47 citations · 174 across the 18 of their papers we have counts for
5 papers · 1 filter
Discrete-time signatures and randomness in reservoir computing
Christa Cuchiero, Lukas Gonon, Lyudmila Grigoryeva +2
A new explanation of geometric nature of the reservoir computing phenomenon is presented. Reservoir computing is understood in the literature as the possibility of approximating in…
Differentiable reservoir computing
Lyudmila Grigoryeva, Juan-Pablo Ortega
Much effort has been devoted in the last two decades to characterize the situations in which a reservoir computing system exhibits the so-called echo state (ESP) and fading memory…
Echo state networks are universal
Lyudmila Grigoryeva, Juan-Pablo Ortega
This paper shows that echo state networks are universal uniform approximants in the context of discrete-time fading memory filters with uniformly bounded inputs defined on negative…
Universal discrete-time reservoir computers with stochastic inputs and linear readouts using non-homogeneous state-affine systems
Lyudmila Grigoryeva, Juan-Pablo Ortega
A new class of non-homogeneous state-affine systems is introduced for use in reservoir computing. Sufficient conditions are identified that guarantee first, that the associated res…
Nonlinear memory capacity of parallel time-delay reservoir computers in the processing of multidimensional signals
Lyudmila Grigoryeva, Julie Henriques, Laurent Larger +1
This paper addresses the reservoir design problem in the context of delay-based reservoir computers for multidimensional input signals, parallel architectures, and real-time multit…