论文标题
数据驱动的识别COVID-19的未报告案例数:界限和限制
Data-driven Identification of Number of Unreported Cases for COVID-19: Bounds and Limitations
论文作者
论文摘要
对于更好的准备和资源管理,必须进行准确的Covid-19预测。具体而言,在几个月或几个月内决定响应需要准确的长期预测,这在模型错误随时间累积时尤其具有挑战性。可以阻碍准确的长期预测的关键因素是未报告/无症状案例的数量。尽管已经进行了早期的血清学测试来估算此数字,但需要进行更多的测试以获得更可靠的结果。为了确定未报告/无症状病例的数量,我们采用了一种流行病学数据驱动的方法。我们表明,我们可以确定该比率的下限或实际情况上的上限是报告案件的因素。为此,我们提出了我们先前的异质感染率模型的扩展,并结合了未报告/无症状的病例。我们证明,只有从流行数据的一定时间段内可靠地估计未报告的病例的数量。在此过程中,我们构建了一种称为固定感染率法的算法,该算法确定了对学习比率的可靠绑定。我们还提出了两种启发式方法,以了解该比率并显示它们对模拟数据的有效性。我们使用我们的方法来识别纽约市和美国几个州实际报告案件比率的上限。我们的结果表明,在纽约的实际病例数量不能超过35次,在伊利诺伊州的数量不能超过35次,在马萨诸塞州的38次,在新泽西州的29次,比报道的案件不超过29次。
Accurate forecasts for COVID-19 are necessary for better preparedness and resource management. Specifically, deciding the response over months or several months requires accurate long-term forecasts which is particularly challenging as the model errors accumulate with time. A critical factor that can hinder accurate long-term forecasts, is the number of unreported/asymptomatic cases. While there have been early serology tests to estimate this number, more tests need to be conducted for more reliable results. To identify the number of unreported/asymptomatic cases, we take an epidemiology data-driven approach. We show that we can identify lower bounds on this ratio or upper bound on actual cases as a factor of reported cases. To do so, we propose an extension of our prior heterogeneous infection rate model, incorporating unreported/asymptomatic cases. We prove that the number of unreported cases can be reliably estimated only from a certain time period of the epidemic data. In doing so, we construct an algorithm called Fixed Infection Rate method, which identifies a reliable bound on the learned ratio. We also propose two heuristics to learn this ratio and show their effectiveness on simulated data. We use our approaches to identify the upper bounds on the ratio of actual to reported cases for New York City and several US states. Our results demonstrate with high confidence that the actual number of cases cannot be more than 35 times in New York, 40 times in Illinois, 38 times in Massachusetts and 29 times in New Jersey, than the reported cases.