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In this article, we develop a data assimilation procedure to predict the evolution of epidemics with data uncertainty, with application to the Covid-19 pandemic. We construct a vademecum of solutions by solving the SIR epidemic model for a…

种群与进化 · 定量生物学 2020-04-28 T. Chacon Rebollo , D. Franco Coronil

We introduce the concept of epidemic-fitted wavelets which comprise, in particular, as special cases the number $I(t)$ of infectious individuals at time $t$ in classical SIR models and their derivatives. We present a novel method for…

This contribution analyzes the COVID-19 outbreak by comparably simple mathematical and numerical methods. The final goal is to predict the peak of the epidemic outbreak per country with a reliable technique. This is done by an algorithm…

物理与社会 · 物理学 2020-05-15 Robert Schaback

The recent COVID-19 pandemic has promoted vigorous scientific activity in an effort to understand, advice and control the pandemic. Data is now freely available at a staggering rate worldwide. Unfortunately, this unprecedented level of…

应用统计 · 统计学 2024-01-31 Yuansan Liu , Saransh Srivastava , Zuo Huang , Felisa J. Vázquez-Abad

Machine learning for the parameterization of subgrid-scale processes in climate models has been widely researched and adopted in a few models. A key challenge in developing data-driven parameterization schemes is how to properly represent…

大气与海洋物理 · 物理学 2024-02-29 L. Minah Yang , Edwin P. Gerber

Accurate epidemic forecasting is crucial for public health response, resource allocation, and outbreak intervention, but remains difficult with sparse, noisy, and highly non-stationary data. Because epidemics unfold across interacting…

人工智能 · 计算机科学 2026-05-08 Ruiqi Lyu , Alistair Turcan , Bryan Wilder

Viral signal in wastewater offers a promising opportunity to assess and predict the burden of infectious diseases. That has driven the widespread adoption and development of wastewater monitoring tools by public health organizations. Recent…

统计方法学 · 统计学 2024-10-11 K. Ken Peng , Charmaine B. Dean , Robert Delatolla , X. Joan Hu

During an infectious disease outbreak, biases in the data and complexities of the underlying dynamics pose significant challenges in mathematically modelling the outbreak and designing policy. Motivated by the ongoing response to COVID-19,…

Data assimilation is used to optimally fit a classical epidemiology model to the Johns Hopkins data of the Covid-19 pandemic. The optimisation is based on the confirmed cases and confirmed deaths. This is the only data available with…

种群与进化 · 定量生物学 2020-03-31 Jörn Lothar Sesterhenn

This paper deals with the problem of estimating variables in nonlinear models for the spread of disease and its application to the COVID-19 epidemic. First unconstrained methods are revisited and they are shown to correspond to the…

最优化与控制 · 数学 2020-08-20 Mauricio C. de Oliveira

Nowcasting and forecasting of epidemic spreading rely on incidence series of reported cases to derive the fundamental epidemiological parameters for a given pathogen. Two relevant drawbacks for predictions are the unknown fractions of…

种群与进化 · 定量生物学 2022-08-31 Guilherme S. Costa , Wesley Cota , Silvio C. Ferreira

The paper proposes to analyze epidemiological data using regression models which enable subject-matter (epidemiological) interpretation of such data whether with uncorrelated or correlated predictors. To this end, response functions should…

应用统计 · 统计学 2020-02-20 Anatoly N. Varaksin , Vladimir G. Panov

The rapid spreading of SARS-CoV-2 and its dramatic consequences, are forcing policymakers to take strict measures in order to keep the population safe. At the same time, societal and economical interactions are to be safeguarded. A wide…

无序系统与神经网络 · 物理学 2021-02-17 Lorenzo Chicchi , Lorenzo Giambagli , Lorenzo Buffoni , Duccio Fanelli

Accurate forecasts of the number of newly infected people during an epidemic are critical for making effective timely decisions. This paper addresses this challenge using the SIMLR model, which incorporates machine learning (ML) into the…

机器学习 · 计算机科学 2021-06-04 Roberto Vega , Leonardo Flores , Russell Greiner

The paper presents an algorithm for syndromic surveillance of an epidemic outbreak formulated in the context of stochastic nonlinear filtering. The dynamics of the epidemic is modeled using a generalized compartmental epidemiological model…

定量方法 · 定量生物学 2011-10-24 Alex Skvortsov , Branko Ristic

Timely and effective decision-making is critical during epidemics to reduce preventable infections and deaths. This demands integrated models that jointly capture disease dynamics, vaccine distribution, regional disparities, and behavioral…

社会与信息网络 · 计算机科学 2025-11-26 Kimiya Jozani , Nihal A. Sageer , Hode Eldardiry , Sait Tunc , Esra Buyuktahtakin Toy

Epidemic models are invaluable tools to understand and implement strategies to control the spread of infectious diseases, as well as to inform public health policies and resource allocation. However, current modeling approaches have…

统计方法学 · 统计学 2026-05-12 Caitlin Ward , Rob Deardon , Alexandra M. Schmidt

Epidemic forecasts are only as good as the accuracy of epidemic measurements. Is epidemic data, particularly COVID-19 epidemic data, clean and devoid of noise? Common sense implies the negative answer. While we cannot evaluate the…

种群与进化 · 定量生物学 2023-04-25 Long MA , Piet Van Mieghem , Maksim Kitsak

The COVID-19 pandemic has emphasized the need for a robust understanding of epidemic models. Current models of epidemics are classified as either mechanistic or non-mechanistic: mechanistic models make explicit assumptions on the dynamics…

机器学习 · 统计学 2022-01-14 Arnab Sarker , Ali Jadbabaie , Devavrat Shah

Applying a ML approach to the temporal variability of the Spike protein sequence enables us to identify, classify and track emerging virus variants. Our analysis is unbiased, in the sense that it does not require any prior knowledge of the…