5 problems

Consider an idealized chemical reservoir computer whose governing equation is modeled as a chemical reaction network, with reaction rates spanning a wide range of scales. Relaxatio…

Let a reservoir computer be driven by a generic continuously differentiable ($C^1$) observation of a smooth dynamical system on an $m$-dimensional compact manifold. Reservoir-compu…

Embedding conjecture. It has been conjectured that, for a larger class of nonlinear discrete-time reservoir systems, the associated GS is an embedding; the same may also hold for c…

Conjecture. The shapes generated by the implementations above will cause a better memory capacity for the physical reservoir computer.

In an open-parametric driven system $g$ with scalar parameter $\alpha$ and input $\cev{u}$, let $X_n(\alpha,\bar{u})$ denote the set describing the collective states of the system…