用改进的FIR滤波器预测巴西米纳斯吉拉斯州疫情,精度优于原方法。
Modification of a Numerical Method Using FIR Filters in a Time-dependent SIR Model for COVID-19
- 用带正则化的岭回归优化FIR滤波器系数,提升时变SIR模型拟合能力
- 在巴西米纳斯吉拉斯州数据上,新算法预测误差更小,尤其初期表现更优
- 适合关注疫情动态建模与数据驱动预测的公共卫生与计算研究者
陈一诚、陆平恩、张承尚和刘子轩利用有限冲激响应(FIR)线性系统滤波方法,追踪并预测新冠疫情中感染与康复人数。在疫苗尚未出现、防控依赖隔离的背景下,他们通过经典正则化优化问题(岭回归)估计FIR滤波器系数,称为岭系数。研究采用时变离散SIR模型构建滤波器。本文提出对陈等算法的微调:设定不同的FIR阶数与正则化参数。在巴西米纳斯吉拉斯州疫情初期阶段,使用该改进算法进行预测,并与真实数据对比评估。实验结果表明,在若干模拟场景下,新算法的逼近误差低于原算法,验证了其有效性。
原文摘要 · Abstract (English)
Authors Yi-Cheng Chen, Ping-En Lu, Cheng-Shang Chang, and Tzu-Hsuan Liu use the Finite Impulse Response (FIR) linear system filtering method to track and predict the number of people infected and recovered from COVID-19, in a pandemic context in which there was still no vaccine and the only way to avoid contagion was isolation. To estimate the coefficients of these FIR filters, Chen et al. used machine learning methods through a classical optimization problem with regularization (ridge regression). These estimated coefficients are called ridge coefficients. The epidemic mathematical model adopted by these researchers to formulate the FIR filters is the time-dependent discrete SIR. In this paper, we propose a small modification to the algorithm of Chen et al. to obtain the ridge coefficients. We then used this modified algorithm to track and predict the number of people infected and recovered from COVID-19 in the state of Minas Gerais/Brazil, within a prediction window, during the initial period of the pandemic. We also compare the predicted data with the respective real data to check how good the approximation is. In the modified algorithm, we set values for the FIR filter orders and for the regularization parameters, both different from the respective values defined by Chen et al. in their algorithm. In this context, the numerical results obtained by the modified algorithm in some simulations present better approximation errors compared to the respective approximation errors presented by the algorithm of Chen et al.
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