Symmetry aware reservoir computing

[MartinuzziFrancesco]

Brief description

Symmetry aware reservoir computing breaks the simmetries built in in echo state networks by essentially squaring a portion of the states before feeding them to the last layer.

Suggested addition

A method that implements

$$\begin{equation} g(r_i) = \begin{cases} r_i^2, & \text{if } i \leq \eta_r N, \\\ r_i, & \text{if } i > \eta_r N. \end{cases} \end{equation}$$

It should look something like

new_states = PartialSquare(eta)

where eta is the portion of states to be squared

Source

Physical reviews E, also available on arxiv