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相关论文: Contemporary statistical inference for infectious …

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We develop a new methodology for the efficient computation of epidemic final size distributions for a broad class of Markovian models. We exploit a particular representation of the stochastic epidemic process to derive a method which is…

种群与进化 · 定量生物学 2015-01-06 Andrew J. Black , J. V. Ross

In many epidemiological contexts, disease occurrences and their rates are naturally modelled by counting processes and their intensities, allowing an analysis based on martingale methods. These methods lend themselves to extensions of…

统计理论 · 数学 2007-06-13 Larry Goldstein , Bryan Langholz

Approximate variational inference has shown to be a powerful tool for modeling unknown complex probability distributions. Recent advances in the field allow us to learn probabilistic models of sequences that actively exploit spatial and…

机器学习 · 统计学 2016-06-15 Maximilian Soelch , Justin Bayer , Marvin Ludersdorfer , Patrick van der Smagt

This paper investigates the dynamics of infectious diseases with a non-exponentially distributed infectious period. This is achieved by considering a multi-stage infection model on networks. Using pairwise approximation with a standard…

物理与社会 · 物理学 2015-11-23 N. Sherborne , K. B. Blyuss , I. Z. Kiss

Stochasticity and spatial heterogeneity are of great interest recently in studying the spread of an infectious disease. The presented method solves an inverse problem to discover the effectively decisive topology of a heterogeneous network…

人工智能 · 计算机科学 2015-03-13 Yoshiharu Maeno

Intuitively, sampling is likely to be more efficient for prevalence estimation, if the cases (or positives) have a relatively higher representation in the sample than in the population. In case the virus is transmitted via personal…

应用统计 · 统计学 2020-11-18 Li-Chun Zhang

Throughout the course of an epidemic, the rate at which disease spreads varies with behavioral changes, the emergence of new disease variants, and the introduction of mitigation policies. Estimating such changes in transmission rates can…

统计方法学 · 统计学 2022-11-29 Jenny Huang , Raphaël Morsomme , David Dunson , Jason Xu

Stochastic epidemic models describe the dynamics of an epidemic as a disease spreads through a population. Typically, only a fraction of cases are observed at a set of discrete times. The absence of complete information about the time…

统计计算 · 统计学 2017-02-14 Jonathan Fintzi , Xiang Cui , Jon Wakefield , Vladimir N. Minin

Robust inference for stochastic dynamical systems is often hampered by sparse sampling and the absence of closed-form likelihoods. We introduce a Monte Carlo path-inference framework that leverages full-path statistics and bridge processes…

统计力学 · 物理学 2025-10-07 Javier Aguilar , Miguel A. Muñoz , Sandro Azaele

Two simple agent based models are often employed in epidemic studies: the susceptible-infected (SI) and the susceptible-infected-susceptible (SIS). Both models describe the time evolution of infectious diseases in networks in which vertices…

Stein's method compares probability distributions through the study of a class of linear operators called Stein operators. While mainly studied in probability and used to underpin theoretical statistics, Stein's method has led to…

For many infectious disease outbreaks, the at-risk population changes their behavior in response to the outbreak severity, causing the transmission dynamics to change in real-time. Behavioral change is often ignored in epidemic modeling…

统计方法学 · 统计学 2023-10-25 Caitlin Ward , Rob Deardon , Alexandra M. Schmidt

Timely and robust influenza incidence forecasting is critical for public health decision-making. This paper presents MAESTRO (Multi-modal Adaptive Estimation for Temporal Respiratory Disease Outbreak), a novel, unified framework that…

机器学习 · 计算机科学 2025-09-22 Hong Liu , Kerui Cen , Yanxing Chen , Zige Liu , Dong Chen , Zifeng Yang , Chitin Hon

We tackle limitations of ordinary differential equation-driven Susceptible-Infections-Removed (SIR) models and their extensions that have recently be employed for epidemic nowcasting and forecasting. In particular, we deal with challenges…

统计计算 · 统计学 2026-02-10 Angelos Alexopoulos , Paul Birrell , Daniela De Angelis

Modern longitudinal data, for example from wearable devices, measures biological signals on a fixed set of participants at a diverging number of time points. Traditional statistical methods are not equipped to handle the computational…

统计方法学 · 统计学 2023-03-23 Lan Luo , Jingshen Wang , Emily C. Hector

The statistics of outbreaks in a model for the propagation of meningococcal diseases is analyzed, taking into account the possibility that the population is fragmented into weakly connected patches. It is shown that, depending on the size…

种群与进化 · 定量生物学 2007-05-23 F. Guinea , V. A. A. Jansen , N. Stollenwerk

During an infectious disease pandemic, it is critical to share electronic medical records or models (learned from these records) across regions. Applying one region's data/model to another region often have distribution shift issues that…

机器学习 · 计算机科学 2021-03-12 Ye Ye , Andrew Gu

Individual-based models of contagious processes are useful for predicting epidemic trajectories and informing intervention strategies. In such models, the incorporation of contact network information can capture the non-randomness and…

种群与进化 · 定量生物学 2023-11-09 Maxwell H. Wang , Jukka-Pekka Onnela

Recent work has focused attention on statistical inference for the population distribution of the number of sexual partners based on survey data. The characteristics of these distributions are of interest as components of mathematical…

无序系统与神经网络 · 物理学 2007-05-23 Mark S. Handcock , James Holland Jones , Martina Morris

We consider a continuous-time Markov chain model of SIR disease dynamics with two levels of mixing. For this so-called stochastic households model, we provide two methods for inferring the model parameters---governing within-household…

种群与进化 · 定量生物学 2018-02-07 James N. Walker , Joshua V. Ross , Andrew J. Black