2022
DOI: 10.1007/s40747-022-00954-9
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Robust neural dynamics with adaptive coefficient applied to solve the dynamic matrix square root

Abstract: Zeroing neural networks (ZNN) have shown their state-of-the-art performance on dynamic problems. However, ZNNs are vulnerable to perturbations, which causes reliability concerns in these models owing to the potentially severe consequences. Although it has been reported that some models possess enhanced robustness but cost worse convergence speed. In order to address these problems, a robust neural dynamic with an adaptive coefficient (RNDAC) model is proposed, aided by the novel adaptive activation function an… Show more

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Cited by 8 publications
(5 citation statements)
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References 42 publications
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“…As can be seen from Figure 8, the addition of the attention module CBAM in the network results in a change in the model's loss function compared to the original network's loss function, indicating that the model's robustness (Jiang et al, 2022a) is affected. Replacing the network's loss function with SIoU can greatly improve the poor robustness introduced by the attention mechanism in the model.…”
Section: Comparison Of Experimental Resultsmentioning
confidence: 99%
“…As can be seen from Figure 8, the addition of the attention module CBAM in the network results in a change in the model's loss function compared to the original network's loss function, indicating that the model's robustness (Jiang et al, 2022a) is affected. Replacing the network's loss function with SIoU can greatly improve the poor robustness introduced by the attention mechanism in the model.…”
Section: Comparison Of Experimental Resultsmentioning
confidence: 99%
“…However, the OZNN method cannot deal with the DQRF (1) more efficiently. In the noisy case, even non-convergence can occur [35]. Therefore, the BAFARNN model is proposed in the following part.…”
Section: Bafarnn Solutionmentioning
confidence: 99%
“…In [32], the varying-parameter ZNNs are shown to be better than the traditional ZNN model in solving the dynamic Lyapunov function and Stein matrix equation. In practical applications, considering the variations in algorithm parameter values in different domains, some researchers have proposed intelligent optimization algorithms incorporating adaptive coefficients [33][34][35][36]. Chen et al [37] add adaptive parameters to the controller design to update data adaptively and ensure the controller's stability.…”
Section: Introductionmentioning
confidence: 99%
“…Deep learning is an efficient method for data analysis [6,7]. Jiang et al addressed the reliability concerns of zeroing neural networks using a robust neural dynamic model [8]. Wu et al developed an unsupervised generative adversarial network to effectively fuse panchromatic and multispectral images [9].…”
Section: Introductionmentioning
confidence: 99%