基于粒子群优化的时变权重可解释尖峰神经分类器

IF 2.3 3区 数学 Q1 MATHEMATICS Mathematics Pub Date : 2024-09-13 DOI:10.3390/math12182846
Mohammed Thousif, Shirin Dora, Suresh Sundaram
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引用次数: 0

摘要

本文介绍了一种具有时变权重的可解释尖峰神经分类器(IpT-SNC)。IpT-SNC 采用双层尖峰神经网络(SNN)架构,其中突触权重使用振幅调制的时变高斯函数建模。自调控粒子群优化(SRPSO)用于更新高斯函数的振幅、宽度和中心,以及输出层神经元的阈值。IpT-SNC 的开发是为了提高尖峰神经网络的可解释性。IpT-SNC 中的时变权重允许我们根据特定的输入尖峰来描述预测背后的原理。我们在 UCI 机器学习库中的十个基准数据集上评估了 IpT-SNC 的性能,并将其与其他学习算法的性能进行了比较。根据性能结果,IpT-SNC 提高了测试数据集的分类性能,最低为 0.5%,最高为 7.7%。通过弗里德曼检验和配对 t 检验等统计检验,评估了 IpT-SNC 与其他学习算法的显著性水平。此外,在具有挑战性的现实世界 BCI(脑机接口)竞赛 IV 数据集上,IpT-SNC 的分类准确率比现有分类器高出约 8%。结果表明,与其他算法相比,IpT-SNC 具有更好的泛化性能。
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A Particle Swarm Optimization-Based Interpretable Spiking Neural Classifier with Time-Varying Weights
This paper presents an interpretable, spiking neural classifier (IpT-SNC) with time-varying weights. IpT-SNC uses a two-layered spiking neural network (SNN) architecture in which weights of synapses are modeled using amplitude-modulated, time-varying Gaussian functions. Self-regulated particle swarm optimization (SRPSO) is used to update the amplitude, width, and centers of the Gaussian functions and thresholds of neurons in the output layer. IpT-SNC has been developed to improve the interpretability of spiking neural networks. The time-varying weights in IpT-SNC allow us to describe the rationale behind predictions in terms of specific input spikes. The performance of IpT-SNC is evaluated on ten benchmark datasets in the UCI machine learning repository and compared with the performance of other learning algorithms. According to the performance results, IpT-SNC enhances classification performance on testing datasets from a minimum of 0.5% to a maximum of 7.7%. The significance level of IpT-SNC with other learning algorithms is evaluated using statistical tests like the Friedman test and the paired t-test. Furthermore, on the challenging real-world BCI (Brain Computer Interface) competition IV dataset, IpT-SNC outperforms current classifiers by about 8% in terms of classification accuracy. The results indicate that IpT-SNC has better generalization performance than other algorithms.
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来源期刊
Mathematics
Mathematics Mathematics-General Mathematics
CiteScore
4.00
自引率
16.70%
发文量
4032
审稿时长
21.9 days
期刊介绍: Mathematics (ISSN 2227-7390) is an international, open access journal which provides an advanced forum for studies related to mathematical sciences. It devotes exclusively to the publication of high-quality reviews, regular research papers and short communications in all areas of pure and applied mathematics. Mathematics also publishes timely and thorough survey articles on current trends, new theoretical techniques, novel ideas and new mathematical tools in different branches of mathematics.
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