A Note on Noisy Reservoir Computation

TL;DR

This paper extends the concept of Information Processing Capacity to account for stochastic noise in reservoir computing systems, quantifying how noise degrades computational performance.

Contribution

It introduces an extended definition of IPC that includes stochastic reservoir dynamics and provides a quantitative analysis of noise effects.

Findings

Noise reduces the Information Processing Capacity of reservoirs.

The extended IPC framework quantifies the impact of stochastic dynamics.

Results help in designing more robust reservoir computing systems.

Abstract

In this note we extend the definition of the Information Processing Capacity (IPC) by Dambre et al [1] to include the effects of stochastic reservoir dynamics. We quantify the degradation of the IPC in the presence of this noise. [1] Dambre et al. Scientific Reports 2, 514, (2012)