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 reservoirs governed by known dynamical rules such as Mackey-Glass or Ikeda-like systems but also to reservoirs whose dynamical model is not available. We also present results comparing the performance of the reservoir computer and the memory capacity given by the MMF.

中文翻译：

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具有单变量动态的基于延迟的油藏计算机的主存储器功能

我们表明，文献中考虑的许多基于延迟的储层计算机可以通过通用主存储功能（MMF）来表征。一旦计算了两个独立参数，该函数为任何具有小输入的基于延迟的单变量水库提供线性存储容量。此外，我们提出了 MMF 的分析描述，以实现其高效和快速的计算。我们的方法不仅可以应用于受已知动力学规则控制的储层，例如 Mackey-Glass 或 Ikeda 类系统，还可以应用于动力学模型不可用的储层。我们还提供了比较水库计算机性能和 MMF 提供的内存容量的结果。