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    Master Memory Function for Delay-Based Reservoir Computers With Single-Variable Dynamics
    ([New York, NY] : IEEE, 2022) Köster, Felix; Yanchuk, Serhiy; Lüdge, Kathy
    We show that many delay-based reservoir computers considered in the literature can be characterized by a universal master memory function (MMF). Once computed for two independent parameters, this function provides linear memory capacity for any delay-based single-variable reservoir with small inputs. Moreover, we propose an analytical description of the MMF that enables its efficient and fast computation. Our approach can be applied not only to single-variable delay-based reservoirs governed by known dynamical rules, such as the Mackey–Glass or Stuart–Landau-like systems, but also to reservoirs whose dynamical model is not available.