对于SIRC的流行延迟差异系统,一个随机规模的合神经网络程序
Zulqurnain Sabir1, Atef F Hashem2,3, Zill E Shams4
1Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon.
概括
这项研究引入了一种新的神经网络方法,用于解决与COVID-19动态相关的SIRC流行延迟差异模型 (SIRC-EDDM). 规模联梯度神经网络 (SCGNNs) 在数值模拟中表现出高精度和效率.
科学领域:
- 流行病学和计算数学计算数学
- 人工智能在疾病建模中的应用.
背景情况:
- 随着COVID-19的流行,人们需要精确的数学模型来了解疾病的传播.
- 延迟差异模型,如SIRC-EDDM,对于捕捉复杂的流行病动态至关重要.
- 数字解决方案对于分析和预测这些模型的行为至关重要.
研究的目的:
- 为SIRC-EDDM的数值解决方案开发和呈现一个随机计算结构.
- 调查尺度结合梯度神经网络 (SCGNNs) 对治疗SIRC-EDDM的疗效.
- 在SIRC-EDDM的不同场景中分析SCGNNs的数值性能.
主要方法:
- 为数值解决方案实施尺度对合梯度神经网络 (SCGNNs).
- 模拟SIRC流行动态,包括易受感染,感染,恢复和交叉免疫组.
- 使用Runge-Kutta方案进行验证,用于比较和评估绝对误差 (AE).
主要成果:
- 在SIRC-EDDM的三个不同案例中,SCGNNs在可以忽略的绝对误差 (10^-06到10^-08) 中实现了高精度.
- 使用火车,验证和测试数据观察到降低的平均平方误差 (MSE).
- 神经元分析表明,14个神经元提供了比4个神经元更高的准确性.
结论:
- SCGNNs为SIRC-EDDM的数值处理提供了一种熟练而准确的方法.
- 该研究通过全面的错误分析验证了SCGNNs的有效性,包括MSE,回归和相关性.
- 这些发现有助于推进流行病建模的计算方法,特别是COVID-19动态.
相关概念视频
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