论文标题

时间变化以减少储层计算机的大小

Time Shifts to Reduce the Size of Reservoir Computers

论文作者

Carroll, Thomas L., Hart, Joseph D.

论文摘要

储层计算机是一种用于进行计算的动力系统。通常,通过连接包括复发连接的网络中的大量非线性节点来构建储层计算机。为了获得准确的结果,储层通常包含数百至数千个节点。这种高维度使得使用动态系统理论中的工具很难分析储层计算机。此外,需要创建和连接大量非线性节点的需求使设计和构建模拟储层计算机比数字储层计算机更快且消耗功率更少。我们在这里证明了储层计算机可以分为两个部分。一小部分非线性节点(储层)和一组单独的时移储层输出信号。时变的输出信号可提高储层计算机的排名和内存,并且非线性节点的集合可能会创建输入动力学系统的嵌入。我们使用这种时间变动技术来从基于光电延迟的储层计算机中获得出色的性能,只有少量的虚拟节点。由于只需要几个非线性节点,因此构造储层计算机变得更加容易,基于延迟的储层计算机可以以更高的速度运行。

A reservoir computer is a type of dynamical system arranged to do computation. Typically, a reservoir computer is constructed by connecting a large number of nonlinear nodes in a network that includes recurrent connections. In order to achieve accurate results, the reservoir usually contains hundreds to thousands of nodes. This high dimensionality makes it difficult to analyze the reservoir computer using tools from dynamical systems theory. Additionally, the need to create and connect large numbers of nonlinear nodes makes it difficult to design and build analog reservoir computers that can be faster and consume less power than digital reservoir computers. We demonstrate here that a reservoir computer may be divided into two parts; a small set of nonlinear nodes (the reservoir), and a separate set of time-shifted reservoir output signals. The time-shifted output signals serve to increase the rank and memory of the reservoir computer, and the set of nonlinear nodes may create an embedding of the input dynamical system. We use this time-shifting technique to obtain excellent performance from an opto-electronic delay-based reservoir computer with only a small number of virtual nodes. Because only a few nonlinear nodes are required, construction of a reservoir computer becomes much easier, and delay-based reservoir computers can operate at much higher speeds.

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