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  • Publication
    Cold-starting of reservoir systems in the forecasting of dynamical systems
    ( 2023-08-30) ;
    Hamzi, Boumediene
    ;
    Kemeth, Felix P.
    ;
    Kevrekidis, Yannis
    ;
    Manjunath, Gangadhara
    ;
    Ortega, Juan-Pablo
    ;
    Steynberg, Matthys Jacobus
    We show that under generic hypotheses, a map, called the starting map, can be defined on a short history of observations that maps to a unique initial condition in the reservoir space of an echo state network. The reservoir system's time series from that initial state can be used to run the system in autonomous mode. This map not only saves users from the long "washout" required but also helps forecast from any choice of a short history of the observations.