水库计算系统采用离散忆阻器对混沌时间信号进行处理

IF 5.6 1区 数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Chaos Solitons & Fractals Pub Date : 2025-05-01 Epub Date: 2025-03-01 DOI:10.1016/j.chaos.2025.116230
Yue Deng , Shuting Zhang , Fang Yuan , Yuxia Li , Guangyi Wang
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引用次数: 0

摘要

储层计算(RC)是一种处理时间信号的高效神经网络,主要原因是它的训练成本比标准递归神经网络低得多。在这项工作中,研究了一种新型离散忆阻器(DM)模型,并提出了一种基于 DM 模型的简单二维混沌图,其中模拟了复杂的动力学。利用这个基于 DM 的地图作为储库,构建了一个基于 DM 的动态 RC 系统,并通过非线性回归和时间序列预测任务验证了其性能。我们的系统在非线性识别中实现了 99.99 % 的高准确率,在 Logistic 地图的时间序列预测中实现了 0.0974 的低均方根误差。这项工作可能会为未来开发基于忆阻器的高效 RC 系统处理更复杂的时间任务铺平道路。
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Reservoir computing system using discrete memristor for chaotic temporal signal processing
Reservoir computing (RC) is a highly efficient neural network for processing temporal signals, primarily due to its significantly lower training cost compared to standard recurrent neural networks. In this work, a novel discrete memristor (DM) model is investigated and a simple two-dimensional chaotic map based on the DM model is presented, in which complex dynamics are simulated. By utilizing this DM-based map as a reservoir, a dynamic DM-based RC system is constructed, and the performance is verified through nonlinear regression and time-series prediction tasks. Our system achieves a high accuracy rate of 99.99 % in the nonlinear recognitions, as well as a low root mean square error of 0.0974 in the time-series prediction of the Logistic map. This work may pave the way for the future development of high-efficiency memristor-based RC systems to handle more complex temporal tasks.
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来源期刊
Chaos Solitons & Fractals
Chaos Solitons & Fractals 物理-数学跨学科应用
CiteScore
13.20
自引率
10.30%
发文量
1087
审稿时长
9 months
期刊介绍: Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.
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