Quantifying dynamical predictability: the pseudo-ensemble approach (Q964798)

In order to uncover connections between different information theoretic approaches and between dynamical and statistical approaches, a general theoretical framework to quantity information flow in ensemble forecasting of dynamical system using the concept of (\(\epsilon,\tau\))-entropy, scale-dependent Lyapunov exponent, and developed a pseudo-ensemble approach, is proposed. This pseudo-ensemble technique appears to be applicable under rather general conditions, one important situation being that observational data are available but the exact dynamical model is unknown.