论文标题

基于延迟的储层计算系统中召回功能的局限性

Limitations of the recall capabilities in delay based reservoir computing systems

论文作者

Köster, Felix, Ehlert, Dominik, Lüdge, Kathy

论文摘要

我们以HOPF正常形式为非线性分析了基于延迟的储层计算机的内存能力,并在数值上计算线性以及高阶召回功能。可能的物理实现可能是具有外部空腔的激光器,为此,通过电气注射给出信息。储层系统的计算能力的任务无关量化是通过完整的基础函数集完成的。我们的结果表明,即使对于恒定读数维度,总存储容量也取决于信息输入周期(也称为时钟周期)和系统的时间延迟之间的比率。发现最佳性能的时间延迟约为时钟周期的1.6倍

We analyze the memory capacity of a delay based reservoir computer with a Hopf normal form as nonlinearity and numerically compute the linear as well as the higher order recall capabilities. A possible physical realisation could be a laser with external cavity, for which the information is fed via electrical injection. A task independent quantification of the computational capability of the reservoir system is done via a complete orthonormal set of basis functions. Our results suggest that even for constant readout dimension the total memory capacity is dependent on the ratio between the information input period, also called the clock cycle, and the time delay in the system. Optimal performance is found for a time delay about 1.6 times the clock cycle

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