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Addressing the challenge of scaling-up epidemiological inference to complex and heterogeneous models, we introduce Poisson Approximate Likelihood (PAL) methods. In contrast to the popular ODE approach to compartmental modelling, in which a…

统计方法学 · 统计学 2023-06-05 Michael Whitehouse , Nick Whiteley , Lorenzo Rimella

Epidemiological compartmental models are useful for understanding infectious disease propagation and directing public health policy decisions. Calibration of these models is an important step in offering accurate forecasts of disease…

机器学习 · 计算机科学 2023-12-12 Nikunj Gupta , Anh Mai , Azza Abouzied , Dennis Shasha

An assumed density approximate likelihood is derived for a class of partially observed stochastic compartmental models which permit observational over-dispersion. This is achieved by treating time-varying reporting probabilities as latent…

统计方法学 · 统计学 2025-05-22 Michael Whitehouse

The ongoing COVID-19 pandemic calls for a multi-faceted public health response comprising complementary interventions to control the spread of the disease while vaccines and therapies are developed. Many of these interventions need to be…

应用统计 · 统计学 2020-08-24 Andres Colubri , Kailash Yadav , Abhishek Jha , Pardis C. Sabeti

Stochastic compartmental models are prevalent tools for describing disease spread, but inference under these models is challenging for many types of surveillance data when the marginal likelihood function becomes intractable due to missing…

统计方法学 · 统计学 2026-02-05 Suchismita Roy , Alexander A. Fisher , Jason Xu

We introduce a new method for inference in stochastic epidemic models which uses recursive multinomial approximations to integrate over unobserved variables and thus circumvent likelihood intractability. The method is applicable to a class…

统计方法学 · 统计学 2021-02-24 Nick Whiteley , Lorenzo Rimella

Bayesian inference methods are useful in infectious diseases modeling due to their capability to propagate uncertainty, manage sparse data, incorporate latent structures, and address high-dimensional parameter spaces. However, parameter…

统计方法学 · 统计学 2025-04-29 Xiahui Li , Fergus Chadwick , Ben Swallow

The dynamics of contact networks and epidemics of infectious diseases often occur on comparable time scales. Ignoring one of these time scales may provide an incomplete understanding of the population dynamics of the infection process. We…

种群与进化 · 定量生物学 2021-02-09 Luis E C Rocha , Naoki Masuda

We study the empirical likelihood approach to construct confidence intervals for the optimal value and the optimality gap of a given solution, henceforth quantify the statistical uncertainty of sample average approximation, for optimization…

统计方法学 · 统计学 2016-10-25 Henry Lam , Enlu Zhou

In stochastic optimization, the population risk is generally approximated by the empirical risk. However, in the large-scale setting, minimization of the empirical risk may be computationally restrictive. In this paper, we design an…

机器学习 · 统计学 2016-11-22 Murat A. Erdogdu , Mohsen Bayati , Lee H. Dicker

Stochastic compartmental models are important tools for understanding the course of infectious diseases epidemics in populations and in prospective evaluation of intervention policies. However, calculating the likelihood for discretely…

统计计算 · 统计学 2018-07-26 Lam Si Tung Ho , Forrest W. Crawford , Marc A. Suchard

Simulating the spread of infectious diseases in human communities is critical for predicting the trajectory of an epidemic and verifying various policies to control the devastating impacts of the outbreak. Many existing simulators are based…

种群与进化 · 定量生物学 2021-04-22 Arash Mehrjou , Ashkan Soleymani , Amin Abyaneh , Samir Bhatt , Bernhard Schölkopf , Stefan Bauer

In multi-center clinical trials, due to various reasons, the individual-level data are strictly restricted to be assessed publicly. Instead, the summarized information is widely available from published results. With the advance of…

统计方法学 · 统计学 2021-01-05 Jing Qin , Yukun Liu , Pengfei Li

Recent pandemics have highlighted the critical role of infectious disease models in guiding public health decision-making, driving demand for realistic models that can provide timely answers under uncertainty. Compartmental models are…

统计方法学 · 统计学 2026-03-18 Xiahui Li , Fergus J. Chadwick , Ben Swallow

We consider the problem of inference for the states and parameters of a continuous-time multitype branching process from partially observed time series data. Exact inference for this class of models, typically using sequential Monte Carlo,…

统计方法学 · 统计学 2025-12-01 Angus Lewis , Antonio Parrella , John Maclean , Andrew J. Black

Many epidemic models are naturally defined as individual-based models: where we track the state of each individual within a susceptible population. Inference for individual-based models is challenging due to the high-dimensional state-space…

统计方法学 · 统计学 2025-08-04 Lorenzo Rimella , Christopher Jewell , Paul Fearnhead

In this paper we develop a likelihood-free approach for population calibration, which involves finding distributions of model parameters when fed through the model produces a set of outputs that matches available population data. Unlike…

统计方法学 · 统计学 2022-02-07 Christopher Drovandi , Brodie Lawson , Adrianne L Jenner , Alexander P Browning

The estimation of unknown parameters in simulations, also known as calibration, is crucial for practical management of epidemics and prediction of pandemic risk. A simple yet widely used approach is to estimate the parameters by minimizing…

统计方法学 · 统计学 2023-06-26 Chih-Li Sung , Ying Hung

Global strategies to contain a pandemic, such as social distancing and protective measures, are designed to reduce the overall transmission rate between individuals. Despite such measures, essential institutions, including hospitals,…

种群与进化 · 定量生物学 2022-09-07 Roberto Morán-Tovar , Henning Gruell , Florian Klein , Michael Lässig

Quantifying uncertainty in clinical predictions is critical for high-stakes diagnosis tasks. Conformal prediction offers a principled approach by providing prediction sets with theoretical coverage guarantees. However, in practice, patient…

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