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.
Language
English
Keywords
Reservoir computing
generalized synchronization
starting map
forecasting
path continuation
dynamical systems
Event Title
GSI'23, 6th International Conference on Geometric Science of Information