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The simplest epidemiologic model composed by mutually exclusive compartments SIR (susceptible-infected-susceptible) is presented to describe a reality. From health concerns to situations related with marketing, informatics or even…

Physics and Society · Physics 2016-11-09 Helena Sofia Rodrigues

Probabilistic extensions of logic programming languages, such as ProbLog, integrate logical reasoning with probabilistic inference to evaluate probabilities of output relations; however, prior work does not account for potential statistical…

Programming Languages · Computer Science 2025-08-22 Jingbo Wang , Shashin Halalingaiah , Weiyi Chen , Chao Wang , Isil Dillig

The Susceptible-Infected-Susceptible model is a canonical model for emerging disease outbreaks. Such outbreaks are naturally modeled as taking place on networks. A theoretical challenge in network epidemiology is the dynamic correlations…

Physics and Society · Physics 2016-06-29 Chao-Ran Cai , Zhi-Xi Wu , Michael Z. Q. Chen , Petter Holme , Jian-Yue Guan

Compartmental models are valuable tools for investigating infectious diseases. Researchers building such models typically begin with a simple structure where compartments correspond to individuals with different epidemiological statuses,…

Populations and Evolution · Quantitative Biology 2023-07-21 Darren Flynn-Primrose , Steven C. Walker , Michael Li , Benjamin M. Bolker , David J. D. Earn , Jonathan Dushoff

Many theoretical works and tools on epidemiological field reflect the emphasis on decision-making Tools by both public health and the scientific community, which continues to increase. Indeed, in the epidemiological field, modeling tools…

Computational Engineering, Finance, and Science · Computer Science 2013-11-18 Dalila Hamami , Baghdad Atmani

We present EPITIME (EPidemic Integral models TIMe profile Explorer), a computational framework for the simulation of two classes of integral epidemic models: an age of infection model and an information dependent behavioural model. The…

Quantitative Methods · Quantitative Biology 2026-05-04 Bruno Buonomo , Eleonora Messina , Claudia Panico , Mario Pezzella , Gaetano Zanghirati

This paper describes the R package EpiILMCT, which allows users to study the spread of infectious disease using continuous time individual level models (ILMs). The package provides tools for simulation from continuous time ILMs that are…

Applications · Statistics 2021-08-17 Waleed Almutiry , Vineetha Warriyar K , Rob Deardon

There are many different probabilistic programming languages that are specialized to specific kinds of probabilistic programs. From a usability and scalability perspective, this is undesirable: today, probabilistic programmers are forced…

Programming Languages · Computer Science 2025-02-28 Sam Stites , John M. Li , Steven Holtzen

Mathematical models in epidemiology are an indispensable tool to determine the dynamics and important characteristics of infectious diseases. Apart from their scientific merit, these models are often used to inform political decisions and…

Reliable epidemiological reasoning requires synthesizing study evidence to infer disease burden, transmission dynamics, and intervention effects at the population level. Existing medical question answering benchmarks primarily emphasize…

Computation and Language · Computer Science 2026-05-27 Mingyang Wei , Dehai Min , Zewen Liu , Yuzhang Xie , Guanchen Wu , Ziyang Zhang , Carl Yang , Max S. Y. Lau , Qi He , Lu Cheng , Wei Jin

Adding interaction to logic programming is an essential task. Expressive logics such as linear logic provide a theoretical basis for such a mechanism. Unfortunately, none of the existing linear logic languages can model interactions with…

Logic in Computer Science · Computer Science 2015-07-19 Keehang Kwon

Probabilistic forecasting of infectious diseases is crucial for public health but relies on labor-intensive manual model curation by expert modeling teams. This bespoke development bottlenecks scalability to granular geographic resolutions…

Artificial Intelligence · Computer Science 2026-05-18 Sarah Martinson , Michael P. Brenner , Martyna Plomecka , Brian P. Williams , Nicholas G. Reich , Zahra Shamsi

The integration of empirical data in computational frameworks to model the spread of infectious diseases poses challenges that are becoming pressing with the increasing availability of high-resolution information on human mobility and…

Populations and Evolution · Quantitative Biology 2013-04-24 Anna Machens , Francesco Gesualdo , Caterina Rizzo , Alberto E Tozzi , Alain Barrat , Ciro Cattuto

This paper gives an introduction to rule-based modelling applied to topics in infectious diseases. Rule-based models generalise reaction-based models with reagents that have internal state and may be bound together to form complexes, as in…

Populations and Evolution · Quantitative Biology 2021-08-10 William Waites , Matteo Cavaliere , David Manheim , Jasmina Panovska-Griffiths , Vincent Danos

In this work, we present an approach called Disease Informed Neural Networks (DINNs) that can be employed to effectively predict the spread of infectious diseases. This approach builds on a successful physics informed neural network…

Machine Learning · Computer Science 2022-08-26 Sagi Shaier , Maziar Raissi , Padmanabhan Seshaiyer

Linking (aligning) biomedical concepts across diverse data sources enables various integrative analyses, but it is challenging due to the discrepancies in concept naming conventions. Various strategies have been developed to overcome this…

Information Retrieval · Computer Science 2024-05-14 Yuzhang Xie , Jiaying Lu , Joyce Ho , Fadi Nahab , Xiao Hu , Carl Yang

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…

Computation · Statistics 2018-07-26 Lam Si Tung Ho , Forrest W. Crawford , Marc A. Suchard

Infectious diseases, either emerging or long-lasting, place numerous people at risk and bring heavy public health burdens worldwide. In the process against infectious diseases, predicting the epidemic risk by modeling the disease…

Machine Learning · Computer Science 2023-08-08 Mutong Liu , Yang Liu , Jiming Liu

The widespread, and in many countries unprecedented, use of non-pharmaceutical interventions (NPIs) during the COVID-19 pandemic has highlighted the need for mathematical models which can estimate the impact of these measures while…

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…

Machine Learning · Computer Science 2021-06-04 Roberto Vega , Leonardo Flores , Russell Greiner