论文标题
褪色内存回波状态网络是通用的
Fading memory echo state networks are universal
论文作者
论文摘要
相对于各种$ l ^p $ type标准，回声状态网络（ESN）最近被证明是输入/输出系统的通用近似值。当$ 1 \ leq p <\ infty $时，只需要$ p $ - 可整合性假设，而在情况下，$ p = \ infty $ a在输入上的均匀有限性假设是所需的。本说明表明，可以构建一个通用的ESN家族，其中包含具有回声状态和褪色内存属性的元素。迄今为止，文献中可用的结果和方法无法得出这个结论。
Echo state networks (ESNs) have been recently proved to be universal approximants for input/output systems with respect to various $L ^p$-type criteria. When $1\leq p< \infty$, only $p$-integrability hypotheses need to be imposed, while in the case $p=\infty$ a uniform boundedness hypotheses on the inputs is required. This note shows that, in the last case, a universal family of ESNs can be constructed that contains exclusively elements that have the echo state and the fading memory properties. This conclusion could not be drawn with the results and methods available so far in the literature.
