拉沙病毒数学模型的径向基贝叶斯正则化方法

IF 2.9 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Zulqurnain Sabir, Abdallah Abou Assaad, Ali Alkak, Mustafa Bayram
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引用次数: 0

摘要

当前研究的目的是利用计算随机范式对拉沙病毒模型进行数值研究。拉沙病毒首先在尼日利亚被发现,20年后,拉沙病毒数学模型通过包括不同因素,如人与人之间的人口、啮齿动物人与人之间的人口和环境影响而得到发展。提出了一种基于径向基函数、15个神经元和贝叶斯正则化优化的单隐层神经网络结构来求解拉沙病毒数学模型。数据集的构建采用显式Runge-Kutta方案,该方案通过将统计数据分为训练占74%,认证占14%,测试占12%来降低均方误差。通过求解三种不同的模型案例,验证了所提方案的正确性,包括比较了在小数点后6-8位的结果、在10−11-10−14附近的最佳训练性能以及在10−06-10−08之间的绝对误差。设计的随机神经网络通过相关性、状态转移和误差直方图等测试获得了可靠性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A radial basis Bayesian regularization procedure for the Lassa virus mathematical model

The purpose of current research investigations is to perform the numerical investigations of the Lassa virus model by using the computing stochastic paradigms. The Lassa virus was identified first in Nigeria, and 20 years later, the mathematical Lassa virus model has been developed by including different factors such as population of human to human, rodent to human, and environmental influences. A single hidden layer neural network structure using a radial basis function, fifteen neurons, and optimization with Bayesian regularization is presented to solve the Lassa virus mathematical model. The construction of the dataset is performed by the explicit Runge–Kutta scheme, which reduces mean square error by dividing the statistics into training as 74%, while 14% for authentication and 12% for testing. The correctness of proposed scheme is authenticated by solving three different model cases including comparison of the results that are 6–8 decimal places, best training performances around 10−11–10−14, and absolute errors found as 10−06–10−08. The reliability of the designed stochastic neural network is obtained by using different tests including correlation, state transitions, and error histograms.

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来源期刊
The European Physical Journal Plus
The European Physical Journal Plus PHYSICS, MULTIDISCIPLINARY-
CiteScore
5.40
自引率
8.80%
发文量
1150
审稿时长
4-8 weeks
期刊介绍: The aims of this peer-reviewed online journal are to distribute and archive all relevant material required to document, assess, validate and reconstruct in detail the body of knowledge in the physical and related sciences. The scope of EPJ Plus encompasses a broad landscape of fields and disciplines in the physical and related sciences - such as covered by the topical EPJ journals and with the explicit addition of geophysics, astrophysics, general relativity and cosmology, mathematical and quantum physics, classical and fluid mechanics, accelerator and medical physics, as well as physics techniques applied to any other topics, including energy, environment and cultural heritage.
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