The van der Pol physical reservoir computer

Abstract

The van der Pol oscillator has historical and practical significance to spiking neural networks. It was proposed as one of the first models for heart oscillations, and it has been used as the building block for spiking neural networks. Furthermore, the van der Pol oscillator is also readily implemented as an electronic circuit. For these reasons, we chose to implement the van der Pol oscillator as a physical reservoir computer to highlight its computational ability, even when it is not in an array. The van der Pol physical reservoir computer is explored using various logical tasks with numerical simulations, and a field-programmable analog array circuit for the van der Pol system is constructed to verify its use as a reservoir computer. As the van der Pol oscillator can be easily constructed with commercial-off-the-shelf circuit components, this physical reservoir computer could be a viable option for computing on edge devices. We believe this is the first time that the van der Pol oscillator has been demonstrated as a physical reservoir computer.

Physical Reservoir Computing Enabled by Solitary Waves and Biologically Inspired Nonlinear Transformation of Input Data

“…In the generative regime, the implementation of Step 7 of the computational procedure outlined in Section 2.1 corresponds to the introduction of a feedback loop from the output of the RC system to its input. Subsequently, the reservoir can be considered to be a selfoscillator [84], which is an established fact [85].…”

Reservoir Computing Using Measurement-Controlled Quantum Dynamics

“…The generated time series is then split into two parts used at the training and testing stages, respectively. In this test task, the reservoir operates in the generative mode, also known as the freerunning forecast, where the output produced by a trained reservoir in the previous time step serves as an input at the next time step, i.e., u n+1 = y n [21] (in other words, the reservoir acts as a self-generator [58]). We stress that we deliberately choose to test the reservoir in the generative mode because, as shown in Refs.…”