Time-shift selection for reservoir computing using a rank-revealing QR algorithm

Autor: Hart, Joseph D., Sorrentino, Francesco, Carroll, Thomas L.
Rok vydání: 2022
Předmět:
Zdroj: Chaos 1 April 2023; 33 (4): 043133
Druh dokumentu: Working Paper
DOI: 10.1063/5.0141251
Popis: Reservoir computing, a recurrent neural network paradigm in which only the output layer is trained, has demonstrated remarkable performance on tasks such as prediction and control of nonlinear systems. Recently, it was demonstrated that adding time-shifts to the signals generated by a reservoir can provide large improvements in performance accuracy. In this work, we present a technique to choose the time-shifts by maximizing the rank of the reservoir matrix using a rank-revealing QR algorithm. This technique, which is not task dependent, does not require a model of the system, and therefore is directly applicable to analog hardware reservoir computers. We demonstrate our time-shift selection technique on two types of reservoir computer: one based on an opto-electronic oscillator and the traditional recurrent network with a $tanh$ activation function. We find that our technique provides improved accuracy over random time-shift selection in essentially all cases.
Databáze: arXiv