MexicanHatGenerator

class spikeometric.datasets.MexicanHatGenerator(n_neurons: float, a: float, sigma_1: float, sigma_2: float)

Bases: spikeometric.datasets.connectivity_generator.ConnectivityGenerator

A dataset of connectivity matrices for ring-networks of neurons, with weights generated from a Mexican hat distribution.

generate_W0()

Generate a ring network with a Mexican hat distribution of weights between neurons. The weights follow the equation:

\[W_{ij} = \exp\left(-\frac{d_{i,j}^2}{2\sigma_1^2}\right) - a\exp\left(-\frac{d{i,j}^2}{2\sigma_2^2}\right)\]

with \(d_{i,j}\) the distance between neurons \(i\) and \(j\) on the ring in number of neurons.