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We introduce a new method to estimate the Markov equivalence class of a directed acyclic graph (DAG) in the presence of hidden variables, in settings where the underlying DAG among the observed variables is sparse, and there are a few…

Methodology · Statistics 2018-08-07 Benjamin Frot , Preetam Nandy , Marloes H. Maathuis

The COVID-19 pandemic provides new motivation for a classic problem in epidemiology: estimating the empirical rate of transmission during an outbreak (formally, the time-varying reproduction number) from case counts. While standard methods…

Methodology · Statistics 2020-12-08 Bryan Wilder , Michael J. Mina , Milind Tambe

This paper develops an agent-based disease spread model on a contact network in an effort to guide efforts at surveillance testing in small to moderate facilities such as nursing homes and meat-packing plants. The model employs Monte Carlo…

Populations and Evolution · Quantitative Biology 2021-10-04 Yanyue Ding , Sudesh K. Agrawal , Jincheng Cao , Lauren Meyers , John J. Hasenbein

We propose a mathematical model based on probability theory to optimize COVID-19 testing by a multi-step batch testing approach with variable batch sizes. This model and simulation tool dramatically increase the efficiency and efficacy of…

Methodology · Statistics 2021-01-11 Hongshik Ahn , Haoran Jiang , Xiaolin Li

To forecast the time dynamics of an epidemic, we propose a discrete stochastic model that unifies and generalizes previous approaches to the subject. Viewing a given population of individuals or groups of individuals with given health state…

Mathematical models are formal and simplified representations of the knowledge related to a phenomenon. In classical epidemic models, a neglected aspect is the heterogeneity of disease transmission and progression linked to the viral load…

Physics and Society · Physics 2022-05-10 Rossella Della Marca , Nadia Loy , Andrea Tosin

Whole genome sequencing of pathogens from multiple hosts in an epidemic offers the potential to investigate who infected whom with unparalleled resolution, potentially yielding important insights into disease dynamics and the impact of…

Major advances in public health have resulted from disease prevention. However, prevention of a new infectious disease by vaccination or pharmaceuticals is made difficult by the slow process of vaccine and drug development. We propose an…

Populations and Evolution · Quantitative Biology 2021-04-15 Jussi Taipale , Ioannis Kontoyiannis , Sten Linnarsson

The COVID-19 pandemic has been characterised by multiple waves of transmission driven by interventions and emerging variants, challenging epidemic models that assume gradually evolving transmission dynamics. We propose a class of…

Applications · Statistics 2026-05-05 Patrick Aschermayr , Konstantinos Kalogeropoulos , Nikolaos Demiris

We analyze the dynamics of a population of independent random walkers on a graph and develop a simple model of epidemic spreading. We assume that each walker visits independently the nodes of a finite ergodic graph in a discrete-time…

Physics and Society · Physics 2021-01-19 Michael Bestehorn , Alejandro P. Riascos , Thomas M. Michelitsch , Bernard A. Collet

Stochastic state-transition models of infectious disease transmission can be used to deduce relevant drivers of transmission when fitted to data using statistically principled methods. Fitting this individual-level data requires inference…

Methodology · Statistics 2026-02-12 James Neill , Lloyd A. C. Chapman , Chris Jewell

In this paper, we propose algorithms that leverage a known community structure to make group testing more efficient. We consider a population organized in connected communities: each individual participates in one or more communities, and…

Information Theory · Computer Science 2021-03-18 Pavlos Nikolopoulos , Sundara Rajan Srinivasavaradhan , Tao Guo , Christina Fragouli , Suhas Diggavi

A wide range of approaches have been applied to manage the spread of global pandemic events such as COVID-19, which have met with varying degrees of success. Given the large-scale social and economic impact coupled with the increasing time…

Computers and Society · Computer Science 2020-09-29 Rachit Agarwal , Abhik Banerjee

The configuration model is a standard tool for uniformly generating random graphs with a specified degree sequence, and is often used as a null model to evaluate how much of an observed network's structure can be explained by its degree…

Social and Information Networks · Computer Science 2023-05-31 Upasana Dutta , Bailey K. Fosdick , Aaron Clauset

Multi-state models are commonly used for intermittent observations of a state over time, but these are generally based on the Markov assumption, that transition rates are independent of the time spent in current and previous states. In a…

Methodology · Statistics 2026-05-07 Christopher Jackson

Large-scale multiple testing tasks often exhibit dependence, and leveraging the dependence between individual tests is still one challenging and important problem in statistics. With recent advances in graphical models, it is feasible to…

Methodology · Statistics 2012-10-19 Jie Liu , Chunming Zhang , Catherine McCarty , Peggy Peissig , Elizabeth Burnside , David Page

Clinical data informs the personalization of health care with a potential for more effective disease management. In practice, this is achieved by subgrouping, whereby clusters with similar patient characteristics are identified and then…

Applications · Statistics 2024-04-17 Christof Naumzik , Alice Kongsted , Werner Vach , Stefan Feuerriegel

We study an individual-based stochastic SIR epidemic model with infection-age dependent infectivity on a large random graph, capturing individual heterogeneity and non-homogeneous connectivity. Each individual is associated with particular…

Probability · Mathematics 2026-02-11 Guodong Pang , Étienne Pardoux , Aurélien Velleret

We address the problem of modeling constrained hospital resources in the midst of the COVID-19 pandemic in order to inform decision-makers of future demand and assess the societal value of possible interventions. For broad applicability, we…

The outbreak of the novel coronavirus (COVID-19) is unfolding as a major international crisis whose influence extends to every aspect of our daily lives. Effective testing allows infected individuals to be quarantined, thus reducing the…

Machine Learning · Computer Science 2020-07-28 Rahul Singh , Fang Liu , Ness B. Shroff