Coding and robustness of signal processing in streaming recurrent neural networks

Q3 Mathematics
V. Osipov, Viktor Nikiforov
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引用次数: 0

Abstract

Introduction: When substantiating promising architectures of streaming recurrent neural networks, it becomes necessary to assess their stability in processing various input signals. For this, stability diagrams are constructed containing the results of simulation for each of the nodes of these diagrams. Such an estimation can be time-consuming and computationally intensive, especially when analyzing large neural networks. Purpose: Search for methods of quick construction of such diagrams and assessing the stability of streaming recurrent neural networks. Results: Analysis of the features of the stability diagrams under study showed that the nodes of the diagrams are grouped into continuous zones with the same ratio characteristics of the input signal processing defects. With this in mind, the article proposes a method for constructing these diagrams based on bypassing the boundaries of their zones. With this approach, you do not have to perform simulation for the interior nodes of each zone. The simulation should be performed only for the nodes adjacent to zone boundaries. Due to this, the number of nodes for which you need to perform simulation sessions is reduced by an order of magnitude. The influence of the input signal coding types on the streaming recurrent neural network stability has been investigated. It is shown that the representation of input signals in the form of sequences of single pulses with intersecting elements can provide greater stability as compared to pulses without any intersection.
流递归神经网络中信号处理的编码与鲁棒性
引言:在证明流式递归神经网络有前景的架构时,有必要评估其在处理各种输入信号时的稳定性。为此,构建了稳定性图,其中包含这些图中每个节点的模拟结果。这种估计可能耗时且计算密集,尤其是在分析大型神经网络时。目的:寻找快速构建此类图并评估流式递归神经网络稳定性的方法。结果:对所研究的稳定性图的特征分析表明,图的节点被分组为连续区域,具有相同的输入信号处理缺陷比率特征。考虑到这一点,本文提出了一种基于绕过其区域边界来构建这些图的方法。使用这种方法,不必对每个分区的内部节点执行模拟。应仅对分区边界附近的节点执行模拟。因此,需要执行模拟会话的节点数量会减少一个数量级。研究了输入信号编码类型对流递归神经网络稳定性的影响。与没有任何交叉的脉冲相比,以具有交叉元素的单个脉冲序列形式的输入信号的表示可以提供更大的稳定性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Informatsionno-Upravliaiushchie Sistemy
Informatsionno-Upravliaiushchie Sistemy Mathematics-Control and Optimization
CiteScore
1.40
自引率
0.00%
发文量
35
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