

• prob_spl ((N x N) ndarray) – Shortest-path probability array

References

[1]

Goñi, J., Avena-Koenigsberger, A., Velez de Mendizabal, N., van den Heuvel, M. P., Betzel, R. F., & Sporns, O. (2013). Exploring the morphospace of communication efficiency in complex networks. PLoS One, 8(3), e58070.