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Hawkes processes are a self-exciting stochastic process used to describe phenomena whereby past events increase the probability of the occurrence of future events. This work presents a flexible approach for modelling a variant of these,…

Methodology · Statistics 2022-08-08 Raiha Browning , Judith Rousseau , Kerrie Mengersen

Forecasts of the trajectory of an infectious agent can help guide public health decision making. A traditional approach to forecasting fits a computational model to structured data and generates a predictive distribution. However, human…

Background: Over the past few decades, numerous forecasting methods have been proposed in the field of epidemic forecasting. Such methods can be classified into different categories such as deterministic vs. probabilistic, comparative…

Practitioners have access to an abundance of language models and prompting strategies for solving many language modeling tasks; yet prior work shows that modeling performance is highly sensitive to both choices. Classical machine learning…

Accurate epidemic forecasting is critical for informing public health decisions and timely interventions. While Physics-Informed Neural Networks have shown promise in various scientific domains, their potential application to real-time…

Physics and Society · Physics 2026-05-20 Martina Rama , Gabriele Santin , Giulia Cencetti , Michele Tizzoni , Bruno Lepri

Modeling and control of epidemics such as the novel Corona virus have assumed paramount importance at a global level. A natural and powerful dynamical modeling framework to use in this context is a continuous time Markov decision process…

Physics and Society · Physics 2023-04-13 Amal Roy , Chandramani Singh , Y. Narahari

We approach the development of models and control strategies of susceptible-infected-susceptible (SIS) epidemic processes from the perspective of marked temporal point processes and stochastic optimal control of stochastic differential…

Optimization and Control · Mathematics 2018-12-04 Lars Lorch , Abir De , Samir Bhatt , William Trouleau , Utkarsh Upadhyay , Manuel Gomez-Rodriguez

Epidemiological models for the spread of pathogens in a population are usually only able to describe a single pathogen. This makes their application unrealistic in cases where multiple pathogens with similar symptoms are spreading…

Social and Information Networks · Computer Science 2018-05-16 Nir Levy , Michael Iv , Elad Yom-Tov

We develop a feedback control method for networked epidemic spreading processes. In contrast to most prior works which consider mean field, open-loop control schemes, the present work develops a novel framework for feedback control of…

Optimization and Control · Mathematics 2017-03-23 Nicholas J. Watkins , Cameron Nowzari , George J. Pappas

The stochastic block model (SBM) is one of the most widely used generative models for network data. Many continuous-time dynamic network models are built upon the same assumption as the SBM: edges or events between all pairs of nodes are…

Methodology · Statistics 2022-07-08 Hadeel Soliman , Lingfei Zhao , Zhipeng Huang , Subhadeep Paul , Kevin S. Xu

We investigate spatio-temporal event analysis using point processes. Inferring the dynamics of event sequences spatiotemporally has many practical applications including crime prediction, social media analysis, and traffic forecasting. In…

Machine Learning · Computer Science 2021-02-17 Fatih Ilhan , Suleyman Serdar Kozat

The growing number of infectious disease outbreaks, like the one caused by the SARS-CoV-2 virus, underscores the necessity of actuarial models that can adapt to epidemic-driven risks. Traditional life insurance frameworks often rely on…

Applications · Statistics 2025-08-12 Achraf Zinihi , Matthias Ehrhardt , Moulay Rchid Sidi Ammi

The hybrid Monte Carlo (HMC) algorithm is arguably the most efficient sampling method for general probability distributions of continuous variables. Together with exact Fourier acceleration (EFA) the HMC becomes equivalent to direct…

High Energy Physics - Lattice · Physics 2025-07-23 Johann Ostmeyer

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…

Populations and Evolution · Quantitative Biology 2023-11-09 Maxwell H. Wang , Jukka-Pekka Onnela

The effect of spatial correlations on the spread of infectious diseases was investigated using a stochastic SIR (Susceptible-Infective-Recovered) model on complex networks. It was found that in addition to the reduction of the effective…

Populations and Evolution · Quantitative Biology 2007-05-23 J. Verdasca , M. M. Telo da Gama , A. Nunes , N. R. Bernardino , J. M. Pacheco , M. C. Gomes

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…

Methodology · Statistics 2021-02-24 Nick Whiteley , Lorenzo Rimella

Pairwise models are used widely to model epidemic spread on networks. These include the modelling of susceptible-infected-removed (SIR) epidemics on regular networks and extensions to SIS dynamics and contact tracing on more exotic networks…

Populations and Evolution · Quantitative Biology 2018-09-24 István Z. Kiss , Joel C. Miller , Péter L. Simon

Sequential Monte Carlo (SMC) methods have recently shown successful results for conditional sampling of generative diffusion models. In this paper we propose a new diffusion posterior SMC sampler achieving improved statistical efficiencies,…

Machine Learning · Statistics 2025-08-25 Zheng Zhao

A stochastic epidemic model is defined in which each individual belongs to a household, a secondary grouping (typically school or workplace) and also the community as a whole. Moreover, infectious contacts take place in these three settings…

Applications · Statistics 2009-08-17 Tom Britton , Theodore Kypraios , Philip O'Neill

Infectious diseases are a threat for human health with tremendous impact on our society at large. The recent COVID-19 pandemic, caused by the SARS-CoV-2, is the latest example of a highly infectious disease ravaging the world, since late…

Populations and Evolution · Quantitative Biology 2021-09-17 Giacomo Cacciapaglia , Corentin Cot , Michele Della Morte , Stefan Hohenegger , Francesco Sannino , Shahram Vatani
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