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Learning and Recognition in Excitable Chemical Reactor Networks

机译:可激发化学反应器网络中的学习与识别

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In further work on recognition and learning we present a reactor network consisting of four electrically coupled chemical reactors that are connected via Pt working electrodes in the fashion of a Hopfield network. Each reactor can assume either a periodic (P) or a nodal (N) state in the Belousov-Zhabotinsky (BZ) reaction. Two out of 16 (2~4) dynamical patterns are encoded by local coupling. The encoded patterns have been chosen such that their Hopfield matrix shows both positive and negative coupling strengths. To successfully recognize all remaining (14) patterns, an averaging procedure for all amplitudes was introduced. Numerical simulations using the seven-variable Gyorgyi-Field model for the BZ reaction are in good agreement with the recognition experiments. We also simulate an iterative learning method to build up the synaptic strengths from a random Hopfield matrix without any back-propagation of errors. Recognition occurs abruptly at a certain number of iterations in the absence of any noise reminiscent of a phase transition. The inclusion of parameter noise is found to always broaden the recognition probability. Parameter noise enhances the recognition of patterns in the early iteration stages, while the recognition probability is drastically reduced in the later stages of iterative learning.
机译:在关于识别和学习的进一步工作中,我们提出了一个反应堆网络,该反应堆网络由四个电耦合的化学反应堆组成,这些反应堆通过Pt工作电极以Hopfield网络的方式连接。在Belousov-Zhabotinsky(BZ)反应中,每个反应器可以呈现周期(P)或节点(N)状态。 16(2〜4)个动态模式中的两个通过局部耦合进行编码。选择编码模式,使它们的Hopfield矩阵同时显示正和负耦合强度。为了成功识别所有剩余的(14)模式,引入了所有振幅的平均过程。使用七变量Gyorgyi场模型进行BZ反应的数值模拟与识别实验非常吻合。我们还模拟了一种迭代学习方法,可从随机Hopfield矩阵中建立突触强度,而不会产生任何错误的反向传播。在没有任何让人想起相变的噪声的情况下,识别会以一定的迭代次数突然发生。发现包含参数噪声总是会扩大识别概率。参数噪声在迭代的早期阶段增强了模式识别,而在迭代学习的后期则大大降低了识别概率。

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